solution
stringlengths
53
181k
difficulty
int64
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13
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; int n, m, k, x, y, block, a[N], f[N], ff[N], b[N], ans[N], g[N], tc, tq, tt, l = 1, r, t; struct change { int p, s, la; change() {} change(int _p, int _s, int _la) { p = _p, s = _s, la = _la; } } c[N]; struct query { int l, r, t, i; query() {} query(int _l, int _r, int _t, int _i) { l = _l, r = _r, t = _t, i = _i; } } q[N]; bool cmp(query a, query b) { if (g[a.l] ^ g[b.l]) return g[a.l] < g[b.l]; if (g[a.r] ^ g[b.r]) return g[a.r] < g[b.r]; return a.t < b.t; } void del(int x) { f[x]--, ff[f[x] + 1]--, ff[f[x]]++; } void add(int x) { f[x]++, ff[f[x] - 1]--, ff[f[x]]++; } int calc() { for (int i = 1;; i++) if (!ff[i]) return i; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) scanf("%d", &a[i]), b[++tt] = a[i]; for (int i = 1; i <= m; i++) { scanf("%d%d%d", &k, &x, &y); if (k == 2) c[++tc] = change(x, y, a[x]), a[x] = y, b[++tt] = y; else q[++tq] = query(x, y, tc, tq); } sort(b + 1, b + 1 + tt); tt = unique(b + 1, b + 1 + tt) - b - 1; for (int i = 1; i <= n; i++) a[i] = lower_bound(b + 1, b + 1 + tt, a[i]) - b; for (int i = 1; i <= tc; i++) c[i].s = lower_bound(b + 1, b + 1 + tt, c[i].s) - b, c[i].la = lower_bound(b + 1, b + 1 + tt, c[i].la) - b; block = ceil(exp((log(n) + log(tc)) / 3)); for (int i = 1; i <= n; i++) g[i] = (i - 1) / block + 1; for (int i = tc; i >= 1; i--) a[c[i].p] = c[i].la; sort(q + 1, q + 1 + tq, cmp); for (int i = 1; i <= tq; i++) { while (l < q[i].l) del(a[l++]); while (l > q[i].l) add(a[--l]); while (r < q[i].r) add(a[++r]); while (r > q[i].r) del(a[r--]); while (t < q[i].t) { int p = c[++t].p; if (l <= p && p <= r) del(a[p]); a[p] = c[t].s; if (l <= p && p <= r) add(a[p]); } while (t > q[i].t) { int p = c[t].p; if (l <= p && p <= r) del(a[p]); a[p] = c[t--].la; if (l <= p && p <= r) add(a[p]); } ans[q[i].i] = calc(); } for (int i = 1; i <= tq; i++) printf("%d\n", ans[i]); }
9
#include <bits/stdc++.h> using namespace std; int main() { long n, d; cin >> n >> d; long moves = 0; long prev; cin >> prev; for (int i = 2; i <= n; i++) { long curr; cin >> curr; if (curr > prev) { prev = curr; continue; } else { long req = prev + 1 - curr; if (req % d == 0) { prev = prev + 1; moves += req / d; } else { prev = curr + (req / d + 1) * d; moves += req / d + 1; } } } cout << moves; }
0
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int N = 200005; inline int read() { int x = 0, f = 1; char c = 0; while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while ('0' <= c && c <= '9') x = 10 * x + c - '0', c = getchar(); return x * f; } struct Matrix { int m[5][5]; inline int *operator[](int id) { return m[id]; } inline Matrix operator*(Matrix rsh) { Matrix ret; memset(ret.m, 0x3f, sizeof(ret.m)); for (register int i = 0; i < 5; i++) for (register int k = 0; k < 5; k++) for (register int j = 0; j < 5; j++) ret[i][j] = min(ret[i][j], m[i][k] + rsh[k][j]); return ret; } } tr[N << 1], mdl[6]; inline void Pushup(int l, int mid, int r) { tr[(((l) + (r)) | ((l) != (r)))] = tr[(((mid + 1) + (r)) | ((mid + 1) != (r)))] * tr[(((l) + (mid)) | ((l) != (mid)))]; } void Build(int l, int r) { if (l == r) { switch (getchar()) { case '2': tr[(((l) + (r)) | ((l) != (r)))] = mdl[1]; break; case '0': tr[(((l) + (r)) | ((l) != (r)))] = mdl[2]; break; case '1': tr[(((l) + (r)) | ((l) != (r)))] = mdl[3]; break; case '7': tr[(((l) + (r)) | ((l) != (r)))] = mdl[4]; break; case '6': tr[(((l) + (r)) | ((l) != (r)))] = mdl[5]; break; default: tr[(((l) + (r)) | ((l) != (r)))] = mdl[0]; break; } return; } int mid = (l + r) >> 1; Build(l, mid); Build(mid + 1, r); Pushup(l, mid, r); } Matrix Query(int l, int r, int L, int R) { if (L <= l && r <= R) return tr[(((l) + (r)) | ((l) != (r)))]; int mid = (l + r) >> 1; if (R <= mid) return Query(l, mid, L, R); if (L > mid) return Query(mid + 1, r, L, R); return Query(mid + 1, r, L, R) * Query(l, mid, L, R); } void Init() { memset(mdl[0].m, 0x3f, sizeof(mdl[0].m)); for (int i = 0; i < 5; i++) mdl[0][i][i] = 0; for (int i = 1; i <= 5; i++) mdl[i] = mdl[0]; mdl[1][0][0] = 1, mdl[1][1][0] = 0; mdl[2][1][1] = 1, mdl[2][2][1] = 0; mdl[3][2][2] = 1, mdl[3][3][2] = 0; mdl[4][3][3] = 1, mdl[4][4][3] = 0; mdl[5][4][4] = 1, mdl[5][3][3] = 1; } int n, q; int x, y; int main() { Init(); n = read(); q = read(); Build(1, n); Matrix tmp; while (q--) { x = read(), y = read(); tmp = Query(1, n, x, y); if (tmp[4][0] > (y - x + 1)) puts("-1"); else printf("%d\n", tmp[4][0]); } return 0; }
9
#include <bits/stdc++.h> using namespace std; struct ns { int a; int b; int num; }; int cmp(const ns &a, const ns &b) { return a.a > b.a; } int n, num; ns lis[100101]; int main() { cin >> n; num = n / 2 + 1; for (int i = 1; i <= n; i++) { cin >> lis[i].a; lis[i].num = i; } for (int i = 1; i <= n; i++) cin >> lis[i].b; sort(lis + 1, lis + n + 1, cmp); cout << num << endl << lis[1].num; for (int i = 1; i <= num - 1; i++) { if (lis[2 * i].b > lis[2 * i + 1].b) cout << ' ' << lis[2 * i].num; else cout << " " << lis[2 * i + 1].num; } return 0; }
8
#include <bits/stdc++.h> using namespace std; const int maxn = 1005; long long bit[4][maxn][maxn]; int low(int p) { return p & (-p); } void merg(int u, int x, int y, int n, long long k) { while (x <= n) { int p = y; while (p <= n) { bit[u][x][p] ^= k; p = p + low(p); } x = x + low(x); } } long long sum(int u, int x, int y) { long long s = 0; while (x) { int p = y; while (p) { s ^= bit[u][x][p]; p = p - low(p); } x = x - low(x); } return s; } int get(int x, int y) { return (x % 2) * 2 + y % 2; } int main() { int i, j, n, m; cin >> n >> m; for (i = 1; i <= m; i++) { int p; int x1, y1, x2, y2; scanf("%d%d%d%d%d", &p, &x1, &y1, &x2, &y2); if (p == 1) { long long s = 0; s = sum(get(x2, y2), x2, y2); if (x1 != 1 && y1 != 1) { s ^= sum(get(x1 - 1, y1 - 1), x1 - 1, y1 - 1); } if (x1 != 1) { s ^= sum(get(x1 - 1, y2), x1 - 1, y2); } if (y1 != 1) s ^= sum(get(x2, y1 - 1), x2, y1 - 1); printf("%I64d\n", s); } else { long long v; scanf("%I64d", &v); int p = get(x1, y1); merg(p, x1, y1, n, v); merg(p, x1, y2, n, v); merg(p, x2, y1, n, v); merg(p, x2, y2, n, v); if ((x2 - x1 + 1) % 2 == 1) { merg(get(x2, y1), x2, y1, n, v); merg(get(x2 + 1, y1), x2, y1, n, v); merg(get(x2, y1), x2, y2, n, v); merg(get(x2 + 1, y1), x2, y2, n, v); } if ((y2 - y1 + 1) % 2 == 1) { merg(get(x1, y2), x1, y2, n, v); merg(get(x1, y2 + 1), x1, y2, n, v); merg(get(x1, y2), x2, y2, n, v); merg(get(x1, y2 + 1), x2, y2, n, v); } if (((x2 - x1 + 1) * (y2 - y1 + 1)) % 2 == 1) { for (j = 0; j < 4; j++) { merg(j, x2, y2, n, v); } } } } }
8
#include <bits/stdc++.h> using namespace std; int main() { int n, k; string s; cin >> n >> k; cin >> s; int ans = 0; for (long long(i) = (0); (i) < (26); (i)++) { char c = 'a' + i; int cont = 0, cur = 0; for (long long(i) = (0); (i) < (s.size()); (i)++) { if (c == s[i]) { cur++; if (cur == k) { cur = 0; cont++; } } else { cur = 0; } } ans = max(ans, cont); } cout << ans << endl; return 0; }
1
#include <bits/stdc++.h> template <class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template <class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } using namespace std; using Graph = vector<vector<long long>>; long long gcd(long long a, long long b) { if (a < b) swap(a, b); if (b == 0) return a; return gcd(b, a % b); } long long lcm(long long a, long long b) { long long g = gcd(a, b); return a / g * b; } bool prime(long long n) { for (long long i = 2; i <= sqrt(n); i++) { if (n % i == 0) return false; } return n != 1; } bool compare_by_b(pair<long long, long long> a, pair<long long, long long> b) { if (a.second != b.second) { return a.second < b.second; } else { return a.first < b.first; } } const long long MOD = 1000000007; const long long INF = 1LL << 50; signed main() { ios_base::sync_with_stdio(0); cin.tie(0); long long n; cin >> n; vector<long long> a(n); for (long long i = 0; i < (n); i++) cin >> a[i]; vector<long long> b(n); for (long long i = 0; i < (n); i++) b[i] = a[i]; vector<bool> ok(n, true); sort((b).rbegin(), (b).rend()); long long ans = 0; for (long long i = 0; i < (n); i++) { ans += b[i] * i + 1; } cout << ans << endl; vector<long long> c(n); long long now = 0; for (long long i = 0; i < (n); i++) { long long cnt = 1 + now; for (long long j = 0; j < (n); j++) { if (a[j] == b[i]) { c[j] = cnt; a[j] = -1; now++; break; } } } vector<long long> d(n); long long now2 = 1; for (long long i = 0; i < (n); i++) { for (long long j = 0; j < (n); j++) { if (c[j] == now2) { d[now2 - 1] = j + 1; now2++; break; } } } for (long long i = 0; i < (n); i++) cout << d[i] << " "; cout << endl; return 0; }
0
#include <bits/stdc++.h> int main() { int n, x, b[33][33], ans = 0; bool c[17] = {}, first = true; scanf("%d", &n); x = n / 2 + 1; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) scanf("%d", &b[i][j]); for (int i = 0;;) { if (!c[i]) { if (first) first = false; else { c[i] = 1; i = 0; } int sum = 0; for (int j = 0; j < x - 1; ++j) { if (c[j]) sum -= b[j][x - 1]; else sum += b[j][x - 1]; if (c[j] ^ c[x - 1]) sum -= b[j + x][x - 1]; else sum += b[j + x][x - 1]; } if (c[x - 1]) sum -= b[x - 1][x - 1]; else sum += b[x - 1][x - 1]; for (int j = 0; j < x - 1; ++j) { int sumcola = 0, sumcolb = 0; for (int k = 0; k < x - 1; ++k) { int q, a; if (c[k]) q = b[k][j] - b[k][j + x]; else q = b[k][j] + b[k][j + x]; if (c[k] ^ c[x - 1]) a = b[k + x][j] - b[k + x][j + x]; else a = b[k + x][j] + b[k + x][j + x]; sumcola += (q + a < -q - a ? -q - a : q + a); sumcolb += (q - a < a - q ? a - q : q - a); } sum += (sumcola + b[x - 1][j] + (c[x - 1] ? -b[x - 1][j + x] : b[x - 1][j + x]) < sumcolb - b[x - 1][j] - (c[x - 1] ? -b[x - 1][j + x] : b[x - 1][j + x]) ? sumcolb - b[x - 1][j] - (c[x - 1] ? -b[x - 1][j + x] : b[x - 1][j + x]) : sumcola + b[x - 1][j] + (c[x - 1] ? -b[x - 1][j + x] : b[x - 1][j + x])); } if (ans < sum) ans = sum; } else { c[i] = 0; ++i; if (i == x) break; } } printf("%d", ans); return 0; }
10
#include <bits/stdc++.h> using namespace std; const int maxn = 200010; int a[maxn], n, ans; int main() { while (~scanf("%d", &n)) { for (int i = 1; i <= n; i++) scanf("%d", &a[i]); ans = 0; bool fir = false, sec = false; int arb = -1; int d, pre = -1; for (int i = 1; i <= n; i++) { if (a[i] > 0) { if (!fir) fir = true; else if (!sec) { if ((a[i] - a[pre]) % (i - pre)) { arb = -1; ans++; } else { d = (a[i] - a[pre]) / (i - pre); if (arb == -1 || a[i] - 1LL * (i - arb) * d > 0) sec = true; else { ans++; arb = -1; } } } else { if (a[i] - a[pre] != 1LL * (i - pre) * d) { ans++; sec = false; arb = -1; } } pre = i; } else { if (sec && a[pre] + 1LL * (i - pre) * d <= 0) { fir = false; sec = false; ans++; arb = i; } else if (arb == -1) arb = i; } } printf("%d\n", ++ans); } return 0; }
8
#include <bits/stdc++.h> using namespace std; vector<vector<int>> adj; vector<int> parent, depth, leaves; long long k; void dfs(int u) { int kids = 0; for (int v : adj[u]) if (parent[v] == -1) { kids++; parent[v] = u; depth[v] = depth[u] + 1; dfs(v); } if (leaves.size() < k && kids == 0) leaves.push_back(u); } void out(int u, int v) { while (u != parent[v]) { cout << u + 1 << " "; u = parent[u]; } } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long n, m; cin >> n >> m >> k; adj.resize(n); for (int i = 0; i < (int)m; i++) { int x, y; cin >> x >> y; adj[x - 1].push_back(y - 1); adj[y - 1].push_back(x - 1); } depth.resize(n); parent = vector<int>(n, -1); parent[0] = -2; depth[0] = 1; dfs(0); for (int i = 0; i < (int)n; i++) if (depth[i] * k >= n) { cout << "PATH\n" << (n + k - 1) / k << "\n"; int nd = i; for (int j = 0; j < (int)(n + k - 1) / k; j++) { cout << i + 1 << " "; i = parent[i]; } cout << "\n"; return 0; } cout << "CYCLES\n"; for (int i : leaves) { int n2 = -1, n3 = -1; for (int v : adj[i]) if (v != parent[i]) if (n2 == -1) n2 = v; else { n3 = v; break; } if (depth[n2] < depth[n3]) swap(n2, n3); int d1 = depth[i], d2 = depth[n2], d3 = depth[n3]; if ((1 + d1 - d2) % 3 != 0) { cout << 1 + d1 - d2 << "\n"; out(i, n2); } else if ((1 + d1 - d3) % 3 != 0) { cout << 1 + d1 - d3 << "\n"; out(i, n3); } else if ((1 + d2 - d3 + 1) % 3 != 0) { cout << 1 + d2 - d3 + 1 << "\n"; cout << i + 1 << " "; out(n2, n3); } cout << "\n"; } }
9
#include <bits/stdc++.h> using namespace std; const int maxn = (int)1e5 + 1; int n, m; string s; int a[maxn]; int main() { cin >> n >> s; for (int i = 0; i < s.size(); i++) { if (s[i] == 'a' || s[i] == 'e' || s[i] == 'i' || s[i] == 'o' || s[i] == 'u' || s[i] == 'y') { m++; if (m == 1) { cout << s[i]; } } else { cout << s[i]; m = 0; } } }
0
#include <bits/stdc++.h> using namespace std; char str[200005]; char s[3][100005]; int p[200005]; int KMP(char* s1, char* s2) { int n = strlen(s1); int m = strlen(s2); int j = -1; p[0] = -1; for (int i = 1; i < m; i++) { while (j >= 0 && s2[i] != s2[j + 1]) j = p[j]; if (s2[i] == s2[j + 1]) j++; p[i] = j; } j = -1; for (int i = 0; i < n; i++) { if (j == m - 1) return 0; while (j >= 0 && s1[i] != s2[j + 1]) j = p[j]; if (s1[i] == s2[j + 1]) j++; } return m - 1 - j; } int combine(char* s1, char* s2, char* s3) { int ret; ret = KMP(s1, s2); str[0] = '\0'; strcat(str, s1); strcat(str, s2 + strlen(s2) - ret); ret = KMP(str, s3); return ret + strlen(str); } int main() { int ret, ans = 0x7fffffff; scanf("%s%s%s", s[0], s[1], s[2]); ret = combine(s[0], s[1], s[2]); if (ret < ans) ans = ret; ret = combine(s[0], s[2], s[1]); if (ret < ans) ans = ret; ret = combine(s[1], s[0], s[2]); if (ret < ans) ans = ret; ret = combine(s[1], s[2], s[0]); if (ret < ans) ans = ret; ret = combine(s[2], s[0], s[1]); if (ret < ans) ans = ret; ret = combine(s[2], s[1], s[0]); if (ret < ans) ans = ret; printf("%d\n", ans); return 0; }
7
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int N = 1e6 + 5; int n; long long a[N], sum[N], ans[N]; map<long long, int> Last; int Q; struct Node { int l, r, id; bool operator<(Node ort) const { if (r != ort.r) return r < ort.r; else return l < ort.l; } } que[N]; void read() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%lld", &a[i]); sum[i] = sum[i - 1] ^ a[i]; } scanf("%d", &Q); for (int i = 1; i <= Q; i++) { scanf("%d %d", &que[i].l, &que[i].r); que[i].id = i; } } const int maxn = 1000005 * 4; struct Tree { int l, r; long long sum; }; Tree node[maxn]; void PushUp(int i) { node[i].sum = node[i << 1].sum ^ node[(i << 1) | 1].sum; } void build(int i, int l, int r) { node[i].l = l; node[i].r = r; if (l == r) { node[i].sum = 0; return; } int mid = (l + r) / 2; build(i << 1, l, mid); build((i << 1) | 1, mid + 1, r); PushUp(i); } long long getsum(int i, int l, int r) { if (node[i].l == l && node[i].r == r) return node[i].sum; int mid = (node[i].l + node[i].r) / 2; if (r <= mid) return getsum(i << 1, l, r); else if (l > mid) return getsum((i << 1) | 1, l, r); else return getsum(i << 1, l, mid) ^ getsum((i << 1) | 1, mid + 1, r); } void add(int i, int k, long long v) { if (node[i].l == k && node[i].r == k) { node[i].sum ^= v; return; } int mid = (node[i].l + node[i].r) / 2; if (k <= mid) add(i << 1, k, v); else add((i << 1) | 1, k, v); PushUp(i); } void init() { sort(que + 1, que + 1 + Q); build(1, 1, n); } void solve() { int p = 1; int askP = 1; while (p <= n) { if (Last[a[p]] != 0) { add(1, Last[a[p]], a[p]); add(1, p, a[p]); } else add(1, p, a[p]); Last[a[p]] = p; while (que[askP].r == p) { ans[que[askP].id] = getsum(1, que[askP].l, que[askP].r) ^ (sum[que[askP].r] ^ sum[que[askP].l - 1]); askP++; } p++; } for (int i = 1; i <= Q; i++) printf("%lld\n", ans[i]); } int main() { read(); init(); solve(); }
6
#include <bits/stdc++.h> inline int read() { char c, _c; int x; for (c = _c = getchar(); !isdigit(c); c = getchar()) { _c = c; } for (x = 0; isdigit(c); c = getchar()) { x = x * 10 + c - '0'; } return _c == '-' ? -x : x; } const int mod = 1e9 + 7, inv2 = (mod + 1) / 2; struct Point { long long x, y; }; Point operator+(const Point &u, const Point &v) { return (Point){u.x + v.x, u.y + v.y}; } Point operator-(const Point &u, const Point &v) { return (Point){u.x - v.x, u.y - v.y}; } long long operator^(const Point &u, const Point &v) { return u.x * v.y - u.y * v.x; } const int N = 1e6 + 5; int n, ans; long long f[N], g[N]; Point p[N], q[N]; int main() { n = read(); for (int i = 1; i <= n; i++) { p[i].x = read(); p[i].y = read(); q[i] = q[i - 1] + p[i]; q[i].x %= mod; q[i].y %= mod; } for (int i = 2; i <= n; i++) { f[i] = f[i - 1] + (p[i - 1] ^ p[i]); g[i] = (g[i - 1] + f[i]) % mod; } f[n + 1] = f[n] + (p[n] ^ p[1]); for (int i = 3, j = 1; i <= n; i++) { for (; j < i - 1 && std::abs(f[n + 1]) < std::abs((f[i] - f[j]) + (p[i] ^ p[j])) * 2.0L; j++) ; ans = (ans + f[i] % mod * (i - j - 1) - (g[i - 2] - g[j - 1]) + (p[i] ^ (q[i - 2] - q[j - 1]))) % mod; ans = (ans + (f[n + 1] - f[i]) % mod * (j - 1) + g[j - 1] - (p[i] ^ q[j - 1])) % mod; } ans = (ans + mod) * 2ll % mod; ans = (ans + std::abs(f[n + 1]) % mod * inv2 % mod * n % mod * (n - 3)) % mod; printf("%d\n", ans); return 0; }
10
#include <bits/stdc++.h> using namespace std; double const EPS = 1e-8, PI = acos(-1); const int N = 1e9 + 9, M = 1e6 + 1, OO = 1e9 + 1; const long long MOD = 1e9 + 7; void INPUT() { cout << fixed << setprecision(0); ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); } int n, m, a, b; int main() { INPUT(); cin >> n >> m >> a >> b; int arr1[n], arr2[m]; for (int i = 0; i < n; ++i) { cin >> arr1[i]; } for (int i = 0; i < m; ++i) { cin >> arr2[i]; } bool can = (arr1[a - 1] < arr2[m - b]); cout << (can ? "YES\n" : "NO\n"); return 0; }
0
#include <bits/stdc++.h> using namespace std; int main() { long long n; cin >> n; if (n % 2 == 0) cout << 2 << endl; else cout << 1 << endl; }
2
#include <bits/stdc++.h> using namespace std; int32_t main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n, a, b, k; cin >> n >> a >> b >> k; priority_queue<long long, vector<long long>, greater<long long> > q; long long cnt = 0; for (long long i = 0; i < n; i++) { long long x; cin >> x; if (x % (a + b) && x % (a + b) <= a) cnt++; else { long long y = x % (a + b) ? x % (a + b) : a + b; long long z = (y + a - 1) / a; q.push(z - 1); } } while (q.size() && k >= q.top()) { cnt += 1; k -= q.top(); q.pop(); } cout << cnt << '\n'; }
3
#include <bits/stdc++.h> using namespace std; long long int fast_expo(long long int x, long long int p) { if (p == 0) return 1; else if (p % 2 == 0) { long long int t = fast_expo(x, p / 2) % 998244353; return (t * t) % 998244353; } else return (x * (fast_expo(x, p - 1)) % 998244353) % 998244353; } int main() { long long int n, m; cin >> n >> m; long long int p = n / 2 + 1; long long int neg = 0; long long int ans = 0; long long int pos = (n * (n - 1)) / 2; for (long long int i = 1; i <= n; i++) { neg += abs(i - p); } long long int x, d; for (int i = 0; i < m; i++) { cin >> x >> d; ans += (x * n); if (d < 0) ans += neg * d; else ans += pos * d; } double res = (double)ans / n; cout << fixed << setprecision(8) << res << '\n'; }
4
#include <bits/stdc++.h> using namespace std; int N, A[100022], Pair[100022]; int Sum[100022]; char S[100022]; inline void Up(int &a, int b) { if (a < b) a = b; } inline char Match(char a) { if (a == '[') return ']'; if (a == '(') return ')'; if (a == ']') return '['; if (a == ')') return '('; assert(0); return 'F'; } int main() { scanf("%s", S + 1); N = strlen(S + 1); Sum[0] = 0; for (int i = 1; i <= N; ++i) { Sum[i] = Sum[i - 1] + (S[i] == '['); } static pair<char, int> Stack[100022]; int Stop = 0; Pair[0] = 1000000000; for (int i = 1; i <= N; ++i) { int &res = Pair[i] = 1000000000; char c = S[i]; if (c == '(' || c == '[') { Stack[++Stop] = pair<char, int>(c, i); res = 1000000000; continue; } assert(c == ')' || c == ']'); if (Stop == 0 || Stack[Stop].first != Match(c)) { res = 1000000000; Stop = 0; continue; } int left = res = Stack[Stop].second; if (left == 1 || Pair[left - 1] == 1000000000) res = left; else res = Pair[left - 1]; --Stop; } int ans = 0; for (int i = 1; i <= N; ++i) if (Pair[i] != 1000000000) Up(ans, Sum[i] - Sum[Pair[i] - 1]); printf("%d\n", ans); if (ans == 0) { printf("\n"); return 0; } for (int i = 1; i <= N; ++i) if (Pair[i] != 1000000000) if (Sum[i] - Sum[Pair[i] - 1] == ans) { for (int itr = Pair[i]; itr <= i; ++itr) putchar(S[itr]); puts(""); break; } return 0; }
