solution
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#include <bits/stdc++.h> using namespace std; double a, b, c, a1, a2, mini; int n, i, j; int main() { cin >> a >> b >> c; if (!a && !b) { if (!c) cout << "-1"; else cout << "0"; return 0; } if (!a) { a1 = (-c) / b; printf("1\n%lf", a1); return 0; } if ((b * b < (4 * a * c))) { cout << "0"; return 0; } a1 = (-b + sqrt(b * b - (4 * c * a))) / (2 * a); a2 = (-b - sqrt(b * b - (4 * c * a))) / (2 * a); if (a1 == a2) printf("1\n%lf", a1); else { mini = a1 > a2 ? a2 : a1; a1 = a1 + a2 - mini; printf("2\n%lf\n%lf", mini, a1); } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; double a, b, c; int main() { ios_base::sync_with_stdio(0); cin.tie(0); scanf("%lf%lf%lf", &a, &b, &c); if (a == 0) { if (b == 0 && c == 0) cout << -1; else if (b == 0) cout << 0 << endl; else printf("1\n%.10lf", -c / b); } else { double d = b * b - 4 * a * c; if (d < 0) cout << 0; else if (d > 0) { double d1 = (-b + sqrt(d)) / (2 * a); double d2 = (-b - sqrt(d)) / (2 * a); cout << 2 << endl; if (d1 > d2) printf("%.10lf\n%.10lf", d2, d1); else printf("%.10lf\n%.10lf", d1, d2); } else { printf("1\n%.10lf", -b / (2 * a)); } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { float a, b, c; cin >> a >> b >> c; float d = (b * b - 4 * a * c); if (a == 0) { if (b == 0) { if (c == 0) cout << -1 << endl; else cout << 0 << endl; } else cout << 1 << endl << fixed << setprecision(6) << -c / b << endl; } else { if (d == 0) { cout << 1 << endl; cout << fixed << setprecision(6) << -b / (2 * a) << endl; } else { if (d < 0) cout << 0 << endl; else { d = sqrt(b * b - 4 * a * c); cout << 2 << endl; float x = (-b - d) / (2 * a); float y = (-b + d) / (2 * a); cout << fixed << setprecision(6) << min(x, y) << endl; cout << fixed << setprecision(6) << max(x, y) << endl; } } } }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c, d; double x1, x2; cin >> a >> b >> c; if (a == 0) { if (b == 0) { if (c == 0) cout << -1 << endl; else cout << 0 << endl; } else printf("1\n%f\n", -1 * c / b); } else { d = b * b - 4 * a * c; if (d < 0) cout << 0 << endl; else { x1 = (-1 * b - sqrt(d)) / (2.0 * a); x2 = (-1 * b + sqrt(d)) / (2.0 * a); if (x1 > x2) { double temp = x1; x1 = x2; x2 = temp; } if (x1 != x2) printf("2\n%f\n%f\n", x1, x2); else printf("1\n%f\n", x1); } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; long double x = 0, y = 0, l = 0; long long int a = 0, b, c; int main() { cin >> a >> b >> c; x = (b * b) - (4 * a * c); if (a == 0 && b == 0 && c == 0) { cout << -1; return 0; } if (a == 0 && b == 0) { cout << 0; return 0; } cout.precision(6); cout << fixed; if (a == 0) { x = -c; x /= b; cout << 1 << endl; cout << x; return 0; } if (x < 0) { cout << 0; return 0; } if (x == 0) { cout << 1 << endl; x = -b; x /= 2 * a; cout << x << endl; return 0; } else { cout << 2 << endl; y = -b + sqrt(x); y /= (2 * a); l = -b - sqrt(x); l /= (2 * a); if (y > l) swap(y, l); cout << y << endl; cout << l << endl; } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { long long a, b, c; cin >> a >> b >> c; long long DIS = (b * b) - (4 * a * c); if ((a == 0 and b == 0 and c == 0)) cout << -1 << endl; else if (DIS < 0 or (a == 0 and b == 0)) cout << 0 << endl; else if (a == 0) printf("1\n%.10lf\n", (double)-c / b); else { double x = (double)(-b + (double)sqrt(DIS)) / (2 * a); double y = (double)(-b - (double)sqrt(DIS)) / (2 * a); if (y == 0 and x == 0) printf("1\n%.10lf\n", 0.0); else { set<double> st; st.insert(x); st.insert(y); cout << st.size() << endl; for (set<double>::iterator it = st.begin(); it != st.end(); it++) printf("%.10lf\n", *it); } } }
8
CPP
#include <bits/stdc++.h> using namespace std; double a, b, c; int main() { while (scanf("%lf%lf%lf", &a, &b, &c) != EOF) { double jd = b * b - 4 * a * c; if (a == 0) { if (b == 0) printf("%d\n", c == 0 ? -1 : 0); else printf("1\n%.10lf\n", (double)-c / (double)b); } else if (jd < 0) printf("0\n"); else if (jd == 0) printf("1\n%.10lf\n", (double)-b / (double)(2 * a)); else { double sq = sqrt(jd); double f1 = (-b - sq) / (2 * a); double f2 = (-b + sq) / (2 * a); if (f1 > f2) printf("2\n%.10lf\n%.10lf\n", f2, f1); else printf("2\n%.10lf\n%.10lf\n", f1, f2); } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; while (~scanf("%lf%lf%lf", &a, &b, &c)) { if (a == 0 && b == 0) if (c == 0) puts("-1"); else puts("0"); else if (a == 0 && c == 0) puts("1\n0"); else if (b == 0 && c == 0) puts("1\n0"); else if (a == 0) printf("1\n%.10lf\n", -c / b); else { double tem = b * b - 4 * a * c; if (tem < 0) printf("0\n"); else if (tem == 0) printf("1\n%.10lf\n", -b / (a * 2)); else { double x1, x2; x1 = (-b - sqrt(tem)) / (a * 2); x2 = (-b + sqrt(tem)) / (a * 2); if (x1 > x2) swap(x1, x2); printf("2\n%.10lf\n%.10lf\n", x1, x2); } } } return 0; }
8
CPP
a, b, c = map(int, input().split()) t = [1, -c / b] if b else [-(c == 0)] if a: d, x = b * b - 4 * a * c, -2 * a if d: t = [0] if d < 0 else [2] + sorted([(b - d ** 0.5) / x, (b + d ** 0.5) / x]) else: t = [1, b / x] print(*t)
8
PYTHON3
from math import sqrt a, b, c = map(int, input().split()) if a == 0 and b == 0: if c == 0: print(-1) else: print(0) elif a == 0: print(1) print('{0:.10f}'.format(-(c/b))) else: delta = (b**2) - (4 * a * c) if delta > 0: print(2) x1 = (-b + sqrt(delta)) / (2*a) x2 = (-b - sqrt(delta)) / (2*a) if x1 > x2: x1, x2 = x2, x1 print('{0:.10f}'.format(x1)) print('{0:.10f}'.format(x2)) elif delta == 0: print(1) x1 = (-b) / (2*a) print('{0:.10f}'.format(x1)) else: print(0)
8
PYTHON3
import math nl = list(input().split(' ')) a = int(nl[0]) b = int(nl[1]) c = int(nl[2]) if a == 0 and b == 0: if c != 0: print(0) exit() print(-1) exit() if a == 0: print(1) print("%10.5f" % (-c/b)) exit() sqrt = b*b - 4*a*c if sqrt == 0: print(1) print("%10.5f" % (-b/2/a)) elif sqrt < 0: print(0) else: print(2) roots = [(math.sqrt(sqrt)-b)/2/a, (-math.sqrt(sqrt)-b)/2/a] roots.sort() print("%10.5f" % roots[0]) print("%10.5f" % roots[1])
8
PYTHON3
from math import sqrt a, b, c = map(int, input().split()) disc = b * b - 4 * a * c if a == 0 and b == 0 and c == 0: print(-1) elif a == 0 and b == 0 or disc < 0: print(0) elif a == 0: print(1) # y = bx + c # -c / b print(-c / b) elif disc == 0: print(1) print(-b / 2 / a) else: print(2) res = [(-b - sqrt(disc)) / (2.0 * a), (-b + sqrt(disc)) / (2.0 * a)] res.sort() print('{:7f}'.format(res[0])) print('{:7f}'.format(res[1]))
8
PYTHON3
#include <bits/stdc++.h> using namespace std; bool SR(int &x) { return scanf("%d", &x) == 1; } bool SR(long long &x) { return scanf("%lld", &x) == 1; } bool SR(double &x) { return scanf("%lf", &x) == 1; } bool SR(char *s) { return scanf("%s", s) == 1; } bool RI() { return true; } template <typename I, typename... T> bool RI(I &x, T &...tail) { return SR(x) && RI(tail...); } void SP(const int x) { printf("%d", x); } void SP(const long long x) { printf("%lld", x); } void SP(const double x) { printf("%.16lf", x); } void SP(const char *s) { printf("%s", s); } void PL() { puts(""); } template <typename I, typename... T> void PL(const I x, const T... tail) { SP(x); if (sizeof...(tail)) putchar(' '); PL(tail...); } int ar[3]; void read() { for (int i = 0; i < int(3); i++) RI(ar[i]); } void build() {} void sol0(int a) { if (a == 0) PL(-1); else PL(0); } void sol1(int a, int b) { PL(1); PL((0.0 - b) / a); } void sol2(long long a, long long b, long long c) { long long d = b * b - 4 * a * c; if (d < 0) PL(0); else if (d == 0) { PL(1); PL((0.0 - b) / (2 * a)); } else { double p = sqrt(d); vector<double> v; v.push_back((-b + p) / (2 * a)); v.push_back((-b - p) / (2 * a)); sort(begin(v), end(v)); PL(2); for (auto x : v) PL(x); } } void sol() { if (ar[0] == 0 && ar[1] == 0) sol0(ar[2]); else if (ar[0] == 0) sol1(ar[1], ar[2]); else sol2(ar[0], ar[1], ar[2]); } int main() { read(); build(); sol(); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; using ll = long long; using pii = pair<int, int>; const int INF32 = INT_MAX; const ll INF64 = ((ll)INF32 << 29ll); void reflex() { ios_base::sync_with_stdio(false); cin.tie(nullptr), cout.tie(nullptr); } signed main() { reflex(); using ld = long double; ld a, b, c; cin >> a >> b >> c; cout << setprecision(10) << fixed; if (!a && !b && !c) cout << -1, exit(false); if (!a) { if (!b) cout << 0; else cout << "1\n" << (ld)(-c / b); return false; } ld d = (b * 1ll * b) - (4 * 1ll * a * c); if (d < 0) cout << 0, exit(false); d = (ld)sqrt(d); ld x = (-b + d) / (a * 2ll); ld y = (-b - d) / (a * 2ll); if (d > 0) { if (x > y) swap(x, y); cout << "2\n" << x << "\n" << y; } else cout << "1\n" << x; return false; }
8
CPP
#include <bits/stdc++.h> using namespace std; double a, b, c; int main() { cin >> a >> b >> c; if (a == 0 && b == 0 && c == 0) { cout << "-1" << endl; return 0; } if (a == 0) { if (b == 0) cout << "0" << endl; else { cout << "1" << endl; double x = -c / b; cout.precision(6); cout << fixed << x << endl; } } else { double d = b * b - 4 * a * c; if (d < 0) cout << '0'; else if (d == 0) { cout << '1' << endl; double x11 = -b / (2 * a); cout.precision(6); cout << fixed << x11 << endl; } else { cout << '2' << endl; double x11 = (-sqrt(d) - b) / (2 * a); double x22 = (sqrt(d) - b) / (2 * a); cout.precision(6); cout << fixed << min(x11, x22) << endl; cout.precision(6); cout << fixed << max(x11, x22) << endl; } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c, det, x1, x2; while (scanf("%lf%lf%lf", &a, &b, &c) != EOF) { if (a == 0 && b == 0) { if (c == 0) puts("-1"); else puts("0"); continue; } if (a == 0) { x1 = -1.0 * c / b; if (x1 == -0.0) x1 = 0.0; printf("1\n%lf\n", x1); continue; } det = b * b - 4.0 * a * c; if (det < 0) { puts("0"); continue; } if (det == 0) { x1 = -0.5 * b / a; printf("1\n%lf\n", x1); continue; } if (det > 0) { x1 = 0.5 * (-b + sqrt(det)) / a; x2 = 0.5 * (-b - sqrt(det)) / a; if (x1 > x2) swap(x1, x2); printf("2\n%lf\n%lf\n", x1, x2); } } }
8
CPP
import sys import collections import random sys.setrecursionlimit(30000) def main(): a,b,c = [float(it) for it in input().split()] if a == 0: if b == 0: if c == 0: sys.stdout.write('-1 \n') else: sys.stdout.write('0 \n') else: x = ((c/b) * (-1.0)) ## 0 2 0 -> -0.0 ??? if x == -0.0: x = 0.0 sys.stdout.write('1 \n%.5f \n'% x) elif a != 0: d = b*b - 4*a*c if d < 0: ## There is complex roots sys.stdout.write('0\n') elif d == 0: ## There is one root x = -b/2/a sys.stdout.write('1 \n%.5f \n'% x) elif d > 0: ## There is two roots x1 = (-b + d**0.5)/2/a x2 = (-b - d**0.5)/2/a if x1 > x2: x1,x2 = x2,x1 sys.stdout.write('2 \n%.5f \n%.5f \n'% (x1,x2)) if __name__ == "__main__": ##sys.stdin = open('f.in','r') ##sys.stdout = open('f.out','w') main() ##sys.stdin.close() ##sys.stdout.close()
8
PYTHON3
from math import sqrt a,b,c = map(int,input().split()) if a==0 and b == 0: if c == 0: print("-1") else: print("0") elif a == 0 : if c == 0: print(1) print("{:.5f}".format(c)) else: x = -1*c/b print('1') print ("{:.5f}".format(x)) elif b == 0 : if c == 0: print(1) print("{:.5f}".format(c)) else: x = -1*c/a if x<0: print('0') else: print('1') print ("{:.5f}".format(x)) else: result = b**2 - 4*a*c if result<0: print('0') else: x = ((-1*b) - sqrt(result))/(2*a) y = ((-1*b) + sqrt(result))/(2*a) if x == y: print(1) print("{:.5f}".format(x)) else: print(2) if x<y: print("{:.5f}".format(x)) print("{:.5f}".format(y)) else: print("{:.5f}".format(y)) print("{:.5f}".format(x))
8
PYTHON3
a,b,c=map(int,input().split()) if a: d=b**2-4*a*c if d<0: ans=[0] elif d==0: ans=[1,-b/(2*a)] else: ans=[2]+sorted([-(b-d**0.5)/(2*a),-(b+d**0.5)/(2*a)]) else: if b: ans=[1, -c/b] else: if c: ans=[0] else: ans=[-1] print(*ans)
8
PYTHON3
#include <bits/stdc++.h> using namespace std; inline long long int max(long long int a, long long int b, long long int c) { return max(max(a, b), c); } inline long long int min(long long int a, long long int b, long long int c) { return min(min(a, b), c); } inline long long int max(long long int a, long long int b) { return (a > b) ? a : b; } inline long long int min(long long int a, long long int b) { return (a < b) ? a : b; } inline long long int add(long long int x, long long int y, long long int mod_) { return (x + y >= mod_) ? x + y - mod_ : x + y; } inline long long int mul(long long int x, long long int y, long long int mod_) { return ((x % mod_) * 1LL * (y % mod_)) % mod_; } long long int power(long long int a, long long int n) { long long int p = 1; while (n > 0) { if (n % 2) { p = p * a; } n >>= 1; a *= a; } return p; } long long int powm(long long int a, long long int n, long long int mod_) { long long int p = 1; while (n) { if (n % 2) { p = mul(p, a, mod_); } n >>= 1; a = mul(a, a, mod_); } return p % mod_; } long long int powi(long long int a, long long int mod_) { return powm(a, mod_ - 2, mod_); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); ; cout << setprecision(15); long long int mn, mx; long long int n, m, t, k, i, j, sum = 0, flag = 0, cnt = 0; long long int x = 0, y = 0, z, l, r, q; int TC = 1; while (TC--) { double a, b, c; cin >> a >> b >> c; if (a != 0) { if (b * b - 4 * a * c < 0) cout << 0; else if (b * b - 4 * a * c == 0) cout << 1 << '\n' << (-b) / (2.0 * a); else { cout << "2\n"; double D = sqrtl(b * b - 4 * a * c); double x = (-b + D) / (2.0 * a); double y = (-b - D) / (2.0 * a); if (x < y) { cout << x << '\n' << y; } else cout << y << '\n' << x; } } else if (b != 0) { cout << 1 << '\n' << (-c / b); } else { if (c != 0) cout << 0; else cout << -1; } } cerr << "Time : " << 1000 * ((double)clock()) / (double)CLOCKS_PER_SEC << "ms\n"; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; cin >> a >> b >> c; double d = pow(b, 2.0) - 4.0 * a * c; if (d < 0 || a == 0 && b == 0 && c != 0) { cout << 0 << "\n"; return 0; } else if (a == 0 && b == 0 && c == 0) { cout << -1 << "\n"; return 0; } else if (a == 0) { cout << 1 << "\n"; cout << fixed << -c / b; } else if (d == 0) { cout << 1 << "\n"; cout << fixed << (-b + (sqrt(d))) / (2.0 * a); } else if (d > 0) { cout << 2 << '\n'; cout << fixed << min(((-b - sqrt(d)) / (2.0 * a)), ((-b + sqrt(d)) / (2.0 * a))) << "\n"; cout << fixed << max(((-b - sqrt(d)) / (2.0 * a)), ((-b + sqrt(d)) / (2.0 * a))) << "\n"; } }
8
CPP
#include <bits/stdc++.h> using namespace std; int main(int argc, char const *argv[]) { double a, b, c; cin >> a >> b >> c; if (a == 0 && b == 0) { if (c == 0) { cout << -1 << endl; } else { cout << 0 << endl; } return 0; } if (a == 0) { cout << 1 << endl; printf("%.6f\n", 0 - c / b); return 0; } double d = b * b - 4 * a * c; if (d < 0) { cout << 0 << endl; } else if (d == 0) { cout << 1 << endl; printf("%.6f\n", 0 - b / (2 * a)); } else { cout << 2 << endl; double res[2]; res[0] = (0 - b - sqrt(d)) / (2 * a); res[1] = (0 - b + sqrt(d)) / (2 * a); sort(res, res + 2); printf("%.6f\n", res[0]); printf("%.6f\n", res[1]); } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int TestMillerRabin[12] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}; long long mulmod(long long a, long long b, long long p) { long long x = 0, y = a % p; while (b > 0) { if (b % 2 == 1) x = (x + y) % p; y = (1LL * y * 2) % p; b = b / 2; } return x % p; } long long fastexp(long long x, long long y, long long p) { long long ans = 1; while (y > 0) { if (y & 1) ans = (1LL * ans * x) % p; y = y >> 1; x = (1LL * x * x) % p; } return ans % p; } long long fastexpp(long long x, long long y, long long p) { long long ans = 1; while (y > 0) { if (y & 1) ans = mulmod(ans, x, p); y = y >> 1; x = mulmod(x, x, p); } return ans % p; } long long invmod(long long x, long long p) { return fastexp(x, p - 2, p) % p; } bool check_composite(long long n, long long a, long long d, int s) { long long x = fastexp(a, d, n); if (x == 1 || x == n - 1) return false; for (int r = 1; r < s; r++) { x = (1LL * x * x) % n; if (x == n - 1) return false; } return true; } bool isPrime(long long p) { if (p <= 1) return false; int r = 0; long long d = p - 1; while (!(d & 1)) { d >>= 1; r++; } for (int i = 0; i < 12; i++) { int value = TestMillerRabin[i]; if (p == value) return true; if (check_composite(p, value, d, r)) return false; } return true; } int main() { int A, B, C; cin >> A >> B >> C; if (A == 0) { if (B == 0) { if (C == 0) cout << "-1\n"; else cout << "0\n"; } else { cout << 1 << '\n'; double ans = -1 * (double)C / (double)B; printf("%.5lf\n", ans); } } else { long long det = 1LL * B * B - 4LL * A * C; if (det > 0) { cout << "2\n"; double ans1 = (-B + sqrt((double)det)) / (2 * (double)A); double ans2 = (-B - sqrt((double)det)) / (2 * (double)A); if (ans1 > ans2) { double aux = ans1; ans1 = ans2; ans2 = aux; } printf("%.8lf\n%.8lf\n", ans1, ans2); return 0; } if (det == 0) { cout << "1\n"; double ans = -1 * (double)B / (2 * (double)A); printf("%.8lf\n", ans); } else { cout << "0\n"; } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; cin >> a >> b >> c; if (a == 0) { if (b == 0) { if (c == 0) { printf("-1"); } else { printf("0"); } } else { printf("1\n%f", -c / b); } } else { if (b * b - 4 * a * c < -1E-6) { printf("0"); } else { if (fabs(b * b - 4 * a * c) < 1E-6) { printf("1\n%f", -b / (2 * a)); } else { if (a > 0) { printf("2\n%f\n%f", (-b - sqrt(b * b - 4 * a * c)) / (2 * a), (-b + sqrt(b * b - 4 * a * c)) / (2 * a)); } else { printf("2\n%f\n%f", (-b + sqrt(b * b - 4 * a * c)) / (2 * a), (-b - sqrt(b * b - 4 * a * c)) / (2 * a)); } } } } }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; double x[3]; cin >> a >> b >> c; if (a == 0 && b == 0 && c == 0) { cout << "-1" << endl; return 0; } if (a == 0 && b == 0) { cout << "0" << endl; return 0; } if (a == 0) { cout << "1" << endl; cout << fixed << setprecision(10) << double(-c / b) << endl; return 0; } if (b * b - 4 * a * c < 0) { cout << "0" << endl; return 0; } x[0] = double(-b + sqrt(b * b - 4 * a * c)) / double(2 * a); x[1] = double(-b - sqrt(b * b - 4 * a * c)) / double(2 * a); if (x[0] == x[1]) { cout << "1" << endl; cout << fixed << setprecision(10) << x[0] << endl; return 0; } else { cout << "2" << endl; cout << fixed << setprecision(10) << min(x[0], x[1]) << endl; cout << fixed << setprecision(10) << max(x[0], x[1]) << endl; return 0; } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c, det, x1, x2; cout.precision(15); cin >> a >> b >> c; det = b * b - 4 * a * c; if (a == 0 && b == 0 && c == 0) cout << -1; else if (a == 0 && b == 0 || det < 0) cout << 0; else if (a == 0) cout << 1 << endl << -c / b; else { if (det == 0) cout << 1 << endl << fixed << -1 * b / (2 * a); else { x1 = (-b - sqrt(det)) / (2 * a); x2 = (-b + sqrt(det)) / (2 * a); if (x1 > x2) swap(x1, x2); cout << 2 << endl << fixed << x1 << endl << fixed << x2; } } }
