Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 74, 40, 26, 70 ]
10
[ "74-40=34", "70-26=44", "44-34=10" ]
Current State: 10:[74, 40, 26, 70], Operations: [] Exploring Operation: 74-40=34, Resulting Numbers: [26, 70, 34] Generated Node #2: [26, 70, 34] from Operation: 74-40=34 Current State: 10:[26, 70, 34], Operations: ['74-40=34'] Exploring Operation: 70-26=44, Resulting Numbers: [34, 44] Generated Node #3: [34, 44] from Operation: 70-26=44 Current State: 10:[34, 44], Operations: ['74-40=34', '70-26=44'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 26, 74, 9, 17 ]
92
[ "26+74=100", "17-9=8", "100-8=92" ]
Current State: 92:[26, 74, 9, 17], Operations: [] Exploring Operation: 26+74=100, Resulting Numbers: [9, 17, 100] Generated Node #2: [9, 17, 100] from Operation: 26+74=100 Current State: 92:[9, 17, 100], Operations: ['26+74=100'] Exploring Operation: 17-9=8, Resulting Numbers: [100, 8] Generated Node #3: [100, 8] from Operation: 17-9=8 Current State: 92:[100, 8], Operations: ['26+74=100', '17-9=8'] Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 26, 21, 57 ]
47
[ "21+57=78", "78/26=3", "44+3=47" ]
Current State: 47:[44, 26, 21, 57], Operations: [] Exploring Operation: 21+57=78, Resulting Numbers: [44, 26, 78] Generated Node #2: [44, 26, 78] from Operation: 21+57=78 Current State: 47:[44, 26, 78], Operations: ['21+57=78'] Exploring Operation: 78/26=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 78/26=3 Current State: 47:[44, 3], Operations: ['21+57=78', '78/26=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 80, 98, 73 ]
82
[ "98-80=18", "18/2=9", "73+9=82" ]
Current State: 82:[2, 80, 98, 73], Operations: [] Exploring Operation: 98-80=18, Resulting Numbers: [2, 73, 18] Generated Node #2: [2, 73, 18] from Operation: 98-80=18 Current State: 82:[2, 73, 18], Operations: ['98-80=18'] Exploring Operation: 18/2=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 18/2=9 Current State: 82:[73, 9], Operations: ['98-80=18', '18/2=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 54, 84, 6, 89 ]
94
[ "84-54=30", "30/6=5", "89+5=94" ]
Current State: 94:[54, 84, 6, 89], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [6, 89, 30] Generated Node #2: [6, 89, 30] from Operation: 84-54=30 Current State: 94:[6, 89, 30], Operations: ['84-54=30'] Exploring Operation: 30/6=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 30/6=5 Current State: 94:[89, 5], Operations: ['84-54=30', '30/6=5'] Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 33, 79, 80, 63 ]
97
[ "79-33=46", "80+63=143", "143-46=97" ]
Current State: 97:[33, 79, 80, 63], Operations: [] Exploring Operation: 79-33=46, Resulting Numbers: [80, 63, 46] Generated Node #2: [80, 63, 46] from Operation: 79-33=46 Current State: 97:[80, 63, 46], Operations: ['79-33=46'] Exploring Operation: 80+63=143, Resulting Numbers: [46, 143] Generated Node #3: [46, 143] from Operation: 80+63=143 Current State: 97:[46, 143], Operations: ['79-33=46', '80+63=143'] Exploring Operation: 143-46=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 3, 28, 29 ]
53
[ "49+3=52", "29-28=1", "52+1=53" ]
Current State: 53:[49, 3, 28, 29], Operations: [] Exploring Operation: 49+3=52, Resulting Numbers: [28, 29, 52] Generated Node #2: [28, 29, 52] from Operation: 49+3=52 Current State: 53:[28, 29, 52], Operations: ['49+3=52'] Exploring Operation: 29-28=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 29-28=1 Current State: 53:[52, 1], Operations: ['49+3=52', '29-28=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 70, 36, 10, 88 ]
20
[ "88-70=18", "36*10=360", "360/18=20" ]