4
#include <bits/stdc++.h> using namespace std; #pragma comment(linker, "/STACK:255000000") bool firstout = 1; template <class T> T &minn(T &a, T b) { if (b < a) a = b; return a; } template <class T> T &maxx(T &a, T b) { if (a < b) a = b; return a; } int &madd(int &a, int b) { a += b; if (a >= 1000000009) a -= 1000000009; return a; } int &msub(int &a, int b) { a -= b; if (a < 0) a += 1000000009; return a; } int &mmult(int &a, int b) { return a = (long long)a * b % 1000000009; } int mdiv(long long a, long long b, long long m) { a = (a % m + m) % m; b = (b % m + m) % m; if (a % b == 0) return a / b; return (a + m * mdiv(-a, m, b)) / b; } int n, m; int A[501234]; int T[501234]; int P[501234]; void fnd(int i, int p) { if (A[i] >= p) return; fnd(P[i], p); A[i] = A[P[i]]; T[i] += T[P[i]]; P[i] = P[P[i]]; } int main() { int i, j, k; char c; int a, d; int ts; for (ts = 1; scanf("%" "d", &(n)) > 0; ++ts) { for (i = (0); i < (n); ++i) scanf( "%" "d", &(A[i])); reverse(A, A + n); for (i = (n); i < (2 * n); ++i) A[i] = A[i - n]; for (i = (0); i < (2 * n); ++i) A[i] += i; for (i = (0); i < (2 * n); ++i) T[i] = 1; set<pair<int, int> > s; s.insert(make_pair(2 * n - 1, A[2 * n - 1])); for (i = (2 * n - 1) - 1; i >= (0); --i) { P[i] = (--s.lower_bound(make_pair(A[i], 1012345678)))->first; for (; s.size() && s.begin()->second <= A[i]; s.erase(s.begin())) ; s.insert(make_pair(i, A[i])); } long long res = 0; for (i = (0); i < (n); ++i) { fnd(i, i + n - 1); res += T[i]; } printf( "%" "I64d", (res)); printf("\n"), firstout = 1; } return 0; }
5
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; string s; cin >> t; set<char> st; vector<char> v; while (t--) { cin >> s; for (int i = 0; i < s.size(); i++) { char ch = s.at(i); st.insert(ch); } if (st.size() == 1) { cout << -1 << endl; } else { for (int i = 0; i < s.size(); i++) { v.push_back(s.at(i)); } sort(v.begin(), v.end()); for (int i = 0; i < v.size(); i++) { cout << v[i]; } cout << endl; v.clear(); } st.clear(); } return 0; }
0
#include <bits/stdc++.h> using namespace std; int main() { string s1, s2; cin >> s1 >> s2; int n = s1.length(), m = s2.length(); int ans = 0; for (int i = 1; i <= min(n, m); i++) { if (n % i == 0 && m % i == 0) { set<string> is; for (int j = 0; j < n; j += i) { is.insert(s1.substr(j, i)); if (is.size() > 1) break; } for (int j = 0; j < m; j += i) { is.insert(s2.substr(j, i)); if (is.size() > 1) break; } if (is.size() == 1) { ans++; } } } printf("%d\n", ans); return 0; }
3
#include <bits/stdc++.h> #pragma GCC optimize("O3") const long long INF = 0x3f3f3f3f3f3f3f3f; const long long llinf = (1LL << 61); const int inf = (1 << 30); const int nmax = 1e3 + 50; const int mod = 1e9 + 7; using namespace std; int n, m, i, j, a[nmax][nmax], aa[nmax][nmax], b[nmax][nmax], bb[nmax][nmax], ca[nmax][nmax], cb[nmax][nmax], mn; char c[nmax][nmax]; vector<pair<pair<int, int>, int> > ans; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cerr.tie(0); cout.tie(0); cin >> n >> m; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) cin >> c[i][j]; for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) if (c[i][j] == '*') a[i][j] = a[i][j - 1] + 1; for (j = m; j >= 1; j--) if (c[i][j] == '*') aa[i][j] = aa[i][j + 1] + 1; } for (i = 1; i <= m; i++) { for (j = 1; j <= n; j++) if (c[j][i] == '*') b[j][i] = b[j - 1][i] + 1; for (j = n; j >= 1; j--) if (c[j][i] == '*') bb[j][i] = bb[j + 1][i] + 1; } for (i = 1; i <= n; i++) { for (j = 1; j <= m; j++) { if (c[i][j] == '*') { mn = min(min(a[i][j], aa[i][j]), min(b[i][j], bb[i][j])); if (mn > 1) { ca[i][j - mn + 1]++; ca[i][j + mn]--; cb[i - mn + 1][j]++; cb[i + mn][j]--; ans.push_back({{i, j}, mn - 1}); } } } } for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) ca[i][j] += ca[i][j - 1]; for (i = 1; i <= m; i++) for (j = 1; j <= n; j++) cb[j][i] += cb[j - 1][i]; for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) if (c[i][j] == '*' && !ca[i][j] && !cb[i][j]) return cout << -1 << endl, 0; cout << ans.size() << endl; for (i = 0; i < ans.size(); i++) cout << ans[i].first.first << " " << ans[i].first.second << " " << ans[i].second << endl; return 0; }
4
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; int n; vector<int> adj[N]; int W[N], degree[N], val[N], root; void pre_dfs(int i = 1, int p = -1) { W[i] = 1; for (auto x : adj[i]) if (x != p) pre_dfs(x, i), W[i] += W[x]; } int getCentroid(int i = 1, int p = -1) { for (auto x : adj[i]) if (x != p) if (2 * W[x] > n) return getCentroid(x, i); return i; } void dfs(int i = root, int p = -1, int depth = 0) { if (val[depth] == 0) val[depth] = degree[i]; else if (val[depth] != degree[i]) val[depth] = -1; for (auto x : adj[i]) if (x != p) dfs(x, i, depth + 1); } pair<int, int> getEndOfChain(int i, int p) { if (degree[i] == 1) return make_pair(1, i); if (degree[i] != 2) return make_pair(-1, -1); for (auto x : adj[i]) if (x != p) { pair<int, int> temp = getEndOfChain(x, i); if (temp.second == -1) return temp; return make_pair(temp.first + 1, temp.second); } } int main() { scanf("%d", &n); for (int i = 1; i < n; i++) { int u, v; scanf("%d%d", &u, &v); adj[u].push_back(v); adj[v].push_back(u); degree[u]++; degree[v]++; } pre_dfs(); root = getCentroid(); pair<int, int> mn = {1e6, -1}, mx = {-1, -1}; for (auto x : adj[root]) { pair<int, int> temp = getEndOfChain(x, root); if (temp.second != -1) { mn = min(mn, temp); mx = max(mx, temp); } } bool ok = true; dfs(root); for (int i = 0; i < N; i++) if (val[i] == -1) ok = false; if (ok) return cout << root << '\n', 0; if (mn.second != -1) { memset(val, 0, sizeof(val)); dfs(mn.second); ok = true; for (int i = 0; i < N; i++) if (val[i] == -1) ok = false; if (ok) return cout << mn.second << '\n', 0; } if (mx.second != -1) { memset(val, 0, sizeof(val)); dfs(mx.second); ok = true; for (int i = 0; i < N; i++) if (val[i] == -1) ok = false; if (ok) return cout << mx.second << '\n', 0; } cout << "-1\n"; return 0; }
8
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> std::istream& operator>>(std::istream& i, pair<T, U>& p) { i >> p.first >> p.second; return i; } template <typename T> std::istream& operator>>(std::istream& i, vector<T>& t) { for (auto& v : t) { i >> v; } return i; } template <typename T, typename U> std::ostream& operator<<(std::ostream& o, const pair<T, U>& p) { o << p.first << ' ' << p.second; return o; } template <typename T> std::ostream& operator<<(std::ostream& o, const vector<T>& t) { if (t.empty()) o << '\n'; for (size_t i = 0; i < t.size(); ++i) { o << t[i] << " \n"[i == t.size() - 1]; } return o; } template <typename T> using minheap = priority_queue<T, vector<T>, greater<T>>; template <typename T> using maxheap = priority_queue<T, vector<T>, less<T>>; template <typename T> bool in(T a, T b, T c) { return a <= b && b < c; } unsigned int logceil(int first) { return 8 * sizeof(int) - __builtin_clz(first); } namespace std { template <typename T, typename U> struct hash<pair<T, U>> { hash<T> t; hash<U> u; size_t operator()(const pair<T, U>& p) const { return t(p.first) ^ (u(p.second) << 7); } }; } // namespace std template <typename T, typename F> T bsh(T l, T h, const F& f) { T r = -1, m; while (l <= h) { m = (l + h) / 2; if (f(m)) { l = m + 1; r = m; } else { h = m - 1; } } return r; } template <typename F> double bshd(double l, double h, const F& f, double p = 1e-9) { unsigned int r = 3 + (unsigned int)log2((h - l) / p); while (r--) { double m = (l + h) / 2; if (f(m)) { l = m; } else { h = m; } } return (l + h) / 2; } template <typename T, typename F> T bsl(T l, T h, const F& f) { T r = -1, m; while (l <= h) { m = (l + h) / 2; if (f(m)) { h = m - 1; r = m; } else { l = m + 1; } } return r; } template <typename F> double bsld(double l, double h, const F& f, double p = 1e-9) { unsigned int r = 3 + (unsigned int)log2((h - l) / p); while (r--) { double m = (l + h) / 2; if (f(m)) { h = m; } else { l = m; } } return (l + h) / 2; } template <typename T> T gcd(T a, T b) { if (a < b) swap(a, b); return b ? gcd(b, a % b) : a; } template <typename T> class vector2 : public vector<vector<T>> { public: vector2() {} vector2(size_t a, size_t b, T t = T()) : vector<vector<T>>(a, vector<T>(b, t)) {} }; template <typename T> class vector3 : public vector<vector2<T>> { public: vector3() {} vector3(size_t a, size_t b, size_t c, T t = T()) : vector<vector2<T>>(a, vector2<T>(b, c, t)) {} }; template <typename T> class vector4 : public vector<vector3<T>> { public: vector4() {} vector4(size_t a, size_t b, size_t c, size_t d, T t = T()) : vector<vector3<T>>(a, vector3<T>(b, c, d, t)) {} }; template <typename T> class vector5 : public vector<vector4<T>> { public: vector5() {} vector5(size_t a, size_t b, size_t c, size_t d, size_t e, T t = T()) : vector<vector4<T>>(a, vector4<T>(b, c, d, e, t)) {} }; template <unsigned int N> class Field { inline unsigned int pow(unsigned int a, unsigned int p) { unsigned int r = 1, e = a; while (p) { if (p & 1) { r = ((unsigned long long)r * e) % N; } e = ((unsigned long long)e * e) % N; p >>= 1; } return r; } inline unsigned int inv(unsigned int a) { return pow(a, N - 2); } public: inline Field(int first = 0) : v(first) {} inline Field<N> pow(int p) { return (*this) ^ p; } inline Field<N> operator^(int p) { return {(int)pow(v, (unsigned int)p)}; } inline Field<N>& operator+=(const Field<N>& o) { if ((long long)v + o.v >= N) v += o.v - N; else v += o.v; return *this; } inline Field<N>& operator-=(const Field<N>& o) { if (v < o.v) v -= o.v - N; else v -= o.v; return *this; } inline Field<N>& operator*=(const Field<N>& o) { v = (unsigned long long)v * o.v % N; return *this; } inline Field<N>& operator/=(const Field<N>& o) { return *this *= inv(o.v); } inline Field<N> operator+(const Field<N>& o) const { Field<N> r{*this}; return r += o; } inline Field<N> operator-(const Field<N>& o) const { Field<N> r{*this}; return r -= o; } inline Field<N> operator*(const Field<N>& o) const { Field<N> r{*this}; return r *= o; } inline Field<N> operator/(const Field<N>& o) const { Field<N> r{*this}; return r /= o; } inline Field<N> operator-() { if (v) return {(int)(N - v)}; else return {0}; }; inline Field<N>& operator++() { ++v; if (v == N) v = 0; return *this; } inline Field<N> operator++(int) { Field<N> r{*this}; ++*this; return r; } inline Field<N>& operator--() { --v; if (v == -1) v = N - 1; return *this; } inline Field<N> operator--(int) { Field<N> r{*this}; --*this; return r; } inline bool operator==(const Field<N>& o) const { return o.v == v; } inline bool operator!=(const Field<N>& o) const { return o.v != v; } inline explicit operator unsigned int() const { return v; } inline static vector<Field<N>> fact(int t) { vector<Field<N>> F(t + 1, 1); for (int i = 2; i <= t; ++i) { F[i] = F[i - 1] * i; } return F; } inline static vector<Field<N>> invfact(int t) { vector<Field<N>> F(t + 1, 1); Field<N> X{1}; for (int i = 2; i <= t; ++i) { X = X * i; } F[t] = 1 / X; for (int i = t - 1; i >= 2; --i) { F[i] = F[i + 1] * (i + 1); } return F; } private: unsigned int v; }; template <unsigned int N> istream& operator>>(std::istream& is, Field<N>& f) { unsigned int v; is >> v; f = v; return is; } template <unsigned int N> ostream& operator<<(std::ostream& os, const Field<N>& f) { return os << (unsigned int)f; } template <unsigned int N> Field<N> operator+(int i, const Field<N>& f) { return Field<N>(i) + f; } template <unsigned int N> Field<N> operator-(int i, const Field<N>& f) { return Field<N>(i) - f; } template <unsigned int N> Field<N> operator*(int i, const Field<N>& f) { return Field<N>(i) * f; } template <unsigned int N> Field<N> operator/(int i, const Field<N>& f) { return Field<N>(i) / f; } struct Ring { static int div(int p, int q, int N) { long long t = 0, nt = 1, r = N, nr = q; while (nr) { long long q = r / nr; t -= q * nt; r -= q * nr; swap(t, nt); swap(r, nr); } t = (t < 0) ? t + N : t; r = (r < 0) ? r + N : r; if (gcd(p, N) % r) { return 0; } return (int)(((long long)t * (long long)p / r) % N); } }; class intervalcubing { public: vector2<Field<95542721>> D; vector<int> S; int M; Field<95542721> sum(int I, int L, int R, int l, int r) { if (l <= L && r >= R) return D[I][S[I]]; if (l >= R || r <= L) return 0; if (S[I]) { rotate(D[I].begin(), D[I].begin() + S[I], D[I].end()); (S[2 * I] += S[I]) %= 48; (S[2 * I + 1] += S[I]) %= 48; S[I] = 0; } return sum(2 * I, L, (L + R) / 2, l, r) + sum(2 * I + 1, (L + R) / 2, R, l, r); } void update(int I, int L, int R, int l, int r) { if (l <= L && r >= R) { (++S[I]) %= 48; return; } else if (l >= R || r <= L) return; if (S[I]) { (S[2 * I] += S[I]) %= 48; (S[2 * I + 1] += S[I]) %= 48; S[I] = 0; } update(2 * I, L, (L + R) / 2, l, r); update(2 * I + 1, (L + R) / 2, R, l, r); for (int i = 0; i < 48; ++i) { D[I][i] = D[2 * I][(i + S[2 * I]) % 48] + D[2 * I + 1][(i + S[2 * I + 1]) % 48]; } } void solve(istream& cin, ostream& cout) { int N; cin >> N; vector<int> A(N); cin >> A; M = 1 << logceil(N); D = vector2<Field<95542721>>(2 * M, 48, 0); S = vector<int>(2 * M, 0); for (int i = 0; i < N; ++i) { D[i + M][0] = A[i] % 95542721; for (int j = 1; j < 48; ++j) D[i + M][j] = D[i + M][j - 1] * D[i + M][j - 1] * D[i + M][j - 1]; } for (int i = M - 1; i > 0; --i) { for (int j = 0; j < 48; ++j) { D[i][j] = D[2 * i][j] + D[2 * i + 1][j]; } } int Q; cin >> Q; for (int q = 0; q < Q; ++q) { int t, l, r; cin >> t >> l >> r; --l; if (t == 1) { cout << sum(1, 0, M, l, r) << '\n'; } else { update(1, 0, M, l, r); } } } }; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); intervalcubing solver; std::istream& in(std::cin); std::ostream& out(std::cout); solver.solve(in, out); return 0; }
9
#include <bits/stdc++.h> using namespace std; int dx[] = {0, 1, 0, -1}; int dy[] = {1, 0, -1, 0}; int ddx[] = {1, 0}; int ddy[] = {1, 1}; int n; vector<int> vec; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; for (int i = 0; i < n; i++) { int a; cin >> a; vec.push_back(a); } vector<pair<int, int> > aux; int maxi = 0; set<int> divi; for (int i = 0; i < int(vec.size()); i++) { aux.push_back({(vec[i]) / n, (vec[i]) % n}); divi.insert(vec[i] / n); } for (auto a : divi) { for (int j = 0; j < int(aux.size()); j++) { int d = aux[j].first, r = aux[j].second; if (d < a) { cout << j + 1 << "\n"; return 0; } else if (d == a) { if (j >= r) { cout << j + 1 << "\n"; return 0; } } } } return 0; }
2
#include <bits/stdc++.h> using namespace std; const double EPS = 1e-9; const double PI = 3.1415926535897932384626433832795; unsigned long long mod = 1000 * 1000 * 1000 + 7; vector<int> v(20000001, 1); int main() { int a, n; cin >> a >> n; for (int i = 1; i * i < a + n; i++) { int sq = i * i; for (int j = sq; j < a + n; j += sq) v[j] = sq; } long long res = 0; for (int i = a; i < a + n; i++) res += i / v[i]; cout << res << endl; return 0; }
3
#include <bits/stdc++.h> using namespace std; int main() { int i, j, n, m, k; cin >> n >> m >> k; int a[105]; for (i = 0; i < n; i++) { cin >> a[i]; } int sum = 0; for (i = 0; i < n - m; i++) { sum += a[i]; } for (i = n - m; i < n; i++) { sum += k; } cout << sum << endl; }
0
#include <bits/stdc++.h> using namespace std; class Solution { public: long long solve(long long m, long long d, long long w) { auto gcd = [&](long long a, long long b) { while (a != 0) { b %= a; swap(a, b); } return b; }; long long res = 0; auto n = min(m, d); long long g = 0; if (d % w == 0) { g = w; } else { auto gg = gcd(d - 1, w); g = w / gg; } if (g == -1) { res = n * (n - 1); } else { long long p = n / g; res = n * p - p * (p + 1) / 2 * g; } return res; } }; int main(int argc, char** argv) { ios::sync_with_stdio(false); cin.tie(0); Solution sol; int t; cin >> t; while (t-- > 0) { int m, d, w; cin >> m >> d >> w; cout << sol.solve(m, d, w) << '\n'; } return 0; }
7
#include <bits/stdc++.h> using namespace std; long long int a[111111], mn = 999, mx, x, y, sum, n, m, i, j, c, z, l, r; string s; int main() { cin >> x >> y >> n >> m; c = max(3 * x / 10, x - x / 250 * n); z = max(3 * y / 10, y - y / 250 * m); if (c > z) { cout << "Misha"; } else if (z > c) { cout << "Vasya"; } else { cout << "Tie"; } return 0; }
0
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; const long long inf = 2147383647; const double pi = 2 * acos(0.0); const double eps = 1e-9; struct debugger { template <typename T> debugger& operator,(const T& v) { cerr << v << " "; return *this; } } dbg; inline long long gcd(long long a, long long b) { a = ((a) < 0 ? -(a) : (a)); b = ((b) < 0 ? -(b) : (b)); while (b) { a = a % b; swap(a, b); } return a; } long long ext_gcd(long long A, long long B, long long* X, long long* Y) { long long x2, y2, x1, y1, x, y, r2, r1, q, r; x2 = 1; y2 = 0; x1 = 0; y1 = 1; for (r2 = A, r1 = B; r1 != 0; r2 = r1, r1 = r, x2 = x1, y2 = y1, x1 = x, y1 = y) { q = r2 / r1; r = r2 % r1; x = x2 - (q * x1); y = y2 - (q * y1); } *X = x2; *Y = y2; return r2; } inline long long modInv(long long a, long long m) { long long x, y; ext_gcd(a, m, &x, &y); if (x < 0) x += m; return x; } inline long long power(long long a, long long p) { long long res = 1, x = a; while (p) { if (p & 1) res = (res * x); x = (x * x); p >>= 1; } return res; } inline long long bigmod(long long a, long long p, long long m) { long long res = 1 % m, x = a % m; while (p) { if (p & 1) res = (res * x) % m; x = (x * x) % m; p >>= 1; } return res; } using namespace std; template <typename T> ostream& operator<<(ostream& out, vector<T> v) { out << "[ "; for (int i = 0; i < (((int)(v).size())); i++) { if (i) out << ", "; out << v[i]; } out << " ]"; return out; } template <typename T1, typename T2> ostream& operator<<(ostream& out, pair<T1, T2> p) { out << "( " << p.first << ", " << p.second << ")"; return out; } template <typename T> ostream& operator,(ostream& out, T x) { out << x << " "; return out; } int matA[57][57], matB[57][57]; int N, M; bool isIncreasing(int mat[57][57]) { for (int i = 0; i < (N); i++) { for (int j = 0; j < (M); j++) { if (i > 0 && mat[i - 1][j] >= mat[i][j]) { return false; } if (j > 0 && mat[i][j - 1] >= mat[i][j]) { return false; } } } return true; } bool solve() { for (int i = 0; i < (N); i++) { for (int j = 0; j < (M); j++) { if (matA[i][j] > matB[i][j]) { swap(matA[i][j], matB[i][j]); } } } return isIncreasing(matA) && isIncreasing(matB); } int main() { scanf("%d %d", &N, &M); for (int i = 0; i < (N); i++) { for (int j = 0; j < (M); j++) { scanf("%d", &matA[i][j]); } } for (int i = 0; i < (N); i++) { for (int j = 0; j < (M); j++) { scanf("%d", &matB[i][j]); } } if (solve()) { printf("Possible\n"); } else { printf("Impossible\n"); } return 0; }
3
#include <bits/stdc++.h> using namespace std; long long ans[110]; int main() { long long n, m, k; cin >> n >> m >> k; long long f[110]; for (long long i = 0; i < m; i++) cin >> f[i]; long long mm[110]; for (long long i = 0; i < k; i++) cin >> mm[i]; long long mn = 999999999999; for (long long i = 0; i < m; i++) { for (long long j = 0; j < k; j++) { if (mm[j] % f[i] == 0) ans[i + 1]++; } mn = min(mn, ans[i + 1]); } long long xx = 0; for (long long i = 1; i <= m; i++) { if (ans[i] == mn) xx++; } cout << xx << '\n'; for (long long i = 1; i <= m; i++) { if (ans[i] == mn) cout << i << ' '; } return 0; }
2