8
CPP
#include <bits/stdc++.h> int main() { double a, b, c; scanf("%lf %lf %lf", &a, &b, &c); if (a == 0) { if (b == 0) { puts(c ? "0" : "-1"); } else { printf("1\n%.6lf\n", -c / b); } } else { if (a < 0) { a = -a; b = -b; c = -c; } double d = b * b - 4 * a * c; if (d < 0) { puts("0"); } else if (d == 0) { printf("1\n%.6lf\n", -b / (2 * a)); } else if (d > 0) { printf("2\n%.6lf\n%.6lf\n", (-b - sqrt(d)) / (2 * a), (-b + sqrt(d)) / (2 * a)); } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; cin >> a >> b >> c; double f; if (a == 0 && b == 0) { if (c == 0) cout << "-1" << endl; else cout << "0" << endl; } else if (a == 0 && c == 0) { cout << "1" << endl; cout << fixed << setprecision(8) << 0.0 << endl; } else if (a == 0) { cout << "1" << endl; cout << fixed << setprecision(8) << -c / b << endl; } else { double delta = (b * b) - (4 * a * c); double r = sqrt(delta); if (delta < 0) cout << "0" << endl; else if (delta == 0) { cout << "1" << endl; cout << fixed << setprecision(8) << -b / (2 * a) << endl; } else { cout << "2" << endl; double x = (double)(-b - r) / (2 * a), y = (-b + r) / (2 * a); if (x > y) { cout << fixed << setprecision(8) << y << endl; cout << setprecision(8) << x << endl; } else { cout << fixed << setprecision(8) << x << endl; cout << setprecision(8) << y << endl; } } } }
8
CPP
#include <bits/stdc++.h> int main() { long long a, b, c, d; scanf("%lld %lld %lld", &a, &b, &c); if (a == 0 && b == 0 && c == 0) { printf("-1"); return 0; } if (a == 0 && b == 0) { printf("0"); return 0; } d = b * b - 4 * a * c; if (d < 0) { printf("0"); return 0; } if (a == 0) { printf("1\n%.7f", -1.0 * c / b); return 0; } float a1 = (-1 * b + sqrt(d)) / (2.0 * a); float a2 = (-1 * b - sqrt(d)) / (2.0 * a); if (a1 == a2) { printf("1\n%.7f", a1); return 0; } if (a1 > a2) { float temp = a2; a2 = a1; a1 = temp; } printf("2\n%.7f\n%.7f", a1, a2); return 0; }
8
CPP
a,b,c=map(int,input().split()) dis=b*b-4*(a)*(c) if(a==0): if(b==0): if(c==0): print(-1) else: print(0) else: print(1) print(-c/b) else: if(dis==0): print(1) print((-b+dis**(0.5))/(2*a)) else: if(dis<0): print(0) else: print(2) print(min((-b - dis ** 0.5) / (2 * a), (-b + dis ** 0.5) / (2 * a))) print(max((-b - dis ** 0.5) / (2 * a), (-b + dis ** 0.5) / (2 * a)))
8
PYTHON3
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); double a, b, c; cin >> a >> b >> c; if (a == 0 && b == 0 && c == 0) { cout << -1; return 0; } else if (a == 0 && b == 0) { cout << 0; return 0; } if (a == 0) { cout << 1 << endl; cout << fixed << setprecision(10) << -c / b << endl; return 0; } double x = b * b - 4 * a * c; if (x < 0) { cout << 0; return 0; } vector<double> ans; ans.push_back((-b + sqrt(x)) / (2 * a)); ans.push_back((-b - sqrt(x)) / (2 * a)); cout << fixed << setprecision(10); sort(ans.begin(), ans.end()); if (ans[0] != ans[1]) { cout << 2 << endl; cout << ans[0] << endl << ans[1]; } else { cout << 1 << endl; cout << ans[0]; } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { float a, b, c, zero = 0, count = 0; cin >> a >> b >> c; if (a != 0) { float z = (b * b) - (4 * a * c); if (z > -1) { if (b == 0 && c == 0) { cout << 1 << endl << setprecision(10) << fixed << 0 << endl; return 0; } else if (c == 0) { cout << 2 << endl; cout << setprecision(10) << fixed << min(-b / a, zero) << endl << max(-b / a, -zero) << endl; return 0; } else if (z == 0) { cout << 1 << endl << setprecision(10) << fixed << -b / (2 * a) << endl; return 0; } else { cout << 2 << endl << setprecision(10) << fixed << min(((-b - sqrt(z)) / (2 * a)), ((-b + sqrt(z)) / (2 * a))) << endl << setprecision(10) << fixed << max(((-b - sqrt(z)) / (2 * a)), ((-b + sqrt(z)) / (2 * a))) << endl; return 0; } } else { cout << 0 << endl; return 0; } } else if (b != 0) { cout << 1 << endl << setprecision(10) << fixed << -c / b << endl; return 0; } else if (c != 0) { cout << 0 << endl; return 0; } cout << -1 << endl; return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; void SieveOfEratosthenes(long long n) { bool prime[n + 1]; memset(prime, true, sizeof(prime)); for (long long p = 2; p * p <= n; p++) { if (prime[p] == true) { for (long long i = p * p; i <= n; i += p) prime[i] = false; } } } long long power(long long x, long long y, long long m) { if (y == 0) return 1; long long p = power(x, y / 2, m) % m; p = (p * p) % m; return (y % 2 == 0) ? p : (x * p) % m; } void print(vector<long long> a) { for (long long i = 0; i < a.size(); i++) cout << a[i] << " "; cout << "\n"; } long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long lcm(long long a, long long b) { return (a / gcd(a, b)) * b; } bool cmp(long long a, long long b) { return a > b; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long a, b, c; cin >> a >> b >> c; if (a) { if (b) { long long d = b * b - 4 * a * c; if (d >= 0) { double f = sqrt(d); double r1 = -b + f; r1 = double(r1) / double(2 * a); double r2 = -b - f; r2 = double(r2) / double(2 * a); if (r1 != r2) { if (r2 > r1) swap(r1, r2); cout << 2 << "\n" << fixed << setprecision(8) << r2 << "\n" << r1; } else cout << 1 << "\n" << fixed << setprecision(8) << r2; } else { cout << 0; } } else { double d = -c; d = d / double(a); if (d >= 0) { cout << 1 << "\n" << fixed << setprecision(8) << sqrt(d); } else { cout << 0; } } } else { if (b) { double d = double(-c) / double(b); cout << 1 << "\n" << fixed << setprecision(8) << d; } else { if (c) cout << 0; else cout << -1; } } }
8
CPP
#include <bits/stdc++.h> using namespace std; double a, b, c; int main() { cin >> a >> b >> c; if (a == 0) { if (b == 0) { if (c == 0) cout << -1; else cout << 0; } else { cout << 1 << endl; double x = -c / b; printf("%.8f", x); } } else { double D = b * b - 4 * a * c; if (D < 0) { cout << 0 << endl; } else if (D == 0) { cout << 1 << endl; printf("%.8f", -b / (2 * a)); } else { cout << 2 << endl; printf("%.8f", min((-b - sqrt(D)) / (2 * a), (-b + sqrt(D)) / (2 * a))); cout << endl; printf("%.8f", max((-b - sqrt(D)) / (2 * a), (-b + sqrt(D)) / (2 * a))); } } }
8
CPP
from math import sqrt x = input() y = x.split() a = int(y[0]) b = int(y[1]) c = int(y[2]) det = b**2-4*a*c if a ==0: if b!=0: print(1) print(-c/b) if b==0: if a*c<0: print(2) print(-sqrt(-c/a)) print(sqrt(-c/a)) if det <0: print(0) if det ==0: if a==0 and b==0 and c==0: print (-1) elif a==0 and b==0 and c!=0: print(0) else: print(1) print(-b*(2*a)**(-1)) if det>0: if a!=0: print(2) X=(-b-sqrt(det))/(2*a) Y=(-b+sqrt(det))/(2*a) if X>Y: print(Y) print(X) else: print(X) print(Y)
8
PYTHON3
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; double f = 0, g = 0, i = 0; cin >> a >> b >> c; f = ((-1 * b + sqrt((b * b) - (4 * a * c))) / (2 * a)); g = ((-1 * b - sqrt((b * b) - (4 * a * c))) / (2 * a)); i = ((-1 * c) / b); if (a == 0 && b != 0) { cout << 1 << endl << fixed << setprecision(10) << i; } else if (a == 0 && b == 0 && c == 0) { cout << -1; } else if ((b * b) < (4 * a * c) || (a == 0 && b == 0)) { cout << 0; } else if (g == f) { cout << 1 << endl << fixed << setprecision(10) << g; } else { if (g < f) { cout << 2 << endl << fixed << setprecision(10) << g << endl << f; } else if (g > f) { cout << 2 << endl << fixed << setprecision(10) << f << endl << g; } } return 0; }
8
CPP
a, b, c = map(int, input().split()) def quadroot(a, b, c): roots = [] negb = -1*b discriminant = (b**2 - 4*a*c)**(1/2) bottom = 2*a roots.append(format((negb - discriminant) / (bottom), ".6f")) roots.append(format((negb + discriminant) / (bottom), ".6f")) return roots if a == 0 and b == 0 and c == 0: print(-1) exit() if a == b and b == 0 and c != 0 or (b**2 - 4*a*c) < 0: print(0) exit() ans = [] if a == 0: ans.append((-1*c) / b) else: ans = quadroot(a, b, c) for root in range(len(ans)): ans[root] = float(ans[root]) ans1 = list(set(sorted(ans))) print(len(ans1)) for i in ans1: print((f'{i:.6f}'))
8
PYTHON3
class CodeforcesTask20BSolution: def __init__(self): self.result = '' self.a_b_c = [] def read_input(self): self.a_b_c = [int(x) for x in input().split(" ")] def process_task(self): if not self.a_b_c[0]: if not self.a_b_c[1]: if not self.a_b_c[2]: self.result = "-1" else: self.result = "0" else: self.result = "1\n{0:.6f}".format(-self.a_b_c[2] / self.a_b_c[1]) else: delta = self.a_b_c[1] ** 2 - 4 * self.a_b_c[0] * self.a_b_c[2] if not delta: import math root = math.sqrt(self.a_b_c[2] / self.a_b_c[0]) if self.a_b_c[0] * (root ** 2) + self.a_b_c[1] * root + self.a_b_c[2] != 0: root = -root self.result = "1\n{0:.6f}".format(root) elif delta < 0: self.result = "0" else: import math s_delta = math.sqrt(delta) roots = [(-self.a_b_c[1] - s_delta) / (2 * self.a_b_c[0]), (-self.a_b_c[1] + s_delta) / (2 * self.a_b_c[0])] roots.sort() self.result = "2\n{0:.6f}\n{1:.6f}".format(roots[0], roots[1]) def get_result(self): return self.result if __name__ == "__main__": Solution = CodeforcesTask20BSolution() Solution.read_input() Solution.process_task() print(Solution.get_result())
8
PYTHON3
#include <bits/stdc++.h> using namespace std; int main() { double A, B, C; double d, x1, x2; cin >> A >> B >> C; cout << fixed << setprecision(10); if (A == 0) { if (B == 0) { if (C == 0) { cout << -1; } else { cout << 0; } } else { cout << 1 << endl; cout << -C / B; } } else { d = B * B - 4 * A * C; if (d == 0) { cout << 1 << endl << -B / (2 * A); } else if (d < 0) cout << 0; else { cout << 2 << endl; x1 = (-B - sqrt(d)) / (2 * A); x2 = (-B + sqrt(d)) / (2 * A); cout << min(x1, x2) << endl; cout << max(x1, x2); } } return 0; }
8
CPP
a1,a2,a3=input("").split() a= int(a1) b = int(a2) c= int(a3) d =b*b - (4*a*c) if a==0 and b==0 and c==0: print("-1") elif d < 0 or d>0 or d==0: if d>0 and a!=0: r1 = (-b+(d**0.5))/(2*a) r2 = (-b-(d**0.5))/(2*a) mi = min(r1,r2) ma = max(r1,r2) print("2") print(("{0:.10f}".format(mi))) print(("{0:.10f}".format(ma))) if d<0: print("0") if d==0 and a!=0: r1 = (-b+(d**0.5))/(2*a) print("1") print(("{0:.10f}".format(r1))) if a==0 and b!=0: r1 = -c/b print("1") print(("{0:.10f}".format(r1))) if a==0 and b==0: print("0")
8
PYTHON3
import math a,b,c = map(int,input().split(' ')) def root(a,b,c): d = (b**2) - (4*a*c) if d == 0: #Equal Root x = (-b)/(2*a) print(1) print("%.10f"%x) elif d > 0: #real root x = ((-b)+math.sqrt(d))/(2*a) y = ((-b)-math.sqrt(d))/(2*a) print(2) if x > y: print("%.10f"%y) print("%.10f"%x) else: print("%.10f"%x) print("%.10f"%y) else: #imaginary root print('0') #INFINITE CHECK if (a == 0 and b == 0 and c == 0): print(-1) elif a == 0 and b != 0: print(1) x = -c/b print('%.10f'%x) elif a == 0 and b == 0 and c != 0: print(0) else: root(a,b,c)
8
PYTHON3
#include <bits/stdc++.h> using namespace std; using namespace std; int main() { double A, B, C; double eps = 1e-9; cin >> A >> B >> C; double D = B * B - 4.0 * A * C; if (fabs(A) < eps) { if (fabs(B) < eps) { if (fabs(C) < eps) cout << "-1"; else cout << "0"; } else { cout << "1\n"; double x = -C / B; printf("%.9f", x); } } else if (D < -eps) { cout << "0"; } else { double x1 = (-B + sqrt(D)) / (2.0 * A); double x2 = (-B - sqrt(D)) / (2.0 * A); if (fabs(D) < eps) { cout << "1\n"; printf("%.9f", x1); } else { cout << "2\n"; if (x1 > x2) swap(x1, x2); printf("%.9f\n", x1); printf("%.9f", x2); } } return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; long long delta(long long a, long long b, long long c) { return b * b - 4 * a * c; } int main() { long long a, b, c; scanf("%I64d%I64d%I64d", &a, &b, &c); if (a == 0 && b == 0 && c == 0) { puts("-1"); return 0; } else if (a == 0 && b == 0 && c != 0) { puts("0"); return 0; } else if (a == 0 && b != 0) { puts("1"); double x = (b * c > 0) ? -(sqrt(c * c) / sqrt(b * b)) : (sqrt(c * c) / sqrt(b * b)); printf("%8lf", x); return 0; } int s; if (delta(a, b, c) < 0) { puts("0"); return 0; } else if (delta(a, b, c) == 0) { puts("1"); double x = -b / (2 * a); printf("%8lf", x); return 0; } else { puts("2"); double x1 = (-b - sqrt(delta(a, b, c))) / (2 * a), x2 = (-b + sqrt(delta(a, b, c))) / (2 * a); printf("%8lf", min(x1, x2)); printf("\n"); printf("%8lf", max(x1, x2)); return 0; } }
8
CPP
#include <bits/stdc++.h> using namespace std; double delta(long long a, long long b, long long c) { long long res = 0; res = b * b - 4 * a * c; return res; } int main() { int n; double a, b, c; double r1, r2; cin >> a >> b >> c; if (a == 0) { n = (b == 0) ? 0 : 1; r1 = (b == 0) ? 0 : -c / b; if (b == 0 and c == 0) n = -1; } else { double d = delta(a, b, c); if (d > 0) { n = 2; r1 = (-b + sqrt(d)) / (2 * a); r2 = (-b - sqrt(d)) / (2 * a); } else if (d == 0) { n = 1; r1 = -b / (2 * a); } else { n = 0; } } cout << n << endl; if (n == 1) { printf("%.6f\n", r1); } if (n == 2) { if (r1 > r2) { printf("%.6f\n", r2); printf("%.6f\n", r1); } else { printf("%.6f\n", r1); printf("%.6f\n", r2); } } }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; scanf("%lf%lf%lf", &a, &b, &c); if (a == 0 && b == 0 && c == 0) printf("-1\n"); else if (a == 0 && b == 0 && c) printf("0\n"); else if (a == 0) printf("1\n%.10lf\n", -c / b); else if (b == 0) { if (c < 0) printf("2\n%.10lf\n%.10lf\n", -sqrt(c / a), sqrt(c / a)); if (c == 0) printf("1\n%.10lf\n", 0); else printf("0\n"); } else { if (1ll * b * b - 4 * a * c < 0) printf("0\n"); else { double x, y; x = (-b - sqrt(1ll * b * b - 4 * a * c)) / (2 * a); y = (-b + sqrt(1ll * b * b - 4 * a * c)) / (2 * a); if (y + 1e-9 < x) printf("2\n%.10lf\n%.10lf\n", y, x); else if (x + 1e-9 < y) printf("2\n%.10lf\n%.10lf\n", x, y); else printf("1\n%.10lf\n", x); } } }
8
CPP
#include <bits/stdc++.h> using namespace std; const long double EPS = (long double)1e-7; const long double PI = acos(0) * 2; bool isZero(const long double& x) { return abs(x) <= EPS; } int sign(const long double& x) { return isZero(x) ? 0 : (0 < x ? 1 : -1); } long long gcd(long long a, long long b) { for (; b; a %= b, swap(a, b)) { } return abs(a); } pair<long long, long long> operator+(const pair<long long, long long>& a, const pair<long long, long long>& b) { return pair<long long, long long>(a.first + b.first, a.second + b.second); } pair<long long, long long> operator-(const pair<long long, long long>& a, const pair<long long, long long>& b) { return pair<long long, long long>(a.first - b.first, a.second - b.second); } pair<long long, long long> operator*(const pair<long long, long long>& a, const long long& b) { return pair<long long, long long>(a.first * b, a.second * b); } long long operator*(const pair<long long, long long>& a, const pair<long long, long long>& b) { return a.first * b.second - b.first * a.second; } long long ccw(const pair<long long, long long>& a, const pair<long long, long long>& b, const pair<long long, long long>& c) { return a * b + b * c + c * a; } void fg(vector<int> G[], int a, int b) { G[a].emplace_back(b); G[b].emplace_back(a); } void fg(vector<pair<int, int> > G[], int a, int b, int c) { G[a].emplace_back(b, c); G[b].emplace_back(a, c); } long long A, B, C; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> A >> B >> C; if (!A && !B) { puts(C ? "0" : "-1"); exit(0); } if (!A) { printf("1\n%.10lf\n", double(-C) / B); exit(0); } long long D = B * B - 4 * A * C; if (D < 0) { puts("0"); exit(0); } if (!D) { printf("1\n%.10lf\n", double(-B) / A / 2); exit(0); } if (A < 0) { A = -A; B = -B; C = -C; } printf("2\n%.10lf\n%.10lf\n", double(-B - sqrt(D)) / A / 2, double(-B + sqrt(D)) / A / 2); return 0; }