Current State: 20:[70, 36, 10, 88], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [36, 10, 18] Generated Node #2: [36, 10, 18] from Operation: 88-70=18 Current State: 20:[36, 10, 18], Operations: ['88-70=18'] Exploring Operation: 36*10=360, Resulting Numbers: [18, 360] Generated Node #3: [18, 360] from Operation: 36*10=360 Current State: 20:[18, 360], Operations: ['88-70=18', '36*10=360'] Exploring Operation: 360/18=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 19, 68, 4 ]
52
[ "54-19=35", "68/4=17", "35+17=52" ]
Current State: 52:[54, 19, 68, 4], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [68, 4, 35] Generated Node #2: [68, 4, 35] from Operation: 54-19=35 Current State: 52:[68, 4, 35], Operations: ['54-19=35'] Exploring Operation: 68/4=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 68/4=17 Current State: 52:[35, 17], Operations: ['54-19=35', '68/4=17'] Exploring Operation: 35+17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 85, 3, 54, 82 ]
45
[ "85-82=3", "3*3=9", "54-9=45" ]
Current State: 45:[85, 3, 54, 82], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [3, 54, 3] Generated Node #2: [3, 54, 3] from Operation: 85-82=3 Current State: 45:[3, 54, 3], Operations: ['85-82=3'] Exploring Operation: 3*3=9, Resulting Numbers: [54, 9] Generated Node #3: [54, 9] from Operation: 3*3=9 Current State: 45:[54, 9], Operations: ['85-82=3', '3*3=9'] Exploring Operation: 54-9=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 29, 6, 23, 13 ]
96
[ "29+13=42", "6*23=138", "138-42=96" ]
Current State: 96:[29, 6, 23, 13], Operations: [] Exploring Operation: 29+13=42, Resulting Numbers: [6, 23, 42] Generated Node #2: [6, 23, 42] from Operation: 29+13=42 Current State: 96:[6, 23, 42], Operations: ['29+13=42'] Exploring Operation: 6*23=138, Resulting Numbers: [42, 138] Generated Node #3: [42, 138] from Operation: 6*23=138 Current State: 96:[42, 138], Operations: ['29+13=42', '6*23=138'] Exploring Operation: 138-42=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 96, 19, 40, 93 ]
17
[ "96-93=3", "19*3=57", "57-40=17" ]
Current State: 17:[96, 19, 40, 93], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [19, 40, 3] Generated Node #2: [19, 40, 3] from Operation: 96-93=3 Current State: 17:[19, 40, 3], Operations: ['96-93=3'] Exploring Operation: 19*3=57, Resulting Numbers: [40, 57] Generated Node #3: [40, 57] from Operation: 19*3=57 Current State: 17:[40, 57], Operations: ['96-93=3', '19*3=57'] Exploring Operation: 57-40=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 12, 9, 75, 83 ]
58
[ "12-9=3", "75/3=25", "83-25=58" ]
Current State: 58:[12, 9, 75, 83], Operations: [] Exploring Operation: 12-9=3, Resulting Numbers: [75, 83, 3] Generated Node #2: [75, 83, 3] from Operation: 12-9=3 Current State: 58:[75, 83, 3], Operations: ['12-9=3'] Exploring Operation: 75/3=25, Resulting Numbers: [83, 25] Generated Node #3: [83, 25] from Operation: 75/3=25 Current State: 58:[83, 25], Operations: ['12-9=3', '75/3=25'] Exploring Operation: 83-25=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 35, 35, 6, 71 ]
41
[ "71-35=36", "36/6=6", "35+6=41" ]
Current State: 41:[35, 35, 6, 71], Operations: [] Exploring Operation: 71-35=36, Resulting Numbers: [6, 36] Generated Node #2: [6, 36] from Operation: 71-35=36 Current State: 41:[6, 36], Operations: ['71-35=36'] Exploring Operation: 36/6=6, Resulting Numbers: [6] 6,41 equal: Goal Reached Exploring Operation: 35+6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 38, 20, 74 ]
48
[ "38-32=6", "74-20=54", "54-6=48" ]
Current State: 48:[32, 38, 20, 74], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [20, 74, 6] Generated Node #2: [20, 74, 6] from Operation: 38-32=6 Current State: 48:[20, 74, 6], Operations: ['38-32=6'] Exploring Operation: 74-20=54, Resulting Numbers: [6, 54] Generated Node #3: [6, 54] from Operation: 74-20=54 Current State: 48:[6, 54], Operations: ['38-32=6', '74-20=54'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 63, 44, 28 ]