#include <bits/stdc++.h> using namespace std; inline bool iseq(double x, double y) { if (fabs(x - y) < 1e-8) return true; return false; } template <typename T> inline T hpt(T x1, T y1, T x2, T y2) { return hypot(x1 - x2, y1 - y2); } template <typename T> inline T gcd(T a, T b) { if (!b) return a; else return gcd(b, a % b); } template <typename T> inline void extended_euclid(T a, T b, T &x, T &y) { if (a % b == 0) x = 0, y = 1; else { extended_euclid(b, a % b, x, y); T temp = x; x = y; y = -y * (a / b) + temp; } } template <typename T> inline T bigmod(T b, T p, T m) { if (!p) return 1; else if (!(p % 2)) { T x = bigmod(b, p / 2, m); return (x * x) % m; } else return ((b % m) * bigmod(b, p - 1, m)) % m; } int prime[5 / 32 + 1]; void setbit(int i) { int p = i >> 5, q = i & 31; prime[p] |= (1 << q); } bool checkbit(int i) { int p = i >> 5, q = i & 31; return prime[p] & (1 << q) ? true : false; } void buildprime(int n) { int i, j, k = sqrt(double(n)); prime[0] = 3; for (i = 4; i < n; i += 2) setbit(i); for (i = 3; i <= k; i += 2) { if (!checkbit(i)) { int ii = i + i; for (j = i * i; j < n; j += ii) setbit(j); } } } int sum, r, n, N, R, C, m; int power[105], player[25], dp[20][1 << 20]; bool nisi[20][1 << 20]; string cmd[25]; int doit(int p, int bit) { if (m <= p) return 0; int &ret = dp[p][bit]; if (nisi[p][bit]) return ret; nisi[p][bit] = true; if (player[p] == 1) ret = -(1 << 30); else ret = (1 << 30); for (int i = 0; i < m; ++i) if ((bit & (1 << i)) == 0) { int extra = 0; if (cmd[p] == "p") extra = power[i]; int tem = doit(p + 1, bit | (1 << i)); if (player[p] == 1) ret = max(ret, tem + extra); else ret = min(ret, tem - extra); } return ret; } int main() { int i, j, k; while (scanf("%d", &n) == 1) { for ((i) = (0); (i) < (n); (i)++) scanf("%d", &power[i]); sort(power, power + n); reverse(power, power + n); scanf("%d", &m); for ((i) = (0); (i) < (m); (i)++) cin >> cmd[i] >> player[i]; memset(nisi, 0, sizeof(nisi)); int ans = doit(0, 0); cout << ans << endl; } return 0; }
7
#include <bits/stdc++.h> using namespace std; vector<int> ans[222]; int main() { int n; scanf("%d", &n); int lb = 1, rb = n + 1; for (int mid = (lb + rb) / 2; lb < rb - 1; mid = (lb + rb) / 2) if (mid * (mid - 1) / 2 <= n) lb = mid; else rb = mid; printf("%d\n", lb); for (int i = 1; i <= lb; i++) for (int j = i + 1; j <= lb; j++) { static int idx = 0; ans[i].push_back(++idx); ans[j].push_back(idx); } for (int i = 1; i <= lb; i++) { for (int j = 0; j < (int)ans[i].size(); j++) printf("%d ", ans[i][j]); printf("\n"); } }
4
#include <bits/stdc++.h> const int N = 200010; const int MOD = 1e9 + 7; using namespace std; struct nn { int cost, qui; } a[N]; int ta[N], tc[N]; int n, m, tot = 0, RT = 0; int ans[N], val[N], son[N][2], rnd[N]; int APL(int num) { int x = ++tot; son[x][0] = son[x][1] = 0; val[x] = num; rnd[x] = rand(); return x; } int cmp(nn A, nn B) { if (A.qui == B.qui) return A.cost < B.cost; return A.qui > B.qui; } void PUSHD(int x) { if (!x) return; ans[x] += ta[x]; val[x] += tc[x]; if (son[x][0]) ta[son[x][0]] += ta[x], tc[son[x][0]] += tc[x]; if (son[x][1]) ta[son[x][1]] += ta[x], tc[son[x][1]] += tc[x]; ta[x] = tc[x] = 0; } void PUSH(int x) { if (!x) return; PUSHD(x); if (son[x][0]) PUSH(son[x][0]); if (son[x][1]) PUSH(son[x][1]); } void SPLT(int x, int num, int &L, int &R) { if (!x) { L = R = 0; return; } PUSHD(x); if (val[x] <= num) L = x, SPLT(son[x][1], num, son[L][1], R); else R = x, SPLT(son[x][0], num, L, son[x][0]); PUSHD(L); PUSHD(R); } int MERGE(int L, int R) { PUSHD(L); PUSHD(R); if (L * R == 0) return L + R; if (rnd[L] < rnd[R]) { son[L][1] = MERGE(son[L][1], R); return L; } else { son[R][0] = MERGE(L, son[R][0]); return R; } } int GETMX(int x) { int now = x; PUSHD(now); while (son[now][1]) now = son[now][1], PUSHD(now); return val[now]; } void ADD(int &rt, int now) { if (!now) return; PUSHD(now); if (son[now][0]) ADD(rt, son[now][0]); if (son[now][1]) ADD(rt, son[now][1]); son[now][0] = son[now][1] = 0; int y, z; SPLT(rt, val[now], y, z); rt = MERGE(MERGE(y, now), z); } void READ() { int x, y, num; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d%d", &a[i].cost, &a[i].qui); sort(a + 1, a + n + 1, cmp); scanf("%d", &m); for (int i = 1; i <= m; i++) { scanf("%d", &num); SPLT(RT, num, x, y); RT = MERGE(MERGE(x, APL(num)), y); } } void SOLVE() { int x, y, z; for (int i = 1; i <= n; i++) { SPLT(RT, a[i].cost - 1, x, z); if (!z) continue; ta[z]++; tc[z] -= a[i].cost; SPLT(z, GETMX(x) - 1, y, z); ADD(x, y); RT = MERGE(x, z); } PUSH(RT); for (int i = 1; i <= m; i++) printf("%d ", ans[i]); } int main() { srand(time(NULL)); READ(); SOLVE(); return 0; }
10
#include <bits/stdc++.h> using namespace std; long long ar[5][5], jawab; char s[5]; void kerja(int depth) { if (depth == 4) jawab = min(jawab, ar[depth][1]); else { vector<long long> v; long long bla = 0LL; for (int i = 1; i <= (4 - depth); i++) { for (int j = i + 1; j <= 4 - depth + 1; j++) { v.clear(); if (s[depth] == '+') bla = ar[depth][i] + ar[depth][j]; else bla = ar[depth][i] * ar[depth][j]; for (int k = 1; k < i; k++) v.push_back(ar[depth][k]); v.push_back(bla); for (int k = i + 1; k <= 4 - depth + 1; k++) { if (k == j) continue; v.push_back(ar[depth][k]); } for (int k = 0; k < v.size(); k++) ar[depth + 1][k + 1] = v[k]; kerja(depth + 1); } } } } int main() { scanf("%I64d %I64d %I64d %I64d\n", &ar[1][1], &ar[1][2], &ar[1][3], &ar[1][4]); scanf("%c %c %c", &s[1], &s[2], &s[3]); jawab = 1000000000002LL; kerja(1); printf("%I64d\n", jawab); return 0; }
4
#include <bits/stdc++.h> using namespace std; struct gadget { int a; int b; double t; }; bool cmp(gadget g1, gadget g2) { return g1.t < g2.t; } int main() { cin.sync_with_stdio(0); cin.tie(NULL); cout << fixed << setprecision(25); int n, p; cin >> n >> p; vector<gadget> gl(n); for (int i = 0; i < n; i++) { gadget g; cin >> g.a >> g.b; g.t = double(g.b) / g.a; gl[i] = g; } sort(gl.begin(), gl.end(), cmp); long long sa = 0, sb = 0; for (int i = 0; i < n - 1; i++) { sa += gl[i].a; sb += gl[i].b; if (0) { continue; } double t = double(sb) / (sa - p); if (t > 0 && t <= gl[i + 1].t) { cout << t << endl; return 0; } } sa += gl[n - 1].a; sb += gl[n - 1].b; if (sa <= p) cout << -1; else cout << double(sb) / (sa - p); return 0; }
5
#include <bits/stdc++.h> const int inf = 0x3f3f3f3f; using namespace std; template <typename T = int> T yh() { T ret = 0; bool f = 0; char c = getchar(); while (!isdigit(c)) { if (c == EOF) return -1; if (c == '-') f = 1; c = getchar(); } while (isdigit(c)) ret = (ret << 3) + (ret << 1) + (c ^ 48), c = getchar(); return f ? -ret : ret; } template <typename T> void yh(T& ret) { ret = 0; bool f = 0; char c = getchar(); while (!isdigit(c)) { if (c == EOF) return ret = -1, void(); if (c == '-') f = 1; c = getchar(); } while (isdigit(c)) ret = (ret << 3) + (ret << 1) + (c ^ 48), c = getchar(); ret = f ? -ret : ret; } const int maxn = 2005, mod = 1e9 + 7; map<int, int> cycles; vector<int> a; long long dp[2005][4010][2]; bool vis[maxn]; vector<int> adj[maxn]; int n, m; int stoploopsize = 0; long long solve(int pos, int diff, bool takeAll) { if (pos == (int)a.size()) { if (takeAll) return diff == max((int)0, stoploopsize - 1); else return diff < stoploopsize - 1; } long long& ans = dp[pos][diff][takeAll]; if (~ans) return ans; ans = 0; ans += solve(pos + 1, diff + a[pos], takeAll); ans += solve(pos + 1, abs(diff - a[pos]), takeAll); ans %= mod; if (takeAll == 0) ans += solve(pos + 1, diff, takeAll); return ans % mod; } long long calc(int siz, bool takeAll) { memset(dp, -1, sizeof(dp)); a.clear(); if (siz > 0) cycles[siz]--; for (auto p : cycles) { for (register int __ = (1); __ <= (p.second); __++) a.push_back(p.first); } if (siz > 0) cycles[siz]++; stoploopsize = siz; long long ans = 0; if (takeAll == 0) ans += solve(0, 0, 0); ans += solve(0, 0, 1); return ans % mod; } signed main() { n = yh(), m = yh(); for (register int i = (1); i <= (m); i++) { int x = yh(), y = yh(); adj[x].push_back(y); adj[y].push_back(x); } for (auto y : adj[1]) if (!vis[y]) { int yn = y, yo = 1; int sz = 0; if (adj[yn][0] == adj[yn][1]) { vis[yn] = 1; cycles[2]++; continue; } while (yn != 1) { vis[yn] = 1; sz++; for (auto ynn : adj[yn]) { if (ynn != yo) { yo = yn, yn = ynn; break; } } } cycles[sz + 1]++; } long long ans = 0; for (auto p : cycles) { ans = (ans + 2ll * p.second * calc(p.first, 0) % mod) % mod; } ans += calc(0, 1) % mod; cout << ans % mod; return 0; }
9
#include <bits/stdc++.h> using namespace std; const long long inf = 0x3f3f3f3f3f3f3f3fLL; const long long N = 3e5 + 10; const long long MOD = 1e9 + 7; int32_t main() { ios::sync_with_stdio(false); cin.tie(0); long long n, m; cin >> n >> m; for (long long i = 0; i < n / 2; i++) { for (long long j = 0; j < m; j++) { cout << i + 1 << ' ' << j + 1 << '\n'; cout << n - i - 1 + 1 << ' ' << m - j - 1 + 1 << '\n'; } } if (n & 1) { long long mid = n / 2; for (long long i = 0; i < m / 2; i++) { cout << mid + 1 << ' ' << i + 1 << '\n'; cout << mid + 1 << ' ' << m - i - 1 + 1 << '\n'; } if (m & 1) { cout << mid + 1 << ' ' << m / 2 + 1 << '\n'; } } return 0; }
5
#include <bits/stdc++.h> using namespace std; int n, m; void go(int &u, int t) { for (int i = t; i > 0; --i) { if (u < m) { u += i; } else { u -= i; } u += (u < 0) ? n : 0; u -= (u >= n) ? n : 0; } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int s; long long t; cin >> n >> m >> s >> t; go(--s, t % n); t /= n; vector<int> visited(n, -1); vector<int> cycle = {s}; visited[s] = 0; for (int i = 1; i <= t; ++i) { go(s, n); if (visited[s] != -1) { t -= i; t %= i - visited[s]; cout << cycle[visited[s] + t] + 1 << "\n"; exit(0); } visited[s] = i; cycle.push_back(s); } cout << s + 1 << "\n"; }
10
#include <bits/stdc++.h> using namespace std; int main() { map<int, vector<string> > flag; map<string, int> mp; int n; cin >> n; while (n--) { string name; int score; cin >> name >> score; mp[name] = mp[name] + score; if (mp[name] >= 0) { for (int i = 0; i <= mp[name]; i++) { flag[i].push_back(name); } } } int maax = -1; map<string, int>::iterator i; for (i = mp.begin(); i != mp.end(); ++i) { if (i->second > maax) { maax = i->second; } } vector<string> winner; for (i = mp.begin(); i != mp.end(); ++i) { if (i->second == maax) { winner.push_back(i->first); } } for (auto i = flag[maax].begin(); i != flag[maax].end(); i++) { if (mp[*i] == maax) { cout << *i << endl; break; } } return 0; }
3
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> ostream &operator<<(ostream &out, const pair<T1, T2> &item) { out << '(' << item.first << ", " << item.second << ')'; return out; } template <typename T> ostream &operator<<(ostream &out, const vector<T> &v) { for (const auto &item : v) out << item << ' '; return out; } int t, n, m, k; int V[3505], A[3505]; int main() { cin >> t; while (t--) { cin >> n >> m >> k; for (int i = 1; i <= n; i++) { cin >> V[i]; } k = min(k, m - 1); int rem = n - m + 1; for (int i = rem; i <= n; i++) { A[i] = max(V[i - rem + 1], V[i]); } int a = 1, b = n - k; int out = m - k - 1; multiset<int> S; for (int i = b; i >= b - out; i--) { S.insert(A[i]); } int ans = -1e9; for (; b <= n; a++, b++) { ans = max(ans, *(S.begin())); S.erase(S.find(A[b - out])); S.insert(A[b + 1]); } for (int i = rem; i <= n; i++) A[i] = 0; for (int i = 1; i <= n; i++) V[i] = 0; cout << ans << '\n'; } return 0; }
4
#include <bits/stdc++.h> using namespace std; int main() { long long int n; cin >> n; long long int arr[n]; for (long long int i = 0; i <= n - 1; i++) { cin >> arr[i]; } long long int g = 0; for (long long int i = 0; i <= n - 2; i++) { if (arr[i] < arr[i + 1]) { g = g + ((arr[i + 1] - arr[i]) * (n - arr[i + 1] + 1)); } else { g = g + (arr[i + 1] * (arr[i] - arr[i + 1])); } } g = g + (arr[0] * (n - arr[0] + 1)); cout << g << endl; return 0; }
6
#include <bits/stdc++.h> using namespace std; int a[105]; int c[105]; int b[105]; int dp[200015]; int main() { int n, k; cin >> n >> k; for (int i = 0; i < n; i++) { cin >> a[i]; } for (int i = 0; i < n; i++) { cin >> b[i]; b[i] *= k; c[i] = a[i] - b[i]; } dp[100000] = 1; for (int i = 0; i < n; i++) { if (c[i] < 0) { for (int j = 0; j < 200005; j++) if (dp[j - c[i]]) dp[j] = max(dp[j], dp[j - c[i]] + a[i]); } else { for (int j = 200005; j >= 0; j--) if (dp[j - c[i]]) dp[j] = max(dp[j], dp[j - c[i]] + a[i]); } } if (dp[100000] == 1) printf("-1\n"); else printf("%d\n", dp[100000] - 1); }
5
#include <bits/stdc++.h> using namespace std; char s[100009]; int main() { int l, i, c, m, n; cin >> s; l = strlen(s); for (i = 0, c = 0; i < l; i++) { if (s[i] == 'a') c++; } if (c == 0) { for (i = 0; i < l; i++) s[i] = s[i] - 1; } else { for (i = 0, m = 0, n = 0; i < l; i++) { if (s[i] != 'a') { m = 1; s[i] = s[i] - 1; n++; } else if (m == 1 && s[i] == 'a') break; } } if (n == 0) s[l - 1] = 'z'; cout << s << endl; return 0; }
2
#include <bits/stdc++.h> using namespace std; using pii = pair<long long, long long>; ostream& operator<<(ostream& os, const pii& seg) { return os << "[" << seg.first << ", " << seg.second << "]"; } istream& operator>>(istream& is, pii& p) { is >> p.first >> p.second; return is; } int main() { ios_base::sync_with_stdio(0); auto& in = cin; auto& out = cout; int n; in >> n; vector<string> promo(n); for (auto& p : promo) in >> p; int min_res = 6; for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { int d = 0; for (int k = 0; k < 6; ++k) d += promo[i][k] != promo[j][k]; min_res = min(min_res, (d - 1) >> 1); } } out << min_res << "\n"; return 0; }
3
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { if (!b) return a; return gcd(b, a % b); } int main() { int k; cin >> k; long long a; while (k--) { cin >> a; long long g = gcd(a + 1, a * 4); long long l = (a + 1) * a * 4 / g; cout << l / (a + 1) + 1 << ' '; } return 0; }
2
#include <bits/stdc++.h> using namespace std; long long int powr(long long int a, long long int n) { if (n == 0) return 1LL; if (n == 1) return a; if (n % 2 == 1) return (a * powr((a * a) % 1000000009, n / 2)) % 1000000009; else return powr((a * a) % 1000000009, n / 2); } char s[100005]; int main() { long long int n, a, b, k, tmp; scanf("%lld %lld %lld", &n, &a, &b); scanf("%lld", &k); scanf("%s", s); long long int ans = 0, m = 1; for (long long int i = 0; i < k; i = i + 1) { if (s[i] == '+') ans = (ans + ((powr(a, n - i) * m) % 1000000009)) % 1000000009; else ans = (ans - ((powr(a, n - i) * m) % 1000000009)) % 1000000009; m = (m * b) % 1000000009; } tmp = (b * powr(a, 1000000009 - 2)) % 1000000009; tmp = powr(tmp, k); if (tmp < 0) tmp += 1000000009; if (tmp == 1) { ans = (ans * ((n + 1) / k)) % 1000000009; if (ans < 0) ans += 1000000009; printf("%lld\n", ans); return 0; } ans = (ans * (powr(tmp, (n + 1) / k) - 1)) % 1000000009; ans = (ans * powr(tmp - 1, 1000000009 - 2)) % 1000000009; if (ans < 0) ans += 1000000009; printf("%lld\n", ans); return 0; ans = (ans * powr(a, k)) % 1000000009; ans = (ans * ((powr(b, n + 1) - powr(a, n + 1)) % 1000000009)) % 1000000009; tmp = (powr(a, n + 1) * ((powr(b, k) - powr(a, k) + 1000000009) % 1000000009)) % 1000000009; if (tmp < 0) tmp += 1000000009; tmp = powr(tmp, 1000000009 - 2); ans = (ans * tmp) % 1000000009; if (ans < 0) ans += 1000000009; printf("%lld\n", ans); return 0; }
5
#include <bits/stdc++.h> using namespace std; int r1, r2, c1, c2, d1, d2; int main() { scanf("%d%d%d%d%d%d", &r1, &r2, &c1, &c2, &d1, &d2); int tag = 0; for (int i = 1; i <= 9; ++i) { for (int j = 1; j <= 9; ++j) { for (int k = 1; k <= 9; ++k) { for (int l = 1; l <= 9; ++l) { if (i == j || i == k) continue; if (i == l || j == k) continue; if (j == l || k == l) continue; if (i + j == r1 && i + k == c1 && k + l == r2 && j + l == c2 && i + l == d1 && j + k == d2) { printf("%d %d\n", i, j); printf("%d %d\n", k, l); tag = 1; break; } } if (tag) break; } if (tag) break; } if (tag) break; } if (!tag) printf("-1\n"); return 0; }
1
#include <bits/stdc++.h> using namespace std; using ll = long long; using vi = vector<int>; using vvi = vector<vi>; using vll = vector<ll>; using vvll = vector<vll>; using vb = vector<bool>; using vd = vector<double>; using vs = vector<string>; using pii = pair<int, int>; using pll = pair<ll, ll>; using pdd = pair<double, double>; using vpii = vector<pii>; using vvpii = vector<vpii>; using vpll = vector<pll>; using vvpll = vector<vpll>; using vpdd = vector<pdd>; using vvpdd = vector<vpdd>; template <typename T> void ckmin(T& a, const T& b) { a = min(a, b); } template <typename T> void ckmax(T& a, const T& b) { a = max(a, b); } mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); namespace __input { template <class T1, class T2> void re(pair<T1, T2>& p); template <class T> void re(vector<T>& a); template <class T, size_t SZ> void re(array<T, SZ>& a); template <class T> void re(T& x) { cin >> x; } void re(double& x) { string t; re(t); x = stod(t); } template <class Arg, class... Args> void re(Arg& first, Args&... rest) { re(first); re(rest...); } template <class T1, class T2> void re(pair<T1, T2>& p) { re(p.first, p.second); } template <class T> void re(vector<T>& a) { for (int i = 0; i < (int((a).size())); i++) re(a[i]); } template <class T, size_t SZ> void re(array<T, SZ>& a) { for (int i = 0; i < (SZ); i++) re(a[i]); } } // namespace __input using namespace __input; namespace __output { template <class T1, class T2> void pr(const pair<T1, T2>& x); template <class T, size_t SZ> void pr(const array<T, SZ>& x); template <class T> void pr(const vector<T>& x); template <class T> void pr(const deque<T>& x); template <class T> void pr(const set<T>& x); template <class T1, class T2> void pr(const map<T1, T2>& x); template <class T> void pr(const T& x) { cout << x; } template <class Arg, class... Args> void pr(const Arg& first, const Args&... rest) { pr(first); pr(rest...); } template <class T1, class T2> void pr(const pair<T1, T2>& x) { pr("{", x.first, ", ", x.second, "}"); } template <class T, bool pretty = true> void prContain(const T& x) { if (pretty) pr("{"); bool fst = 1; for (const auto& a : x) pr(!fst ? pretty ? ", " : " " : "", a), fst = 0; if (pretty) pr("}"); } template <class T> void pc(const T& x) { prContain<T, false>(x); pr("\n"); } template <class T, size_t SZ> void pr(const array<T, SZ>& x) { prContain(x); } template <class T> void pr(const vector<T>& x) { prContain(x); } template <class T> void pr(const deque<T>& x) { prContain(x); } template <class T> void pr(const set<T>& x) { prContain(x); } template <class T1, class T2> void pr(const map<T1, T2>& x) { prContain(x); } void ps() { pr("\n"); } template <class Arg> void ps(const Arg& first) { pr(first); ps(); } template <class Arg, class... Args> void ps(const Arg& first, const Args&... rest) { pr(first, " "); ps(rest...); } } // namespace __output using namespace __output; namespace __algorithm { template <typename T> void dedup(vector<T>& v) { sort((v).begin(), (v).end()); v.erase(unique((v).begin(), (v).end()), v.end()); } template <typename T> typename vector<T>::iterator find(vector<T>& v, const T& x) { auto it = lower_bound((v).begin(), (v).end(), x); return it != v.end() && *it == x ? it : v.end(); } template <typename T> size_t index(vector<T>& v, const T& x) { auto it = find(v, x); assert(it != v.end() && *it == x); return it - v.begin(); } template <typename C, typename T, typename OP> vector<T> prefixes(const C& v, T id, OP op) { vector<T> r(int((v).size()) + 1, id); for (int i = 0; i < (int((v).size())); i++) r[i + 1] = op(r[i], v[i]); return r; } template <typename C, typename T, typename OP> vector<T> suffixes(const C& v, T id, OP op) { vector<T> r(int((v).size()) + 1, id); for (int i = (int((v).size())) - 1; i >= 0; i--) r[i] = op(v[i], r[i + 1]); return r; } } // namespace __algorithm using namespace __algorithm; struct monostate { friend istream& operator>>(istream& is, const __attribute__((unused)) monostate& ms) { return is; } friend ostream& operator<<(ostream& os, const __attribute__((unused)) monostate& ms) { return os; } } ms; template <typename W = monostate> struct wedge { int u, v, i; W w; wedge<W>(int _u = -1, int _v = -1, int _i = -1) : u(_u), v(_v), i(_i) {} int operator[](int loc) const { return u ^ v ^ loc; } friend void re(wedge& e) { re(e.u, e.v, e.w); --e.u, --e.v; } friend void pr(const wedge& e) { pr(e.u, "<-", e.w, "->", e.v); } }; namespace __io { void setIn(string second) { freopen(second.c_str(), "r", stdin); } void setOut(string second) { freopen(second.c_str(), "w", stdout); } void setIO(string second = "") { ios_base::sync_with_stdio(0); cin.tie(0); cout.precision(15); if (int((second).size())) { setIn(second + ".in"), setOut(second + ".out"); } } } // namespace __io using namespace __io; void solve() { int N, M; re(N, M); vvi a(M, vi(N)); for (int i = 0; i < (N); i++) for (int j = 0; j < (M); j++) re(a[j][i]); ckmin(M, N); nth_element(a.begin(), a.begin() + M, a.end(), [](vi& a, vi& b) { return *max_element((a).begin(), (a).end()) > *max_element((b).begin(), (b).end()); }); a.resize(M); vb lead(1 << N, true); for (int m = 0; m < (int((lead).size())); m++) { int t = m; for (int r = (1); r < (N); r++) { t = (t >> 1) + ((t & 1) << (N - 1)); if (t > m) lead[m] = false; } } vi leads; for (int i = 0; i < (int((lead).size())); i++) if (lead[i]) leads.push_back(i); vi dp(1 << N); for (auto& col : a) { for (int m = 0; m < (int((dp).size())); m++) for (int i = 0; i < (N); i++) if (!(m & (1 << i))) ckmax(dp[m ^ (1 << i)], dp[m] + col[i]); for (auto& m : leads) { int t = m; for (int r = (1); r < (N); r++) { t = (t >> 1) + ((t & 1) << (N - 1)); ckmax(dp[m], dp[t]); } t = m; for (int r = (1); r < (N); r++) { t = (t >> 1) + ((t & 1) << (N - 1)); ckmax(dp[t], dp[m]); } } } ps(*max_element((dp).begin(), (dp).end())); } int main() { setIO(); int T; re(T); for (int t = 0; t < (T); t++) { solve(); } return 0; }