8
CPP
#include <bits/stdc++.h> using namespace std; int main() { double a, b, c; double res1, res2; cin >> a >> b >> c; if (a == 0) { if (b == 0) { if (c == 0) cout << "-1\n"; else cout << "0\n"; } else { cout << "1\n"; cout << fixed << setprecision(10) << (-c / b) << endl; } } else { if (b * b - 4 * a * c < 0) cout << "0\n"; else if (b * b - 4 * a * c == 0) { res1 = (-b) * 1.0 / (2 * a); cout << "1\n"; cout << fixed << setprecision(10) << res1 << endl; } else { res1 = (-b + sqrt(b * b - 4 * a * c)) * 1.0 / (2 * a); res2 = (-b - sqrt(b * b - 4 * a * c)) * 1.0 / (2 * a); cout << "2\n"; if (res1 > res2) { cout << fixed << setprecision(10) << res2 << endl; cout << fixed << setprecision(10) << res1 << endl; } else { cout << fixed << setprecision(10) << res1 << endl; cout << fixed << setprecision(10) << res2 << endl; } } } return 0; }
8
CPP
a, b, c = map(int, input().split()) d = b * b - 4 * a * c if not a: if not b: if not c: print(-1) else: print(0) else: print(1) or print(-c/b) else: if d < 0: print(0) elif not d: print(1) or print((-b + d ** 0.5) / 2 / a) else: print(2) or print(min((-b - d ** 0.5) / 2 / a, (-b + d ** 0.5) / 2 / a)) or print(max((-b - d ** 0.5) / 2 / a, (-b + d ** 0.5) / 2 / a))
8
PYTHON3
#include <bits/stdc++.h> struct edge { int to; edge* next; } E[6010], *ne = E, *first[3010]; void link(int a, int b) { *ne = (edge){b, first[a]}; first[a] = ne++; } int C[3010], cnt; bool tag[3010]; int dfs1(int i, int f) { int t; tag[i] = 1; for (edge* e = first[i]; e; e = e->next) if (e->to != f) { if (tag[e->to]) return C[cnt++] = i, e->to; else if ((t = dfs1(e->to, i)) > -1) return (C[cnt++] = i) == t ? -1 : t; else if (t == -1) return tag[i] = 0, -1; } tag[i] = 0; return -2; } double dfs2(int i, int f, int d, int l, int r) { double s = 1.0 / (d + l) + 1.0 / (d + r) - 1.0 / (d + l + r); for (edge* e = first[i]; e; e = e->next) e->to != f && (!tag[i] || !tag[e->to]) ? s += dfs2(e->to, i, d + 1, l, r) : 1; if (tag[i] && (f == -1 || !tag[f])) { int k = 0; while (C[k] != i) k++; r = cnt - 2; for (int j = (k + 1) % cnt; j != k; j = (j + 1) % cnt, l++, r--) s += dfs2(C[j], i, d + 1, l, r); } return s; } int main() { int n, a, b; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d%d", &a, &b), link(a, b), link(b, a); dfs1(0, -1); double ans = 0; for (int i = 0; i < n; i++) ans += dfs2(i, -1, 1, 0, 0); printf("%.12lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; int vi[3005], cir; int ori[3005][3005]; int sccl[3005][3005]; vector<int> s[3005], scc[3005], g[3005]; stack<int> sta; int dfs_cnt = 0, pre[3005] = {0}, sccno[3005] = {0}, scc_cnt = 0; int dfs(int u, int fa) { int lowu, lowv, i; lowu = pre[u] = ++dfs_cnt; sta.push(u); for (i = 0; i < s[u].size(); i++) { int v = s[u][i]; if (v == fa) continue; if (pre[v] == 0) { lowv = dfs(v, u); lowu = min(lowu, lowv); } else if (pre[v] < pre[u] && sccno[v] == 0) { lowu = min(lowu, pre[v]); } } if (lowu == pre[u]) { ++scc_cnt; while (sta.size()) { int x = sta.top(); sta.pop(); sccno[x] = scc_cnt; scc[scc_cnt].push_back(x); if (x == u) break; } cir = max(cir, (int)scc[scc_cnt].size()); } return lowu; } void dfs1(int u, int add, int st) { ori[st][u] = add; for (int i = 0; i < s[u].size(); i++) { int v = s[u][i]; if (vi[v] == st) continue; vi[v] = st; dfs1(v, add + 1, st); } } void dfs2(int u, int add, int st) { sccl[st][u] = add; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i]; if (vi[v] == st) continue; vi[v] = st; dfs2(v, add + 1, st); } } int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { int x, y; scanf("%d%d", &x, &y); s[x].push_back(y); s[y].push_back(x); } dfs(0, -1); for (int i = 0; i < n; i++) { for (int j = 0; j < s[i].size(); j++) { int x = sccno[i]; int y = sccno[s[i][j]]; if (x == y) continue; g[x].push_back(y); g[y].push_back(x); } } memset(vi, -1, sizeof(vi)); for (int i = 0; i < n; i++) { vi[i] = i; dfs1(i, 0, i); } memset(vi, -1, sizeof(vi)); for (int i = 1; i <= scc_cnt; i++) { vi[i] = i; dfs2(i, 0, i); } double ans = 0; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (i == j) { ans += 1; continue; } int x = sccl[sccno[i]][sccno[j]]; int y = ori[i][j] - x; int z = cir - y; if (y && z) ans += 1.0 / (x + y + 1) + 1.0 / (x + z + 1) - 1.0 / (x + y + z); else ans += 1.0 / (x + 1); } } printf("%.12f\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int inf = ~0U >> 1; const long long INF = ~0ULL >> 1; ; int n, x, y, cnt[4000], vis[4000], circle[4000], Cnt, top; double ans; vector<int> E[4000]; void check(int S, int u, int dis) { vis[u] = 1; for (int i = (0); i < (E[u].size()); ++i) if (!vis[E[u][i]]) check(S, E[u][i], dis + 1); else if (E[u][i] == S && dis > 1) { circle[S] = 1; ++Cnt; return; } vis[u] = 0; } void dfs(int S, int u, int c) { if (circle[u]) ++top; vis[u] = 1; if (top > 1) { int L1 = top; int L2 = Cnt - L1 + min(2, top); ans += 0.5 * (1. / c + 1. / (c - L1 + L2) - 1. / (c + L2 - 2)); } else ans += 1. / c; for (int i = (0); i < (E[u].size()); ++i) if (!vis[E[u][i]]) dfs(S, E[u][i], c + 1); vis[u] = 0; if (circle[u]) --top; } int main() { scanf("%d", &n); for (int i = (1); i <= (n); ++i) scanf("%d%d", &x, &y), E[x].push_back(y), E[y].push_back(x); for (int i = (0); i < (n); ++i) { memset(vis, 0, sizeof(vis)); check(i, i, 0); } for (int i = (0); i < (n); ++i) { memset(vis, 0, sizeof(vis)); dfs(i, i, 1); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; double ans; int d[3005], lp[3005], bl[3005], vst[3005], lc[3005][3005], dep[3005], cnt, fa[3005], pos[3005]; vector<int> son[3005]; queue<int> q; void dfs(int now) { vst[lp[pos[now] = ++cnt] = now] = 2; for (int T, i = 0; i < son[now].size(); ++i) if (!vst[T = son[now][i]]) dfs(T); } void Dfs(int cc, int now, int fat) { bl[now] = cc; dep[now] = dep[fat] + 1; fa[now] = fat; for (int T, i = 0; i < son[now].size(); ++i) if ((T = son[now][i]) != fat && vst[T] == 1) Dfs(cc, T, now); } int solve(int x, int y) { if (lc[x][y]) return lc[x][y]; if (dep[x] > dep[y]) lc[x][y] = solve(fa[x], y); else lc[x][y] = solve(fa[y], x); return lc[x][y]; } int n, i, x, y, T, j, Pos, f1, f2; int main() { for (cin >> n, i = 1; i <= n; ++i) cin >> x >> y, son[++x].push_back(++y), son[y].push_back(x), ++d[x], ++d[y]; for (i = 1; i <= n; lc[i][i] = i, ++i) if (d[i] == 1) q.push(i); while (q.size()) { x = q.front(); q.pop(); vst[x] = 1; for (i = 0; i < son[x].size(); ++i) if (!vst[T = son[x][i]] && (--d[T]) == 1) q.push(T); } for (i = 1; i <= n; ++i) if (!vst[i]) { dfs(i); break; } for (i = 1; i <= cnt; ++i) Dfs(i, lp[i], 0); for (i = 2; i <= n; ++i) { for (j = 1; j < i; ++j) { if (bl[i] == bl[j]) { Pos = dep[i] + dep[j] - (dep[solve(i, j)] << 1) + 1; ans += 2.0 / Pos; } else { Pos = dep[i] + dep[j]; f1 = abs(bl[i] - bl[j]) - 1; f2 = cnt - f1 - 2; ans += 2.0 / (Pos + f1) + 2.0 / (Pos + f2) - 2.0 / (Pos + f1 + f2); } } ++ans; } printf("%.10lf", ans + 1); }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline void in(T &x) { x = 0; short f = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') x = x * 10 + (c ^ '0'), c = getchar(); x *= f; } template <class T> inline void out(T x, const char c = '\n') { static short st[30]; short m = 0; if (x < 0) putchar('-'), x = -x; do st[++m] = x % 10, x /= 10; while (x); while (m) putchar(st[m--] | '0'); putchar(c); } template <class T, class... Args> inline void in(T &x, Args &...args) { in(x); in(args...); } template <class T, class... Args> inline void out(const T &x, const Args &...args) { out(x, ' '); out(args...); } template <class T> inline void prt(T a[], int n) { for (register int i = 0; i < n; ++i) out(a[i], ' '); putchar('\n'); } template <class T> inline void clr(T a[], int n) { memset(a, 0, sizeof(T) * n); } template <class T> inline void clr(T *a, T *b) { memset(a, 0, sizeof(T) * (b - a)); } template <class T> inline bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; } template <class T> inline bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; } namespace MOD_CALC { const int md = 998244353; inline int add(const int a, const int b) { return a + b >= md ? a + b - md : a + b; } inline int sub(const int a, const int b) { return a - b < 0 ? a - b + md : a - b; } inline int mul(const int a, const int b) { return (long long)a * b % md; } inline void inc(int &a, const int b) { (a += b) >= md ? a -= md : 0; } inline void dec(int &a, const int b) { (a -= b) < 0 ? a += md : 0; } inline int qpow(int a, int b) { int r = 1; for (; b; b >>= 1, a = mul(a, a)) if (b & 1) r = mul(r, a); return r; } inline int mdinv(const int a) { return qpow(a, md - 2); } } // namespace MOD_CALC using namespace MOD_CALC; namespace i207M { int n; vector<int> E[3005]; int du[3005]; int sz; void topo() { static int q[3005]; int hd = 1, tl = 0; for (register int i = 1; i <= n; ++i) if (du[i] == 1) q[++tl] = i; while (hd <= tl) { int x = q[hd++]; for (const auto &v : E[x]) if (--du[v] == 1) q[++tl] = v; } for (register int i = 1; i <= n; ++i) if (du[i] == 2) ++sz; } double ans; bool vis[3005]; void dfs(int x, int d, int h) { if (vis[x]) return; vis[x] = 1; h += (du[x] == 2); if (h >= 2) ans += 1.0 / d + 1.0 / (d - h + 2 + sz - h) - 1.0 / (d + sz - h); else ans += 1.0 / d; for (const auto &v : E[x]) dfs(v, d + 1, h); } signed main() { in(n); for (register int i = 1, a, b; i <= n; ++i) { in(a, b); ++a, ++b; E[a].push_back(b), E[b].push_back(a); ++du[a], ++du[b]; } topo(); for (register int i = 1; i <= n; ++i) { memset(vis, 0, sizeof(vis)); dfs(i, 1, 0); } printf("%.10f\n", ans); return 0; } } // namespace i207M signed main() { i207M::main(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3005; vector<int> to[N]; int f[N][15], st[N], top, cir[N], dep[N], col[N], n, cnt, siz, vis[N], oncir[N]; void add(int a, int b) { to[a].push_back(b); to[b].push_back(a); } int find(int now, int fa) { if (vis[now]) { int v; do { v = st[top--]; cir[++siz] = v; oncir[v] = 1; } while (v != now); return 1; } vis[st[++top] = now] = 1; for (auto v : to[now]) if (v != fa && find(v, now)) return 1; vis[st[top--]] = 0; return 0; } void dfs(int now, int fa, int se) { col[now] = se; f[now][0] = fa; dep[now] = dep[fa] + 1; for (auto v : to[now]) if (v != fa && !oncir[v]) dfs(v, now, se); } int lca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 14; i >= 0; i--) if (dep[f[x][i]] >= dep[y]) x = f[x][i]; if (x == y) return x; for (int i = 14; i >= 0; i--) if (f[x][i] != f[y][i]) x = f[x][i], y = f[y][i]; return f[x][0]; } int dis(int x, int y) { return dep[x] + dep[y] - 2 * dep[lca(x, y)] + 1; } int main() { scanf("%d", &n); for (int i = 1, x, y; i <= n; i++) { scanf("%d%d", &x, &y); add(x + 1, y + 1); } find(1, 0); for (int i = 1; i <= siz; i++) dfs(cir[i], 0, i); for (int i = 1; (1 << i) <= n; i++) for (int j = 1; j <= n; j++) f[j][i] = f[f[j][i - 1]][i - 1]; double ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (col[i] == col[j]) ans += 1.0 / dis(i, j); else { int x = dep[i] + dep[j]; int y = abs(col[i] - col[j]) - 1; int z = siz - 2 - y; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; using LL = long long; namespace _buff { const size_t BUFF = 1 << 19; char ibuf[BUFF], *ib = ibuf, *ie = ibuf; char getc() { if (ib == ie) { ib = ibuf; ie = ibuf + fread(ibuf, 1, BUFF, stdin); } return ib == ie ? -1 : *ib++; } } // namespace _buff LL read() { using namespace _buff; LL ret = 0; bool pos = true; char c = getc(); for (; (c < '0' || c > '9') && c != '-'; c = getc()) { assert(~c); } if (c == '-') { pos = false; c = getc(); } for (; c >= '0' && c <= '9'; c = getc()) { ret = (ret << 3) + (ret << 1) + (c ^ 48); } return pos ? ret : -ret; } const size_t N = 3e3 + 5; double ans; int a[N], b[N]; vector<int> g[N], gg[N], sub[N], cyc; bool vis[N], oncyc[N]; int par[N], dep[N]; void dfs1(int u = 1, int p = 0, int pe = -1) { vis[u] = true; par[u] = p; for (int i : gg[u]) { if (i == pe) continue; int v = a[i] ^ b[i] ^ u; if (vis[v]) { if (cyc.empty()) { for (int x = u;; x = par[x]) { cyc.emplace_back(x); oncyc[x] = true; if (x == v) break; } } } else { dfs1(v, u, i); } } } void dfs2(int rt, int u, int p = 0, int d = 0) { sub[par[u] = rt].emplace_back(u); dep[u] = d; for (int v : g[u]) { if (v != p && !oncyc[v]) { dfs2(rt, v, u, d + 1); } } } void bfs(int s) { static int dis[N]; memset(dis, -1, sizeof dis); queue<int> que; que.emplace(s); dis[s] = 1; while (!que.empty()) { int u = que.front(); que.pop(); ans += 1. / dis[u]; for (int v : g[u]) { if (!~dis[v] && par[u] == par[v]) { dis[v] = dis[u] + 1; que.emplace(v); } } } } int main() { int n = read(); for (int i = 0; i < n; ++i) { int u = a[i] = read() + 1, v = b[i] = read() + 1; g[u].emplace_back(v); g[v].emplace_back(u); gg[u].emplace_back(i); gg[v].emplace_back(i); } dfs1(); for (int u : cyc) { dfs2(u, u); } for (unsigned i = 0; i < cyc.size(); ++i) { for (unsigned j = 0; j < i; ++j) { int l1 = i - j + 1, l2 = cyc.size() + 2 - l1; for (int u : sub[cyc[i]]) { for (int v : sub[cyc[j]]) { ans += ((double)(cyc.size() - l1) / (l1 + dep[u] + dep[v]) + (double)(cyc.size() - l2) / (l2 + dep[u] + dep[v]) + 1) / (cyc.size() + dep[u] + dep[v]); } } } } ans *= 2; for (int i = 1; i <= n; ++i) { bfs(i); } printf("%.19f", ans); return 0; }
10
CPP
#include <bits/stdc++.h> const int maxn = 3005; const int maxm = 6005; const int inf = 999999999; struct edge { int to, next; }; int n; edge e[maxm]; int head[maxn], tot; int stn[maxn], stk[maxn], top = 1; int cir[maxn], circ, ind[maxn]; int cirr[maxn]; bool vis[maxn]; int dis[maxn][maxn]; bool vis2[maxn][maxn]; void dfs2(int u, int p) { vis[u] = true; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p || vis[v]) continue; cirr[v] = cirr[u]; dfs2(v, u); } } void dfs3(int u, int p, int r) { vis2[r][u] = true; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p || vis2[r][v]) continue; dis[r][v] = dis[r][u] + 1; dfs3(v, u, r); } } bool dfs1(int u, int p) { stk[top] = u; stn[u] = top++; for (int t = head[u]; t; t = e[t].next) { int v = e[t].to; if (v == p) continue; if (stn[v]) { for (int i = stn[v]; i < top; i++) cir[circ] = stk[i], ind[stk[i]] = circ++, vis[stk[i]] = true; return true; } if (dfs1(v, u)) return true; } top--; return false; } void add_edge(int from, int to) { e[++tot] = (edge){to, head[from]}; head[from] = tot; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y); x++, y++; add_edge(x, y); add_edge(y, x); } dfs1(1, 0); for (int i = 0; i < circ; i++) cirr[cir[i]] = cir[i], dfs2(cir[i], 0); for (int i = 1; i <= n; i++) dis[i][i] = 0, dfs3(i, 0, i); double ans = 0.0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (cirr[i] == cirr[j]) ans += 1.0 / (dis[i][j] + 1); else ans += 1.0 / (dis[i][j] + 1) + 1.0 / (dis[i][j] + circ - dis[cirr[i]][cirr[j]] * 2 + 1) - 1.0 / (dis[i][j] + circ - dis[cirr[i]][cirr[j]]); } printf("%0.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; static const int maxn = 3000 + 5; static const int maxm = 6000 + 5; static int n, c; static int suf[maxn], pre[maxm], tar[maxm], e; static int vis[maxn], dep[maxn], dis[maxn]; static int deg[maxn], que[maxn], head, tail; static double ans; inline int read() { int k = 0, f = 1; char c = getchar(); while (c > '9' || c < '0') { if (c == '-') f = -1; c = getchar(); } while (c <= '9' && c >= '0') { k = k * 10 + c - '0'; c = getchar(); } return k * f; } void dfs(int u) { vis[u] = 1; for (int i = suf[u]; i; i = pre[i]) if (!vis[tar[i]]) { dep[tar[i]] = dep[u] + 1; if (!dis[tar[i]]) { dis[tar[i]] = dis[u] + 1; ans += 1.0 / dis[tar[i]]; } else ans += 1.0 / dep[tar[i]] - 2.0 / (dis[tar[i]] + dep[tar[i]] + c - 2); dfs(tar[i]); } vis[u] = 0; } int main() { n = read(); for (int u, v, i = 1; i <= n; ++i) { ++deg[u = read() + 1]; ++deg[v = read() + 1]; pre[++e] = suf[u], suf[u] = e, tar[e] = v; pre[++e] = suf[v], suf[v] = e, tar[e] = u; } for (int i = 1; i <= n; ++i) if (deg[i] == 1) que[tail++] = i; while (head != tail) for (int i = suf[que[head++]]; i; i = pre[i]) if (--deg[tar[i]] == 1) que[tail++] = tar[i]; c = n - tail; for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) dis[j] = dep[j] = 0; dis[i] = dep[i] = 1; dfs(i); } printf("%.10lf", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; vector<int> v[3005]; bool vis[3005], cir[3005]; int q, s, n; int Find_Cir(int x, int y) { vis[x] = 1; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) { int t = Find_Cir(v[x][i], x); if (t) { if (t > 0) { cir[x] = 1; s++; } return t == x ? -1 : t; } } else if (v[x][i] != y) { cir[x] = s = 1; return v[x][i]; } return 0; } double ans; void Dfs(int x) { vis[x] = 1; q += cir[x]; n++; if (q > 1) { int c = n - q + s, a = q - 2, b = s - q; ans += (double)a / c / (c - a) + (double)b / c / (c - b) + 1.0 / c; } else ans += 1.0 / n; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) Dfs(v[x][i]); n--; q -= cir[x]; } int main() { int n; scanf("%d", &n); for (int i = 1, x, y; i <= n; i++) scanf("%d%d", &x, &y), v[x + 1].push_back(y + 1), v[y + 1].push_back(x + 1); Find_Cir(1, 0); for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); Dfs(i); } printf("%.7lf\n", ans); }