49
[ "44-8=36", "63*28=1764", "1764/36=49" ]
Current State: 49:[8, 63, 44, 28], Operations: [] Exploring Operation: 44-8=36, Resulting Numbers: [63, 28, 36] Generated Node #2: [63, 28, 36] from Operation: 44-8=36 Current State: 49:[63, 28, 36], Operations: ['44-8=36'] Exploring Operation: 63*28=1764, Resulting Numbers: [36, 1764] Generated Node #3: [36, 1764] from Operation: 63*28=1764 Current State: 49:[36, 1764], Operations: ['44-8=36', '63*28=1764'] Exploring Operation: 1764/36=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 3, 67, 2 ]
59
[ "22+2=24", "24/3=8", "67-8=59" ]
Current State: 59:[22, 3, 67, 2], Operations: [] Exploring Operation: 22+2=24, Resulting Numbers: [3, 67, 24] Generated Node #2: [3, 67, 24] from Operation: 22+2=24 Current State: 59:[3, 67, 24], Operations: ['22+2=24'] Exploring Operation: 24/3=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 24/3=8 Current State: 59:[67, 8], Operations: ['22+2=24', '24/3=8'] Exploring Operation: 67-8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 3, 4, 39 ]
12
[ "28+3=31", "4+39=43", "43-31=12" ]
Current State: 12:[28, 3, 4, 39], Operations: [] Exploring Operation: 28+3=31, Resulting Numbers: [4, 39, 31] Generated Node #2: [4, 39, 31] from Operation: 28+3=31 Current State: 12:[4, 39, 31], Operations: ['28+3=31'] Exploring Operation: 4+39=43, Resulting Numbers: [31, 43] Generated Node #3: [31, 43] from Operation: 4+39=43 Current State: 12:[31, 43], Operations: ['28+3=31', '4+39=43'] Exploring Operation: 43-31=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 2, 88, 29, 91 ]
27
[ "88-29=59", "2*59=118", "118-91=27" ]
Current State: 27:[2, 88, 29, 91], Operations: [] Exploring Operation: 88-29=59, Resulting Numbers: [2, 91, 59] Generated Node #2: [2, 91, 59] from Operation: 88-29=59 Current State: 27:[2, 91, 59], Operations: ['88-29=59'] Exploring Operation: 2*59=118, Resulting Numbers: [91, 118] Generated Node #3: [91, 118] from Operation: 2*59=118 Current State: 27:[91, 118], Operations: ['88-29=59', '2*59=118'] Exploring Operation: 118-91=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 4, 68, 9 ]
37
[ "63-9=54", "68/4=17", "54-17=37" ]
Current State: 37:[63, 4, 68, 9], Operations: [] Exploring Operation: 63-9=54, Resulting Numbers: [4, 68, 54] Generated Node #2: [4, 68, 54] from Operation: 63-9=54 Current State: 37:[4, 68, 54], Operations: ['63-9=54'] Exploring Operation: 68/4=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 68/4=17 Current State: 37:[54, 17], Operations: ['63-9=54', '68/4=17'] Exploring Operation: 54-17=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 16, 91, 66 ]
36
[ "12*91=1092", "16*66=1056", "1092-1056=36" ]
Current State: 36:[12, 16, 91, 66], Operations: [] Exploring Operation: 12*91=1092, Resulting Numbers: [16, 66, 1092] Generated Node #2: [16, 66, 1092] from Operation: 12*91=1092 Current State: 36:[16, 66, 1092], Operations: ['12*91=1092'] Exploring Operation: 16*66=1056, Resulting Numbers: [1092, 1056] Generated Node #3: [1092, 1056] from Operation: 16*66=1056 Current State: 36:[1092, 1056], Operations: ['12*91=1092', '16*66=1056'] Exploring Operation: 1092-1056=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 40, 95, 35, 36 ]
17
[ "40-35=5", "95/5=19", "36-19=17" ]
Current State: 17:[40, 95, 35, 36], Operations: [] Exploring Operation: 40-35=5, Resulting Numbers: [95, 36, 5] Generated Node #2: [95, 36, 5] from Operation: 40-35=5 Current State: 17:[95, 36, 5], Operations: ['40-35=5'] Exploring Operation: 95/5=19, Resulting Numbers: [36, 19] Generated Node #3: [36, 19] from Operation: 95/5=19 Current State: 17:[36, 19], Operations: ['40-35=5', '95/5=19'] Exploring Operation: 36-19=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 56, 7, 7, 2 ]