8
#include <bits/stdc++.h> #pragma GCC target("avx2") #pragma GCC optimization("O3") #pragma GCC optimization("unroll-loops") using namespace std; template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p) { os << "{" << p.first << "," << p.second << "}"; return os; } const int N = 3e5 + 5; const int oo = 1e9 + 7; int tot[2]; int ache[2][2]; set<int> st[2]; long long sum[2]; map<int, int> type; inline void add_single(int i, int d, int typ) { sum[i] += d; ache[i][typ]++; st[i].insert(d); } inline void rem_single(int i, int d, int typ) { sum[i] -= d; ache[i][typ]--; st[i].erase(d); } inline void swap_(int l, int r) { int lt = type[l]; int rt = type[r]; rem_single(0, l, lt); rem_single(1, r, rt); add_single(0, r, rt); add_single(1, l, lt); } inline void equalize() { while (tot[1] > st[1].size()) { assert(!st[0].empty()); int l = *st[0].rbegin(); int lt = type[l]; rem_single(0, l, lt); add_single(1, l, lt); } while (tot[1] < st[1].size()) { assert(!st[1].empty()); int r = *st[1].begin(); int rt = type[r]; rem_single(1, r, rt); add_single(0, r, rt); } int l, r; while (!st[0].empty() and !st[1].empty() and (l = *st[0].rbegin()) > (r = *st[1].begin())) { swap_(l, r); } assert(tot[1] == st[1].size()); } inline void add(int d, int typ) { tot[typ]++; type[d] = typ; ache[0][typ]++; st[0].insert(d); sum[0] += d; equalize(); } inline void rem(int d, int typ) { tot[typ]--; type.erase(d); for (int i = 0; i < 2; i++) if (st[i].find(d) != st[i].end()) { st[i].erase(d); ache[i][typ]--; sum[i] -= d; } equalize(); } void pr() { cerr << "line " << 90 << " : " << "tot[0]" << " --> " << (tot[0]) << endl; cerr << "line " << 91 << " : " << "tot[1]" << " --> " << (tot[1]) << endl; for (int i = 0; i < 2; i++) { cerr << "line " << 93 << " : " << "i" << " --> " << (i) << endl; cerr << "line " << 94 << " : " << "sum[i]" << " --> " << (sum[i]) << endl; cerr << "line " << 95 << " : " << "ache[i][0]" << " --> " << (ache[i][0]) << endl; cerr << "line " << 96 << " : " << "ache[i][1]" << " --> " << (ache[i][1]) << endl; cerr << "line " << 97 << " : " << "&st[i]" << " --> " << (&st[i]) << endl; for (int j : st[i]) cout << j << " "; cout << endl; cout << endl; } cout << endl; } int32_t main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; while (n--) { int tp, d; cin >> tp >> d; if (d > 0) { add(d, tp); } else rem(-d, tp); long long ans = sum[0] + sum[1] * 2; if (tot[1] == ache[1][1]) { if (tot[1]) { ans -= *st[1].begin(); if (!st[0].empty()) ans += *st[0].rbegin(); } } cout << ans << "\n"; } }
7
#include <bits/stdc++.h> using namespace std; int dx[5] = {-1, 0, 1, 0}; int dy[5] = {0, -1, 0, 1}; int dp[1001][1001][41]; bool colour[45]; vector<pair<int, int>> v1[45]; queue<pair<int, int>> q1; int n, m, K; bool check(int r, int c) { if (r <= 0 || r > n || c <= 0 || c > m) { return false; } return true; } void bfs(int col) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { if (dp[i][j][0] == col) { q1.push(make_pair(i, j)); } } } for (int i = 1; i <= K; i++) { colour[i] = false; } while (!q1.empty()) { auto hold = q1.front(); q1.pop(); int x = hold.first; int y = hold.second; if (!colour[dp[x][y][0]]) { colour[dp[x][y][0]] = true; for (auto i : v1[dp[x][y][0]]) { if (dp[i.first][i.second][col] > dp[x][y][col] + 1) { dp[i.first][i.second][col] = dp[x][y][col] + 1; q1.push(make_pair(i.first, i.second)); } } } for (int i = 0; i < 4; i++) { int nextx = x + dx[i]; int nexty = y + dy[i]; if (check(nextx, nexty) && dp[nextx][nexty][col] > dp[x][y][col] + 1) { dp[nextx][nexty][col] = dp[x][y][col] + 1; q1.push(make_pair(nextx, nexty)); } } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m >> K; for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { for (int k = 1; k <= K; k++) { dp[i][j][k] = 1e9; } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= m; j++) { cin >> dp[i][j][0]; v1[dp[i][j][0]].push_back(make_pair(i, j)); dp[i][j][dp[i][j][0]] = 0; } } for (int i = 1; i <= K; i++) { bfs(i); } int q; cin >> q; while (q--) { int r1, c1, r2, c2; cin >> r1 >> c1 >> r2 >> c2; int res = abs(r1 - r2) + abs(c1 - c2); for (int i = 1; i <= K; i++) { res = min(res, dp[r1][c1][i] + 1 + dp[r2][c2][i]); } cout << res << '\n'; } }
9
#include <bits/stdc++.h> using namespace std; vector<int> rx[100005]; vector<int> ry[100005]; typedef struct { int xi; int yi; int xj; int yj; int in; } query; query q[200005]; int ans[200005]; bool compx(query a, query b) { if (a.xi == b.xi) return a.yi < b.yi; else return a.xi < b.xi; } bool compy(query a, query b) { if (a.yi == b.yi) return a.xi < b.xi; else return a.yi < b.yi; } typedef struct { int mn; int mx; int min; } st; int deg[200005]; st s[4 * 200005]; int lx, ly; void buildy(int lo, int hi, int at) { if (lo == hi) { s[at].mx = s[at].mn = rx[lo][0]; s[at].min = lo; return; } int mid = (lo + hi) / 2; int l = 2 * at; int r = 2 * at + 1; buildy(lo, mid, l); buildy(mid + 1, hi, r); s[at].mx = max(s[l].mx, s[r].mx); s[at].mn = min(s[l].mn, s[r].mn); if (s[l].mn <= s[r].mn) s[at].min = s[l].min; else s[at].min = s[r].min; } void buildx(int lo, int hi, int at) { if (lo == hi) { s[at].mx = s[at].mn = ry[lo][0]; s[at].min = lo; return; } int mid = (lo + hi) / 2; int l = 2 * at; int r = 2 * at + 1; buildx(lo, mid, l); buildx(mid + 1, hi, r); s[at].mx = max(s[l].mx, s[r].mx); s[at].mn = min(s[l].mn, s[r].mn); if (s[l].mn <= s[r].mn) s[at].min = s[l].min; else s[at].min = s[r].min; } st que(int lo, int hi, int at, int from, int to) { if (lo == from && hi == to) return s[at]; int mid = (lo + hi) / 2; st i, j; if (to <= mid) return que(lo, mid, 2 * at, from, to); else { if (from > mid) return que(mid + 1, hi, 2 * at + 1, from, to); else { i = que(lo, mid, 2 * at, from, mid); j = que(mid + 1, hi, 2 * at + 1, mid + 1, to); } } if (i.mn <= j.mn) return i; return j; } st qmax(int lo, int hi, int at, int from, int to) { if (lo == from && hi == to) return s[at]; int mid = (lo + hi) / 2; st i, j; if (to <= mid) return qmax(lo, mid, 2 * at, from, to); else { if (from > mid) return qmax(mid + 1, hi, 2 * at + 1, from, to); else { i = qmax(lo, mid, 2 * at, from, mid); j = qmax(mid + 1, hi, 2 * at + 1, mid + 1, to); } } if (i.mx >= j.mx) return i; return j; } void update(int lo, int hi, int at, int val, int in) { if (lo == hi) { s[at].mn = val; s[at].mx = val; return; } int mid = (lo + hi) / 2; if (in <= mid) update(lo, mid, 2 * at, val, in); else update(mid + 1, hi, 2 * at + 1, val, in); int l = 2 * at; int r = 2 * at + 1; s[at].mx = max(s[l].mx, s[r].mx); s[at].mn = min(s[l].mn, s[r].mn); if (s[l].mn <= s[r].mn) s[at].min = s[l].min; else s[at].min = s[r].min; } void modify(int z) { int a, b, c, d, e, x, y; st i; while (1) { i = que(1, lx, 1, 1, lx); if (i.mn >= z) break; e = i.min; for (a = deg[e]; a < rx[e].size(); a++) { if (rx[e][a] >= z) { deg[e] = a; update(1, lx, 1, rx[e][a], e); break; } } } } void modifx(int z) { int a, b, c, d, e, x, y; st i; while (1) { i = que(1, ly, 1, 1, ly); if (i.mn >= z) break; e = i.min; for (a = deg[e]; a < ry[e].size(); a++) { if (ry[e][a] >= z) { deg[e] = a; update(1, ly, 1, ry[e][a], e); break; } } } } int main() { int a, b, c, d, e, x, y, z, n, k, qu, m; scanf("%d %d %d %d", &lx, &ly, &k, &qu); for (a = 0; a < k; a++) { scanf("%d %d", &x, &y); rx[x].push_back(y); ry[y].push_back(x); } for (a = 0; a < qu; a++) { scanf("%d %d %d %d", &q[a].xi, &q[a].yi, &q[a].xj, &q[a].yj); q[a].in = a + 1; } for (a = 1; a <= lx; a++) { rx[a].push_back(ly + 2); sort(rx[a].begin(), rx[a].end()); deg[a] = 0; } sort(q, q + qu, compy); buildy(1, lx, 1); z = -1; st u; for (a = 0; a < qu; a++) { if (q[a].yi != z) { modify(q[a].yi); z = q[a].yi; } u = qmax(1, lx, 1, q[a].xi, q[a].xj); if (u.mx > q[a].yj) { } else { ans[q[a].in]++; } } for (a = 1; a <= ly; a++) { ry[a].push_back(lx + 2); sort(ry[a].begin(), ry[a].end()); deg[a] = 0; } buildx(1, ly, 1); sort(q, q + qu, compx); z = -1; for (a = 0; a < qu; a++) { if (q[a].xi != z) { modifx(q[a].xi); z = q[a].xi; } u = qmax(1, ly, 1, q[a].yi, q[a].yj); if (u.mx > q[a].xj) { } else { ans[q[a].in]++; } } for (a = 1; a <= qu; a++) if (ans[a]) printf("YES\n"); else printf("NO\n"); return 0; }
8
#include <bits/stdc++.h> namespace patch { template <typename T> std::string to_string(const T& n) { std::ostringstream stm; stm << n; return stm.str(); } } // namespace patch using namespace std; long long int col[1005], row[1005], tot; int main() { ios_base::sync_with_stdio(0); cin.tie(0); ; long long int N, M; char arr[1005][1005]; cin >> N >> M; for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { cin >> arr[i][j]; if (arr[i][j] == '*') { tot++; col[i]++; row[j]++; } } } for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { if (col[i] + row[j] - (arr[i][j] == '*') == tot) { cout << "YES" << '\n' << i + 1 << " " << j + 1; return 0; } } } cout << "NO"; return 0; }
3
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); const int Maxn = 300000; int revv(int x, int bits) { int ret = 0; for (int i = 0; i < bits; i++) { ret <<= 1; ret |= x & 1; x >>= 1; } return ret; } void FFT(double *a, double *b, int n, bool rev) { int bits = 0; while (1 << bits < n) ++bits; for (int i = 0; i < n; i++) { int j = revv(i, bits); if (i < j) { double t = a[i]; a[i] = a[j]; a[j] = t; t = b[i]; b[i] = b[j]; b[j] = t; } } for (int len = 2; len <= n; len <<= 1) { int half = len >> 1; double wmx = cos(2 * pi / len); double wmy = sin(2 * pi / len); if (rev) wmy = -wmy; for (int i = 0; i < n; i += len) { double wx = 1; double wy = 0; for (int j = 0; j < half; j++) { double cx = a[i + j]; double cy = b[i + j]; double dx = a[i + j + half]; double dy = b[i + j + half]; double ex = dx * wx - dy * wy; double ey = dx * wy + dy * wx; a[i + j] = cx + ex; b[i + j] = cy + ey; a[i + j + half] = cx - ex; b[i + j + half] = cy - ey; double wnx = wx * wmx - wy * wmy; double wny = wx * wmy + wy * wmx; wx = wnx; wy = wny; } } } if (rev) { for (int i = 0; i < n; i++) { a[i] /= n; b[i] /= n; } } } int Getlen(int x) { int ans = 1; while (x > ans) ans <<= 1; return ans; } string s1, s2; int T, N, M; int A[Maxn], B[Maxn], C[Maxn]; int f[70][200005]; int mk = 0; int lim = 3005; int a[200010], b[200010]; double tAx[Maxn], tAy[Maxn], tBx[Maxn], tBy[Maxn], tCx[Maxn], tCy[Maxn]; inline void read(int &x) { char c; for (c = getchar(); c < '0' || c > '9'; c = getchar()) ; for (x = 0; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - '0'; } int main(int argc, char const *argv[]) { cin >> s1 >> s2; N = s1.size(), M = s2.size(); cin >> T; reverse(s2.begin(), s2.end()); for (int i = 0; i < N; i++) A[i] = s1[i] - '0'; for (int i = 0; i < M; i++) b[i] = s2[i] - '0'; int nC = N + lim - 1, m = Getlen(nC); for (int i = 0; i < m; i++) tAx[i] = 0, tAy[i] = 0; for (int i = 0; i < N; i++) tAx[i] = A[i], tAy[i] = !A[i]; FFT(tAx, tAy, m, 0); for (int i = 0; i < M / lim; i++) { for (int j = i * lim, k = 0; k < lim; k++) B[k] = b[j + k]; for (int j = 0; j < m; j++) tBx[j] = 0, tBy[j] = 0; for (int j = 0; j < lim; j++) tBx[j] = B[j], tBy[j] = !B[j]; FFT(tBx, tBy, m, 0); for (int j = 0; j < m; j++) { tCx[j] = tAx[j] * tBx[j] - tAy[j] * tBy[j]; tCy[j] = tAx[j] * tBy[j] + tBx[j] * tAy[j]; } FFT(tCx, tCy, m, 1); for (int j = 0; j <= N - lim; j++) f[i][j] = tCy[j + lim - 1] + 0.5; } int cs = 0; while (T--) { int x, y, l, r, len; read(x); read(l); read(len); y = x + len - 1; r = M - l - 1; l = r - len + 1; int ans = 0; for (; l % lim && l <= r; l++, y--) ans += A[y] != b[l]; for (int k = l / lim; l + lim <= r; l += lim, y -= lim, k++) ans += f[k][y - lim + 1]; for (; l <= r; l++, y--) ans += A[y] != b[l]; printf("%d\n", ans); } return 0; }
10
#include <bits/stdc++.h> using namespace std; template <typename elemType> inline void Read(elemType &T) { elemType X = 0, w = 0; char ch = 0; while (!isdigit(ch)) { w |= ch == '-'; ch = getchar(); } while (isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar(); T = (w ? -X : X); } int a[505], b[505]; long long Sum[505], dp[505][505]; bool exist[505][505]; int N, K; int main() { Read(N); Read(K); exist[0][0] = true; register int i, j, temp, p, l, r, s; long long sum; for (i = 1; i <= N; ++i) { Read(a[i]); Read(b[i]); Sum[i] = Sum[i - 1] + a[i] + b[i]; for (j = 0; j < K; ++j) { sum = Sum[i - 1] - dp[i - 1][j] * (long long)K; if (!exist[i - 1][j]) continue; temp = (j + a[i]) % K; dp[i][temp] = dp[i - 1][j] + (j + a[i]) / K + (sum - (long long)j + (long long)b[i]) / (long long)K; exist[i][temp] = true; l = max(0, K - b[i]), r = min(a[i], K); for (s = l; s <= r; ++s) { p = (j - s + a[i]) % K; dp[i][p] = max(dp[i][p], dp[i - 1][j] + 1LL + (j - s + a[i]) / K + (sum - j - K + s + b[i]) / K); exist[i][p] = true; } } } long long Ans = 0; for (i = 0; i < K; ++i) Ans = max(Ans, dp[N][i]); printf("%I64d\n", Ans); return 0; }
8
#include <bits/stdc++.h> #pragma GCC optimize(2) #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-fwhole-program") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-fstrict-overflow") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-skip-blocks") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-fhoist-adjacent-loads") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("-funsafe-loop-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") using namespace std; long long t, n, k, len[1005]; long long belong[1005]; string s; long long check(long long l, long long r) { cout << "? " << r - l + 1; for (long long i = l; i <= r; i++) cout << " " << i; cout << endl; long long x; cin >> x; return x; } long long uncheck(long long id) { cout << "? " << n - len[belong[id]]; for (long long i = 1; i <= n; i++) if (belong[i] != belong[id]) cout << " " << i; cout << endl; long long x; cin >> x; return x; } signed main() { cin >> t; while (t--) { memset(len, 0, sizeof(len)); memset(belong, 0, sizeof(belong)); cin >> n >> k; len[0] = 1; for (long long i = 1, x; i <= k; i++) { cin >> len[i]; for (long long j = 1, x; j <= len[i]; j++) cin >> x, belong[x] = i; } long long l = 1, r = n, maxx = check(l, r); while (l < r) { long long mid = l + r >> 1; if (check(l, mid) == maxx) r = mid; else l = mid + 1; } long long lmax = uncheck(l); cout << "!"; for (long long i = 1; i <= k; i++) cout << " " << ((i == belong[l]) ? lmax : maxx); cout << endl; cin >> s; } return 0; }
8
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f, N = 100000; struct Segment_tree1 { int T[400010]; void Build(int now, int l, int r) { T[now] = INF; if (l == r) return; int mid = l + r >> 1; Build(now << 1, l, mid), Build(now << 1 | 1, mid + 1, r); } void Update(int now, int l, int r, int L, int R, int x) { if (l == L && r == R) { T[now] = min(T[now], x); return; } int mid = l + r >> 1; if (R <= mid) Update(now << 1, l, mid, L, R, x); else if (L > mid) Update(now << 1 | 1, mid + 1, r, L, R, x); else Update(now << 1, l, mid, L, mid, x), Update(now << 1 | 1, mid + 1, r, mid + 1, R, x); } int Query(int now, int l, int r, int pos) { if (l == r) return T[now]; int mid = l + r >> 1; if (pos <= mid) return min(T[now], Query(now << 1, l, mid, pos)); return min(T[now], Query(now << 1 | 1, mid + 1, r, pos)); } } R[2]; struct Segment_tree2 { int mx1[400010], cnt[400010], mx2[400010]; long long sum[400010]; void pushup(int now) { mx1[now] = max(mx1[now << 1], mx1[now << 1 | 1]); cnt[now] = (mx1[now] == mx1[now << 1] ? cnt[now << 1] : 0) + (mx1[now] == mx1[now << 1 | 1] ? cnt[now << 1 | 1] : 0); mx2[now] = max( mx1[now] == mx1[now << 1] ? mx2[now << 1] : mx1[now << 1], mx1[now] == mx1[now << 1 | 1] ? mx2[now << 1 | 1] : mx1[now << 1 | 1]); sum[now] = sum[now << 1] + sum[now << 1 | 1]; } void Build(int now, int l, int r) { if (l == r) { mx1[now] = 0, cnt[now] = 1, mx2[now] = -1, sum[now] = 0; return; } int mid = l + r >> 1; Build(now << 1, l, mid), Build(now << 1 | 1, mid + 1, r); pushup(now); } void pushdown(int now) { if (mx1[now << 1] > mx1[now]) { sum[now << 1] -= 1ll * (mx1[now << 1] - mx1[now]) * cnt[now << 1]; mx1[now << 1] = mx1[now]; } if (mx1[now << 1 | 1] > mx1[now]) { sum[now << 1 | 1] -= 1ll * (mx1[now << 1 | 1] - mx1[now]) * cnt[now << 1 | 1]; mx1[now << 1 | 1] = mx1[now]; } } void Update(int now, int l, int r, int L, int R, int x) { if (l == L && r == R) { if (x >= mx1[now]) return; if (x > mx2[now]) { sum[now] -= 1ll * (mx1[now] - x) * cnt[now]; mx1[now] = x; return; } pushdown(now); int mid = l + r >> 1; Update(now << 1, l, mid, l, mid, x), Update(now << 1 | 1, mid + 1, r, mid + 1, r, x); pushup(now); return; } pushdown(now); int mid = l + r >> 1; if (R <= mid) Update(now << 1, l, mid, L, R, x); else if (L > mid) Update(now << 1 | 1, mid + 1, r, L, R, x); else Update(now << 1, l, mid, L, mid, x), Update(now << 1 | 1, mid + 1, r, mid + 1, R, x); pushup(now); } void Modify(int now, int l, int r, int pos, int x) { if (l == r) { mx1[now] = x, cnt[now] = 1, mx2[now] = -1, sum[now] = x; return; } pushdown(now); int mid = l + r >> 1; if (pos <= mid) Modify(now << 1, l, mid, pos, x); else Modify(now << 1 | 1, mid + 1, r, pos, x); pushup(now); } long long Query(int now, int l, int r, int L, int R) { if (l == L && r == R) return sum[now]; pushdown(now); int mid = l + r >> 1; if (R <= mid) return Query(now << 1, l, mid, L, R); if (L > mid) return Query(now << 1 | 1, mid + 1, r, L, R); return Query(now << 1, l, mid, L, mid) + Query(now << 1 | 1, mid + 1, r, mid + 1, R); } } seg[2]; set<int> S[4]; int main() { R[0].Build(1, 1, N), R[1].Build(1, 1, N), seg[0].Build(1, 1, N), seg[1].Build(1, 1, N); for (int i = 1; i <= N; i++) S[3].insert(i); int q; scanf("%d", &q); while (q--) { int op, l, r, x; scanf("%d%d%d", &op, &l, &r), r--; if (op == 2) printf("%lld\n", seg[0].Query(1, 1, N, l, r) + seg[1].Query(1, 1, N, l, r)); else { scanf("%d", &x); int d = 0; if (x < 0) x = -x, d = 1; seg[d].Update(1, 1, N, l, r, x), R[d].Update(1, 1, N, l, r, x); for (int i = 0; i < 4; i++) { if (i >> d & 1) { set<int>::iterator it = S[i].lower_bound(l); while (it != S[i].end() && *it <= r) { S[i ^ 1 << d].insert(*it); if ((i ^ 1 << d) == 0) { seg[0].Modify(1, 1, N, *it, R[0].Query(1, 1, N, *it)); seg[1].Modify(1, 1, N, *it, R[1].Query(1, 1, N, *it)); } it = S[i].erase(it); } } } } } return 0; }
11
#include <bits/stdc++.h> using namespace std; const int N = 1000000; int cnt[N + 1]; int check[N + 1]; set<pair<int, int> > s; int main() { int n, A; scanf("%d %d", &n, &A); for (int i = 1; i <= N; i++) { cnt[i] = 0; s.insert({cnt[i], i}); } for (int i = 0; i < n; i++) { int foo; scanf("%d", &foo); if (!check[foo]) { s.erase(s.find({cnt[foo], foo})); s.insert({++cnt[foo], foo}); } while ((!s.empty()) && s.begin()->first < cnt[A]) { check[s.begin()->second] = 1; s.erase(s.begin()); } } for (auto x : s) { if (x.second != A) { cout << x.second << endl; return 0; } } puts("-1"); return 0; }