10
CPP
#include <bits/stdc++.h> const int N = 3e3 + 10; int n, vis[N], px, py, dep[N], fa[12][N], id[N], flag[N], lg[N]; std::vector<int> e[N], x, y; int main() { scanf("%d", &n); for (int i(2); i < N; ++i) { lg[i] = lg[i / 2] + 1; } for (int i(1), x, y; i <= n; ++i) { scanf("%d %d", &x, &y); ++x; ++y; e[x].push_back(y); e[y].push_back(x); } std::function<void(int, int)> dfs = [&](int u, int f) { vis[u] = 1; dep[u] = dep[fa[0][u] = f] + 1; for (int i : e[u]) { if (i ^ f) { if (vis[i]) { px = i; py = u; } else { dfs(i, u); } } } return; }; dfs(1, 0); while (dep[px] > dep[py]) { x.push_back(px); px = fa[0][px]; } while (px != py) { x.push_back(px); px = fa[0][px]; y.push_back(py); py = fa[0][py]; } reverse(y.begin(), y.end()); x.push_back(px); for (int &i : y) { x.push_back(i); } int cir = x.size(); for (int i(0); i < x.size(); ++i) { flag[x[i]] = 1; id[x[i]] = i + 1; } std::function<void(int, int)> dfs1 = [&](int u, int f) { dep[u] = dep[fa[0][u] = f] + 1; if (f) { id[u] = id[f]; } for (int &to : e[u]) { if (to != f && !id[to]) { dfs1(to, u); } } }; for (int i(0); i < x.size(); ++i) { dfs1(x[i], 0); } for (int i(1); i < 12; ++i) { for (int j(1); j <= n; ++j) { fa[i][j] = fa[i - 1][fa[i - 1][j]]; } } std::function<int(int, int)> LCA = [&](int a, int b) { if (dep[a] < dep[b]) { std::swap(a, b); } while (dep[a] > dep[b]) { a = fa[lg[dep[a] - dep[b]]][a]; } if (a == b) { return a; } for (int i(11); ~i; --i) { if (fa[i][a] != fa[i][b]) { a = fa[i][a]; b = fa[i][b]; } } return fa[0][a]; }; double ans(0); for (int i(1); i <= n; ++i) { for (int j(1); j <= n; ++j) { if (id[i] == id[j]) { int l = LCA(i, j), len = dep[i] + dep[j] - 2 * dep[l]; ans += 1.0 / (len + 1); } else { int x = dep[i] + dep[j], y = std::max(id[i], id[j]) - std::min(id[i], id[j]) - 1, z = cir - 2 - y; ans += 1.0 / (x + y) + 1.0 / (z + x) - 1.0 / (x + y + z); } } } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3000 + 3; struct Edge { int to, nxt; } e[N << 1]; int n, cnt; int hd[N], top, q[N], tail, cur[N], c[N], pos[N], belong[N], dep[N], dis[N]; bool vis[N], used[N]; long double ans; inline void addedge(int x, int y) { e[++top].to = y; e[top].nxt = hd[x]; hd[x] = top; e[++top].to = x; e[top].nxt = hd[y]; hd[y] = top; } inline void find_cycle(void) { int tail, now; for (int i = 1; i <= n; ++i) cur[i] = hd[i]; for (vis[q[tail = 1] = 1] = 1; tail;) for (int& p = cur[now = q[tail]]; ~p; p = e[p].nxt) if (!used[p >> 1]) { used[p >> 1] = 1; if (vis[e[p].to]) { do c[++cnt] = q[tail--]; while (c[cnt] != e[p].to); return; } vis[q[++tail] = e[p].to] = 1; p = e[p].nxt; break; } else if (!~e[p].nxt) { --tail; break; } } inline void init(void) { find_cycle(); memset(vis, 0, sizeof vis); for (int i = 1; i <= cnt; ++i) vis[c[i]] = 1; for (int i = 1, l, r, now, p; i <= cnt; ++i) { pos[c[i]] = i; for (q[l = r = 1] = c[i]; l <= r; ++l) { belong[now = q[l]] = c[i]; for (p = hd[now]; ~p; p = e[p].nxt) if (!vis[e[p].to]) vis[q[++r] = e[p].to] = 1, dep[e[p].to] = dep[now] + 1; } } } inline void solve(int x) { memset(vis, 0, sizeof vis); memset(dis, 0, sizeof dis); int l, r, now, p; for (vis[q[l = r = 1] = x] = 1; l <= r; ++l) { now = q[l]; ans += 1.0 / (dis[now] + 1); for (p = hd[now]; ~p; p = e[p].nxt) if (!(pos[now] && pos[e[p].to])) if (!vis[e[p].to]) vis[q[++r] = e[p].to] = 1, dis[e[p].to] = dis[now] + 1; } } inline void calc(int x, int y) { int a = dep[x] + dep[y], b = abs(pos[belong[x]] - pos[belong[y]]) - 1, c = cnt - 2 - b; ans += 1.0 / (a + b + 2) + 1.0 / (a + c + 2) - 1.0 / (a + cnt); } int main(int argc, char** argv) { int x, y; memset(hd, -1, sizeof hd); top = -1; scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d%d", &x, &y), addedge(x + 1, y + 1); init(); for (int i = 1; i <= n; ++i) { solve(i); for (int j = 1; j <= n; ++j) if (belong[i] != belong[j]) calc(i, j); } printf("%.10lf\n", (double)ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline bool SR(int &x) { return scanf("%d", &x) == 1; } inline bool SR(long long &x) { return scanf("%lld", &x) == 1; } inline bool SR(double &x) { return scanf("%lf", &x) == 1; } inline bool SR(char *s) { return scanf("%s", s) == 1; } inline bool RI() { return true; } template <typename I, typename... T> inline bool RI(I &x, T &...tail) { return SR(x) && RI(tail...); } inline void SP(const int x) { printf("%d", x); } inline void SP(const long long x) { printf("%lld", x); } inline void SP(const double x) { printf("%.16lf", x); } inline void SP(const char *s) { printf("%s", s); } inline void PL() { puts(""); } template <typename I, typename... T> inline void PL(const I x, const T... tail) { SP(x); if (sizeof...(tail)) putchar(' '); PL(tail...); } template <typename I> void _DOING(const char *s, I &&x) { cerr << s << " = " << x << endl; } template <typename I, typename... T> void _DOING(const char *s, I &&x, T &&...tail) { int c = 0; while (*s != ',' || c != 0) { if (*s == '(' || *s == '[' || *s == '{') c++; if (*s == ')' || *s == ']' || *s == '}') c--; cerr << *s++; } cerr << " = " << x << " , "; _DOING(s + 1, tail...); } inline int RAND() { static int x = 880301; return (x = x * 0xdefaced + 1) & 0x7fffffff; } const int MAX_N = 3000 + 10; double ans; int cycle_cnt; int deg[MAX_N]; bool vis[MAX_N]; bool tag[MAX_N]; vector<int> G[MAX_N]; void dfs(int u, int a, int b) { vis[u] = true; if (b <= 1) ans += 1.0 / a; else ans += 1.0 / a - 1.0 / (a - b + cycle_cnt) + 1.0 / (a - b + cycle_cnt - b + 2); for (int v : G[u]) if (!vis[v]) dfs(v, a + 1, b + tag[v]); } int main() { int n; RI(n); for (int i = 0; i < int(n); i++) { int a, b; RI(a, b); G[a].push_back(b); G[b].push_back(a); deg[a]++; deg[b]++; } vector<int> vec; for (int i = 0; i < int(n); i++) if (deg[i] == 1) vec.push_back(i); for (int i = 0; i < int(((int)vec.size())); i++) { int u = vec[i]; for (int v : G[u]) { if (--deg[v] == 1) vec.push_back(v); } } cycle_cnt = n - ((int)vec.size()); for (int i = 0; i < int(n); i++) if (deg[i] > 1) tag[i] = 1; for (int i = 0; i < int(n); i++) { memset(vis, (0), sizeof(vis)); dfs(i, 1, tag[i]); } PL(ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct Edge { int nxt, to; } e[6005]; int hd[3005], e_cnt; void add(int u, int v) { e[++e_cnt] = (Edge){hd[u], v}; hd[u] = e_cnt; } int n, dia[3005], dia_cnt, rec[3005]; double ans; bool vis[3005]; void dfs1(int u, int r, int dep) { vis[u] = true; rec[dep] = u; for (int i = hd[u]; i; i = e[i].nxt) if (e[i].to != r) { if (vis[e[i].to]) { for (int j = 1; j <= dep; j++) if (rec[j] == e[i].to) { while (j <= dep) { dia[++dia_cnt] = rec[j]; j++; } break; } return; } dfs1(e[i].to, u, dep + 1); if (dia_cnt) return; } } void dfs2(int u, int r, int dep, vector<int> &vec) { vec.push_back(dep); for (int i = hd[u]; i; i = e[i].nxt) if (e[i].to != r && !vis[e[i].to]) { dfs2(e[i].to, u, dep + 1, vec); } } void dfs4(int u, int r, int dep, int exception) { ans += 1.0 / dep; for (int i = hd[u]; i; i = e[i].nxt) if (e[i].to != r && (!vis[e[i].to] || e[i].to == exception)) dfs4(e[i].to, u, dep + 1, exception); } void dfs3(int u, int r, int exception) { dfs4(u, 0, 1, exception); for (int i = hd[u]; i; i = e[i].nxt) if (e[i].to != r && !vis[e[i].to]) dfs3(e[i].to, u, exception); } int main() { cin >> n; for (int i = 1; i <= n; i++) { int a, b; cin >> a >> b; a++; b++; add(a, b); add(b, a); } dfs1(1, 0, 1); memset(vis, 0, sizeof vis); for (int i = 1; i <= dia_cnt; i++) vis[dia[i]] = true; for (int i = 1; i <= dia_cnt; i++) for (int j = i + 1; j <= dia_cnt; j++) { vector<int> v1, v2; dfs2(dia[i], 0, 0, v1); dfs2(dia[j], 0, 0, v2); int d1 = j - i, d2 = dia_cnt - d1; for (int x : v1) for (int y : v2) { ans += 1.0 / (x + y + d1 + 1) + 1.0 / (x + y + d2 + 1) - 1.0 / (x + y + dia_cnt); } } ans *= 2; for (int i = 1; i <= dia_cnt; i++) dfs3(dia[i], 0, dia[i]); printf("%.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; struct Edge { int to, next; }; const int maxn = 6060; Edge e[maxn]; int st[maxn], tot = -1; void add(int u, int v) { e[++tot].to = v; e[tot].next = st[u]; st[u] = tot; } bool vis[3030], cir[maxn]; int fa[maxn], dep[maxn], C; void prep(int now) { for (int i = st[now]; i != -1; i = e[i].next) if (e[i].to != fa[now]) { fa[e[i].to] = now; dep[e[i].to] = dep[now] + 1; prep(e[i].to); } } int f[maxn]; int find(int x) { if (f[x] == x) return x; return f[x] = find(f[x]); } void Union(int a, int b) { f[find(a)] = find(b); } void init() { memset(st, -1, sizeof(st)); cin >> n; int U, V; for (int i = 1; i <= n; i++) f[i] = i; for (int i = 1; i <= n; i++) { int u, v; cin >> u >> v; u++; v++; if (find(u) == find(v)) { U = u, V = v; continue; } add(u, v); add(v, u); Union(u, v); } dep[1] = 1; prep(1); add(U, V); add(V, U); if (dep[U] > dep[V]) swap(U, V); while (dep[V] > dep[U]) { cir[V] = true; V = fa[V]; } while (fa[V] != fa[U]) { cir[V] = true; cir[U] = true; V = fa[V]; U = fa[U]; } if (V == U) cir[V] = true; else cir[V] = cir[fa[V]] = true; for (int i = 1; i <= n; i++) if (cir[i]) C++; } int cnt, cy; double ans = 0; int Start; void dfs(int now) { vis[now] = true; cnt++; cy += cir[now]; if (cy > 1) { double a = cnt, b = cnt + C - 2 * cy + 2, c = cnt - cy + C; if (a != 0 && b != 0 && c != 0) ans += 1.0 / a + 1.0 / b - 1.0 / c; } else ans += 1.0 / cnt; for (int i = st[now]; i != -1; i = e[i].next) if (!vis[e[i].to]) dfs(e[i].to); cy -= cir[now]; cnt--; } void work() { for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); Start = i; dfs(i); } cout << fixed << setprecision(9) << ans << endl; } void debug() { for (int i = 1; i <= n; i++) if (cir[i]) cout << i << " "; } int main() { init(); work(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 3) + (x << 1) + (ch ^ 48); ch = getchar(); } return x * f; } const int N = 3100; struct node { int nex, to; } a[N << 1]; int n, m, tot, ccol, top, cnt; int id[N], acc[N], fa[N], lca[N][N], maxid; int dfn[N], low[N], col[N], vis[N], sta[N], num[N]; int head[N], dep[N]; void add(int f, int t) { a[++tot].nex = head[f]; a[tot].to = t; head[f] = tot; } void tarjan(int now, int fa) { dfn[now] = low[now] = ++cnt; sta[++top] = now; vis[now] = 1; for (int i = head[now], to; i; i = a[i].nex) { to = a[i].to; if (to == fa) continue; if (!dfn[to]) { tarjan(to, now); low[now] = min(low[now], low[to]); } else if (vis[i]) low[now] = min(low[now], dfn[to]); } if (dfn[now] == low[now]) { ccol++; int t; do { t = sta[top]; vis[t] = 0; col[t] = ccol; num[ccol]++; } while (sta[top--] != now); } } int find(int x) { return x == fa[x] ? fa[x] : fa[x] = find(fa[x]); } void Dfs(int now, int fa) { for (int i = head[now], to; i; i = a[i].nex) { to = a[i].to; if (to == fa) continue; dep[to] = dep[now] + 1; Dfs(to, now); } } void work(int now, int ac, int f) { acc[now] = ac; fa[now] = now; for (int i = head[now], to; i; i = a[i].nex) { to = a[i].to; if (to != f && num[col[to]] == 1) { dep[to] = dep[now] + 1; work(to, ac, now); if (find(to) != find(now)) fa[find(to)] = find(now); } } for (int i = 1; i <= n; i++) if (acc[i] == ac) lca[now][i] = lca[i][now] = find(i); } void dfs(int now, int fa) { id[now] = id[fa] + 1; dep[now] = 1; acc[now] = now; work(now, now, now); for (int i = head[now], to; i; i = a[i].nex) { to = a[i].to; if (to != fa && !id[to] && num[col[to]] > 1) dfs(to, now); } } int main() { n = read(); m = n; for (int i = 1, x, y; i <= m; i++) { x = read() + 1; y = read() + 1; add(x, y); add(y, x); } if (m == n - 1) { double res = 0; for (int i = 1; i <= n; i++) { dep[i] = 1; Dfs(i, 0); for (int j = 1; j <= n; j++) res += (double)1 / (double)dep[j]; } printf("%.5f\n", res); } else { double Ans = 0; for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); for (int i = 1; i <= n; i++) if (num[col[i]] > 1) { id[i] = 1; maxid = num[col[i]]; dfs(i, 0); break; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (acc[i] == acc[j]) Ans += 1.0 / (dep[i] + dep[j] - 2 * dep[lca[i][j]] + 1); else { int x = dep[i] + dep[j], y = abs(id[acc[i]] - id[acc[j]]) - 1, z = maxid - y - 2; Ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%.5f\n", Ans); } fclose(stdin); fclose(stdout); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct Edge { int to, next; } e[6060]; int point[3030], te = 1; void addE(int st, int ed) { te++; e[te].to = ed; e[te].next = point[st]; point[st] = te; } int ind[3030]; queue<int> q; int ter, cir; int vis[3030], dis[3030], dis2[3030]; double ans; void dfs(int now) { vis[now] = 1; for (int i = point[now]; i; i = e[i].next) { int who = e[i].to; if (vis[who]) continue; dis2[who] = dis2[now] + 1; if (!dis[who]) { dis[who] = dis[now] + 1; ans += 1. / dis[who]; } else { ans += 1. / dis2[who] - 2. / (dis[who] + dis2[who] + cir - 2); } dfs(who); } vis[now] = 0; } int n; int main() { cin >> n; for (int i = 1; i <= n; i++) { int u, v; cin >> u >> v; addE(u, v); addE(v, u); ind[u]++, ind[v]++; } for (int i = 0; i < n; i++) { if (ind[i] == 1) q.push(i); } ter = q.size(); while (!q.empty()) { int now = q.front(); q.pop(); for (int i = point[now]; i; i = e[i].next) { int who = e[i].to; ind[who]--; if (ind[who] == 1) q.push(who), ter++; } } cir = n - ter; for (int i = 0; i < n; i++) { memset(vis, 0, sizeof(vis)); memset(dis, 0, sizeof(dis)); memset(dis2, 0, sizeof(dis2)); dis[i] = dis2[i] = 1; dfs(i); } cout << fixed << setprecision(10) << ans + n << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> inline T read(register T& t) { register T f = 1; register char ch = getchar(); t = 0; while (ch < '0' || ch > '9') { if (ch == '-') f = -f; ch = getchar(); } while (ch >= '0' && ch <= '9') t = t * 10 + ch - '0', ch = getchar(); t *= f; return t; } template <typename T, typename... Args> inline void read(T& t, Args&... args) { read(t); read(args...); } const long long p = 998244353; inline long long power(register long long x, register long long k = p - 2) { register long long re = 1; for (; k; k >>= 1, x = x * x % p) if (k & 1) re = re * x % p; return re; } int n; int head[3005], to[6006], ne[6006], total = 1; inline void add(int a, int b) { total++; to[total] = b; ne[total] = head[a]; head[a] = total; } vector<int> col; bool vis[3005]; int st[3005], st_top; int del_e; void dfs(int now, int fa) { if (col.size()) return; st[++st_top] = now; vis[now] = 1; for (int i = head[now]; i; i = ne[i]) if (to[i] != fa) { if (vis[to[i]]) { while (st_top > 0 && st[st_top] != to[i]) col.push_back(st[st_top]), st_top--; col.push_back(to[i]); del_e = i; return; } dfs(to[i], now); if (col.size()) return; } st_top--; } int fa[3005], son[3005]; int deep[3005], size[3005]; int top[3005]; void dfs1(int now) { deep[now] = deep[fa[now]] + 1; size[now] = 1; for (int i = head[now]; i; i = ne[i]) if (to[i] != fa[now]) { if (i == del_e || (i ^ 1) == del_e) continue; fa[to[i]] = now; dfs1(to[i]); size[now] += size[to[i]]; if (size[to[i]] > size[son[now]]) son[now] = to[i]; } } void dfs2(int now, int topf) { top[now] = topf; if (son[now]) dfs2(son[now], topf); for (int i = head[now]; i; i = ne[i]) if (to[i] != fa[now] && to[i] != son[now]) if (i != del_e && (i ^ 1) != del_e) dfs2(to[i], to[i]); } bool inc[3005]; vector<int> sol[3005]; void dfs3(int now, int fa, int id) { sol[id].push_back(now); for (int i = head[now]; i; i = ne[i]) if (to[i] != fa && inc[to[i]] == 0) dfs3(to[i], now, id); } double ans = 0; inline int lca(int x, int y) { while (top[x] != top[y]) { if (deep[top[x]] < deep[top[y]]) swap(x, y); x = fa[top[x]]; } if (deep[x] < deep[y]) return x; return y; } inline int dis(int x, int y) { return deep[x] + deep[y] - deep[lca(x, y)] * 2 + 1; } int bel[3005]; int disoc[3005], disoc_top; int main() { read(n); for (int i = 1, x, y; i <= n; i++) read(x, y), x++, y++, add(x, y), add(y, x); dfs(1, 1); dfs1(1); dfs2(1, 1); for (int i : col) inc[i] = 1; for (int i : col) dfs3(i, i, i); for (int i : col) for (int j : sol[i]) bel[j] = i; for (int i : col) disoc[i] = ++disoc_top; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (bel[i] == bel[j]) { ans += 1.0 / dis(i, j); continue; } int x = dis(i, bel[i]) + dis(j, bel[j]); int y = abs(disoc[bel[i]] - disoc[bel[j]]) - 1; int z = col.size() - y - 2; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int inf = 0x20202020; const int mod = 1000000007; template <class T> inline void read(T& x) { bool fu = 0; char c; for (c = getchar(); c <= 32; c = getchar()) ; if (c == '-') fu = 1, c = getchar(); for (x = 0; c > 32; c = getchar()) x = x * 10 + c - '0'; if (fu) x = -x; }; template <class T> inline void read(T& x, T& y) { read(x); read(y); } template <class T> inline void read(T& x, T& y, T& z) { read(x); read(y); read(z); } template <class T> inline void read(T& x, T& y, T& z, T& q) { read(x); read(y); read(z); read(q); } const int DX[] = {1, 0, -1, 0}, DY[] = {0, 1, 0, -1}; long long powmod(long long a, long long b) { long long res = 1; a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a % mod; a = a * a % mod; } return res; } long long powmod(long long a, long long b, long long mod) { long long res = 1; a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a % mod; a = a * a % mod; } return res; } long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } const int N = 111111, M = 111111; int l, m, n, t, C, ctot; int vis[N], cir[N], pt[N], dis[N], fa[N][22]; vector<int> a[N]; int dfs(int x, int f) { if (vis[x]) return x; vis[x] = 1; int t; for (int _tmp = ((int)(a[x]).size()) - 1, i = 0; i <= _tmp; ++i) if (a[x][i] != f) { if (t = dfs(a[x][i], x)) { cir[++ctot] = x; if (x == t) return 0; return t; } } else f = 0; return 0; } void dfs(int x) { for (int _tmp = ((int)(a[x]).size()) - 1, i = 0; i <= _tmp; ++i) if (!pt[a[x][i]]) { dis[a[x][i]] = dis[x] + 1; pt[a[x][i]] = pt[x]; fa[a[x][i]][0] = x; dfs(a[x][i]); } } int lca(int x, int y) { if (dis[x] > dis[y]) swap(x, y); for (int _tmp = 0, i = 20; i >= _tmp; --i) if (fa[y][i] && dis[fa[y][i]] >= dis[x]) y = fa[y][i]; if (x == y) return x; for (int _tmp = 0, i = 20; i >= _tmp; --i) if (fa[y][i] != fa[x][i]) y = fa[y][i], x = fa[x][i]; return fa[y][0]; } int main() { scanf("%d", &n); for (int _tmp = n, i = 1; i <= _tmp; ++i) scanf("%d%d", &l, &t), ++l, ++t, a[l].push_back(t), a[t].push_back(l); dfs(1, 0); for (int _tmp = ctot, i = 1; i <= _tmp; ++i) pt[cir[i]] = i; for (int _tmp = ctot, i = 1; i <= _tmp; ++i) dfs(cir[i]); for (int _tmp = 20, i = 1; i <= _tmp; ++i) for (int _tmp = n, j = 1; j <= _tmp; ++j) fa[j][i] = fa[fa[j][i - 1]][i - 1]; double ans = 0; for (int _tmp = n, i = 1; i <= _tmp; ++i) for (int _tmp = n, j = 1; j <= _tmp; ++j) if (i != j) { if (pt[i] == pt[j]) { int p = dis[i] + dis[j] - 2 * dis[lca(i, j)] + 1; ans += 1.0 / p; } else { int p1 = dis[i] + dis[j], p2 = abs(pt[i] - pt[j]), p3 = ctot - abs(pt[i] - pt[j]); ans += 1.0 / (p1 + p2 + 1) + 1.0 / (p1 + p3 + 1) - 1.0 / (p1 + p2 + p3); } } printf("%.9lf\n", ans + n); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class t> ostream &operator<<(ostream &tout, const vector<t> &s) { tout << '['; for (int i = 0; i < s.size(); i++) if (i + 1 == s.size()) tout << s[i]; else tout << s[i] << ','; tout << ']'; return (tout); } template <class a, class b> ostream &operator<<(ostream &tout, const pair<a, b> &c) { return (tout << '(' << c.first << ',' << c.second << ')'); } template <class T> struct __set__print { __set__print(ostream &out) : tout(out), count(0) {} void operator()(T x) { if (count > 0) tout << ','; tout << x; ++count; } ostream &tout; int count; }; template <class T> ostream &operator<<(ostream &tout, const set<T> &s) { tout << '{'; for_each(s.begin(), s.end(), __set__print<T>(tout)); return (tout << '}'); } template <class T, class Q> struct print_map { print_map(ostream &out) : tout(out), count(0) {} void operator()(const pair<T, Q> &x) { if (count > 0) tout << ','; tout << '(' << x.first << " => " << x.second << ')'; ++count; } ostream &tout; int count; }; template <class T, class Q> ostream &operator<<(ostream &tout, map<T, Q> s) { tout << '{'; for_each(s.begin(), s.end(), print_map<T, Q>(tout)); return (tout << '}'); } template <class T> string to_string(T s) { stringstream tin; tin << s; string res; getline(tin, res); return (res); } template <class T> vector<T> to_vector(T *s, int n) { vector<T> result; for (int i = 0; i < n; i++) result.push_back(s[i]); return (result); } const int MAX_N = 3000 + 20; int n; vector<int> e[MAX_N]; set<pair<int, int> > cycle; int dep[MAX_N]; bool mark[MAX_N]; int find_depth(int s, int t) { dep[s] = t; int v = 0; for (int i = 0; i < e[s].size(); i++) if (dep[e[s][i]]) { if (dep[e[s][i]] < t - 1) { v = e[s][i]; cycle.insert(pair<int, int>(s, e[s][i])); cycle.insert(pair<int, int>(e[s][i], s)); } } else { int q = find_depth(e[s][i], t + 1); if (q) { cycle.insert(pair<int, int>(s, e[s][i])); cycle.insert(pair<int, int>(e[s][i], s)); } if (q && q != s) v = q; } return (v); } double ans = 0; double f(pair<int, int> s) { if (s.second == 0) return (1.0 / (s.first + 1)); else { int nw = cycle.size() / 2 - s.second - 1; int q = s.first + cycle.size() / 2 - s.second * 2; return (1.0 / (s.first + 1) + 1.0 / (q + 1) - 1.0 / (s.first + nw + 1)); } } void dfs(int s, pair<int, int> t) { mark[s] = true; ans += f(t); for (int i = 0; i < e[s].size(); i++) if (!mark[e[s][i]]) { pair<int, int> q(t.first + 1, t.second); if (cycle.find(pair<int, int>(s, e[s][i])) != cycle.end()) q.second++; dfs(e[s][i], q); } } int main() { ios_base::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) { int a, b; cin >> a >> b; a++; b++; e[a].push_back(b); e[b].push_back(a); } find_depth(1, 3); ans = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) mark[j] = false; dfs(i, pair<int, int>(0, 0)); } cout << fixed; cout.precision(12); cout << ans << endl; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline T min(T &a, T &b) { return a < b ? a : b; } template <class T> inline T max(T &a, T &b) { return a > b ? a : b; } template <class T> void read(T &x) { char ch; while ((ch = getchar()) && !isdigit(ch)) ; x = ch - '0'; while ((ch = getchar()) && isdigit(ch)) x = x * 10 + ch - '0'; } long long Pow(long long a, long long b, long long Mod) { long long ans = 1; a %= Mod; for (; b; b >>= 1) ans = b & 1 ? (ans * a % Mod) : ans, a = a * a % Mod; return ans; } const int N = 3010; queue<int> Q; vector<int> E[N]; int n, Tree[N], dis[N], vis[N], rd[N], Ring[N], Rcnt; double Ans[N][N]; void dfs(int w, int Fa, int id) { if (Fa) Tree[w] = id; for (int i = 0; i < E[w].size(); i++) if (!Ring[E[w][i]] && E[w][i] != Fa) dfs(E[w][i], w, id); } void spfa(int S) { for (int i = 1; i <= n; i++) dis[i] = int(1e8), vis[i] = 0; dis[S] = 1; Q.push(S); while (Q.size()) { int x = Q.front(); Q.pop(); vis[x] = 0; for (int i = 0; i < E[x].size(); i++) if (dis[E[x][i]] > dis[x] + 1) { dis[E[x][i]] = dis[x] + 1; if (!vis[E[x][i]]) Q.push(E[x][i]), vis[E[x][i]] = 1; } } } int Dis_Min(int x, int y) { if (x > y) swap(x, y); return min(y - x + 1, Rcnt - y + 1 + x); } int Dis_Max(int x, int y) { if (x > y) swap(x, y); return max(y - x + 1, Rcnt - y + 1 + x); } int main() { scanf("%d", &n); int x, y; for (int i = 1; i <= n; i++) scanf("%d%d", &x, &y), x++, y++, rd[x]++, rd[y]++, E[x].push_back(y), E[y].push_back(x); for (int i = 1; i <= n; i++) if (rd[i] == 1) Q.push(i); while (Q.size()) { int x = Q.front(); Q.pop(); Tree[x] = 1; for (int i = 0; i < E[x].size(); i++) { rd[E[x][i]]--; if (rd[E[x][i]] == 1) Q.push(E[x][i]); } } int R1 = 0, Rn; for (int i = 1; i <= n; i++) if (!Tree[i]) { R1 = i; Ring[i] = ++Rcnt; break; } Rn = R1; while (1) { int flag = 0; for (int i = 0; i < E[Rn].size(); i++) if (!Tree[E[Rn][i]] && !Ring[E[Rn][i]]) { flag = 1; Ring[E[Rn][i]] = ++Rcnt; Rn = E[Rn][i]; break; } if (!flag) break; } for (int i = 1; i <= n; i++) if (!Tree[i]) dfs(i, 0, i); double ans = n; for (int i = 1; i <= n; i++) { spfa(i); for (int j = 1; j <= n; j++) if (j != i) { double aans = ans; if ((Tree[i] && Tree[i] == Tree[j]) || (Tree[i] == j) || (Tree[j] == i)) ans += 1. / dis[j]; else { if (Ring[i] && Ring[j]) { ans += 1. / Dis_Min(Ring[i], Ring[j]) + 1. / Dis_Max(Ring[i], Ring[j]) - 1. / Rcnt; } else if (Ring[i]) { ans += 1. / dis[j]; ans += 1. / (dis[j] - Dis_Min(Ring[i], Ring[Tree[j]]) + Dis_Max(Ring[i], Ring[Tree[j]])); ans -= 1. / (dis[j] - Dis_Min(Ring[i], Ring[Tree[j]]) + Rcnt); } else if (Ring[j]) { ans += 1. / dis[j]; ans += 1. / (dis[j] - Dis_Min(Ring[j], Ring[Tree[i]]) + Dis_Max(Ring[j], Ring[Tree[i]])); ans -= 1. / (dis[j] - Dis_Min(Ring[j], Ring[Tree[i]]) + Rcnt); } else { ans += 1. / dis[j]; ans += 1. / (dis[j] - Dis_Min(Ring[Tree[j]], Ring[Tree[i]]) + Dis_Max(Ring[Tree[j]], Ring[Tree[i]])); ans -= 1. / (dis[j] - Dis_Min(Ring[Tree[j]], Ring[Tree[i]]) + Rcnt); } } Ans[i][j] = ans - aans; } } printf("%.10lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 2e6 + 100; const int inf = 0x3f3f3f3f; const int iinf = 1 << 30; const long long linf = 2e18; const long long mod = 998244353; const double eps = 1e-7; template <class T = int> T read() { T f = 1, a = 0; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) { a = (a << 3) + (a << 1) + ch - '0'; ch = getchar(); } return a * f; } int n; vector<int> edge[maxn]; int vis[maxn]; double ans; int in[maxn], pos[maxn], len; int dep[maxn], top[maxn]; void find(int now, int step) { pos[now] = step; for (int to : edge[now]) { if (!in[to] || pos[to]) continue; find(to, step + 1); } } void get_tree(int now, int cnt, int fa = -1) { dep[now] = fa == -1 ? 1 : dep[fa] + 1, top[now] = cnt; for (int to : edge[now]) { if (to == fa || pos[to]) continue; get_tree(to, cnt, now); } } void init() { queue<int> q; len = n; for (register int i = (0); i <= (n - 1); ++i) if (in[i] == 1) q.push(i); while (!q.empty()) { int now = q.front(); q.pop(); len--; for (int to : edge[now]) { if (!in[now]) continue; in[to]--, in[now]--; if (in[to] == 1) q.push(to); } } int now = 0; for (register int i = (0); i <= (n - 1); ++i) if (in[i]) now = i; find(now, 1); for (register int i = (0); i <= (n - 1); ++i) if (pos[i]) get_tree(i, i); } void dfs(int now, int way, int start) { vis[now] = 1; if (top[now] == top[start]) ans += 1.0 / way; else { int cir = abs(pos[top[now]] - pos[top[start]]); ans += 1.0 / (dep[now] + dep[start] + cir - 1), ans += 1.0 / (dep[now] + dep[start] + len - cir - 1); ans -= 1.0 / (dep[now] + dep[start] + len - 2); } for (int to : edge[now]) if (!vis[to]) dfs(to, way + 1, start); } void solve(int now) { for (register int i = (0); i <= (n - 1); ++i) vis[i] = 0; dfs(now, 1, now); } signed main() { scanf("%d", &n); for (register int i = (1); i <= (n); ++i) { int u, v; scanf("%d %d", &u, &v); edge[u].push_back(v), edge[v].push_back(u); in[u]++, in[v]++; } init(); for (register int i = (0); i <= (n - 1); ++i) solve(i); printf("%.114514lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> #pragma GCC optimize("O2,Ofast,inline,unroll-all-loops,-ffast-math") #pragma GCC target("popcnt") using namespace std; int stk[3010], n, top = 0; long double ans = 0; bool in[3010], loop[3010], found = false; vector<int> nxt[3010]; vector<pair<int, int> > vec[3010]; template <class T> void read(T &x) { char ch = x = 0; bool fl = false; while (!isdigit(ch)) fl |= ch == '-', ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); x = fl ? -x : x; } void find_loop(int x, int fa) { if (found) return; if (in[x]) { loop[x] = true; while (stk[top] != x) { loop[stk[top--]] = true; } return found = true, void(); } in[x] = true, stk[top++] = x; for (auto &v : nxt[x]) { if (v != fa) find_loop(v, x); } in[x] = false, top--; } void dfs(int x, int val, int dep) { if (loop[x] && !val) val = -dep; if (!loop[x] && val < 0) val += dep - 2; in[x] = true; vec[x].emplace_back(dep, val + (dep - 1) * loop[x]); for (auto &v : nxt[x]) { if (!in[v]) dfs(v, val, dep + 1); } in[x] = false; } int main() { cin >> n; for (int i = 1, u, v; i <= n; i++) { cin >> u >> v, nxt[++u].push_back(++v), nxt[v].push_back(u); } find_loop(1, 0); for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { vec[j].clear(); } dfs(i, 0, 1); for (int j = 1; j <= i; j++) { if (vec[j].size() == 1) { ans += 1.0 / vec[j][0].first * (j != i ? 2 : 1); continue; } int a = vec[j][0].second, b = vec[j][1].second, c = (vec[j][0].first + vec[j][1].first - a - b) / 2; ans += 2.0 * a / (a + b + c) / (b + c) + 2.0 * b / (a + b + c) / (a + c) + 2.0 / (a + b + c); } } cout << fixed << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; struct edge { int v; int next; edge() {} edge(int v, int next) : v(v), next(next) {} } e[6004]; int ind[3004]; bool vzt[3004]; int stk[3004]; int top, newedge; int circle_len; bool oncircle[3004]; int d[3]; int path_on_circle; double ans; void addedge(int u, int v) { e[++newedge] = edge(v, ind[u]); ind[u] = newedge; } void findcircle(int u, int fa) { vzt[u] = true; stk[++top] = u; for (int i = ind[u]; i; i = e[i].next) { if (circle_len) return; int v = e[i].v; if (v == fa) continue; if (vzt[v]) { while (stk[top + 1] != v) { oncircle[stk[top--]] = true; circle_len++; } } else findcircle(v, u); } if (top > 0) top--; } void dfs(int u, int flag) { if (flag == 0 && oncircle[u]) flag = 1; if (flag == 1 && !oncircle[u]) flag = 2; d[flag]++; vzt[u] = true; if (flag == 0 || d[1] == 1) ans += 1.0 / (d[0] + d[1] + d[2]); else ans += 1.0 / (d[0] + d[1] + d[2]) + 1.0 / (d[0] + circle_len + 2 - d[1] + d[2]) - 1.0 / (d[0] + circle_len + d[2]); for (int i = ind[u]; i; i = e[i].next) { int v = e[i].v; if (!vzt[v]) dfs(v, flag); } d[flag]--; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { int u, v; scanf("%d%d", &u, &v); u++, v++; addedge(u, v); addedge(v, u); } findcircle(1, -1); for (int i = 1; i <= n; i++) { memset(vzt, 0, sizeof(vzt)); memset(d, 0, sizeof(d)); dfs(i, 0); } printf("%lf", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; struct _ { ios_base::Init i; _() { cin.sync_with_stdio(0); cin.tie(0); } } _; vector<bool> isOnC; struct Edge { int a, b; }; int t, k; int n; int temp = -1; int cLength = 0; vector<bool> isMarked; vector<vector<int> > e; vector<vector<int> > dist; double sum = 0.0; int source = -1; void dfs(int a, int d, int cD) { if (dist[source][a] == -1) { dist[source][a] = d; dist[a][source] = d; int x, y, z; if (cD >= 2) { x = d - cD + 2; y = cD - 2; z = cLength - cD; } else { x = d; y = z = 0; } double t = 2.0; if (source == a) t = 1.0; ; ; ; ; sum += t * (1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z)); } isMarked[a] = true; for (int i = 0; i < e[a].size(); ++i) { if (!isMarked[e[a][i]]) { dfs(e[a][i], d + 1, cD + isOnC[e[a][i]]); } } } void findCycle(int p, int a) { if (isMarked[a]) { isOnC[a] = true; temp = a; ; cLength++; return; } isMarked[a] = true; for (int i = 0; i < e[a].size(); ++i) { if (e[a][i] != p) findCycle(a, e[a][i]); if (temp == a) { temp = -1; return; } else if (temp != -1) { ; ++cLength; isOnC[a] = true; return; } } } int main() { cin >> n; isOnC.assign(n, false); e.assign(n, vector<int>()); int a, b; for (int i = 0; i < n; ++i) { cin >> a >> b; e[a].push_back(b); e[b].push_back(a); } isMarked.assign(n, false); temp = -1; findCycle(-1, 0); dist.assign(n, vector<int>(n, -1)); for (int i = 0; i < n; ++i) { source = i; isMarked.assign(n, false); dfs(i, 1, isOnC[i]); } cout << fixed << setprecision(8) << sum << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; inline long long rd() { long long _x = 0; int _ch = getchar(), _f = 1; for (; !isdigit(_ch) && (_ch != '-') && (_ch != EOF); _ch = getchar()) ; if (_ch == '-') { _f = 0; _ch = getchar(); } for (; isdigit(_ch); _ch = getchar()) _x = _x * 10 + _ch - '0'; return _f ? _x : -_x; } void write(long long _x) { if (_x >= 10) write(_x / 10), putchar(_x % 10 + '0'); else putchar(_x + '0'); } inline void wrt(long long _x, char _p) { if (_x < 0) putchar('-'), _x = -_x; write(_x); if (_p) putchar(_p); } int nx[3005 << 1], to[3005 << 1], hd[3005], cnt; inline void add(int u, int v) { nx[++cnt] = hd[u], to[cnt] = v, hd[u] = cnt; } int sta[3005], top; int in[3005], len, n; bool vis[3005], flag; void