4
#include <bits/stdc++.h> using namespace std; int a[1000001], b[1000001]; bitset<2010> dp[2]; int main() { int n, k; scanf("%d%d", &n, &k); int i, j; for (i = 1; i <= k; i++) { scanf("%d", &a[i]); a[i] -= n; } sort(a + 1, a + 1 + k); int tot = 1; b[1] = a[1]; for (i = 2; i <= k; i++) { if (a[i] != a[i - 1]) { tot++; b[tot] = a[i]; } } for (i = 1; i <= tot; i++) a[i] = b[i]; dp[0][1000] = 1; int p = 1, q = 0; for (i = 1; i <= 1000; i++) { for (j = 1; j <= tot; j++) { if (a[j] < 0) dp[p] |= (dp[q] >> (-a[j])); else dp[p] |= (dp[q] << (a[j])); } if (dp[p][1000] != 0) { printf("%d\n", i); return 0; } dp[q].reset(); p = 1 - p; q = 1 - q; } printf("-1\n"); return 0; }
7
#include <bits/stdc++.h> int main() { uint64_t N; scanf("%I64u", &N); int digit_count[10] = {0}; uint64_t M = N; int dlen = 0; std::vector<int> digits; while (M > 0) { dlen++; digit_count[M % 10]++; digits.push_back(M % 10); M /= 10; } int steps_method[4] = {INT_MAX, INT_MAX, INT_MAX, INT_MAX}; if (digit_count[0] >= 2) { auto first_zero = std::find(digits.begin(), digits.end(), 0); auto second_zero = std::find(first_zero + 1, digits.end(), 0); steps_method[0] = (first_zero - digits.begin()) + (second_zero - digits.begin()) - 1; } if (digit_count[0] >= 1 && digit_count[5] >= 1) { auto first_zero = std::find(digits.begin(), digits.end(), 0); auto second_five = std::find(digits.begin(), digits.end(), 5); int move1 = first_zero - digits.begin(); int move2 = second_five - (digits.begin() + 1); if (move2 < move1) move2++; steps_method[1] = move1 + move2; } if (digit_count[2] >= 1 && digit_count[5] >= 1) { auto first_five = std::find(digits.begin(), digits.end(), 5); auto second_two = std::find(digits.begin(), digits.end(), 2); int move1 = first_five - digits.begin(); int move2 = second_two - (digits.begin() + 1); if (move2 < move1) move2++; steps_method[2] = move1 + move2; if ((first_five == digits.end() - 1 || second_two == digits.end() - 1) && *(digits.end() - 2) == 0) { if (dlen == 3) steps_method[2] = INT_MAX; else { int add_swaps = 1; while (*(digits.end() - 2 - add_swaps) == 0) add_swaps++; steps_method[2] += add_swaps; } } } if (digit_count[7] >= 1 && digit_count[5] >= 1) { auto first_five = std::find(digits.begin(), digits.end(), 5); auto second_seven = std::find(digits.begin(), digits.end(), 7); int move1 = first_five - digits.begin(); int move2 = second_seven - (digits.begin() + 1); if (move2 < move1) move2++; steps_method[3] = move1 + move2; if ((first_five == digits.end() - 1 || second_seven == digits.end() - 1) && *(digits.end() - 2) == 0) { if (dlen == 3) steps_method[3] = INT_MAX; else { int add_swaps = 1; while (*(digits.end() - 2 - add_swaps) == 0) add_swaps++; steps_method[3] += add_swaps; } } } int min_swaps = *std::min_element(steps_method, steps_method + 4); if (min_swaps == INT_MAX) { printf("-1"); } else { printf("%d", min_swaps); } return 0; }
6
#include <bits/stdc++.h> using namespace std; const int oo = 0x3f3f3f3f; template <typename T> bool chkmin(T &a, T b) { return b < a ? a = b, true : false; } template <typename T> bool chkmax(T &a, T b) { return b > a ? a = b, true : false; } template <class T> void read(T &first) { char c; int flag = 1; while ((c = getchar()) < '0' || c > '9') if (c == '-') flag = -1; first = c - '0'; while ((c = getchar()) >= '0' && c <= '9') first = first * 10 + c - '0'; first *= flag; } template <class T> void write(T first) { if (first < 0) putchar('-'), first = -first; static char s[20]; int top = 0; while (first) s[++top] = first % 10 + '0', first /= 10; if (top == 0) putchar('0'); while (top) putchar(s[top--]); } const int MAXN = 1e6 + 100; const int mod = 1e9 + 7; long long pwr(long long first, long long k, long long p) { long long ret = 1; for (; k; k >>= 1, first = first * first % p) if (k & 1) ret = ret * first % p; return ret; } int id = 0; int mex[MAXN]; int N, M; int sg(int n) { if (!M) { if (n == 1) return 1; if (n == 2) return 2; return n & 1 ? 0 : 1; } if (n == 1 || n == 3) return 1; if (n == 2) return 0; if (n == 4) return 2; if (n & 1) return 0; return (sg(n >> 1) == 1) ? 2 : 1; } int main() { read(N), read(M); M = M & 1; int SG = 0; for (int i = 1, first; i <= N; ++i) read(first), SG ^= sg(first); puts(SG != 0 ? "Kevin" : "Nicky"); return 0; }
7
#include <bits/stdc++.h> using namespace std; long long n, lb, rb, ky[10000069], ps[10000069], pwk; bitset<10000069> vtd; long long pw(long long x, long long y) { if (!y) { return 1; } pwk = pw(x, y / 2); pwk = min(pwk * pwk, rb + 1); if (y % 2) { pwk = min(pwk * x, rb + 1); } return pwk; } int main() { long long i, j, r, k, c, z = 0; scanf("%lld%lld%lld", &n, &lb, &rb); if (n == 1) { printf("%lld\n", rb - lb + 1); return 0; } for (i = 1; i <= rb; i++) { ky[i] = i; } for (i = 2; i <= rb; i++) { if (!vtd[i]) { for (j = i; j <= rb; j += i) { vtd[j] = 1; for (c = 0; ky[j] % i == 0; ky[j] /= i, c++) ; for (r = 0; r < c % (n - 1); r++, ky[j] *= i) ; } } } for (i = 1; 1; i++) { k = pw(i, n - 1); if (k > rb) { break; } ps[k]++; } for (i = 1; i <= rb; i++) { ps[i] += ps[i - 1]; } for (i = lb; i <= rb; i++) { z += ps[rb / ky[i]] - ps[(lb - 1) / ky[i]] - 1; } printf("%lld\n", z); }
8
#include <bits/stdc++.h> int main() { int a[110] = {0, 1, 2, 4, 6}; int n, i; scanf("%d", &n); for (i = 5; i < 110; i++) { a[i] = 2 * a[i - 1] - 2 * a[i - 3] + a[i - 4]; } printf("%d", a[n]); return 0; }
2
#include <bits/stdc++.h> using namespace std; const int P(998244353); long long mpower(long long a, int b) { int ret = 1; while (b) { if (b & 1) ret = ret * a % P; a = a * a % P; b >>= 1; } return ret; } int n, p, cp[2005][2005], st[2005], ans[2005]; int main() { { int a, b; scanf("%d%d%d", &n, &a, &b); p = a * mpower(b, P - 2) % P; } cp[0][0] = 1; for (int i = 1; i <= n; ++i) for (int j = 0; j <= i; ++j) cp[i][j] = (cp[i - 1][j] * mpower(P + 1 - p, j) + (j ? cp[i - 1][j - 1] * mpower(p, i - j) : 0)) % P; for (int i = 1; i <= n; ++i) { st[i] = 1; for (int j = 1; j < i; ++j) st[i] = (st[i] - (long long)st[j] * cp[i][j]) % P; if (st[i] < 0) st[i] += P; } for (int i = 1; i <= n; ++i) { for (int j = 1; j < i; ++j) ans[i] = (ans[i] + ((long long)j * (i - j) + (long long)j * (j - 1) / 2 + ans[j] + ans[i - j]) % P * st[j] % P * cp[i][j]) % P; ans[i] = (ans[i] + (long long)i * (i - 1) / 2 % P * st[i]) % P; ans[i] = ans[i] * mpower((P + 1 - st[i]) % P, P - 2) % P; } printf("%d\n", ans[n]); return 0; }
10
#include <bits/stdc++.h> using namespace std; int cnt[3] = {0}; int n, T, len, type; int dp1[51][2501]; int dp2[51][51][2501]; int f[3][51][51][51]; long long int fac[51], ans = 0; void init(void) { dp1[0][0] = dp2[0][0][0] = 1; fac[0] = fac[1] = 1; for (int i = 2; i <= n; i++) fac[i] = fac[i - 1] * i % 1000000007; f[0][1][0][0] = f[1][0][1][0] = f[2][0][0][1] = 1; for (int sum = 2; sum <= n; sum++) for (int i = 0; i <= sum; i++) for (int j = 0; i + j <= sum; j++) { int k = sum - i - j; if (i >= 1) f[0][i][j][k] = (f[1][i - 1][j][k] + f[2][i - 1][j][k]) % 1000000007; if (j >= 1) f[1][i][j][k] = (f[0][i][j - 1][k] + f[2][i][j - 1][k]) % 1000000007; if (k >= 1) f[2][i][j][k] = (f[0][i][j][k - 1] + f[1][i][j][k - 1]) % 1000000007; } return; } int main(void) { scanf("%d%d", &n, &T); init(); for (int i = 0; i < n; i++) { scanf("%d%d", &len, &type); cnt[type - 1]++; if (type == 1) for (int i = cnt[0]; i > 0; i--) for (int j = cnt[1]; j >= 0; j--) for (int k = T; k >= len; k--) dp2[i][j][k] = (dp2[i][j][k] + dp2[i - 1][j][k - len]) % 1000000007; else if (type == 2) for (int i = cnt[0]; i >= 0; i--) for (int j = cnt[1]; j > 0; j--) for (int k = T; k >= len; k--) dp2[i][j][k] = (dp2[i][j][k] + dp2[i][j - 1][k - len]) % 1000000007; else for (int i = cnt[2]; i > 0; i--) for (int j = T; j >= len; j--) dp1[i][j] = (dp1[i][j] + dp1[i - 1][j - len]) % 1000000007; } for (int i = 0; i <= n; i++) for (int j = 0; i + j <= n; j++) for (int k = 0; i + j + k <= n; k++) for (int t = 0; t <= T; t++) { long long int p = fac[i] * fac[j] % 1000000007 * fac[k] % 1000000007; p = p * ((long long int)f[0][i][j][k] + f[1][i][j][k] + f[2][i][j][k]) % 1000000007; p = p * dp1[k][T - t] % 1000000007 * dp2[i][j][t]; ans = (ans + p) % 1000000007; } printf("%lld\n", ans); return 0; }
9
#include <bits/stdc++.h> using namespace std; vector<vector<long long>> g(200000); long long a[200000]; long long s[200000]; void dfs(long long v, bool h = true, long long p = -1) { if (s[v] != -1) { if (!h) { cout << -1; exit(0); } for (auto i : g[v]) { dfs(i, !h, v); } return; } long long pz = s[p]; long long mi = (long long)1e18; for (auto i : g[v]) { mi = min(mi, s[i]); } if (mi == (long long)1e18) { mi = pz; } if (mi < pz) { cout << -1; exit(0); } s[v] = mi; for (auto i : g[v]) { dfs(i, !h, v); } } void df(int v, int p = -1) { if (v != 0) a[v] = s[v] - s[p]; for (auto i : g[v]) { df(i, v); } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long n; cin >> n; for (long long i = 0; i < n - 1; i++) { long long p; cin >> p; g[p - 1].emplace_back(i + 1); } for (long long i = 0; i < n; i++) { cin >> s[i]; } dfs(0); df(0); a[0] = s[0]; long long ans = 0; for (int i = 0; i < n; i++) { ans += a[i]; } cout << ans; }
4
#include <bits/stdc++.h> #define clr(x) memset(x,0,sizeof(x)) #define For(i,a,b) for (int i=(a);i<=(b);i++) #define Fod(i,b,a) for (int i=(b);i>=(a);i--) #define fi first #define se second #define kill _z_kill #define y0 _z_y0 #define y1 _z_y1 #define x0 _z_x0 #define x1 _z_x1 #define pb push_back #define mp(x,y) make_pair(x,y) using namespace std; typedef long long LL; typedef unsigned long long ull; typedef unsigned uint; typedef long double LD; typedef vector <int> vi; typedef pair <int,int> pii; void enable_comma(){} string tostring(char c){ string s=""; s+=c; return s; } string tostring(string s){ return "\""+s+"\""; } string tostring(const char *c){ return tostring((string)c); } string tostring(long long x){ if (x<0) return "-"+tostring(-x); if (x>9) return tostring(x/10)+tostring(char('0'+x%10)); else return tostring(char('0'+x)); } string tostring(int x){ return tostring((long long)x); } string tostring(unsigned long long x){ if (x>9) return tostring((long long)(x/10))+tostring(char('0'+x%10)); else return tostring(char('0'+x)); } string tostring(unsigned x){ return tostring((long long)x); } string tostring(double x){ static char res[114]; sprintf(res,"%lf",x); string s=tostring(res); return s.substr(1,(int)s.size()-2); } string tostring(long double x){ return tostring((double)x); } template <class A,class B> string tostring(pair <A,B> p){ return "("+tostring(p.fi)+","+tostring(p.se)+")"; } template <class T> string tostring(T v){ string res=""; for (auto p : v) res+=(res.size()?",":"{")+tostring(p); return res.size()?res+"}":"{}"; } template <class A> string tostring(A* a,int L,int R){ return tostring(vector <A>(a+L,a+R+1)); }; template <class A> string tostring(A a,int L,int R){ return tostring(a.data(),L,R); } string tostrings(){ return ""; } template <typename Head,typename... Tail> string tostrings(Head H,Tail... T){ return tostring(H)+" "+tostrings(T...); } #define User_Time ((double)clock()/CLOCKS_PER_SEC) #ifdef zzd #define outval(x) cerr<<#x" = "<<tostring(x)<<endl #define outvals(...) cerr<<"["<<#__VA_ARGS__<<"]: "<<\ tostrings(__VA_ARGS__)<<endl #define outtag(x) cerr<<"--------------"#x"---------------"<<endl #define outsign(x) cerr<<"<"#x">"<<endl #define outarr(a,L,R) cerr<<#a"["<<(L)<<".."<<(R)<<"] = "<<\ tostring(a,L,R)<<endl #else #define outval(x) enable_comma() #define outvals(...) enable_comma() #define outtag(x) enable_comma() #define outsign(x) enable_comma() #define outarr(a,L,R) enable_comma() #endif #ifdef ONLINE_JUDGE #ifdef assert #undef assert #endif #define assert(x) (!(x)?\ cout<<"Assertion failed!"<<endl<<\ "function: "<<__FUNCTION__<<endl<<\ "line: "<<__LINE__<<endl<<\ "expression: "<<#x<<endl,exit(3),0:1) #endif LL read(){ LL x=0,f=0; char ch=getchar(); while (!isdigit(ch)) f=ch=='-',ch=getchar(); while (isdigit(ch)) x=(x<<1)+(x<<3)+(ch^48),ch=getchar(); return f?-x:x; } template <class T> void ckmax(T &x,const T y){ if (x<y) x=y; } template <class T> void ckmin(T &x,const T y){ if (x>y) x=y; } //int Pow(int x,LL y){ // y=(y%(mod-1)+(mod-1))%(mod-1); // int ans=1; // for (;y;y>>=1,x=(LL)x*x%mod) // if (y&1) // ans=(LL)ans*x%mod; // return ans; //} //void Add(int &x,int y){ // if ((x+=y)>=mod) // x-=mod; //} //void Del(int &x,int y){ // if ((x-=y)<0) // x+=mod; //} //int Add(int x){ // return x>=mod?x-mod:x; //} //int Del(int x){ // return x<0?x+mod:x; //} //int md(LL x){ // return (x%mod+mod)%mod; //} const int N=500005; int n; char a[N]; int pre[N]; int vis[1<<18]; int ans; void dfs(int x){ if (vis[x]) return; vis[x]=1; ckmin(ans,x); // outval(x); For(i,0,n-1){ int c0=0,c1=0; For(j,i,n-1){ if (x>>j&1) c1++; else c0++; if (c0==c1){ int y=x; For(k,i,j) y^=1<<k; for (int l=i,r=j;l<r;l++,r--){ int v0=y>>l&1,v1=y>>r&1; y^=v0<<l; y^=v1<<r; y^=v0<<r; y^=v1<<l; } dfs(y); } } } } void bf(){ clr(vis); int v=0; For(i,1,n) v|=(a[i]-'0')<<(i-1); ans=v; dfs(v); For(i,0,n-1) putchar(ans>>i&1?'1':'0'); puts(""); } void solve(){ scanf("%s",a+1); n=strlen(a+1); #ifdef zzd bf(); #endif unordered_map <int,int> cnt; int s=0,mx=-1; For(i,1,n){ ckmax(mx,s); s+=a[i]=='1'?1:-1; pre[i]=s; cnt[min(pre[i],pre[i-1])]++; } int now=0; // outval(cnt); For(i,1,n){ if (i==n){ if (cnt[now]) a[i]='1'; else assert(cnt[now-1]),a[i]='0'; break; } if (cnt[now-1]>0&&(now-1!=s||cnt[now-1]+cnt[now-2]>2)&&(cnt[now-1]>1||!cnt[now])){ a[i]='0'; now--; assert(cnt[now]>0); cnt[now]--; } else { a[i]='1'; assert(cnt[now]>0); cnt[now]--; now++; } // outval(now); } For(i,1,n) putchar(a[i]); puts(""); } int main(){ int T=read(); while (T--) solve(); return 0; }
11
#include <bits/stdc++.h> using namespace std; string lower(string second) { for (int i = 0; i < second.size(); i++) if (second[i] >= 'A' && second[i] <= 'Z') second[i] = second[i] - 'A' + 'a'; return second; } char reg(char c, char t) { if (c >= 'A' && c <= 'Z') return t - 'a' + 'A'; return t; } string second, a[105], sl; bool u[105]; int n; int main() { cin >> n; for (int i = 0; i < n; i++) { cin >> a[i]; a[i] = lower(a[i]); } char let; cin >> second >> let; sl = lower(second); for (int i = 0; i < second.size(); i++) for (int j = 0; j < n; j++) if (i + a[j].size() <= second.size() && sl.substr(i, a[j].size()) == a[j]) { for (int k = i; k < i + a[j].size(); k++) u[k] = true; } for (int i = 0; i < second.size(); i++) if (u[i]) { if (sl[i] == let) { if (sl[i] == 'a') second[i] = reg(second[i], 'b'); else second[i] = reg(second[i], 'a'); } else second[i] = reg(second[i], let); } cout << second; return 0; }
4
#include <bits/stdc++.h> using namespace std; int32_t main() { string s; cin >> s; s = '*' + s; set<long long> alpha[26]; for (long long i = 1; i < s.size(); i++) alpha[s[i] - 'a'].insert(i); long long t; cin >> t; while (t--) { long long n; cin >> n; if (n == 1) { long long x; char y; cin >> x >> y; char c = s[x]; alpha[c - 'a'].erase(x); alpha[y - 'a'].insert(x); s[x] = y; } else { long long p, q; cin >> p >> q; long long ans = 0; for (long long i = 0; i < 26; i++) { auto it = alpha[i].lower_bound(p); if (it != alpha[i].end() && (*it) >= p && (*it) <= q) ans++; } cout << ans << endl; } } return 0; }
4
#include <bits/stdc++.h> using namespace std; class PQNode { friend class PQTree; friend class QNodeChildrenIterator; public: enum PQNode_types { leaf, pnode, qnode }; enum PQNode_marks { unmarked, queued, blocked, unblocked }; enum PQNode_labels { empty, full, partial }; PQNode_types Type(); int LeafValue(); void Children(vector<PQNode*>* children); private: list<PQNode*> circular_link_; int ChildCount(); PQNode* CircularChildWithLabel(PQNode_labels label); void MoveFullChildren(PQNode* new_node); void ReplaceCircularLink(PQNode* old_child, PQNode* new_child); PQNode* endmost_children_[2]; PQNode* pseudo_neighbors_[2]; bool pseudonode_, pseudochild_; PQNode* EndmostChildWithLabel(PQNode_labels label); PQNode* ImmediateSiblingWithLabel(PQNode_labels label); PQNode* ImmediateSiblingWithoutLabel(PQNode_labels label); void AddImmediateSibling(PQNode* sibling); void RemoveImmediateSibling(PQNode* sibling); void ClearImmediateSiblings(); int ImmediateSiblingCount() const; void ReplaceEndmostChild(PQNode* old_child, PQNode* new_child); void ReplaceImmediateSibling(PQNode* old_child, PQNode* new_child); void ReplacePartialChild(PQNode* old_child, PQNode* new_child); void ForgetChildren(); bool ConsecutiveFullPartialChildren(); set<PQNode*> full_children_; set<PQNode*> partial_children_; PQNode* immediate_siblings_[2]; enum PQNode_labels label_; enum PQNode_marks mark_; enum PQNode_types type_; PQNode* parent_; int pertinent_child_count; int pertinent_leaf_count; int leaf_value_; PQNode* CopyAsChild(const PQNode& to_copy); void Copy(const PQNode& copy); PQNode& operator=(const PQNode& to_copy); PQNode* QNextChild(PQNode* last) const; void ReplaceChild(PQNode* old_child, PQNode* new_child); void SwapQ(PQNode* toInsert); PQNode* Parent() const; PQNode(const PQNode& to_copy); PQNode(int value); PQNode(); ~PQNode(); void LabelAsFull(); void FindLeaves(map<int, PQNode*>& leafAddress); void FindFrontier(list<int>& ordering); void Reset(); void Print(string* out) const; void Identify() const; }; class QNodeChildrenIterator { public: QNodeChildrenIterator(PQNode* parent, PQNode* begin_side = NULL); PQNode* Current(); void Next(); void Reset(PQNode* begin_side = NULL); bool IsDone(); private: void NextPseudoNodeSibling(); PQNode* parent_; PQNode* current_; PQNode* next_; PQNode* prev_; }; PQNode::PQNode_types PQNode::Type() { return type_; } int PQNode::LeafValue() { assert(type_ == leaf); return leaf_value_; } void PQNode::Children(vector<PQNode*>* children) { assert(children->empty()); if (type_ == pnode) { for (list<PQNode*>::const_iterator i = circular_link_.begin(); i != circular_link_.end(); ++i) children->push_back(*i); } else if (type_ == qnode) { for (QNodeChildrenIterator qit(this); !qit.IsDone(); qit.Next()) children->push_back(qit.Current()); } } int PQNode::ChildCount() { return circular_link_.size(); } PQNode* PQNode::CopyAsChild(const PQNode& to_copy) { PQNode* temp = new PQNode(to_copy); temp->parent_ = this; return temp; } PQNode::PQNode(const PQNode& to_copy) { Copy(to_copy); } void PQNode::Copy(const PQNode& to_copy) { leaf_value_ = to_copy.leaf_value_; pertinent_leaf_count = to_copy.pertinent_leaf_count; pertinent_child_count = to_copy.pertinent_child_count; type_ = to_copy.type_; mark_ = to_copy.mark_; label_ = to_copy.label_; pseudonode_ = to_copy.pseudonode_; pseudochild_ = to_copy.pseudochild_; parent_ = NULL; partial_children_.clear(); full_children_.clear(); circular_link_.clear(); endmost_children_[0] = NULL; endmost_children_[1] = NULL; ClearImmediateSiblings(); ForgetChildren(); for (list<PQNode*>::const_iterator i = to_copy.circular_link_.begin(); i != to_copy.circular_link_.end(); i++) circular_link_.push_back(CopyAsChild(**i)); if (type_ == qnode) { PQNode *current, *last; PQNode *curCopy, *lastCopy, *nextCopy; endmost_children_[0] = CopyAsChild(*to_copy.endmost_children_[0]); curCopy = to_copy.endmost_children_[0]; lastCopy = NULL; last = endmost_children_[0]; nextCopy = curCopy->QNextChild(lastCopy); while (nextCopy != NULL) { lastCopy = curCopy; curCopy = nextCopy; current = CopyAsChild(*curCopy); current->AddImmediateSibling(last); last->AddImmediateSibling(current); last = current; nextCopy = curCopy->QNextChild(lastCopy); } endmost_children_[1] = current; } } PQNode& PQNode::operator=(const PQNode& to_copy) { if (&to_copy == this) return *this; Copy(to_copy); return *this; } void PQNode::LabelAsFull() { label_ = full; if (parent_) parent_->full_children_.insert(this); } PQNode* PQNode::QNextChild(PQNode* last) const { if (immediate_siblings_[0] == last) { return immediate_siblings_[1]; } else { if (!last && 2 == ImmediateSiblingCount()) return immediate_siblings_[1]; return immediate_siblings_[0]; } } void