dfs(int u, int fa) { sta[++top] = u, vis[u] = 1; for (int i = hd[u]; i; i = nx[i]) if (to[i] != fa) { if (!vis[to[i]]) dfs(to[i], u); else { flag = 1; while (sta[top + 1] != to[i]) { in[sta[top]] = 1, top--, len++; } return; } if (flag) return; } top--; } double Ans; void solve(int x, int y) { if (y <= 1) Ans += 1 / double(x); else { int Sum = x - y + len; Ans -= 1 / double(Sum); Ans += 1 / double(Sum - (y - 2)); Ans += 1 / double(Sum - (len - y)); } } void DFS(int u, int len1, int len2) { vis[u] = 1, solve(len1, len2); for (int i = hd[u]; i; i = nx[i]) if (!vis[to[i]]) DFS(to[i], len1 + 1, len2 + in[to[i]]); } int main() { n = rd(); for (int i = int(1); i <= (int)(n); i++) { int x = rd() + 1, y = rd() + 1; add(x, y), add(y, x); } dfs(1, 0); for (int i = int(1); i <= (int)(n); i++) { memset(vis, 0, sizeof vis); DFS(i, 1, in[i]); } printf("%.10lf\n", Ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxN = 3000 + 5; int n; vector<int> G[maxN]; vector<int> loop; int no[maxN]; bool vis[maxN]; int stk[maxN], len = 0; bool DFS(int u, int fa) { stk[len++] = u; vis[u] = true; for (int v : G[u]) if (v != fa) { if (vis[v]) { do { len--; loop.push_back(stk[len]); no[stk[len]] = (int)loop.size() - 1; } while (stk[len] != v); return true; } else { if (DFS(v, u)) return true; } } --len; return false; } double ans = 0; vector<int> l[maxN]; void Go(int u, int fa) { l[u].assign(1, 0); for (int v : G[u]) if (v != fa) { Go(v, u); for (int x : l[u]) for (int y : l[v]) { ans += 1.0 / (x + y + 1 + 1); } for (int y : l[v]) l[u].push_back(y + 1); l[v].clear(); } } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 0; i < n; ++i) { int x, y; cin >> x >> y; G[x].push_back(y); G[y].push_back(x); } memset(vis, 0, sizeof(vis)); memset(no, -1, sizeof(no)); bool foundCycle = DFS(0, -1); assert(foundCycle); for (int u : loop) { for (auto i = G[u].begin(); i != G[u].end(); ++i) if (no[*i] >= 0) { G[u].erase(i); break; } for (auto i = G[u].begin(); i != G[u].end(); ++i) if (no[*i] >= 0) { G[u].erase(i); break; } Go(u, -1); } for (int A : loop) for (int B : loop) { int i = no[A], j = no[B]; if (i >= j) continue; int x = j - i, y = (int)loop.size() + i - j; for (int u : l[A]) for (int v : l[B]) { ans += 1.0 / (u + v + x + 1) + 1.0 / (u + v + y + 1) - 1.0 / (u + v + x + y); } } cout << fixed << setprecision(10) << ans * 2.0 + n << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <class T> inline void rd(T &x) { char ch; x = 0; bool fl = false; while (!isdigit(ch = getchar())) (ch == '-') && (fl = true); for (x = (ch ^ '0'); isdigit(ch = getchar()); x = x * 10 + (ch ^ '0')) ; (fl == true) && (x = -x); } template <class T> inline void output(T x) { if (x / 10) output(x / 10); putchar(x % 10 + '0'); } template <class T> inline void ot(T x) { if (x < 0) putchar('-'), x = -x; output(x); putchar(' '); } template <class T> inline void prt(T a[], int st, int nd) { for (register int i = st; i <= nd; ++i) ot(a[i]); putchar('\n'); } namespace Miracle { const int N = 3003; int n; struct node { int nxt, to; } e[2 * N]; int hd[N], cnt; void add(int x, int y) { e[++cnt].nxt = hd[x]; e[cnt].to = y; hd[x] = cnt; } int sta[N], top; bool vis[N]; bool fl; int on[N], mem[N], num; void fin(int x, int fa) { sta[++top] = x; vis[x] = 1; for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (y == fa) continue; if (vis[y]) { if (!fl) { fl = true; int z; do { z = sta[top--]; mem[++num] = z; on[z] = num; } while (z != y); } } else fin(y, x); } if (sta[top] == x) sta[top--] = 0; } int be[N]; int dis[N]; void dfs(int x, int fa, int rt) { be[x] = rt; for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (y == fa) continue; if (on[y]) continue; dis[y] = dis[x] + 1; dfs(y, x, rt); } } double ans; int rt; void sol(int x, int d) { vis[x] = 1; if (x != rt) { if (be[x] == be[rt]) { ans += (double)1.0 / ((double)d); } else { int a = dis[rt] + dis[x], b = abs(on[be[x]] - on[be[rt]]) - 1, c = num - 2 - b; ans += (double)1.0 / ((double)a + b) + (double)1.0 / ((double)a + c) - (double)1.0 / ((double)a + b + c); } } for (register int i = hd[x]; i; i = e[i].nxt) { int y = e[i].to; if (vis[y]) continue; sol(y, d + 1); } } int main() { rd(n); int x, y; for (register int i = 1; i <= n; ++i) { rd(x); rd(y); ++x; ++y; add(x, y); add(y, x); } fin(1, 0); for (register int i = 1; i <= num; ++i) { dis[mem[i]] = 1; dfs(mem[i], 0, mem[i]); } for (register int i = 1; i <= n; ++i) { memset(vis, 0, sizeof vis); rt = i; sol(i, 1); } ans += n; printf("%.10lf", ans); return 0; } } // namespace Miracle signed main() { Miracle::main(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, tot; const int N = 3005; int head[N], to[N << 1], nt[N << 1]; inline int read() { int res = 0; char ch = getchar(); bool XX = false; for (; !isdigit(ch); ch = getchar()) (ch == '-') && (XX = true); for (; isdigit(ch); ch = getchar()) res = (res << 3) + (res << 1) + (ch ^ 48); return XX ? -res : res; } void add(int f, int t) { to[++tot] = t; nt[tot] = head[f]; head[f] = tot; } namespace solve2 { int top, tot; double ans; int in[N], zhan[N], cir[N], incir[N], belong[N], f[N][15], dep[N]; int findcir(int x, int fa) { if (in[x]) { int t; do { t = zhan[top--]; incir[t] = 1; cir[++tot] = t; } while (x != t); return 1; } zhan[++top] = x; in[x] = 1; for (int i = head[x]; i; i = nt[i]) if (to[i] != fa && findcir(to[i], x)) return 1; in[x] = 0; --top; return 0; } void dfs(int x, int fa, int c) { belong[x] = c; f[x][0] = fa; dep[x] = dep[fa] + 1; for (int i = 1; i < 15; ++i) f[x][i] = f[f[x][i - 1]][i - 1]; for (int i = head[x]; i; i = nt[i]) if (!incir[to[i]] && to[i] != fa) dfs(to[i], x, c); } int LCA(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int i = 14; i >= 0; --i) if (dep[f[x][i]] >= dep[y]) x = f[x][i]; if (x == y) return x; for (int i = 14; i >= 0; --i) if (f[x][i] != f[y][i]) x = f[x][i], y = f[y][i]; return f[x][0]; } int Dis(int x, int y) { return dep[x] + dep[y] - 2 * dep[LCA(x, y)] + 1; } int jue(int x) { return x > 0 ? x : -x; } void work() { findcir(1, 0); for (int i = 1; i <= tot; ++i) dfs(cir[i], 0, i); for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) { if (belong[i] == belong[j]) ans += 1.0 / Dis(i, j); else { int x = dep[i] + dep[j], y = jue(belong[i] - belong[j]) - 1, z = tot - 2 - y; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%0.7f", ans); } } // namespace solve2 int main() { cin >> n; for (int i = 1, x, y; i <= n; ++i) { x = read() + 1; y = read() + 1; add(x, y); add(y, x); } solve2::work(); fclose(stdin); fclose(stdout); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, tot, top, cnt; int head[3100], nex[3100 << 1], to[3100 << 1]; int st[3100], deep[3100], cir[3100], inc[3100]; double ans; vector<int> vec[3100]; void add(int x, int y) { tot++; nex[tot] = head[x]; head[x] = tot; to[tot] = y; } void dfs(int x, int y) { st[++top] = x; for (int i = head[x]; i; i = nex[i]) if (i != (y ^ 1)) { if (!deep[to[i]]) deep[to[i]] = deep[x] + 1, dfs(to[i], i); else if (deep[to[i]] < deep[x]) { for (int j = top; st[j] != to[i]; j--) cir[++cnt] = st[j], inc[st[j]] = 1; cir[++cnt] = to[i]; inc[to[i]] = 1; } } top--; } void cal(int x, int y, int tar) { deep[x] = deep[y] + 1; vec[tar].push_back(deep[x]); for (int i = head[x]; i; i = nex[i]) if (to[i] != y && !inc[to[i]]) cal(to[i], x, tar); } double get(int v1, int v2, int v3) { return 1.0 / (v3 + v2) + 1.0 / (v3 + v1) - 1.0 / (v1 + v2 + v3); } void dfs1(int x, int y, int dep) { ans += 1.0 / dep; for (int i = head[x]; i; i = nex[i]) if (to[i] != y) { if (inc[x] && inc[to[i]]) continue; dfs1(to[i], x, dep + 1); } } int main() { scanf("%d", &n); tot = 1; for (int i = 1, x, y; i <= n; i++) { scanf("%d%d", &x, &y); x++; y++; add(x, y); add(y, x); } deep[1] = 1; dfs(1, 0); for (int i = 1; i <= cnt; i++) cal(cir[i], 0, i); for (int i = 1; i <= cnt; i++) for (int j = i + 1; j <= cnt; j++) { int c1 = j - i - 1, c2 = cnt - c1 - 2; for (int k = 0; k < vec[i].size(); k++) for (int w = 0; w < vec[j].size(); w++) ans += get(c1, c2, vec[i][k] + vec[j][w]) * 2; } for (int i = 1; i <= n; i++) dfs1(i, 0, 1); printf("%.7lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; struct Edge { int src, dst, rev; int weight; Edge(int src, int dst, int weight = 1, int rev = -1) : src(src), dst(dst), weight(weight), rev(rev) {} }; bool operator<(const Edge &e, const Edge &f) { return e.weight != f.weight ? e.weight > f.weight : e.src != f.src ? e.src < f.src : e.dst < f.dst; } void addBiEdge(vector<vector<Edge> > &g, int from, int to, int w = 1) { while (g.size() < max(from, to) + 1) g.push_back(vector<Edge>()); g[from].push_back(Edge(from, to, w, g[to].size())); g[to].push_back(Edge(to, from, w, g[from].size() - 1)); } void addEdge(vector<vector<Edge> > &g, int from, int to, int w = 1) { while (g.size() < from + 1) g.push_back(vector<Edge>()); g[from].push_back(Edge(from, to, w)); } struct IO { } io; IO &operator>>(IO &io, int &n) { scanf("%d", &n); return io; } IO &operator>>(IO &io, unsigned int &n) { scanf("%u", &n); return io; } IO &operator>>(IO &io, long long &n) { scanf("%lld", &n); return io; } IO &operator>>(IO &io, unsigned long long &n) { scanf("%llu", &n); return io; } IO &operator>>(IO &io, double &n) { scanf("%lf", &n); return io; } IO &operator>>(IO &io, long double &n) { scanf("%Lf", &n); return io; } IO &operator>>(IO &io, char *c) { scanf("%s", c); return io; } IO &operator<<(IO &io, const int &n) { printf("%d", n); return io; } IO &operator<<(IO &io, const unsigned int &n) { printf("%u", n); return io; } IO &operator<<(IO &io, const long long &n) { printf("%lld", n); return io; } IO &operator<<(IO &io, const unsigned long long &n) { printf("%llu", n); return io; } IO &operator<<(IO &io, const double &n) { printf("%lf", n); return io; } IO &operator<<(IO &io, const long double &n) { printf("%Lf", n); return io; } IO &operator<<(IO &io, const char c[]) { printf("%s", c); return io; } template <class T> IO &operator>>(IO &io, vector<T> &v) { int n; scanf("%d", &n); for (int i = 0; i < (int)(n); ++i) { T t; io >> t; v.push_back(t); } } int n; vector<vector<Edge> > g; int parent[3010], dist[3010], cparent[3010], cdist[3010]; int cycle_pos[3010]; bool vis[3010]; vector<int> v[3010]; vector<int> c; void find_cycle(int u = 0, int d = 0, int p = -1) { if (vis[u]) { int p0 = p, p1 = parent[u]; vector<int> c0, c1; while (p0 != p1) { if (dist[p0] > dist[p1]) { c0.push_back(p0); p0 = parent[p0]; } else { c1.push_back(p1); p1 = parent[p1]; } } reverse((c1).begin(), (c1).end()); c.clear(); c.push_back(u); c.insert(c.end(), (c0).begin(), (c0).end()); c.push_back(p0); c.insert(c.end(), (c1).begin(), (c1).end()); return; } vis[u] = true; parent[u] = p; dist[u] = d; for (typeof((g[u]).begin()) e = (g[u]).begin(); e != (g[u]).end(); ++e) { if (e->dst == p) continue; find_cycle(e->dst, d + 1, u); } } double ans = 0.0L; void dfs(int u, int anc, int p = -1, int d = 0) { cparent[u] = anc; cdist[u] = d; for (typeof((g[u]).begin()) e = (g[u]).begin(); e != (g[u]).end(); ++e) { if (e->dst == p or cycle_pos[e->dst] >= 0) continue; dfs(e->dst, anc, u, d + 1); } } void dfs2(int u, int anc, int p = -1, int d = 0) { ans += 1 / (double)(d + 1); for (typeof((g[u]).begin()) e = (g[u]).begin(); e != (g[u]).end(); ++e) { if (e->dst == p or (cycle_pos[e->dst] >= 0 and e->dst != anc)) continue; dfs2(e->dst, anc, u, d + 1); } } int main() { io >> n; g.assign(n, vector<Edge>()); for (int i = 0; i < (int)(n); ++i) { int a, b; io >> a >> b; addBiEdge(g, a, b); } memset((vis), 0, sizeof(vis)); memset((cycle_pos), -1, sizeof(cycle_pos)); find_cycle(); for (int i = 0; i < (int)(c.size()); ++i) cycle_pos[c[i]] = i; for (int i = 0; i < (int)(c.size()); ++i) dfs(c[i], c[i]); for (int u = 0; u < (int)(n); ++u) { int u0 = cparent[u]; for (int v = 0; v < (int)(n); ++v) { int v0 = cparent[v]; if (u0 == v0) continue; int A = abs(cycle_pos[u0] - cycle_pos[v0]), B = c.size() - A; A--; B--; int s = cdist[u] + cdist[v] + c.size(); ans += 1 / (double)(s - A) + 1 / (double)(s - B) - 1 / (double)s; } } for (int u = 0; u < (int)(n); ++u) dfs2(u, cparent[u]); printf("%.10lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; const int N = 3003; int n, L, top, cir[N], stk[N], cnt[N], bel[N], dep[N], fa[N]; double ans; vector<int> nxt[N]; void dfs(int u, int lst) { dep[u] = dep[lst] + 1, fa[u] = lst; for (auto v : nxt[u]) if (v != lst) { if (!dep[v]) dfs(v, u); else if (dep[v] < dep[u]) { int now = u; cir[++L] = now; do { now = fa[now], cir[++L] = now; } while (now != v); } } } void get(int u) { stk[++top] = u; for (auto v : nxt[u]) if (!bel[v]) bel[v] = bel[u], get(v); } void DFS(int u, int lst) { dep[u] = dep[lst] + 1; for (auto v : nxt[u]) if (bel[v] == bel[u] && v != lst) DFS(v, u); } int main() { cin >> n; for (int i = 1; i <= n; ++i) { int p, q; cin >> p >> q; ++p, ++q; nxt[p].push_back(q); nxt[q].push_back(p); } dfs(1, 0); for (int i = 1; i <= L; ++i) bel[cir[i]] = i; for (int i = 1; i <= L; ++i) { top = 0; get(cir[i]); for (int j = 1; j <= top; ++j) { DFS(stk[j], 0); for (int k = 1; k <= top; ++k) ++cnt[dep[stk[k]]]; } DFS(cir[i], 0); } for (int i = 1; i <= n; ++i) ans += 1 / (double)i * cnt[i]; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (bel[i] != bel[j]) { int x = abs(bel[i] - bel[j]) - 1, y = L - 2 - x; ans += 1 / (double)(dep[i] + dep[j] + x) + 1 / (double)(dep[i] + dep[j] + y) - 1 / (double)(dep[i] + dep[j] + x + y); } printf("%.10lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int p[6010], n1[6010], h[6010], ee = 0, n; int pre[6010], cir[6010], iscir[6010], cirtot = 0, tmp[6010], id[6010], bl[6010], d[6010]; bool vis[3010][3010]; double ans = 0; void ae(int x, int y) { p[ee] = y; n1[ee] = h[x]; h[x] = ee++; } void dfs(int u, int fa) { tmp[u] = 1; for (int i = h[u]; ~i; i = n1[i]) { if (cir[1]) return; if (p[i] == fa || tmp[p[i]] == 2) continue; pre[p[i]] = u; if (tmp[p[i]] == 1) { if (!cir[1]) cir[1] = p[i]; return; } dfs(p[i], u); } tmp[u] = 2; } void dd(int rt, int u, int fa) { bl[u] = rt; for (int i = h[u]; ~i; i = n1[i]) { if (p[i] == fa || iscir[p[i]]) continue; d[p[i]] = d[u] + 1; dd(rt, p[i], u); } } void count(int u, int v, int fa, int x, int y) { int z = d[u] + d[v]; ans += (double)2 * ((double)1 / (double)(z + x) + (double)1 / (double)(z + y) - (double)1 / (double)(x + y + z)); for (int i = h[v]; ~i; i = n1[i]) { if (iscir[p[i]] || p[i] == fa) continue; count(u, p[i], v, x, y); } } void count2(int u, int fa, int v, int x, int y) { count(u, v, 0, x, y); for (int i = h[u]; ~i; i = n1[i]) { if (iscir[p[i]] || p[i] == fa) continue; count2(p[i], u, v, x, y); } } void tr(int u, int fa, int dep) { ans += (double)1 / (double)dep; for (int i = h[u]; ~i; i = n1[i]) { if (p[i] != bl[u] && iscir[p[i]]) continue; if (p[i] == fa) continue; tr(p[i], u, dep + 1); } } int main() { scanf("%d", &n); int x, y; memset(h, -1, sizeof(h)); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); ++x; ++y; ae(y, x); ae(x, y); } dfs(1, 0); iscir[cir[1]] = 1; x = pre[cir[1]]; while (x != cir[1]) { cir[++cirtot] = x; iscir[x] = 1; x = pre[x]; } for (int i = 1; i <= cirtot; i++) { id[cir[i]] = i; d[cir[i]] = 1; dd(cir[i], cir[i], 0); } for (int i = 1; i <= cirtot; i++) for (int j = i + 1; j <= cirtot; j++) count2(cir[i], 0, cir[j], j - i - 1, cirtot - (j - i + 1)); for (int i = 1; i <= n; i++) tr(i, 0, 1); printf("%.10lf\n", (double)ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; template <typename T> inline T read() { register T sum = 0; register char cc = getchar(); int sym = 1; while (cc != '-' && (cc > '9' || cc < '0')) cc = getchar(); if (cc == '-') sym = -1, cc = getchar(); sum = sum * 10 + cc - '0'; cc = getchar(); while (cc >= '0' && cc <= '9') sum = sum * 10 + cc - '0', cc = getchar(); return sym * sum; } template <typename T> inline T read(T &a) { a = read<T>(); return a; } template <typename T, typename... Others> inline void read(T &a, Others &...b) { a = read(a); read(b...); } struct Edge { int v; Edge *next; Edge(int a = 0, Edge *b = NULL) { v = a; next = b; } } * head[3010]; int n, cnt, tp, sta[3010], in[3010], cir[3010], dep[3010], vis[3010], rnk[3010], col[3010]; double ans; bool dfs1(int k, int fa) { sta[++tp] = k; vis[k] = true; for (Edge *i = head[k]; i != NULL; i = i->next) { if (i->v == fa) continue; if (vis[i->v]) { int x = 0; while (tp && x != i->v) { x = sta[tp--]; cir[++cnt] = x; rnk[x] = cnt; in[x] = true; } return true; } if (dfs1(i->v, k)) return true; } vis[k] = false; tp -= 1; return false; } void dfs2(int k, int fa, int rt) { col[k] = rt; dep[k] = dep[fa] + 1; for (Edge *i = head[k]; i != NULL; i = i->next) if (i->v != fa && !in[i->v]) dfs2(i->v, k, rt); } void dfs3(int k, int fa, int dis) { ans += 1. / dis; for (Edge *i = head[k]; i != NULL; i = i->next) if (i->v != fa && (i->v == col[k] || !in[i->v])) dfs3(i->v, k, dis + 1); } int main() { read(n); for (int i = 1; i <= n; i++) { int x, y; read(x, y); x += 1, y += 1; head[x] = new Edge(y, head[x]); head[y] = new Edge(x, head[y]); } dfs1(1, 0); for (int i = 1; i <= cnt; i++) dfs2(cir[i], 0, cir[i]); for (int i = 1; i <= n; i++) { dfs3(i, 0, 1); for (int j = 1; j <= n; j++) { if (col[i] == col[j]) continue; ans += 1. / (dep[i] + dep[j] + abs(rnk[col[i]] - rnk[col[j]]) - 1); ans += 1. / (dep[i] + dep[j] + cnt - abs(rnk[col[i]] - rnk[col[j]]) - 1); ans -= 1. / (dep[i] + dep[j] + cnt - 2); } } printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int head[3010]; int from[3010]; int to[6010]; int nex[6010]; int dep[3010]; int q[3010]; int cnt; int vis[3010]; int bel[3010]; double ans; int tot; int x, y, n; int f[3010][15]; void add(int x, int y) { nex[++tot] = head[x]; head[x] = tot; to[tot] = y; } bool dfs(int x, int fa) { vis[x] = 1; for (int i = head[x]; i; i = nex[i]) { if (to[i] != fa) { if (vis[to[i]]) { for (int j = x; j != to[i]; j = from[j]) { q[++cnt] = j; } q[++cnt] = to[i]; return true; } else { from[to[i]] = x; if (dfs(to[i], x)) { return true; } } } } return false; } void find(int x, int fa, int rt) { bel[x] = rt; dep[x] = dep[fa] + 1; f[x][0] = fa; for (int i = 1; i <= 13; i++) { f[x][i] = f[f[x][i - 1]][i - 1]; } for (int i = head[x]; i; i = nex[i]) { if (to[i] != fa && !vis[to[i]]) { find(to[i], x, rt); } } } int lca(int x, int y) { if (dep[x] < dep[y]) { swap(x, y); } int d = dep[x] - dep[y]; for (int i = 0; i <= 13; i++) { if (d & (1 << i)) { x = f[x][i]; } } if (x == y) { return x; } for (int i = 13; i >= 0; i--) { if (f[x][i] != f[y][i]) { x = f[x][i]; y = f[y][i]; } } return f[x][0]; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++, y++; add(x, y); add(y, x); } dfs(1, 0); memset(vis, 0, sizeof(vis)); for (int i = 1; i <= cnt; i++) { vis[q[i]] = 1; } for (int i = 1; i <= cnt; i++) { find(q[i], 0, i); } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (bel[i] == bel[j]) { ans += (double)1 / (dep[i] + dep[j] - 2 * dep[lca(i, j)] + 1); } else { int X = dep[i] + dep[j]; int Y = abs(bel[i] - bel[j]) - 1; int Z = cnt - Y - 2; ans += (double)1 / (X + Y) + (double)1 / (X + Z) - (double)1 / (X + Y + Z); } } } printf("%.7f", ans); }
10
CPP
#include <bits/stdc++.h> int fr[3010], ne[6010], v[6010], bs = 0; void addb(int a, int b) { v[bs] = b; ne[bs] = fr[a]; fr[a] = bs++; } int bk[3010], sd[3010], hu[3010], fa[3010], sl = 0; void dfs1(int u, int f) { bk[u] = 1; fa[u] = f; sd[u] = sd[f] + 1; for (int i = fr[u]; i != -1; i = ne[i]) { if (v[i] == f) continue; if (bk[v[i]]) { if (sd[v[i]] < sd[u]) { int t = u; while (1) { hu[sl++] = t; if (t == v[i]) break; t = fa[t]; } } } else dfs1(v[i], u); } } int hd[3010], ro[3010], lc[3010][3010], wz[3010]; void dfs2(int u, int f, int rt) { fa[u] = f; ro[u] = rt; sd[u] = sd[f] + 1; for (int i = fr[u]; i != -1; i = ne[i]) { if (v[i] == f || hd[v[i]]) continue; dfs2(v[i], u, rt); } } int dfs3(int a, int b) { if (a == b) return lc[a][b] = a; if (lc[a][b]) return lc[a][b]; if (sd[a] > sd[b]) lc[a][b] = dfs3(fa[a], b); else lc[a][b] = dfs3(a, fa[b]); return lc[a][b]; } int getdis(int a, int b) { int l = dfs3(a, b); return sd[a] + sd[b] - sd[l] * 2 + 1; } int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) fr[i] = -1; for (int i = 0; i < n; i++) { int a, b; scanf("%d%d", &a, &b); a += 1; b += 1; addb(a, b); addb(b, a); } dfs1(1, 0); for (int i = 0; i < sl; i++) { hd[hu[i]] = 1; wz[hu[i]] = i; } for (int i = 0; i < sl; i++) dfs2(hu[i], 0, hu[i]); double ans = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (ro[i] == ro[j]) ans += 1.0 / getdis(i, j); else { int a = sd[i] + sd[j]; int b = wz[ro[i]] - wz[ro[j]]; if (b < 0) b = -b; b -= 1; int c = sl - 2 - b; ans += 1.0 / (a + b); ans += 1.0 / (a + c); ans -= 1.0 / (a + b + c); } } } printf("%.10lf", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int maxn = 3010; double ans = 0; int n, l[maxn], e = 0; int deg[maxn], dep[maxn], a[maxn], tot; vector<int> sub[maxn], son[maxn]; struct Edge { int v, x; } E[maxn << 1]; inline void addEdge(int u, int v) { E[e].v = v, E[e].x = l[u], l[u] = e++; } void dfs(int u) { sub[u].push_back(u); for (int i = 0; i < son[u].size(); i++) { int v = son[u][i]; dep[v] = dep[u] + 1; dfs(v); for (int _1 = 0; _1 < sub[u].size(); _1++) { for (int _2 = 0; _2 < sub[v].size(); _2++) { int x = sub[u][_1], y = sub[v][_2]; int d = dep[x] + dep[y] - 2 * dep[u] + 1; ans += double(1) / d; } } for (int _ = 0; _ < sub[v].size(); _++) sub[u].push_back(sub[v][_]); } } int main() { memset(l, -1, sizeof(l)); scanf("%d", &n); for (int i = 1; i <= n; i++) { int u, v; scanf("%d%d", &u, &v); ++u, ++v; addEdge(u, v), addEdge(v, u); ++deg[u], ++deg[v]; } queue<int> Q; for (int i = 1; i <= n; i++) if (deg[i] == 1) Q.push(i); while (!Q.empty()) { int u = Q.front(); Q.pop(); for (int p = l[u]; p >= 0; p = E[p].x) { int v = E[p].v; if (deg[v] >= 2) { --deg[v]; if (deg[v] == 1) Q.push(v); son[v].push_back(u); } } } for (int i = 1; i <= n; i++) { if (deg[i] >= 2) { int u = i, last = 0; do { for (int p = l[u]; p >= 0; p = E[p].x) { int v = E[p].v; if (deg[v] >= 2 && v != last) { last = u; u = v; break; } } a[++tot] = u; } while (u != i); break; } } for (int i = 1; i <= n; i++) { if (deg[i] >= 2) { dfs(i); } } for (int i = 1; i <= tot; i++) { for (int j = i + 1; j <= tot; j++) { for (int _1 = 0; _1 < sub[a[i]].size(); _1++) { for (int _2 = 0; _2 < sub[a[j]].size(); _2++) { int u = sub[a[i]][_1], v = sub[a[j]][_2]; ans += double(1) / (dep[u] + dep[v] + j - i + 1); ans += double(1) / (dep[u] + dep[v] + tot - j + i + 1); ans -= double(1) / (dep[u] + dep[v] + tot); } } } } ans = ans * 2 + n; printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MAXN = 3005; struct Node { int to, id; Node() = default; Node(int a, int b) : to(a), id(b) {} }; vector<Node> v[MAXN]; int vis[MAXN], st[MAXN], tt, flag; int siz[MAXN], dep[MAXN], fa[MAXN]; int top[MAXN], son[MAXN], col[MAXN]; inline int read() { int x = 0; char ch = getchar(); while (!isdigit(ch)) ch = getchar(); while (isdigit(ch)) { x = x * 10 + ch - '0'; ch = getchar(); } return x; } void dfs_cir(int x, int fa) { vis[x] = 1; for (auto y : v[x]) { if (y.id == fa) continue; if (vis[y.to]) { flag = y.to; st[++tt] = x; return; } dfs_cir(y.to, y.id); if (flag == -1) { vis[x] = 0; return; } if (flag) { st[++tt] = x; flag == x && (flag = -1); return; } } } void dfs_son(int x, int fath) { siz[x] = 1; fa[x] = fath; col[x] = col[fath]; dep[x] = dep[fath] + 1; for (auto y : v[x]) { if (vis[y.to]) continue; if (y.to == fath) continue; dfs_son(y.to, x), siz[x] += siz[y.to]; if (siz[y.to] > siz[son[x]]) son[x] = y.to; } } void dfs_chain(int x, int tp) { top[x] = tp; if (son[x]) dfs_chain(son[x], tp); for (auto y : v[x]) { if (vis[y.to]) continue; if (y.to == fa[x] || y.to == son[x]) continue; dfs_chain(y.to, y.to); } } inline int query_lca(int x, int y) { while (top[x] != top[y]) { if (dep[top[x]] < dep[top[y]]) swap(x, y); x = fa[top[x]]; } return dep[x] < dep[y] ? x : y; } inline int query_dis(int x, int y) { int lca = query_lca(x, y); return dep[x] + dep[y] - dep[lca] * 2 + 1; } int main() { int n = read(); for (int i = 1; i <= n; i++) { int x = read() + 1, y = read() + 1; v[x].push_back(Node(y, i)); v[y].push_back(Node(x, i)); } dfs_cir(1, 0); for (int i = 1; i <= tt; i++) col[0] = i, dfs_son(st[i], 0), dfs_chain(st[i], st[i]); double ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) { if (col[i] == col[j]) ans += 1.0 / query_dis(i, j); else { int x = dep[i] + dep[j], y = abs(col[i] - col[j]) - 1, z = tt - y - 2; ans += 1.0 / (x + y) + 1.0 / (x + z) - 1.0 / (x + y + z); } } printf("%.15lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; vector<int> depc[3300]; vector<int> adj[3300]; int dep[3300], pos[3300], fa[3300], subsz[3300]; vector<int> st, cycle; double comprob(int cycleA, int cycleB, int tree1, int tree2) { return 2.0 / (cycleA + tree1 + tree2 + 1) + 2.0 / (cycleB + tree1 + tree2 + 1) - 2.0 / (cycleA + cycleB + tree1 + tree2); } double simprob(int dist) { return 2.0 / (dist + 1); } bool findcycle(int x, int d) { assert(d == st.size()); if (dep[x] >= 0) { if (dep[x] == d - 2) return 0; for (int i = dep[x]; i < d; i++) cycle.push_back(st[i]); return 1; } dep[x] = d; st.push_back(x); for (int i = 0; i < adj[x].size(); i++) if (findcycle(adj[x][i], d + 1)) return 1; st.pop_back(); dep[x] = -2; return 0; } void buildtree(int x) { subsz[x] = 1; for (int i = 0; i < adj[x].size(); i++) if (adj[x][i] != fa[x] && pos[adj[x][i]] < 0) { fa[adj[x][i]] = x; buildtree(adj[x][i]); subsz[x] += subsz[adj[x][i]]; } } double answertree(int x) { double res = 0; int maxdep = 0; for (int i = 0; i < adj[x].size(); i++) { if (adj[x][i] != fa[x] && pos[adj[x][i]] < 0) { res += answertree(adj[x][i]); maxdep = max(maxdep, (int)depc[adj[x][i]].size()); } } depc[x].resize(maxdep + 1); depc[x][0]++; for (int i = 0; i < adj[x].size(); i++) if (adj[x][i] != fa[x] && pos[adj[x][i]] < 0) { for (int oldd = 1; oldd <= depc[adj[x][i]].size(); oldd++) for (int newd = 0; newd <= maxdep; newd++) res += simprob(oldd + newd) * depc[x][newd] * depc[adj[x][i]][oldd - 1]; for (int oldd = 1; oldd <= depc[adj[x][i]].size(); oldd++) depc[x][oldd] += depc[adj[x][i]][oldd - 1]; depc[adj[x][i]].clear(); } return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 0; i < n; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } memset(dep, -1, sizeof(dep)); memset(pos, -1, sizeof(pos)); memset(fa, -1, sizeof(fa)); findcycle(0, 0); for (int i = 0; i < cycle.size(); i++) pos[cycle[i]] = i; for (int i = 0; i < cycle.size(); i++) buildtree(cycle[i]); double res = n; for (int i = 0; i < cycle.size(); i++) res += answertree(cycle[i]); for (int i = 0; i < cycle.size(); i++) for (int j = i + 1; j < cycle.size(); j++) { for (int di = 0; di < depc[cycle[i]].size(); di++) for (int dj = 0; dj < depc[cycle[j]].size(); dj++) res += comprob(j - i, cycle.size() - j + i, di, dj) * depc[cycle[i]][di] * depc[cycle[j]][dj]; } printf("%.8lf\n", res); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int MXN = 100005; int N, loid[MXN], islolo[MXN]; int bln[MXN], dep[MXN]; vector<int> E[MXN]; vector<int> lolo; int ins[MXN]; vector<int> stk; long double ans; bool DFS1(int u, int f) { ins[u] = 1; stk.push_back(u); for (auto v : E[u]) { if (v == f) continue; if (ins[v]) { while (stk.back() != v) { lolo.push_back(stk.back()); stk.pop_back(); } lolo.push_back(v); return 1; } if (DFS1(v, u)) return 1; } ins[u] = 0; stk.pop_back(); return 0; } void DFS(int u, int f, int d, int bid) { dep[u] = d; bln[u] = bid; for (auto v : E[u]) { if (v == f) continue; if (islolo[v]) continue; DFS(v, u, d + 1, bid); } } void calc(int u, int f, int d) { ans += 1.0 / d; for (auto v : E[u]) { if (v == f) continue; if (islolo[v] and bln[u] != v) continue; calc(v, u, d + 1); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); ; cin >> N; for (int i = 0; i < (N); i++) { int u, v; cin >> u >> v; E[u].push_back(v); E[v].push_back(u); } DFS1(0, 0); for (int i = 0; i < (((int)((lolo).size()))); i++) { int v = lolo[i]; loid[v] = i; islolo[v] = 1; } for (auto v : lolo) DFS(v, v, 1, v); ans = 0; for (int i = 0; i < (N); i++) calc(i, i, 1); for (int i = 0; i < (N); i++) for (int j = 0; j < (N); j++) { if (i == j) continue; if (bln[i] == bln[j]) continue; int d1 = abs(loid[bln[i]] - loid[bln[j]]); int d2 = ((int)((lolo).size())) - d1; d1--; d2--; ans += 1.0 / (dep[i] + dep[j] + d1); ans += 1.0 / (dep[i] + dep[j] + d2); ans -= 1.0 / (dep[i] + dep[j] + d1 + d2); } cout << fixed << setprecision(10) << ans << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; struct node { int t, n; } e[11000]; int fi[11000], di[11000], q[11000]; bool used[11000], in[11000]; int n, tot, len; double ans; inline void insert(const int& x, const int& y) { e[++tot] = (node){y, fi[x]}, fi[x] = tot; } void dfs(int x, int l1, int l2) { used[x] = true; if (l2 <= 1) ans += 1.0 / l1; else ans += 1.0 / l1 + 1.0 / (l1 - l2 + len - l2 + 2) - 1.0 / (l1 - l2 + len); for (int i = fi[x]; i != -1; i = e[i].n) if (!used[e[i].t]) dfs(e[i].t, l1 + 1, l2 + in[e[i].t]); } int main(void) { scanf("%d", &n), fill(fi, fi + n + 1, -1), tot = 1; for (int i = 1; i <= n; i++) { int x, y; scanf("%d%d", &x, &y), x++, y++; insert(x, y), insert(y, x), di[x]++, di[y]++; } int h = 1, t = 0; for (int i = 1; i <= n; i++) if (di[i] == 1) q[++t] = i; while (h <= t) { for (int i = fi[q[h]]; i != -1; i = e[i].n) if ((--di[e[i].t]) == 1) q[++t] = e[i].t; h++; } len = n - t; for (int i = 1; i <= n; i++) if (di[i] > 1) in[i] = true; for (int i = 1; i <= n; i++) fill(used, used + n + 1, false), dfs(i, 1, in[i]); printf("%.8lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #pragma GCC target( \ "sse,sse2,sse3,ssse3,sse4.1,sse4.2,avx,avx2,popcnt,tune=native") using namespace std; namespace _c { const double pi = acos(-1.0); namespace min { const int i8 = -128; const int i16 = -32768; const int i = -2147483647 - 1; const long long l = -9223372036854775807LL - 1; } // namespace min namespace max { const int i8 = 127; const int i16 = 32767; const int i = 2147483647; const long long l = 9223372036854775807LL; } // namespace max } // namespace _c namespace _f { template <typename T> inline const T gcd(T m, T n) { while (n != 0) { T t = m % n; m = n; n = t; } return m; } template <typename T> inline const T max(const T &a, const T &b) { return a > b ? a : b; } template <typename T> inline const T min(const T &a, const T &b) { return a < b ? a : b; } template <typename T> inline const T abs(const T &a) { return a > 0 ? a : -a; } template <typename T> inline T pow(T a, T b) { T res = 1; while (b > 0) { if (b & 1) { res = res * a; } a = a * a; b >>= 1; } return res; } template <typename T> inline T pow(T a, T b, const T &mod) { a %= mod; T res = 1; while (b > 0) { if (b & 1) { res = res * a % mod; } a = a * a % mod; b >>= 1; } return res % mod; } } // namespace _f namespace io { template <typename T> inline void read(T &t) { register T res = 0, neg = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) { if (c == '-') { neg = -1; } } for (; isdigit(c); c = getchar()) { res = res * 10 + c - '0'; } t = res * neg; } inline int in() { register int T; read(T); return T; } inline long long in_ll() { register long long T; read(T); return T; } } // namespace io int i, j, k, n, m, t, r, flag, chang, num, x, y; int a[6010], nxt[6010], head[6010], F[6010], f[6010], g[6010]; double an; inline void add(int x, int y) { a[++t] = y, nxt[t] = head[x], head[x] = t; a[++t] = x, nxt[t] = head[y], head[y] = t; } void dfs(int x, int y) { int v; if (flag) { return; } f[x] = 1; g[++r] = x; for (v = head[x]; v; v = nxt[v]) { int A = a[v]; if (A == y) { continue; } if (flag) { return; } if (f[A]) { for (; g[r] != A; r--) { F[g[r]] = 1, chang++; } F[A] = 1; chang++; flag = 1; return; } dfs(A, x); } r--; } inline void get(double y, double z) { if (z <= 1) { an += 1 / y; } else { double x = y - z + chang; an -= 1 / x; if (z >= 2) { an += 1 / (x - (z - 2)); } if (z <= chang) { an += 1 / (x - (chang - z)); } } } void Dfs(int x, int y, int z) { int v; f[x] = num; get(y, z); for (v = head[x]; v; v = nxt[v]) { if (f[a[v]] != num) { Dfs(a[v], y + 1, z + F[a[v]]); } } } int main() { scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d%d", &x, &y), add(x + 1, y + 1); } dfs(1, 0); num = 1; for (i = 1; i <= n; i++) { num++; Dfs(i, 1, F[i]); } printf("%.12lf\n", an); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; vector<int> v[3005]; bool vis[3005], cir[3005]; int q, s, n; int Find_Cir(int x, int y) { vis[x] = 1; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) { int t = Find_Cir(v[x][i], x); if (t) { if (t > 0) { cir[x] = 1; s++; } return t == x ? -1 : t; } } else if (v[x][i] != y) { cir[x] = s = 1; return v[x][i]; } } double ans; void Dfs(int x) { vis[x] = 1; q += cir[x]; n++; if (q > 1) { int c = n - q + s, a = q - 2, b = s - q; ans += (double)a / c / (c - a) + (double)b / c / (c - b) + 1.0 / c; } else ans += 1.0 / n; for (int i = 0; i < v[x].size(); i++) if (!vis[v[x][i]]) Dfs(v[x][i]); n--; q -= cir[x]; } int main() { int n; scanf("%d", &n); for (int i = 1, x, y; i <= n; i++) scanf("%d%d", &x, &y), v[x + 1].push_back(y + 1), v[y + 1].push_back(x + 1); Find_Cir(1, 0); for (int i = 1; i <= n; i++) { memset(vis, 0, sizeof(vis)); Dfs(i); } printf("%.20lf\n", ans); }