PQNode::ReplaceChild(PQNode* old_child, PQNode* new_child) { if (type_ == pnode) { ReplaceCircularLink(old_child, new_child); } else { for (int i = 0; i < 2 && old_child->immediate_siblings_[i]; ++i) { PQNode* sibling = old_child->immediate_siblings_[i]; sibling->ReplaceImmediateSibling(old_child, new_child); } ReplaceEndmostChild(old_child, new_child); } new_child->parent_ = old_child->parent_; if (new_child->label_ == partial) new_child->parent_->partial_children_.insert(new_child); if (new_child->label_ == full) new_child->parent_->full_children_.insert(new_child); } void PQNode::SwapQ(PQNode* toInsert) { toInsert->pseudochild_ = pseudochild_; toInsert->ClearImmediateSiblings(); for (int i = 0; i < 2; ++i) { if (parent_->endmost_children_[i] == this) parent_->endmost_children_[i] = toInsert; if (immediate_siblings_[i]) immediate_siblings_[i]->ReplaceImmediateSibling(this, toInsert); } ClearImmediateSiblings(); parent_ = NULL; } PQNode* PQNode::Parent() const { if (immediate_siblings_[0] == NULL || immediate_siblings_[1] == NULL) return parent_; return NULL; } PQNode::PQNode(int value) { leaf_value_ = value; type_ = leaf; parent_ = NULL; label_ = empty; mark_ = unmarked; pertinent_child_count = 0; pertinent_leaf_count = 0; endmost_children_[0] = NULL; endmost_children_[1] = NULL; ClearImmediateSiblings(); ForgetChildren(); } PQNode::PQNode() { pseudonode_ = false; parent_ = NULL; label_ = empty; mark_ = unmarked; pertinent_child_count = 0; pertinent_leaf_count = 0; endmost_children_[0] = NULL; endmost_children_[1] = NULL; ClearImmediateSiblings(); ForgetChildren(); } PQNode::~PQNode() { if (type_ == qnode) { PQNode* last = NULL; PQNode* current = endmost_children_[0]; while (current) { PQNode* next = current->QNextChild(last); delete last; last = current; current = next; } delete last; } else if (type_ == pnode) { for (list<PQNode*>::iterator i = circular_link_.begin(); i != circular_link_.end(); i++) delete *i; circular_link_.clear(); } } PQNode* PQNode::CircularChildWithLabel(PQNode_labels label) { for (list<PQNode*>::iterator i = circular_link_.begin(); i != circular_link_.end(); i++) { if ((*i)->label_ == label) return *i; } return NULL; } PQNode* PQNode::EndmostChildWithLabel(PQNode_labels label) { for (int i = 0; i < 2; ++i) if (endmost_children_[i] && endmost_children_[i]->label_ == label) return endmost_children_[i]; return NULL; } PQNode* PQNode::ImmediateSiblingWithLabel(PQNode_labels label) { for (int i = 0; i < 2 && immediate_siblings_[i]; ++i) if (immediate_siblings_[i]->label_ == label) return immediate_siblings_[i]; return NULL; } PQNode* PQNode::ImmediateSiblingWithoutLabel(PQNode_labels label) { for (int i = 0; i < 2 && immediate_siblings_[i]; ++i) if (immediate_siblings_[i]->label_ != label) return immediate_siblings_[i]; return NULL; } void PQNode::AddImmediateSibling(PQNode* sibling) { int null_idx = ImmediateSiblingCount(); assert(null_idx < 2); immediate_siblings_[null_idx] = sibling; } void PQNode::RemoveImmediateSibling(PQNode* sibling) { if (immediate_siblings_[0] == sibling) { immediate_siblings_[0] = immediate_siblings_[1]; immediate_siblings_[1] = NULL; } else if (immediate_siblings_[1] == sibling) { immediate_siblings_[1] = NULL; } else { assert(false); } } void PQNode::ClearImmediateSiblings() { for (int i = 0; i < 2; ++i) immediate_siblings_[i] = NULL; } int PQNode::ImmediateSiblingCount() const { int count = 0; for (int i = 0; (i < 2) && immediate_siblings_[i]; ++i) ++count; return count; } void PQNode::ReplaceEndmostChild(PQNode* old_child, PQNode* new_child) { for (int i = 0; i < 2; ++i) { if (endmost_children_[i] == old_child) { endmost_children_[i] = new_child; return; } } } void PQNode::ReplaceImmediateSibling(PQNode* old_child, PQNode* new_child) { for (int i = 0; i < 2 && immediate_siblings_[i]; ++i) if (immediate_siblings_[i] == old_child) immediate_siblings_[i] = new_child; new_child->immediate_siblings_[new_child->ImmediateSiblingCount()] = this; } void PQNode::ReplacePartialChild(PQNode* old_child, PQNode* new_child) { new_child->parent_ = this; partial_children_.insert(new_child); partial_children_.erase(old_child); if (type_ == pnode) { circular_link_.remove(old_child); circular_link_.push_back(new_child); } else { old_child->SwapQ(new_child); } } void PQNode::ForgetChildren() { for (int i = 0; i < 2; ++i) endmost_children_[i] = NULL; } bool PQNode::ConsecutiveFullPartialChildren() { if (full_children_.size() + partial_children_.size() <= 1) return true; map<PQNode_labels, int> counts; for (set<PQNode*>::iterator it = full_children_.begin(); it != full_children_.end(); ++it) { for (int i = 0; i < 2 && (*it)->immediate_siblings_[i]; ++i) counts[(*it)->immediate_siblings_[i]->label_]++; } for (set<PQNode*>::iterator it = partial_children_.begin(); it != partial_children_.end(); ++it) { for (int i = 0; i < 2 && (*it)->immediate_siblings_[i]; ++i) counts[(*it)->immediate_siblings_[i]->label_]++; } if (counts[partial] != partial_children_.size()) return false; if (counts[full] != (full_children_.size() * 2) - (2 - counts[partial])) return false; return true; } void PQNode::MoveFullChildren(PQNode* new_node) { for (set<PQNode*>::iterator i = full_children_.begin(); i != full_children_.end(); ++i) { circular_link_.remove(*i); new_node->circular_link_.push_back(*i); (*i)->parent_ = new_node; } } void PQNode::ReplaceCircularLink(PQNode* old_child, PQNode* new_child) { circular_link_.remove(old_child); circular_link_.push_back(new_child); } void PQNode::FindLeaves(map<int, PQNode*>& leafAddress) { if (type_ == leaf) { leafAddress[leaf_value_] = this; } else if (type_ == pnode) { for (list<PQNode*>::iterator i = circular_link_.begin(); i != circular_link_.end(); i++) (*i)->FindLeaves(leafAddress); } else if (type_ == qnode) { PQNode* last = NULL; PQNode* current = endmost_children_[0]; while (current) { current->FindLeaves(leafAddress); PQNode* next = current->QNextChild(last); last = current; current = next; } } } void PQNode::FindFrontier(list<int>& ordering) { if (type_ == leaf) { ordering.push_back(leaf_value_); } else if (type_ == pnode) { for (list<PQNode*>::iterator i = circular_link_.begin(); i != circular_link_.end(); i++) (*i)->FindFrontier(ordering); } else if (type_ == qnode) { PQNode* last = NULL; PQNode* current = endmost_children_[0]; while (current) { current->FindFrontier(ordering); PQNode* next = current->QNextChild(last); last = current; current = next; } } } void PQNode::Reset() { if (type_ == pnode) { for (list<PQNode*>::iterator i = circular_link_.begin(); i != circular_link_.end(); i++) (*i)->Reset(); } else if (type_ == qnode) { PQNode* last = NULL; PQNode* current = endmost_children_[0]; while (current) { current->Reset(); PQNode* next = current->QNextChild(last); last = current; current = next; } } full_children_.clear(); partial_children_.clear(); label_ = empty; mark_ = unmarked; pertinent_child_count = 0; pertinent_leaf_count = 0; pseudochild_ = false; pseudonode_ = false; } int answer = 1; const int mod = 998244353; using ll = long long; void PQNode::Print(string* out) const { if (type_ == leaf) { char value_str[10]; sprintf(value_str, "%d", leaf_value_); *out += value_str; } else if (type_ == pnode) { *out += "("; int cnt = 0; for (list<PQNode*>::const_iterator i = circular_link_.begin(); i != circular_link_.end(); i++) { (*i)->Print(out); cnt++; answer = (answer * (ll)cnt) % mod; if (++i != circular_link_.end()) *out += " "; --i; } *out += ")"; } else if (type_ == qnode) { *out += "["; PQNode* last = NULL; PQNode* current = endmost_children_[0]; while (current) { current->Print(out); PQNode* next = current->QNextChild(last); last = current; current = next; if (current) *out += " "; } answer = (answer * (ll)2) % mod; *out += "]"; } } void PQNode::Identify() const { cout << "Node: " << this; cout << " Parent: " << parent_ << endl; if (type_ == leaf) { cout << "Type: leaf Value: " << leaf_value_ << endl; } else { string value; Print(&value); if (type_ == pnode) cout << "Type: pnode Value: " << value << endl; if (type_ == qnode) cout << "Type: qnode Value: " << value << endl; } } QNodeChildrenIterator::QNodeChildrenIterator(PQNode* parent, PQNode* begin_side) { parent_ = parent; Reset(begin_side); } void QNodeChildrenIterator::Reset(PQNode* begin_side) { current_ = parent_->endmost_children_[0]; if (begin_side) current_ = begin_side; prev_ = NULL; next_ = current_->immediate_siblings_[0]; } PQNode* QNodeChildrenIterator::Current() { return current_; } void QNodeChildrenIterator::NextPseudoNodeSibling() { prev_ = current_; current_ = current_->ImmediateSiblingWithLabel(PQNode::full); if (!current_) current_ = current_->ImmediateSiblingWithLabel(PQNode::partial); } void QNodeChildrenIterator::Next() { if (IsDone()) return; if (prev_ == NULL && current_->ImmediateSiblingCount() == 2) { NextPseudoNodeSibling(); } else { prev_ = current_; current_ = next_; } if (current_) { next_ = current_->immediate_siblings_[0]; if (next_ == prev_) next_ = current_->immediate_siblings_[1]; } } bool QNodeChildrenIterator::IsDone() { return current_ == NULL; } class PQTree { private: PQNode* root_; int block_count_; int blocked_nodes_; int off_the_top_; list<set<int>> reductions_; map<int, PQNode*> leaf_address_; PQNode* pseudonode_; bool invalid_; int UnblockSiblings(PQNode* sibling); bool TemplateL1(PQNode* candidate_node); bool TemplateQ1(PQNode* candidate_node); bool TemplateQ2(PQNode* candidate_node); bool TemplateQ3(PQNode* candidate_node); bool TemplateP1(PQNode* candidate_node, bool is_reduction_root); bool TemplateP2(PQNode* candidate_node); bool TemplateP3(PQNode* candidate_node); bool TemplateP4(PQNode* candidate_node); bool TemplateP5(PQNode* candidate_node); bool TemplateP6(PQNode* candidate_node); bool Bubble(set<int> S); bool ReduceStep(set<int> S); public: PQTree(set<int> S); PQTree(const PQTree& to_copy); ~PQTree(); PQNode* Root(); string Print() const; void CleanPseudo(); bool SafeReduce(set<int>); bool SafeReduceAll(list<set<int>>); bool Reduce(set<int> S); bool ReduceAll(list<set<int>> L); list<int> Frontier(); PQTree& operator=(const PQTree& to_copy); void CopyFrom(const PQTree& to_copy); list<int> ReducedFrontier(); list<set<int>> GetReductions(); set<int> GetContained(); }; PQTree::PQTree(const PQTree& to_copy) { CopyFrom(to_copy); } PQTree& PQTree::operator=(const PQTree& to_copy) { if (&to_copy != this) CopyFrom(to_copy); return *this; } void PQTree::CopyFrom(const PQTree& to_copy) { root_ = new PQNode(*to_copy.root_); block_count_ = to_copy.block_count_; blocked_nodes_ = to_copy.blocked_nodes_; invalid_ = to_copy.invalid_; off_the_top_ = to_copy.off_the_top_; pseudonode_ = NULL; reductions_ = to_copy.reductions_; leaf_address_.clear(); root_->FindLeaves(leaf_address_); } int PQTree::UnblockSiblings(PQNode* candidate_node) { assert(candidate_node->mark_ == PQNode::unblocked); int unblocked_count = 0; for (int i = 0; i < 2 && candidate_node->immediate_siblings_[i]; ++i) { PQNode* sibling = candidate_node->immediate_siblings_[i]; if (sibling->mark_ == PQNode::blocked) { sibling->parent_ = candidate_node->parent_; sibling->mark_ = PQNode::unblocked; unblocked_count++; unblocked_count += UnblockSiblings(sibling); } } return unblocked_count; } bool PQTree::TemplateL1(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::leaf) return false; candidate_node->LabelAsFull(); return true; } bool PQTree::TemplateQ1(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::qnode) return false; for (QNodeChildrenIterator it(candidate_node); !it.IsDone(); it.Next()) { if (it.Current()->label_ != PQNode::full) return false; } candidate_node->LabelAsFull(); return true; } bool PQTree::TemplateQ2(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::qnode || candidate_node->pseudonode_ || candidate_node->partial_children_.size() > 1 || !candidate_node->ConsecutiveFullPartialChildren()) return false; bool has_partial = candidate_node->partial_children_.size() > 0; bool has_full = candidate_node->full_children_.size() > 0; if (has_full && !candidate_node->EndmostChildWithLabel(PQNode::full)) return false; if (!has_full && !candidate_node->EndmostChildWithLabel(PQNode::partial)) return false; if (has_partial) { PQNode* to_merge = *candidate_node->partial_children_.begin(); for (int i = 0; i < 2; ++i) { PQNode* child = to_merge->endmost_children_[i]; PQNode* sibling = to_merge->ImmediateSiblingWithLabel(child->label_); if (sibling) { sibling->ReplaceImmediateSibling(to_merge, child); } else { candidate_node->ReplaceEndmostChild(to_merge, child); child->parent_ = candidate_node; } } to_merge->ForgetChildren(); delete to_merge; } candidate_node->label_ = PQNode::partial; if (candidate_node->parent_) candidate_node->parent_->partial_children_.insert(candidate_node); return true; } bool PQTree::TemplateQ3(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::qnode || candidate_node->partial_children_.size() > 2 || !candidate_node->ConsecutiveFullPartialChildren()) return false; for (set<PQNode*>::iterator j = candidate_node->partial_children_.begin(); j != candidate_node->partial_children_.end(); j++) { PQNode* to_merge = *j; for (int i = 0; i < 2; ++i) { PQNode* sibling = to_merge->immediate_siblings_[i]; if (sibling) { PQNode* child = to_merge->EndmostChildWithLabel(sibling->label_); if (!child) child = to_merge->EndmostChildWithLabel(PQNode::full); sibling->ReplaceImmediateSibling(to_merge, child); } else { PQNode* empty_child = to_merge->EndmostChildWithLabel(PQNode::empty); empty_child->parent_ = candidate_node; candidate_node->ReplaceEndmostChild(to_merge, empty_child); } } to_merge->ForgetChildren(); delete to_merge; } return true; } bool PQTree::TemplateP1(PQNode* candidate_node, bool is_reduction_root) { if (candidate_node->type_ != PQNode::pnode || candidate_node->full_children_.size() != candidate_node->ChildCount()) return false; candidate_node->label_ = PQNode::full; if (!is_reduction_root) candidate_node->parent_->full_children_.insert(candidate_node); return true; } bool PQTree::TemplateP2(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::pnode || !candidate_node->partial_children_.empty()) return false; if (candidate_node->full_children_.size() >= 2) { PQNode* new_pnode = new PQNode; new_pnode->type_ = PQNode::pnode; new_pnode->parent_ = candidate_node; candidate_node->MoveFullChildren(new_pnode); candidate_node->circular_link_.push_back(new_pnode); } candidate_node->label_ = PQNode::partial; return true; } bool PQTree::TemplateP3(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::pnode || !candidate_node->partial_children_.empty()) return false; PQNode* new_qnode = new PQNode; new_qnode->type_ = PQNode::qnode; new_qnode->label_ = PQNode::partial; candidate_node->parent_->ReplacePartialChild(candidate_node, new_qnode); PQNode* full_child; if (candidate_node->full_children_.size() == 1) { full_child = *candidate_node->full_children_.begin(); candidate_node->circular_link_.remove(full_child); } else { full_child = new PQNode; full_child->type_ = PQNode::pnode; full_child->label_ = PQNode::full; candidate_node->MoveFullChildren(full_child); } full_child->parent_ = new_qnode; full_child->label_ = PQNode::full; new_qnode->endmost_children_[0] = full_child; new_qnode->full_children_.insert(full_child); PQNode* empty_child; if (candidate_node->circular_link_.size() == 1) { empty_child = *candidate_node->circular_link_.begin(); candidate_node->circular_link_.clear(); delete candidate_node; } else { empty_child = candidate_node; } empty_child->parent_ = new_qnode; empty_child->label_ = PQNode::empty; new_qnode->endmost_children_[1] = empty_child; empty_child->immediate_siblings_[0] = full_child; full_child->immediate_siblings_[0] = empty_child; return true; } bool PQTree::TemplateP4(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::pnode || candidate_node->partial_children_.size() != 1) return false; PQNode* partial_qnode = *candidate_node->partial_children_.begin(); PQNode* empty_child = partial_qnode->EndmostChildWithLabel(PQNode::empty); PQNode* full_child = partial_qnode->EndmostChildWithLabel(PQNode::full); if (!empty_child || !full_child) return false; if (!candidate_node->full_children_.empty()) { PQNode* full_children_root; if (candidate_node->full_children_.size() == 1) { full_children_root = *(candidate_node->full_children_.begin()); candidate_node->circular_link_.remove(full_children_root); } else { full_children_root = new PQNode; full_children_root->type_ = PQNode::pnode; full_children_root->label_ = PQNode::full; candidate_node->MoveFullChildren(full_children_root); } full_children_root->parent_ = partial_qnode; partial_qnode->ReplaceEndmostChild(full_child, full_children_root); partial_qnode->full_children_.insert(full_children_root); full_child->AddImmediateSibling(full_children_root); full_children_root->AddImmediateSibling(full_child); } if (candidate_node->circular_link_.size() == 1) { if (candidate_node->Parent()) { candidate_node->parent_->ReplaceChild(candidate_node, partial_qnode); } else { partial_qnode->parent_ = NULL; if (root_ == candidate_node) { root_ = partial_qnode; } else { for (int i = 0; i < 2; ++i) { PQNode* sibling = candidate_node->immediate_siblings_[i]; sibling->ReplaceImmediateSibling(candidate_node, partial_qnode); } } } candidate_node->circular_link_.clear(); delete candidate_node; } return true; } bool PQTree::TemplateP5(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::pnode || candidate_node->partial_children_.size() != 1) return false; PQNode* partial_qnode = *candidate_node->partial_children_.begin(); assert(partial_qnode->type_ == PQNode::qnode); PQNode* empty_child = partial_qnode->EndmostChildWithLabel(PQNode::empty); PQNode* full_child = partial_qnode->EndmostChildWithLabel(PQNode::full); PQNode* empty_sibling = candidate_node->CircularChildWithLabel(PQNode::empty); if (!empty_child || !full_child) return false; candidate_node->parent_->ReplaceChild(candidate_node, partial_qnode); partial_qnode->pertinent_leaf_count = candidate_node->pertinent_leaf_count; candidate_node->circular_link_.remove(partial_qnode); if (!candidate_node->full_children_.empty()) { PQNode* full_children_root; if (candidate_node->full_children_.size() == 1) { full_children_root = *candidate_node->full_children_.begin(); candidate_node->circular_link_.remove(full_children_root); } else { full_children_root = new PQNode; full_children_root->type_ = PQNode::pnode; full_children_root->label_ = PQNode::full; candidate_node->MoveFullChildren(full_children_root); } full_children_root->parent_ = partial_qnode; full_child->AddImmediateSibling(full_children_root); full_children_root->AddImmediateSibling(full_child); partial_qnode->ReplaceEndmostChild(full_child, full_children_root); } if (candidate_node->ChildCount()) { PQNode* empty_children_root; if (candidate_node->ChildCount() == 1) { empty_children_root = empty_sibling; } else { empty_children_root = candidate_node; empty_children_root->label_ = PQNode::empty; empty_children_root->ClearImmediateSiblings(); } empty_children_root->parent_ = partial_qnode; empty_child->AddImmediateSibling(empty_children_root); empty_children_root->AddImmediateSibling(empty_child); partial_qnode->ReplaceEndmostChild(empty_child, empty_children_root); } if (candidate_node->ChildCount() < 2) { candidate_node->circular_link_.clear(); delete candidate_node; } return true; } bool PQTree::TemplateP6(PQNode* candidate_node) { if (candidate_node->type_ != PQNode::pnode || candidate_node->partial_children_.size() != 2) return false; PQNode* partial_qnode1 = *candidate_node->partial_children_.begin(); PQNode* partial_qnode2 = *(++(candidate_node->partial_children_.begin())); PQNode* empty_child1 = partial_qnode1->EndmostChildWithLabel(PQNode::empty); PQNode* full_child1 = partial_qnode1->EndmostChildWithLabel(PQNode::full); if (!empty_child1 || !full_child1) return false; PQNode* empty_child2 = partial_qnode2->EndmostChildWithLabel(PQNode::empty); PQNode* full_child2 = partial_qnode2->EndmostChildWithLabel(PQNode::full); if (!empty_child2 || !full_child2) return false; if (!candidate_node->full_children_.empty()) { PQNode* full_children_root = NULL; if (candidate_node->full_children_.size() == 1) { full_children_root = *candidate_node->full_children_.begin(); candidate_node->circular_link_.remove(full_children_root); } else { full_children_root = new PQNode; full_children_root->type_ = PQNode::pnode; full_children_root->label_ = PQNode::full; candidate_node->MoveFullChildren(full_children_root); } full_children_root->parent_ = partial_qnode1; full_child2->parent_ = partial_qnode1; full_child1->AddImmediateSibling(full_children_root); full_child2->AddImmediateSibling(full_children_root); full_children_root->AddImmediateSibling(full_child1); full_children_root->AddImmediateSibling(full_child2); } else { full_child1->AddImmediateSibling(full_child2); full_child2->AddImmediateSibling(full_child1); } partial_qnode1->ReplaceEndmostChild(full_child1, empty_child2); empty_child2->parent_ = partial_qnode1; candidate_node->circular_link_.remove(partial_qnode2); partial_qnode2->ForgetChildren(); delete partial_qnode2; if (candidate_node->circular_link_.size() == 1) { partial_qnode1->parent_ = candidate_node->parent_; partial_qnode1->pertinent_leaf_count = candidate_node->pertinent_leaf_count; partial_qnode1->label_ = PQNode::partial; if (candidate_node->parent_) { candidate_node->parent_->partial_children_.insert(partial_qnode1); if (candidate_node->parent_->type_ == PQNode::pnode) { candidate_node->parent_->ReplaceCircularLink(candidate_node, partial_qnode1); } else { for (int i = 0; i < 2 && candidate_node->immediate_siblings_[i]; ++i) { PQNode* sibling = candidate_node->immediate_siblings_[i]; sibling->ReplaceImmediateSibling(candidate_node, partial_qnode1); } candidate_node->parent_->ReplaceEndmostChild(candidate_node, partial_qnode1); } } else { root_ = partial_qnode1; partial_qnode1->parent_ = NULL; candidate_node->circular_link_.clear(); delete candidate_node; } } return true; } bool PQTree::Bubble(set<int> reduction_set) { queue<PQNode*> q; block_count_ = 0; blocked_nodes_ = 0; off_the_top_ = 0; set<PQNode*> blocked_list; for (set<int>::iterator i = reduction_set.begin(); i != reduction_set.end(); ++i) { PQNode* temp = leaf_address_[*i]; assert(temp); q.push(temp); } while (q.size() + block_count_ + off_the_top_ > 1) { if (q.empty()) return false; PQNode* candidate_node = q.front(); q.pop(); candidate_node->mark_ = PQNode::blocked; set<PQNode*> unblocked_siblings; set<PQNode*> blocked_siblings; for (int i = 0; i < 2 && candidate_node->immediate_siblings_[i]; ++i) { PQNode* sibling = candidate_node->immediate_siblings_[i]; if (sibling->mark_ == PQNode::blocked) { blocked_siblings.insert(sibling); } else if (sibling->mark_ == PQNode::unblocked) { unblocked_siblings.insert(sibling); } } if (!unblocked_siblings.empty()) { candidate_node->parent_ = (*unblocked_siblings.begin())->parent_; candidate_node->mark_ = PQNode::unblocked; } else if (candidate_node->ImmediateSiblingCount() < 2) { candidate_node->mark_ = PQNode::unblocked; } if (candidate_node->mark_ == PQNode::unblocked) { if (!blocked_siblings.empty()) { int list_size = UnblockSiblings(candidate_node); candidate_node->parent_->pertinent_child_count += list_size; blocked_nodes_ -= list_size; } if (!candidate_node->parent_) { off_the_top_ = 1; } else { candidate_node->parent_->pertinent_child_count++; if (candidate_node->parent_->mark_ == PQNode::unmarked) { q.push(candidate_node->parent_); candidate_node->parent_->mark_ = PQNode::queued; } } block_count_ -= blocked_siblings.size(); } else { block_count_ += 1 - blocked_siblings.size(); blocked_nodes_ += 1; blocked_list.insert(candidate_node); } } if (block_count_ > 1 || (off_the_top_ == 1 && block_count_ != 0)) return false; if (block_count_ == 1 && blocked_nodes_ > 1) { pseudonode_ = new PQNode; pseudonode_->type_ = PQNode::qnode; pseudonode_->pseudonode_ = true; pseudonode_->pertinent_child_count = 0; int side = 0; for (set<PQNode*>::iterator i = blocked_list.begin(); i != blocked_list.end(); ++i) { PQNode* blocked = *i; if (blocked->mark_ == PQNode::blocked) { pseudonode_->pertinent_child_count++; pseudonode_->pertinent_leaf_count += blocked->pertinent_leaf_count; for (int j = 0; j < 2; ++j) { PQNode* sibling = blocked->immediate_siblings_[j]; if (sibling->mark_ == PQNode::unmarked) { blocked->RemoveImmediateSibling(sibling); sibling->RemoveImmediateSibling(blocked); pseudonode_->pseudo_neighbors_[side] = sibling; pseudonode_->endmost_children_[side++] = blocked; break; } } blocked->parent_ = pseudonode_; blocked->pseudochild_ = true; } } q.push(pseudonode_); } return true; } bool PQTree::ReduceStep(set<int> reduction_set) { queue<PQNode*> q; for (set<int>::iterator i = reduction_set.begin(); i != reduction_set.end(); i++) { PQNode* candidate_node = leaf_address_[*i]; if (candidate_node == NULL) return false; candidate_node->pertinent_leaf_count = 1; q.push(candidate_node); } while (!q.empty()) { PQNode* candidate_node = q.front(); q.pop(); if (candidate_node->pertinent_leaf_count < reduction_set.size()) { PQNode* candidate_parent = candidate_node->parent_; candidate_parent->pertinent_leaf_count += candidate_node->pertinent_leaf_count; candidate_parent->pertinent_child_count--; if (candidate_parent->pertinent_child_count == 0) q.push(candidate_parent); if (TemplateL1(candidate_node)) { } else if (TemplateP1(candidate_node, false)) { } else if (TemplateP3(candidate_node)) { } else if (TemplateP5(candidate_node)) { } else if (TemplateQ1(candidate_node)) { } else if (TemplateQ2(candidate_node)) { } else { CleanPseudo(); return false; } } else { if (TemplateL1(candidate_node)) { } else if (TemplateP1(candidate_node, true)) { } else if (TemplateP2(candidate_node)) { } else if (TemplateP4(candidate_node)) { } else if (TemplateP6(candidate_node)) { } else if (TemplateQ1(candidate_node)) { } else if (TemplateQ2(candidate_node)) { } else if (TemplateQ3(candidate_node)) { } else { CleanPseudo(); return false; } } } CleanPseudo(); return true; } void PQTree::CleanPseudo() { if (pseudonode_) { PQNode* last = NULL; PQNode* current = pseudonode_->endmost_children_[0]; while (current) { current->parent_ = NULL; PQNode* next = current->QNextChild(last); last = current; current = next; } for (int i = 0; i < 2; i++) { pseudonode_->endmost_children_[i]->AddImmediateSibling( pseudonode_->pseudo_neighbors_[i]); pseudonode_->pseudo_neighbors_[i]->AddImmediateSibling( pseudonode_->endmost_children_[i]); } pseudonode_->ForgetChildren(); delete pseudonode_; pseudonode_ = NULL; } } PQTree::PQTree(set<int> reduction_set) { root_ = new PQNode; root_->type_ = PQNode::pnode; invalid_ = false; pseudonode_ = NULL; block_count_ = 0; blocked_nodes_ = 0; off_the_top_ = 0; for (set<int>::iterator i = reduction_set.begin(); i != reduction_set.end(); i++) { PQNode* new_node; new_node = new PQNode(*i); leaf_address_[*i] = new_node; new_node->parent_ = root_; new_node->type_ = PQNode::leaf; root_->circular_link_.push_back(new_node); } } PQNode* PQTree::Root() { return root_; } string PQTree::Print() const { string out; root_->Print(&out); return out; } bool PQTree::SafeReduce(set<int> S) { PQTree toCopy(*this); if (!Reduce(S)) { root_ = new PQNode(*toCopy.root_); block_count_ = toCopy.block_count_; blocked_nodes_ = toCopy.blocked_nodes_; off_the_top_ = toCopy.off_the_top_; invalid_ = toCopy.invalid_; leaf_address_.clear(); root_->FindLeaves(leaf_address_); return false; } return true; } bool PQTree::SafeReduceAll(list<set<int>> L) { PQTree toCopy(*this); if (!ReduceAll(L)) { root_ = new PQNode(*toCopy.root_); block_count_ = toCopy.block_count_; blocked_nodes_ = toCopy.blocked_nodes_; off_the_top_ = toCopy.off_the_top_; invalid_ = toCopy.invalid_; leaf_address_.clear(); root_->FindLeaves(leaf_address_); return false; } return true; } bool PQTree::Reduce(set<int> reduction_set) { if (reduction_set.size() < 2) { reductions_.push_back(reduction_set); return true; } if (invalid_) return false; if (!Bubble(reduction_set)) { invalid_ = true; return false; } if (!ReduceStep(reduction_set)) { invalid_ = true; return false; } root_->Reset(); reductions_.push_back(reduction_set); return true; } bool PQTree::ReduceAll(list<set<int>> L) { for (list<set<int>>::iterator S = L.begin(); S != L.end(); S++) { if (!Reduce(*S)) return false; } return true; } list<int> PQTree::Frontier() { list<int> out; root_->FindFrontier(out); return out; } list<set<int>> PQTree::GetReductions() { return reductions_; } PQTree::~PQTree() { delete root_; } using namespace std; int main() { ios::sync_with_stdio(0); int n, m; cin >> n >> m; vector<vector<int>> ddd; for (size_t i = 0; i < m; ++i) { vector<int> g; int k; cin >> k; g.resize(k); for (int& j : g) cin >> j; ddd.push_back(g); } vector<int> o(n); iota(o.begin(), o.end(), 1); set<int> ST{o.begin(), o.end()}; PQTree tree(ST); for (auto g : ddd) { if (!tree.Reduce({g.begin(), g.end()})) { cout << 0; return 0; } } answer = 1; tree.Print(); cout << answer; }
13
#include <bits/stdc++.h> using namespace std; const int inf = 1000000000; long long mod = 1000000007LL; long long mod2 = 998244353LL; long long t, l, r; long long dp[5000005]; long long prm[5000005]; long long pw[5000005]; long long dfs(int x) { if (dp[x] >= 0) return dp[x]; if (x == 1) return dp[x] = 0LL; dp[x] = (long long)x * (long long)(x - 1) / 2LL; dp[x] %= mod; long long i; if (x > 2 && x % 2 == 0) { return dp[x] = (dfs(x / 2) + (2 * (2 - 1) / 2) % mod * (x / 2) % mod) % mod; } int d = prm[x]; if (d < 0) return dp[x]; return dp[x] = (dfs(x / d) + (d * (d - 1) / 2) % mod * (x / d) % mod) % mod; } long long getpw(long long x, long long y) { long long res = 1LL; while (y) { if (y & 1) res = res * x % mod; x = x * x % mod; y /= 2; } return res; } int main() { cin >> t >> l >> r; memset(prm, -1, sizeof(prm)); for (int i = 2; i * i <= r; ++i) { if (prm[i] < 0) { for (int j = 2 * i; j <= r; j += i) { if (prm[j] < 0) prm[j] = i; } } } pw[0] = 1LL; for (int i = 1; i <= r; ++i) { pw[i] = pw[i - 1] * (long long)t % mod; } memset(dp, -1, sizeof(dp)); long long res = 0LL; for (int i = 2; i <= r; ++i) { if (dp[i] < 0) { dfs(i); if (i >= l && i <= r) { long long tmp = dp[i] * pw[i - l] % mod; res = (res + tmp) % mod; } } } cout << res << endl; return 0; }
5
#include <bits/stdc++.h> using namespace std; const int maxint = -1u >> 1; template <class T> bool get_max(T& a, const T& b) { return b > a ? a = b, 1 : 0; } template <class T> bool get_min(T& a, const T& b) { return b < a ? a = b, 1 : 0; } long long n; long long ans = 0; long long coin[40]; int main() { coin[1] = 1; for (int i = 2; i < 40; ++i) { coin[i] = coin[i - 1] * 3; } cin >> n; if (n % 3 == 0) { for (int i = 2; i < 40; ++i) { if (n % coin[i] != 0) { ans = n / coin[i] + 1; break; } } } else { ans = n / 3 + 1; } cout << ans << endl; return 0; }
4
#include <bits/stdc++.h> using namespace std; void init() { std::ios::sync_with_stdio(false); cin.tie(); } long long a, b; long long x[105], y[105], xx, yy; string op; int check(int nowx, int nowy) { long long disx = a - nowx, disy = b - nowy; if (xx == 0 && yy == 0) { if (disx == 0 && disy == 0) return true; else return false; } else if (xx == 0 && yy != 0) { if (disy % yy == 0) { if (disx == 0 && disy / yy >= 0) return true; else return false; } else return false; } else if (xx != 0 && yy == 0) { if (disx % xx == 0) { if (disy == 0 && disx / xx >= 0) return true; else return false; } else return false; } else { if (disx % xx == 0 && disy % yy == 0) { if (disx / xx >= 0 && disy / yy >= 0 && disx / xx == disy / yy) return true; else return false; } else return false; } } int main() { init(); cin >> a >> b >> op; x[0] = y[0] = 0; int pos = 1; for (int i = 0; i < op.length(); ++i, ++pos) { if (op[i] == 'U') { x[pos] = x[pos - 1]; y[pos] = y[pos - 1] + 1; } else if (op[i] == 'D') { x[pos] = x[pos - 1]; y[pos] = y[pos - 1] - 1; } else if (op[i] == 'L') { x[pos] = x[pos - 1] - 1; y[pos] = y[pos - 1]; } else if (op[i] == 'R') { x[pos] = x[pos - 1] + 1; y[pos] = y[pos - 1]; } } xx = x[pos - 1]; yy = y[pos - 1]; for (int i = 0; i < pos; ++i) { if (check(x[i], y[i])) { cout << "Yes"; return 0; } } cout << "No"; return 0; }
4
#include <bits/stdc++.h> using namespace std; int main() { string myName; cin >> myName; int n; cin >> n; map<string, int> factor; string name1, action, temp, name2; for (int i = 0; i < n; i++) { cin >> name1; cin >> action; if (action == "posted" || action == "commented") cin >> temp; cin >> name2; name2 = name2.substr(0, name2.length() - 2); cin >> temp; int val = 5; if (action == "posted") val = 15; else if (action == "commented") val = 10; if (name1 == myName) factor[name2] += val; else factor[name1]; if (name2 == myName) factor[name1] += val; else factor[name2]; } vector<pair<int, string> > ret; for (map<string, int>::iterator it = factor.begin(); it != factor.end(); it++) ret.push_back(make_pair(-it->second, it->first)); sort(ret.begin(), ret.end()); int m = ret.size(); for (int i = 0; i < m; i++) cout << ret[i].second << endl; return 0; }
3
#include <bits/stdc++.h> using namespace std; const double EPS = 1e-8; const int N = 1e5 + 5; struct PT { double x, y; PT(double _x = 0, double _y = 0) : x(_x), y(_y) {} PT operator-(const PT& b) const { return PT(x - b.x, y - b.y); } PT operator+(const PT& b) const { return PT(x + b.x, y + b.y); } PT operator*(const double& k) const { return PT(x * k, y * k); } PT operator/(const double& k) const { return PT(x / k, y / k); } }; double ax[N], ay[N], bx[N], by[N]; double dist(PT a, PT b) { return sqrt((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y)); } double go(PT stA, PT stB, PT vetorA, PT vetorB, double L, double R) { double l = L, r = R; for (int i = 0; i < 50; ++i) { double m1 = l + (r - l) / 3.0; double m2 = r - (r - l) / 3.0; PT onA = stA + (vetorA * m1); PT onB = stB + (vetorB * m1); PT tonA = stA + (vetorA * m2); PT tonB = stB + (vetorB * m2); double d1 = dist(onA, onB); double d2 = dist(tonA, tonB); if (d1 > d2) { l = m1; } else { r = m2; } } return l; } double go2(PT stA, PT stB, PT vetorA, PT vetorB, double L, double R) { double l = L, r = R; for (int i = 0; i < 50; ++i) { double m1 = l + (r - l) / 3.0; double m2 = r - (r - l) / 3.0; PT onA = stA + (vetorA * m1); PT onB = stB + (vetorB * m1); PT tonA = stA + (vetorA * m2); PT tonB = stB + (vetorB * m2); double d1 = dist(onA, onB); double d2 = dist(tonA, tonB); if (d1 < d2) { l = m1; } else { r = m2; } } return l; } int main() { int n; scanf("%d", &n); double d1, d2; scanf("%lf %lf", &d1, &d2); for (int i = 0; i < n; ++i) { scanf("%lf %lf %lf %lf", &ax[i], &ay[i], &bx[i], &by[i]); } double dmax; bool talked = 0; int ans = 0; for (int i = 0; i < n - 1; ++i) { PT a1 = PT(ax[i], ay[i]); PT b1 = PT(bx[i], by[i]); PT a2 = PT(ax[i + 1], ay[i + 1]); PT b2 = PT(bx[i + 1], by[i + 1]); PT vetorA = a2 - a1; PT vetorB = b2 - b1; double t = go(a1, b1, vetorA, vetorB, 0, 1.0); double tm = go2(a1, b1, vetorA, vetorB, 0, t); PT onA = a1 + vetorA * t; PT onB = b1 + vetorB * t; PT tonA = a1 + vetorA * tm; PT tonB = b1 + vetorB * tm; double mn = dist(onA, onB); double mx = dist(tonA, tonB); bool yes = 0; if (talked) { dmax = max(dmax, mx); } if (mn < d1 || (abs(mn - d1) < EPS)) { if (!talked) { talked = 1; dmax = 0; ++ans; yes = 1; } else { if (dmax > d2) { ++ans; dmax = 0; yes = 1; } } } if (yes) { double td = go2(a1, b1, vetorA, vetorB, t, 1.0); onA = a1 + vetorA * td; onB = b1 + vetorB * td; dmax = max(dmax, dist(onA, onB)); } } printf("%d\n", ans); return 0; }
7
#include <bits/stdc++.h> using namespace std; const int INF = int(1e9); const long long INFll = 1ll * INF * INF; const int MOD = 1000000007; const int MAXN = 100005; int n, m, x[1005][1005], a1[1005][1005], a2[1005][1005], b1[1005][1005], b2[1005][1005]; int main() { cin.tie(0); ios_base::sync_with_stdio(0); cin >> n >> m; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) cin >> x[i][j]; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) a1[i][j] = max(a1[i - 1][j], a1[i][j - 1]) + x[i][j]; for (int i = n; i >= 1; --i) for (int j = 1; j <= m; ++j) a2[i][j] = max(a2[i + 1][j], a2[i][j - 1]) + x[i][j]; for (int i = n; i >= 1; --i) for (int j = m; j >= 1; --j) b1[i][j] = max(b1[i + 1][j], b1[i][j + 1]) + x[i][j]; for (int i = 1; i <= n; ++i) for (int j = m; j >= 1; --j) b2[i][j] = max(b2[i - 1][j], b2[i][j + 1]) + x[i][j]; int ans = 0; for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { if (i == 1 || i == n || j == m || j == 1) continue; ans = max(ans, max(a1[i - 1][j] + a2[i][j - 1] + b1[i + 1][j] + b2[i][j + 1], a1[i][j - 1] + a2[i + 1][j] + b1[i][j + 1] + b2[i - 1][j])); } cout << ans << endl; return 0; }
4
#include <bits/stdc++.h> using namespace std; const int MAXN = 2 * 1e5 + 1; int N, maxA, maxB, K, Q, A[MAXN]; int BIT1[MAXN], BIT2[MAXN]; void BIT_U(int ii, int val) { for (int i = ii + 1; i <= N; i += i & -i) BIT1[i] -= min(A[ii], maxB); for (int i = N - ii; i <= N; i += i & -i) BIT2[i] -= min(A[ii], maxA); A[ii] += val; for (int i = ii + 1; i <= N; i += i & -i) BIT1[i] += min(A[ii], maxB); for (int i = N - ii; i <= N; i += i & -i) BIT2[i] += min(A[ii], maxA); } int BIT_Q(int ii) { int ret = 0; for (int i = ii; i; i -= i & -i) ret += BIT1[i]; for (int i = N - ii - K; i; i -= i & -i) ret += BIT2[i]; return ret; } int main() { scanf("%d", &N), scanf("%d", &K); scanf("%d", &maxA), scanf("%d", &maxB); scanf("%d", &Q); memset(A, 0, sizeof(A)); memset(BIT1, 0, sizeof(BIT1)); memset(BIT2, 0, sizeof(BIT2)); for (int q = 0; q < (int)Q; q++) { int t; scanf("%d", &t); if (t == 1) { int d, a; scanf("%d", &d), scanf("%d", &a); BIT_U(d - 1, a); } else { int p; scanf("%d", &p); printf("%d\n", BIT_Q(p - 1)); } } }
4
#include <bits/stdc++.h> using namespace std; pair<int, int> pref[200010], suf[200010]; string s; int X, Y; bool check(pair<int, int> A, pair<int, int> B, int t) { int d = abs(X - (A.first + B.first)) + abs(Y - (A.second + B.second)); if (t >= d && t % 2 == d % 2) return true; return false; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t >> s; cin >> X >> Y; for (int i = 0; i < s.size(); i++) { if (i) pref[i] = pref[i - 1]; if (s[i] == 'U') pref[i].second++; else if (s[i] == 'D') pref[i].second--; else if (s[i] == 'R') pref[i].first++; else pref[i].first--; } suf[0] = pref[t - 1]; for (int i = t - 1; i > 0; i--) { suf[i] = {pref[t - 1].first - pref[i - 1].first, pref[t - 1].second - pref[i - 1].second}; } int ans = t, n = t; if (!check({0, 0}, {0, 0}, t)) { cout << "-1\n"; return 0; } for (int i = 0; i < t - 1; i++) { for (int flag = 0; flag <= 1; flag++) { int l = 0, r = n; while (r - l > 1) { int mid = (r + l) >> 1; int p = n - flag - 2 * mid; if (p <= i) { r = mid; continue; } if (check(pref[i], suf[p], p - i - 1)) { l = mid; } else r = mid; } int p = n - flag - 2 * l; if (p > i && p <= n && check(pref[i], suf[p], p - i - 1)) ans = min(ans, p - i - 1); } } for (int i = 0; i < t; i++) { if (check(pref[i], {0, 0}, t - i - 1)) ans = min(ans, t - i - 1); } for (int i = t - 1; i >= 0; i--) { if (check(suf[i], {0, 0}, i)) ans = min(ans, i); } cout << ans << "\n"; return 0; }
5