10
CPP
#include <bits/stdc++.h> using std::cerr; using std::endl; const int N = 3005; int n, dep[N], stk[N], top, on[N]; int circle_size; double ans; std::vector<int> G[N]; bool find_circle(int x, int fa) { dep[x] = dep[fa] + 1; stk[++top] = x; for (int y : G[x]) { if (y == fa) continue; if (!dep[y]) { if (find_circle(y, x)) return 1; } else { circle_size = dep[x] - dep[y] + 1; for (int z = 0; y != z; --top) { z = stk[top]; on[z] = 1; } return 1; } } return 0; } int vis[N], st; void dfs(int x, int a, int b) { vis[x] = 1; if (x != st) { double tmp = 0; if (b == 0) { tmp = 1.0 / (a + 1); } else { int na = a + 2, nb = b - 1, nc = circle_size - 2 - nb; tmp = 1.0 / (na + nb) + 1.0 / (na + nc) - 1.0 / (na + nb + nc); } ans += tmp; } for (int y : G[x]) { if (vis[y]) continue; int na = a, nb = b; if (on[x] && on[y]) ++nb; else ++na; dfs(y, na, nb); } } int main() { std::cin >> n; for (int i = 1; i <= n; ++i) { int x, y; std::cin >> x >> y; ++x, ++y; G[x].push_back(y); G[y].push_back(x); } find_circle(1, 0); for (int i = 1; i <= n; ++i) { memset(vis, 0, sizeof(vis)); st = i; dfs(i, 0, 0); } ans += n; printf("%.12lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int Maxn = 3010; struct Edge { int to, nxt; } edge[Maxn << 1]; int anc[12][Maxn]; int fa[Maxn]; int first[Maxn]; int ring[Maxn]; int dep[Maxn]; int tree[Maxn]; int te = 1, n, tp; int ringlen, ban1, ban2; int ringst; void adde(int x, int y) { edge[++te] = Edge{y, first[x]}; first[x] = te; } int getfa(int x) { return fa[x] == x ? x : fa[x] = getfa(fa[x]); } void getring(int x, int pre) { ring[++tp] = x; for (int i = first[x]; i && !ringlen; i = edge[i].nxt) { if (i == (pre ^ 1)) continue; int to = edge[i].to; if (to == ringst) { ringlen = tp; return; } getring(to, i); } --tp; } void dfs_tree(int x, int id) { tree[x] = id; dep[x] = dep[anc[0][x]] + 1; for (int i = first[x]; i; i = edge[i].nxt) { int to = edge[i].to; if (to == anc[0][x] || to == ban1 || to == ban2) continue; anc[0][to] = x; dfs_tree(to, id); } } int getlca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); for (int k = 11; k >= 0; k--) if (dep[anc[k][x]] >= dep[y]) x = anc[k][x]; if (x == y) return x; for (int k = 11; k >= 0; k--) if (anc[k][x] != anc[k][y]) x = anc[k][x], y = anc[k][y]; return anc[0][x]; } int main() { ios::sync_with_stdio(false); cin >> n; for (int i = 1; i <= n; i++) fa[i] = i; for (int x, y, i = 1; i <= n; ++i) { cin >> x >> y; x++; y++; adde(x, y); adde(y, x); int pa = getfa(x), pb = getfa(y); if (pa == pb) ringst = x; fa[pa] = pb; } getring(ringst, 0); ring[0] = ring[ringlen]; ring[ringlen + 1] = ring[1]; for (int i = 1; i <= ringlen; ++i) { int x = ring[i]; ban1 = ring[i - 1], ban2 = ring[i + 1]; dfs_tree(x, i); } for (int k = 1; k <= 11; k++) for (int i = 1; i <= n; i++) anc[k][i] = anc[k - 1][anc[k - 1][i]]; double ans = 0; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (i != j) { if (tree[i] == tree[j]) { int lca = getlca(i, j); int len = dep[i] + dep[j] - (dep[lca] << 1); ans += 1.0 / (len + 1); } else { int len = dep[i] + dep[j]; int nd1 = tree[i], nd2 = tree[j]; int lenx = nd1 - nd2 + ringlen > ringlen ? nd1 - nd2 : nd1 - nd2 + ringlen; int leny = nd2 - nd1 + ringlen > ringlen ? nd2 - nd1 : nd2 - nd1 + ringlen; ans += 1.0 / (len + lenx - 1) + 1.0 / (len + leny - 1) - 1.0 / (len + lenx - 1 + leny - 1); } } cout << fixed << setprecision(10) << ans + n << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; const int inf = ~0U >> 1; const long long INF = ~0LLU >> 1; int rd() { return RAND_MAX == 32767 ? ((rand() << 15) ^ rand()) : rand(); } template <class T> void Read_T(T &x) { char ch; while ((ch = getchar()) && (ch < '0' || ch > '9')) ; x = ch - '0'; while ((ch = getchar()) && ch >= '0' && ch <= '9') x = x * 10 + ch - '0'; } template <class T> void Read_S(T &x) { char opt, ch = 1; while ((opt = ch) && (ch = getchar()) && (ch < '0' || ch > '9')) ; x = ch - '0'; while ((ch = getchar()) && ch >= '0' && ch <= '9') x = x * 10 + ch - '0'; if (opt == '-') x = -x; } const int maxn = 3010; int n, m, cnt, pos, tal; int p[maxn], col[maxn], cir[maxn], ins[maxn]; double res; vector<int> G[maxn]; void Dfs(int t, int fa) { p[t] = fa; ins[t] = 1; for (__typeof(G[t].begin()) e = G[t].begin(); e != G[t].end(); e++) if (*e == fa) continue; else if (!ins[*e]) Dfs(*e, t); else if (pos == -1) { pos = t; tal = *e; } } void Color(int t, int p, int c) { col[t] = c; for (__typeof(G[t].begin()) e = G[t].begin(); e != G[t].end(); e++) if (*e != p && ins[*e] == -1) Color(*e, t, c); } void Search(int t, int p, int dep) { if (col[t] == col[cnt]) res += 1.0 / dep; else { int ret0 = abs(ins[col[t]] - ins[col[cnt]]) - 1; int ret1 = m - 2 - ret0; int d = dep - ret0; res += 1.0 / (d + ret0) + 1.0 / (d + ret1) - 1.0 / (d + ret0 + ret1); } for (__typeof(G[t].begin()) e = G[t].begin(); e != G[t].end(); e++) if (*e != p) Search(*e, t, dep + 1); } int main() { cin >> n; for (int i = 0; i < n; i++) { int u, v; cin >> u >> v; G[u].push_back(v); G[v].push_back(u); } memset(ins, 0, sizeof(ins)); pos = -1; Dfs(0, -1); m = 0; memset(ins, -1, sizeof(ins)); for (int i = pos; i != tal; i = p[i]) { cir[m] = i; ins[i] = m++; } cir[m] = tal; ins[tal] = m++; for (int i = 0; i < m; i++) Color(cir[i], -1, cir[i]); for (__typeof(G[cir[0]].begin()) e = G[cir[0]].begin(); e != G[cir[0]].end(); e++) if (*e == cir[m - 1]) { G[cir[0]].erase(e); break; } for (__typeof(G[cir[m - 1]].begin()) e = G[cir[m - 1]].begin(); e != G[cir[m - 1]].end(); e++) if (*e == cir[0]) { G[cir[m - 1]].erase(e); break; } res = 0; for (cnt = 0; cnt < n; cnt++) Search(cnt, -1, 1); cout << fixed << setprecision(9) << res << endl; return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; int cnt = 0, st[3010] = {0}; struct line { int to, next; } a[6010]; inline void add(int &x, int &y) { a[++cnt].to = y; a[cnt].next = st[x]; st[x] = cnt; } int vis[3010], check = 0, st_p, cir_size; stack<int> ge; void dfs(int x, int fa) { ge.push(x); vis[x] = 1; for (int i = st[x]; i; i = a[i].next) { if (vis[a[i].to] && a[i].to != fa) { st_p = a[i].to; check = 1; return; } else if (!vis[a[i].to]) { dfs(a[i].to, x); } if (check) return; } ge.pop(); } int in_cir[3010], pl[3010]; int depth, dep[3010], anc[3010][20], root[3001]; void dfs2(int &rt, int x) { root[x] = rt; for (int i = st[x]; i; i = a[i].next) { if (!in_cir[a[i].to] && a[i].to ^ anc[x][0]) { anc[a[i].to][0] = x; dep[a[i].to] = dep[x] + 1; dfs2(rt, a[i].to); } } } inline void get_anc() { for (int i = 1; i <= depth; i++) { for (int j = 1; j <= n; j++) { anc[j][i] = anc[anc[j][i - 1]][i - 1]; } } } inline int get_lca(int x, int y) { if (dep[x] < dep[y]) swap(x, y); int tmp1 = dep[x] - dep[y], tmp2 = 0, ret = 0; ret += tmp1; while (tmp1) { if (tmp1 & 1) x = anc[x][tmp2]; tmp1 >>= 1; tmp2++; } if (x == y) return ret + 1; ret += 2; for (int i = depth; i >= 0; i--) { if (anc[x][i] ^ anc[y][i]) { ret += 2 * pow(2, i); x = anc[x][i]; y = anc[y][i]; } } return ret + 1; } int roun[3001]; double ans = 0.0; int main() { ios::sync_with_stdio(0); cin >> n; depth = log2(n) + 1; n++; for (int i = 1; i ^ n; i++) { int x, y; cin >> x >> y; x++, y++; add(x, y); add(y, x); } dfs(1, 0); while (true) { in_cir[ge.top()] = 1; cir_size++; pl[ge.top()] = cir_size; roun[cir_size] = ge.top(); if (ge.top() == st_p) break; ge.pop(); } for (int i = 1; i <= cir_size; i++) { dep[roun[i]] = 0; dfs2(roun[i], roun[i]); } get_anc(); for (int i = 1; i ^ n; i++) { for (int j = 1; j ^ n; j++) { if (root[i] == root[j]) { ans += 1.0 / get_lca(i, j); } else { int x = max(pl[root[i]], pl[root[j]]), y = min(pl[root[i]], pl[root[j]]); int x2 = dep[i] + 1, y2 = dep[j] + 1; ans += 1.0 / (x2 + y2 + x - y - 1) + 1.0 / (x2 + y2 + cir_size - x + y - 1) - 1.0 / (x2 + y2 + cir_size - 2); } } } printf("%.10lf", ans); }
10
CPP
#include <bits/stdc++.h> using namespace std; void Get_Val(int &Ret) { Ret = 0; char ch; while (ch = getchar(), ch > '9' || ch < '0') ; do { (Ret *= 10) += ch - '0'; } while (ch = getchar(), ch >= '0' && ch <= '9'); } const int Max_N(3050); namespace UFS { int Father[Max_N]; int Get_Father(const int &x) { return Father[x] == x ? x : Father[x] = Get_Father(Father[x]); } } // namespace UFS int N, Head[Max_N], Total, To[Max_N << 1], Next[Max_N << 1], Deep[Max_N]; int Tot, circle[Max_N], root[Max_N]; inline void Add_Edge(const int &s, const int &t) { ++Total, To[Total] = t, Next[Total] = Head[s], Head[s] = Total; } void init() { Get_Val(N); for (int i = 1; i <= N; ++i) UFS::Father[i] = i; for (int i = 1, a, b; i <= N; ++i) { Get_Val(a), Get_Val(b), ++a, ++b; if (UFS::Get_Father(a) != UFS::Get_Father(b)) { Add_Edge(a, b), Add_Edge(b, a); UFS::Father[UFS::Get_Father(a)] = UFS::Get_Father(b); } else circle[0] = a, circle[N + 1] = b; } } void dfs(const int &u) { for (int i = Head[u], v; i; i = Next[i]) if (!root[v = To[i]]) root[v] = root[u], Deep[v] = Deep[u] + 1, dfs(v); } int Pre[Max_N]; void prepare() { queue<int> Q; Q.push(circle[0]), Pre[circle[0]] = -1; int u, v; while (Q.size()) { u = Q.front(), Q.pop(); for (int i = Head[u], v; i; i = Next[i]) if (!Pre[v = To[i]]) Pre[v] = u, Q.push(v); } u = circle[N + 1]; while (u != -1) circle[root[u] = ++Tot] = u, u = Pre[u]; for (int i = 1; i <= Tot; ++i) Deep[u = circle[i]] = 1, dfs(u); } double Ans; void dfs(const int &u, const int &dis) { Pre[u] = 1; Ans += 1.0 / (dis * 1.0); for (int i = Head[u], v; i; i = Next[i]) if (!Pre[v = To[i]] && root[u] == root[v]) dfs(v, dis + 1); } inline int Abs(const int &x) { return x >= 0 ? x : -x; } void work() { for (int u = 1; u <= N; ++u) { memset(Pre, 0, sizeof(Pre)), dfs(u, 1); for (int v = 1, a, b; v <= N; ++v) if (root[u] != root[v]) { a = Abs(root[u] - root[v]), b = Tot - Abs(root[u] - root[v]); Ans += 1.0 / (Deep[u] + Deep[v] + a - 1); Ans += 1.0 / (Deep[u] + Deep[v] + b - 1); Ans -= 1.0 / (Deep[u] + Deep[v] + Tot - 2); } } printf("%.10lf", Ans); } int main() { init(); prepare(); work(); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, x, y, pa[3333], rt[3333], dep[3333], dist[3333], len, pos[3333]; vector<int> g[3333], cycle; bool used[3333], f, in_cycle[3333]; double ans, a, b, c, d; void dfs(int i, int fa) { used[i] = 1; pa[i] = fa; for (int j = 0; j < g[i].size(); j++) { int to = g[i][j]; if (to == fa) continue; if (used[to]) { if (f) continue; f = 1; int cur = i; while (cur != to) { cycle.push_back(cur); cur = pa[cur]; } cycle.push_back(cur); continue; } dfs(to, i); } } void precalc(int i, int fa, int root, int depth) { rt[i] = root; dep[i] = depth; for (int j = 0; j < g[i].size(); j++) { int to = g[i][j]; if (to == fa || in_cycle[to]) continue; precalc(to, i, root, depth + 1); } } void proc(int i, int fa, int depth, int pt) { dist[i] = depth; for (int j = 0; j < g[i].size(); j++) { int to = g[i][j]; if (to == fa || (in_cycle[to] && to != pt)) continue; proc(to, i, depth + 1, pt); } } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d%d", &x, &y); x++; y++; g[x].push_back(y); g[y].push_back(x); } dfs(1, 0); for (int i = 0; i < cycle.size(); i++) in_cycle[cycle[i]] = 1; for (int i = 0; i < cycle.size(); i++) { pos[cycle[i]] = i; } for (int i = 0; i < cycle.size(); i++) { precalc(cycle[i], 0, cycle[i], 0); } len = cycle.size(); for (int i = 1; i <= n; i++) { memset(dist, 0, sizeof(dist)); proc(i, 0, 0, rt[i]); for (int j = 1; j <= n; j++) { if (rt[i] == rt[j]) { ans += 1.00 / (double)(dist[j] + 1); } else { c = (double)dep[i]; d = (double)dep[j]; a = (double)abs(pos[rt[i]] - pos[rt[j]]); b = (double)(len - (int)a); ans += (1.00 / (a + c + d + 1.00) + 1.00 / (b + c + d + 1.00) - 1.00 / (a + b + c + d)); } } } printf("%.9lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n, rt, bel[3100], dis[3100]; int cnt, q[3100], num[3100], fa[3100]; bool flag, vis[3100]; int edgenum, vet[6100], Next[6100], Head[3100]; double ans; void addedge(int u, int v) { vet[++edgenum] = v; Next[edgenum] = Head[u]; Head[u] = edgenum; } void getcycle(int u) { vis[u] = true; for (int e = Head[u]; e; e = Next[e]) { int v = vet[e]; if (v == fa[u]) continue; if (vis[v]) { if (!flag) { flag = true; int t = u; while (t != v) { q[++cnt] = t; num[t] = cnt; t = fa[t]; } q[++cnt] = v; num[v] = cnt; } } else fa[v] = u, getcycle(v); } } void dfs(int u) { bel[u] = rt; vis[u] = true; for (int e = Head[u]; e; e = Next[e]) if (!vis[vet[e]]) { dis[vet[e]] = dis[u] + 1; dfs(vet[e]); } } void solve(int u, int dep) { vis[u] = true; if (u != rt) { if (bel[u] == bel[rt]) ans += 1.0 / dep; else { int a = dis[rt] + dis[u], b = abs(num[bel[u]] - num[bel[rt]]) - 1, c = cnt - 2 - b; ans += 1.0 / (a + b) + 1.0 / (a + c) - 1.0 / (a + b + c); } } for (int e = Head[u]; e; e = Next[e]) if (!vis[vet[e]]) solve(vet[e], dep + 1); } int main() { scanf("%d", &n); int u, v; for (int i = 1; i <= n; i++) { scanf("%d%d", &u, &v); u++; v++; addedge(u, v); addedge(v, u); } getcycle(1); for (int i = 1; i <= cnt; i++) { for (int j = 1; j <= n; j++) vis[j] = (num[j] != 0); rt = q[i]; dis[q[i]] = 1; dfs(q[i]); } for (int i = 1; i <= n; i++) { memset(vis, false, sizeof(vis)); rt = i; solve(i, 1); } ans += n; printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int n; double p[3010][3010]; vector<int> v[3010], cycle; bool vis[3010], oncycle[3010]; int stk[3010], top = 0, dep[3010]; void dfs1(int np, int fath) { if (!cycle.empty()) return; vis[np] = 1; stk[++top] = np; for (int &x : v[np]) { if (x == fath) continue; if (vis[x] && !cycle.size()) { int p = top; while (stk[p] != x) { cycle.push_back(stk[p]); p--; } cycle.push_back(x); } else dfs1(x, np); } top--; } void dfs2(int np, int fath, int st, int dis) { p[st][np] = 1.0 / dis; for (int &x : v[np]) { if (x == fath) continue; if (oncycle[np] && oncycle[x]) continue; dfs2(x, np, st, dis + 1); } } vector<int> subt[3010]; void dfs3(int np, int fath, int st) { dep[np] = dep[fath] + 1; subt[st].push_back(np); for (int &x : v[np]) { if (x == fath) continue; if (oncycle[np] && oncycle[x]) continue; dfs3(x, np, st); } } int main() { scanf("%d", &n); for (int i = 1, ti, tj; i <= n; i++) { scanf("%d%d", &ti, &tj); ti++; tj++; v[ti].push_back(tj); v[tj].push_back(ti); } dfs1(1, 0); for (auto &x : cycle) oncycle[x] = 1; for (int i = 1; i <= n; i++) dfs2(i, 0, i, 1); for (auto &x : cycle) dfs3(x, 0, x); int ps = cycle.size(); for (int i = 0; i < ps; i++) { for (int j = 0; j < ps; j++) { if (i != j) { int l1 = (i > j) ? (i - j - 1) : (j - i - 1); int l2 = ps - 2 - l1; for (int &x : subt[cycle[i]]) { for (int &y : subt[cycle[j]]) { int l3 = dep[x] + dep[y]; p[x][y] = 1.0 / (l1 + l3) + 1.0 / (l2 + l3) - 1.0 / (l1 + l2 + l3); } } } } } double ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) ans += p[i][j]; printf("%.10lf\n", ans); return 0; }
10
CPP
#include <bits/stdc++.h> using namespace std; int entry[3005], low[3005], n, tme = 1, scc[3005], sp[3005], sp2[3005], cycle, cnt, cc; vector<int> myvec[3005], ans; bool bridges[3005][3005]; double prob, ret; queue<int> q; int dfs(int x, int p) { int i, j, k; low[x] = entry[x] = tme++; for (i = 0; i < myvec[x].size(); i++) { j = myvec[x][i]; if (j == p) continue; if (entry[j] == 0) { k = dfs(j, x); if (k > entry[x]) { bridges[min(j, x)][max(j, x)] = 1; } low[x] = min(low[x], k); } else low[x] = min(low[x], entry[j]); } return low[x]; } void make_scc(int x, int c) { scc[x] = c; cnt++; int i, j, k; for (i = 0; i < myvec[x].size(); i++) { j = myvec[x][i]; if (scc[j] != -1) continue; if (bridges[min(j, x)][max(j, x)]) continue; make_scc(j, c); } } int main() { int i, j, k, p; scanf("%d", &n); for (i = 0; i < n; i++) { scc[i] = -1; scanf("%d %d", &j, &k); myvec[j].push_back(k); myvec[k].push_back(j); } dfs(0, -1); for (i = 0; i < n; i++) { if (scc[i] != -1) continue; cnt = 0; make_scc(i, i); if (cnt > 1) { cc = i; cycle = cnt; } } for (ret = 0, i = 0; i < n; i++) { for (j = 0; j < n; j++) sp[j] = -1; q.push(i); sp[i] = sp2[i] = 0; while (!q.empty()) { k = q.front(); q.pop(); for (j = 0; j < myvec[k].size(); j++) { p = myvec[k][j]; if (sp[p] != -1) continue; sp[p] = sp[k] + (bridges[min(k, p)][max(k, p)]); sp2[p] = sp2[k] + (!bridges[min(k, p)][max(k, p)]); q.push(p); } } for (j = 0; j < n; j++) { if (sp2[j] == 0) { ret += (1 / (double)(sp[j] + 1)); } else if (sp[j] == 0) { double d = sp2[j] + 1.0; double d2 = cycle - d + 2; ret += (1 / d) + (1 / d2) - (1 / (d + d2 - 2)); } else { double d = sp[j] + 2.0; double d2 = sp2[j] - 1.0; double d3 = cycle - d2 - 2; ret += (1 / (d + d2)) + (1 / (d + d3)) - (1 / (d + d2 + d3)); } } } printf("%.8lf\n", ret); return 0; }
10
CPP