#include <bits/stdc++.h> #define int long long #define pii pair<int, int> // #define debug using namespace std; struct Edge { int to, nxt, idx; }; const int MAX_N = 2e5 + 7; Edge e[MAX_N << 1]; map<pii, int> mp; vector<pii> ans; int head[MAX_N << 1], dfn[MAX_N << 1]; bool vis[MAX_N]; int n, tot, cnt, ord; int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } void add(int u, int v, int idx) { e[++cnt].to = v; e[cnt].nxt = head[u]; head[u] = cnt; e[cnt].idx = idx; } int dfs(int u, int fa) { dfn[u] = ++ord; for (int i = head[u]; i; i = e[i].nxt) { int v = e[i].to; if (!dfn[v]) { int res = dfs(v, u); if (res) { ans.push_back(pii(res, e[i].idx)); vis[res] = vis[e[i].idx] = true; } } } int lst = 0; for (int i = head[u]; i; i = e[i].nxt) { if (vis[e[i].idx] || e[i].to == fa) continue; if (lst) {ans.push_back(pii(lst, e[i].idx));vis[lst] = vis[e[i].idx] = true;lst = 0;} else lst = e[i].idx; } return lst; } signed main() { #ifndef debug scanf("%lld", &n); for (int i = 1; i <= n; ++i) { int a, b, c, d; scanf("%lld%lld%lld%lld", &a, &b, &c, &d); int up = c * b, dn = d * (a + b); int _gcd = gcd(up, dn); pii u1(up / _gcd, dn / _gcd); up = (c + d) * b, dn = a * d; _gcd = gcd(up, dn); pii u2(up / _gcd, dn / _gcd); if (!mp.count(u1)) { ++tot; mp[u1] = tot; } if (!mp.count(u2)) { ++tot; mp[u2] = tot; } int u = mp[u1], v = mp[u2]; add(u, v, i), add(v, u, i); } #endif #ifdef debug int m; scanf("%lld%lld", &tot, &m); for (int i = 1; i <= m; ++i) { int u, v, id; scanf("%lld%lld%lld", &u, &v, &id); add(u, v, id), add(v, u, id); } #endif for (int i = 1; i <= tot; ++i) { if (!dfn[i]) dfs(i, 0); } #ifdef debug // dfs(1, 0); for (int i = 1; i <= tot; ++i) { printf("%lld: %lld\n", i, dfn[i]); } #endif printf("%lld\n", ans.size()); for (auto p : ans) { printf("%lld %lld\n", p.first, p.second); } return 0; }
9
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 100; const int mod = 1e9 + 7; const int inf = 1e9; struct node { int mx, sl, sr, ml, mr, sz; node() { sz = 0; return; } }; int n, q; node seg[2][maxn * 4]; node ndnl = node(); bool lz[maxn * 4]; string st; node mrg(node l, node r) { node a; if (l.sz == 0) return r; if (r.sz == 0) return l; a.sz = l.sz + r.sz; a.mx = max(max(l.mx, r.mx), max(l.mr + r.sl, l.sr + r.ml)); a.sr = r.sr; if (r.sr == r.sz) a.sr += l.sr; a.sl = l.sl; if (l.sl == l.sz) a.sl += r.sl; a.ml = l.ml; if (l.ml == l.sz) a.ml += r.sl; if (l.sr == l.sz) a.ml = max(a.ml, l.sr + r.ml); a.mr = r.mr; if (r.mr == r.sz) a.mr += l.sr; if (r.sl == r.sz) a.mr = max(a.mr, r.sl + l.mr); return a; } void bld(int id, int s, int e) { if (e - s == 1) { seg[0][id].sz = 1; seg[0][id].mx = 1; seg[0][id].ml = 1; seg[0][id].mr = 1; seg[1][id].sz = 1; seg[1][id].mx = 1; seg[1][id].ml = 1; seg[1][id].mr = 1; if (st[s] == '<') { seg[0][id].sl = 1; seg[0][id].sr = 0; seg[1][id].sl = 0; seg[1][id].sr = 1; } else { seg[1][id].sl = 1; seg[1][id].sr = 0; seg[0][id].sl = 0; seg[0][id].sr = 1; } return; } int mid = (s + e) / 2; bld(id * 2, s, mid); bld(id * 2 + 1, mid, e); seg[0][id] = mrg(seg[0][id * 2], seg[0][id * 2 + 1]); seg[1][id] = mrg(seg[1][id * 2], seg[1][id * 2 + 1]); return; } void upd(int id, int s, int e, int l, int r) { if (r <= s || e <= l) return; if (l <= s && e <= r) { swap(seg[0][id], seg[1][id]); lz[id] = !lz[id]; return; } int mid = (s + e) / 2; if (lz[id]) { swap(seg[0][id * 2], seg[1][id * 2]); lz[id * 2] = !lz[id * 2]; swap(seg[0][id * 2 + 1], seg[1][id * 2 + 1]); lz[id * 2 + 1] = !lz[id * 2 + 1]; lz[id] = 0; } upd(id * 2, s, mid, l, r); upd(id * 2 + 1, mid, e, l, r); seg[0][id] = mrg(seg[0][id * 2], seg[0][id * 2 + 1]); seg[1][id] = mrg(seg[1][id * 2], seg[1][id * 2 + 1]); return; } node get(int id, int s, int e, int l, int r) { if (r <= s || e <= l) { return ndnl; } if (l <= s && e <= r) { return seg[0][id]; } int mid = (s + e) / 2; if (lz[id]) { swap(seg[0][id * 2], seg[1][id * 2]); lz[id * 2] = !lz[id * 2]; swap(seg[0][id * 2 + 1], seg[1][id * 2 + 1]); lz[id * 2 + 1] = !lz[id * 2 + 1]; lz[id] = 0; } node p = mrg(get(id * 2, s, mid, l, r), get(id * 2 + 1, mid, e, l, r)); return p; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); ; int l, r; cin >> n >> q >> st; bld(1, 0, n); for (int i = 0; i < q; i++) { cin >> l >> r; upd(1, 0, n, l - 1, r); cout << get(1, 0, n, l - 1, r).mx << '\n'; } return 0; }
10
#include <bits/stdc++.h> using namespace std; int sum1, sum2; int n, e, d; int a[1] = {1}; int b[1] = {5}; int main() { ios::sync_with_stdio(false); cin >> n >> d >> e; e = e * 5; int ans = n; for (int i = 0; i <= (n / d); i++) { ans = min(ans, (n - i * d) % e); } printf("%d\n", ans); }
3
#include <bits/stdc++.h> using namespace std; const long long MX = 3e5 + 9, inf = 1e14 + 6; long long n, m, a[30][30], dp[(1 << 21)], N; string s[30]; long long bit(long long mask) { for (int i = 0; i < n; i++) if (mask & (1 << i)) return i; } long long solve(long long mask) { long long &ret = dp[mask]; if (ret != -1) return ret; if (!mask) return 0; ret = inf; long long x = bit(mask); for (int i = 0; i < m; i++) { char c = s[x][i]; long long mask1 = mask; long long mx = 0; long long cost = 0; for (int j = 0; j < n; j++) { if (s[j][i] == c) { mx = max(mx, a[j][i]); cost += a[j][i]; if (mask1 & (1 << j)) mask1 ^= (1 << j); } } ret = min(ret, cost - mx + solve(mask1)); ret = min(ret, a[x][i] + solve(mask ^ (1 << x))); } return ret; } int main() { cin >> n >> m; for (int i = 0; i < n; i++) cin >> s[i]; for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { cin >> a[i][j]; } } N = (1 << n) - 1; memset(dp, -1, sizeof(dp)); cout << solve(N) << endl; }
8
#include <bits/stdc++.h> using namespace std; int tree[800010][2]; int a[200010][2]; int n; void build(int idx, int l, int r) { if (l == r) { tree[idx][0] = a[l][0]; tree[idx][1] = a[l][1]; return; } int mid = (l + r) / 2; build(idx * 2 + 1, l, mid); build(idx * 2 + 2, mid + 1, r); tree[idx][0] = max(tree[idx * 2 + 1][0], tree[idx * 2 + 2][0]); tree[idx][1] = min(tree[idx * 2 + 1][1], tree[idx * 2 + 2][1]); } pair<int, int> get(int idx, int l, int r, int A, int B) { if (l > B || r < A) return {-1e9 - 1, 1e9 + 1}; if (A >= l && B <= r) return {tree[idx][0], tree[idx][1]}; int mid = (A + B) / 2; pair<int, int> p1, p2; p1 = get(idx * 2 + 1, l, r, A, mid); p2 = get(idx * 2 + 2, l, r, mid + 1, B); return {max(p1.first, p2.first), min(p1.second, p2.second)}; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n; for (int j = 0; j < 2; j++) for (int i = 0; i < n; i++) cin >> a[i][j]; build(0, 0, n - 1); long long ans = 0; int l, r, m; pair<int, int> p; int idx, idx2; for (int i = 0; i < n; i++) { l = i, r = n - 1; idx = -1; idx2 = -1; while (l <= r) { m = (l + r) / 2; p = get(0, i, m, 0, n - 1); if (p.first > p.second) r = m - 1; else if (p.first < p.second) l = m + 1; else l = m + 1, idx = m; } l = i, r = n - 1; while (l <= r) { m = (l + r) / 2; p = get(0, i, m, 0, n - 1); if (p.first > p.second) r = m - 1; else if (p.first < p.second) l = m + 1; else r = m - 1, idx2 = m; } if (idx != -1) ans += idx - idx2 + 1; } cout << ans; return 0; }
6
#include <bits/stdc++.h> using namespace std; string transform(int x, int y, string s) { string res = ""; int sum = 0; for (int i = 0; i < s.length(); ++i) { if (s[i] == '-') continue; if (s[i] >= '0' && s[i] <= '9') { sum = sum * x + s[i] - '0'; } else { sum = sum * x + s[i] - 'A' + 10; } } while (sum) { char tmp = sum % y; sum /= y; if (tmp <= 9) { tmp += '0'; } else { tmp = tmp - 10 + 'A'; } res = tmp + res; } if (res.length() == 0) res = "0"; if (s[0] == '-') res = '-' + res; return res; } int b[16] = {1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0}; int main() { string s; while (cin >> s) { string res = transform(10, 16, s); int len = res.length(); long long ans = 0; for (int i = 0; i < len; i++) { if (res[i] <= '9' && res[i] >= '0') ans += b[res[i] - '0']; else ans += b[res[i] - 'A' + 10]; } cout << ans << endl; } return 0; }
6
#include <bits/stdc++.h> using namespace std; const long long INF = 1e6; const int N = 100005; int s, k, v; vector<int> x, y, z; void operate(int id, vector<int>& a, int& tt) { swap(a[id], a[id + 2]); swap(a[id + 1], a[id + 2]); if (tt == id) { tt += 2; return; } if (tt == id + 1) { tt += 1; return; } if (tt == id + 2) { tt -= 2; return; } } int main() { auto make = [](vector<int>& a, int pos) { swap(a[pos + 1], a[pos + 2]); swap(a[pos], a[pos + 1]); }; int t; cin >> t; while (t--) { int n; cin >> n; vector<int> a(n); int sig = 0; vector<pair<int, int>> res(n), secure(n); for (int i = 0; i < n; ++i) { cin >> a[i]; res[i] = {a[i], i}; secure[i] = {a[i], i}; } if (res[0].first == 249) sig = 1; sort(res.begin(), res.end()); for (int i = 0; i < n; ++i) { a[res[i].second] = i; } int cnt = 0; if (sig) for (int i = 0; i < n; ++i) for (int j = i + 1; j < n; ++j) if (a[i] > a[j] && secure[i].first == secure[j].first) cout << "WRONG HERE AT i, secure[i]=" << i << " " << secure[i].first << "\n"; for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { cnt += a[j] < a[i]; } } if (cnt & 1) { for (int i = 0; i < n - 1; ++i) { if (res[i].first == res[i + 1].first) { swap(a[res[i].second], a[res[i + 1].second]); break; } } } vector<int> ans; for (int i = 0; i < n - 2; ++i) { int pos = min_element(a.begin() + i, a.end()) - a.begin(); while (pos > i + 1) { make(a, pos - 2); ans.push_back(pos - 2); pos -= 2; } if (pos != i) { make(a, i); make(a, i); ans.push_back(i); ans.push_back(i); pos = i; } } for (int i = 0; i < 2; ++i) { if (is_sorted(a.begin(), a.end())) { break; } make(a, n - 3); ans.push_back(n - 3); } if (!is_sorted(a.begin(), a.end())) { cout << -1 << endl; } else { cout << ans.size() << endl; for (auto it : ans) cout << it + 1 << " "; cout << endl; } } return 0; }
4
#include <bits/stdc++.h> using namespace std; long long int n, m, a, b; long long int fn(vector<vector<long long int>> &A, long long int mid) { long long int i, j; vector<long long int> mask((1 << m), -1); for (i = 0; i < n; i++) { long long int ans = 0; for (j = 0; j < m; j++) { if (A[i][j] >= mid) ans = ans ^ (1 << j); } mask[ans] = i + 1; } if (mask[(1 << m) - 1] != -1) { a = mask[(1 << m) - 1]; b = mask[(1 << m) - 1]; return (1); } for (i = 0; i < (1 << m); i++) { for (j = 0; j < (1 << m); j++) { if (mask[i] != -1 && mask[j] != -1 && (i | j) == (1 << m) - 1) { a = mask[i]; b = mask[j]; return (1); } } } return (0); } int main() { ios_base::sync_with_stdio(false); cout.tie(NULL); cin.tie(NULL); long long int i, j, low = 1e11, mid, high = -1; cin >> n >> m; vector<vector<long long int>> A(n); vector<long long int> temp(m); for (i = 0; i < n; i++) { for (j = 0; j < m; j++) { cin >> temp[j]; high = max(high, temp[j]); low = min(low, temp[j]); } A[i] = temp; } while (low <= high) { mid = (low + high) / 2; if (fn(A, mid) == 1) low = mid + 1; else high = mid - 1; } cout << a << " " << b; return (0); }
6
#include <bits/stdc++.h> using namespace std; using namespace std; signed main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long int n; cin >> n; cout << pow(n - 1, 2) * 2 + 2 * n - 1; }
0
#include <bits/stdc++.h> #pragma comment(linker, "/stack:200000000") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("unroll-loops") using namespace std; template <typename T> constexpr int infValue = std::is_same<T, int>::value ? 2000100007 : 8600000000000000007ll; template <typename T> constexpr int maxValue = std::is_same<T, int>::value ? 1000000007 : 1000000000000000001ll; const int INF = infValue<int>; const long long MOD = 1000000007ll; const double EPS = 1e-6; const int MAX = maxValue<int>; int n, m, pd = 1; int d[300111]; bool p[300111]; vector<pair<int, int>> g[300111]; vector<int> answ; bool u[300111]; bool dfs(int v) { u[v] = true; for (auto to : g[v]) { if (!u[to.first]) { if (dfs(to.first)) { p[v] ^= 1; answ.push_back(to.second); } } } if (d[v] == 1 && !p[v]) return true; if (!d[v] && p[v]) return true; return false; } int main(void) { scanf("%d %d", &n, &m); for (register int i = 1; i <= n; ++i) { scanf("%d", d + i); if (d[i] < 0) pd = i; } int u, v; for (register int i = 1; i <= m; ++i) scanf("%d %d", &u, &v), g[u].push_back({v, i}), g[v].push_back({u, i}), p[v] ^= 1, p[u] ^= 1; if (dfs(pd)) puts("-1"); else { printf("%d\n", m - answ.size()); sort(answ.begin(), answ.end()); for (int i = 1, j = 0; i <= m; ++i) { if (j < answ.size() && answ[j] == i) { ++j; continue; } printf("%d\n", i); } } return 0; }
6
#include <bits/stdc++.h> using namespace std; int main() { int n, count = 0, index = 0; string s; cin >> n >> s; if (n == 1) { cout << "YES" << endl; cout << s << endl; return 0; } else if (s.length() < n) { cout << "NO" << endl; return 0; } string *ans = new string[n]; int alphabets[26] = {0}; char prev = s[index]; alphabets[prev - 97] = 1; ans[count++] = prev; index++; do { char prev = s[index]; if (alphabets[prev - 97] == 1) { ans[count - 1] += s[index]; index++; } else { alphabets[prev - 97] = 1; ans[count] += prev; index++; count++; } } while (count != n && index != s.length()); if (count < n) { cout << "NO" << endl; } else { cout << "YES" << endl; while (index <= s.length() - 1) ans[n - 1] += s[index++]; for (int i = 0; i < n; i++) { cout << ans[i] << endl; } } return 0; }
1
#include <bits/stdc++.h> using namespace std; std::mt19937 rng( (int)std::chrono::steady_clock::now().time_since_epoch().count()); const int MOD = 1000000007; const int MAXN = 200010; pair<int, int> v[MAXN]; pair<int, int> va[MAXN]; int n, m; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> m; for (int i = 0; i < m; i++) { cin >> v[i].first >> v[i].second; if (v[i].first > v[i].second) swap(v[i].first, v[i].second); } sort(v, v + m); for (int i = 1; i < n; i++) { if ((n % i) == 0) { for (int j = 0; j < m; j++) { va[j] = {v[j].first + i, v[j].second + i}; if (va[j].first > n) va[j].first -= n; if (va[j].second > n) va[j].second -= n; if (va[j].first > va[j].second) swap(va[j].first, va[j].second); } sort(va, va + m); bool igual = true; for (int j = 0; j < m; j++) { if (v[j] != va[j]) { igual = false; break; } } if (igual) { cout << "Yes" << '\n'; return 0; } } } cout << "No" << '\n'; return 0; }
5
#include <bits/stdc++.h> using namespace std; const long long inf = 1LL << 28; const long long mod = 1LL; char arr[210][210]; long long par[210]; bool col[210]; vector<long long> adj[210]; bool dfs(long long u) { if (col[u]) return false; long long i, k, v; k = (int)adj[u].size(); for (i = 0; i < k; i++) { v = adj[u][i]; if (col[v] == 0) { col[v] = 1; if (par[v] == -1 || dfs(par[v])) { par[v] = u; return true; } } } return false; } long long BPM(long long n) { long long i, j, ret = 0; for (i = 0; i <= 200; i++) par[i] = -1; for (i = 1; i <= n; i++) { for (j = 0; j <= 200; j++) col[j] = 0; if (dfs(i)) ret++; } return ret; } int main() { long long n, i, j, k, l; while (cin >> n) { for (i = 0; i < n; i++) adj[i].clear(), scanf(" %s", arr[i]); k = 0; for (i = 0; i < n; i++) { for (j = 0; j < n; j++) if (arr[i][j] == '.') { adj[i].push_back(j); k++; break; } } if (k == n) { for (i = 0; i < n; i++) printf("%I64d %I64d\n", i + 1, adj[i][0] + 1); return 0; } k = 0; for (i = 0; i <= n; i++) adj[i].clear(); for (i = 0; i < n; i++) { for (j = 0; j < n; j++) if (arr[j][i] == '.') { adj[i].push_back(j); k++; break; } } if (k == n) { for (i = 0; i < n; i++) printf("%I64d %I64d\n", adj[i][0] + 1, i + 1); return 0; } printf("-1\n"); } return 0; }
3
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n, m; cin >> n >> m; vector<pair<double, int> > PR(n); for (int i = 0; i < n; i++) { cin >> PR[i].second >> PR[i].first; } sort(PR.begin(), PR.end()); vector<int> S(n); for (int i = 0; i < n; i++) { S[i] = PR[i].second; } vector<int> O; for (int i = 0; i < n; i++) { auto it = upper_bound(O.begin(), O.end(), S[i]); if (it == O.end()) { O.push_back(S[i]); } else { int index = it - O.begin(); O[index] = S[i]; } } cout << n - O.size(); return 0; }
4
#include <bits/stdc++.h> using namespace std; const int N = 1550; int in[N]; int main() { int n; scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", in + i); map<int, vector<pair<int, int>>> mp; for (int r = 0; r < n; ++r) { int s = 0; for (int l = r; l >= 0; l--) { s += in[l]; mp[s].emplace_back(l, r); } } int sum = 0, best = 0; for (const auto& it : mp) { const auto& v = it.second; int cur = 0; int l = -1; for (auto& x : v) { if (x.first > l) { l = x.second; cur++; } } if (cur > best) { best = cur; sum = it.first; } } vector<pair<int, int>> ans; int l = -1; for (const auto& it : mp[sum]) { if (it.first > l) { l = it.second; ans.emplace_back(it.first, it.second); } } cout << ans.size() << endl; for (const auto& x : ans) printf("%d %d\n", x.first + 1, x.second + 1); }
5
#include <bits/stdc++.h> using namespace std; const int N = 100002; int n, k; int v[N]; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int main(void) { scanf("%d%d", &n, &k); for (int(i) = (0); (i) < (n); ++(i)) { scanf("%d", &v[i]); } for (int(i) = (1); (i) < (n); ++(i)) { if ((v[i] - v[i - 1]) % k != 0) { printf("-1\n"); return 0; } } int menor = 1000000009; for (int(i) = (0); (i) < (n); ++(i)) { menor = min(menor, v[i]); } long long res = 0; for (int(i) = (0); (i) < (n); ++(i)) { res += ((long long)(v[i] - menor)) / k; } cout << res << endl; return 0; }
0
#include <bits/stdc++.h> using namespace std; int main() { int q; cin >> q; long long int a, b, c; while (q--) { cin >> a >> b >> c; cout << (a + b + c) / 2 << "\n"; } return 0; }
0
#include <bits/stdc++.h> template <class Class> void Print(Class instance) { std::cout << instance << std::endl; } void Print() { std::cout << std::endl; } int main() { std::ios_base::sync_with_stdio(false); auto& input = std::cin; auto& output = std::cout; size_t n, k; input >> n >> k; std::set<int32_t> numbers; for (size_t index = 0; index < n; ++index) { int32_t number; input >> number; numbers.insert(number); } int32_t cur = 0; for (size_t index = 0; index < k; ++index) { auto min_it = numbers.begin(); if (min_it == numbers.end()) { output << 0 << std::endl; } else { output << *min_it - cur << std::endl; cur = *min_it; numbers.erase(min_it); } } return 0; }
1
#include <bits/stdc++.h> using namespace std; const long long maxn = 2e5 + 7; struct Node { long long x, y; } node[maxn]; bool cmp(Node a, Node b) { return a.x < b.x; } long long n, k; long long len[maxn]; int32_t main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int t; cin >> t; while (t--) { cin >> n >> k; for (int i = 0; i < n; i++) cin >> node[i].x; for (int i = 0; i < n; i++) cin >> node[i].y; sort(node, node + n, cmp); long long tarl, tarr; for (tarr = tarl = 0; tarr < n; tarr++) { while (node[tarl].x < node[tarr].x - k) tarl++; len[tarr] = tarr - tarl + 1; } long long ans = 0, Max = 0; for (tarr = tarl = 0; tarr < n; tarr++) { while (node[tarl].x < node[tarr].x - k) { Max = max(Max, len[tarl]); tarl++; } ans = max(Max + len[tarr], ans); } cout << ans << endl; for (int i = 0; i < n; i++) len[i] = 0; } }
5
#include <bits/stdc++.h> using namespace std; vector<int> lps; bool cmp(pair<pair<int, int>, int> p1, pair<pair<int, int>, int> p2) { if (p1.first.second != p2.first.second) return p1.first.second > p2.first.second; else return p1.first.first > p2.first.first; } long long gcd(long long a, long long b) { if (a % b == 0) return b; else return gcd(b, a % b); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; long long m, b; cin >> m >> b; long long lo = 0; long long hi = b; while (lo < hi) { long long l1 = lo + (hi - lo) / 3; long long l2 = lo + (2 * (hi - lo)) / 3; if (hi - lo == 2) { l1 = lo; l2 = lo + 1; } if (hi - lo == 1) l2 = hi; long long x1 = m * (b - l1); long long x2 = m * (b - l2); long long cnt1 = -1, cnt2 = -1; if (x1 >= 0) { cnt1 = ((x1 * (x1 + 1)) / 2) * (l1 + 1) + ((l1 * (l1 + 1)) / 2) * (x1 + 1); } if (x2 > 0) { cnt2 = ((x2 * (x2 + 1)) / 2) * (l2 + 1) + ((l2 * (l2 + 1)) / 2) * (x2 + 1); } if (cnt1 > cnt2) { hi = l2 - 1; } else { lo = l1 + 1; } } long long x = m * (b - lo); long long cnt = ((x * (x + 1)) / 2) * (lo + 1) + ((lo * (lo + 1)) / 2) * (x + 1); cout << cnt; return 0; }
2
#include <bits/stdc++.h> using namespace std; int cont[1009], a[1009], b[10050]; void fun() { for (int i = 2; i * i <= 1000 + 1; i++) { if (cont[i] == 0) { for (int j = 2; i * j <= 1000 + 1; j++) { cont[i * j] = 1; } } } } int main() { fun(); int n, l = 1; scanf("%d", &n); if (n == 1) { printf("0"); } else { for (int j = 2; j <= 33; j++) { for (int i = 2; i <= 10; i++) { if (cont[j] != 0) { break; } int num = powl(j, i); if (num > 1000) { break; } b[num] = 1; } } for (int i = 2; i <= n; i++) { if (cont[i] == 0 || b[i] == 1) { a[l] = i; l++; continue; } } printf("%d\n", l - 1); for (int i = 1; i < l; i++) { printf("%d ", a[i]); } } return 0; }
3