27
[ "56/2=28", "7/7=1", "28-1=27" ]
Current State: 27:[56, 7, 7, 2], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [7, 7, 28] Generated Node #2: [7, 7, 28] from Operation: 56/2=28 Current State: 27:[7, 7, 28], Operations: ['56/2=28'] Exploring Operation: 7/7=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 7/7=1 Current State: 27:[28, 1], Operations: ['56/2=28', '7/7=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 50, 42, 47, 6 ]
60
[ "50-47=3", "6*3=18", "42+18=60" ]
Current State: 60:[50, 42, 47, 6], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [42, 6, 3] Generated Node #2: [42, 6, 3] from Operation: 50-47=3 Current State: 60:[42, 6, 3], Operations: ['50-47=3'] Exploring Operation: 6*3=18, Resulting Numbers: [42, 18] Generated Node #3: [42, 18] from Operation: 6*3=18 Current State: 60:[42, 18], Operations: ['50-47=3', '6*3=18'] Exploring Operation: 42+18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 89, 95, 34, 72 ]
78
[ "89+95=184", "34+72=106", "184-106=78" ]
Current State: 78:[89, 95, 34, 72], Operations: [] Exploring Operation: 89+95=184, Resulting Numbers: [34, 72, 184] Generated Node #2: [34, 72, 184] from Operation: 89+95=184 Current State: 78:[34, 72, 184], Operations: ['89+95=184'] Exploring Operation: 34+72=106, Resulting Numbers: [184, 106] Generated Node #3: [184, 106] from Operation: 34+72=106 Current State: 78:[184, 106], Operations: ['89+95=184', '34+72=106'] Exploring Operation: 184-106=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 72, 96, 4 ]
26
[ "96-72=24", "24/4=6", "20+6=26" ]
Current State: 26:[20, 72, 96, 4], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [20, 4, 24] Generated Node #2: [20, 4, 24] from Operation: 96-72=24 Current State: 26:[20, 4, 24], Operations: ['96-72=24'] Exploring Operation: 24/4=6, Resulting Numbers: [20, 6] Generated Node #3: [20, 6] from Operation: 24/4=6 Current State: 26:[20, 6], Operations: ['96-72=24', '24/4=6'] Exploring Operation: 20+6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 97, 11, 22, 11 ]
84
[ "97-11=86", "22/11=2", "86-2=84" ]
Current State: 84:[97, 11, 22, 11], Operations: [] Exploring Operation: 97-11=86, Resulting Numbers: [22, 86] Generated Node #2: [22, 86] from Operation: 97-11=86 Current State: 84:[22, 86], Operations: ['97-11=86'] Exploring Operation: 22/11=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 22/11=2 Current State: 84:[86, 2], Operations: ['97-11=86', '22/11=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 7, 39, 54, 2 ]
17
[ "7+54=61", "39*2=78", "78-61=17" ]
Current State: 17:[7, 39, 54, 2], Operations: [] Exploring Operation: 7+54=61, Resulting Numbers: [39, 2, 61] Generated Node #2: [39, 2, 61] from Operation: 7+54=61 Current State: 17:[39, 2, 61], Operations: ['7+54=61'] Exploring Operation: 39*2=78, Resulting Numbers: [61, 78] Generated Node #3: [61, 78] from Operation: 39*2=78 Current State: 17:[61, 78], Operations: ['7+54=61', '39*2=78'] Exploring Operation: 78-61=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 70, 26, 98 ]
81
[ "83+70=153", "98-26=72", "153-72=81" ]
Current State: 81:[83, 70, 26, 98], Operations: [] Exploring Operation: 83+70=153, Resulting Numbers: [26, 98, 153] Generated Node #2: [26, 98, 153] from Operation: 83+70=153 Current State: 81:[26, 98, 153], Operations: ['83+70=153'] Exploring Operation: 98-26=72, Resulting Numbers: [153, 72] Generated Node #3: [153, 72] from Operation: 98-26=72 Current State: 81:[153, 72], Operations: ['83+70=153', '98-26=72'] Exploring Operation: 153-72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 17, 11, 3 ]
39
[ "30+17=47", "11-3=8", "47-8=39" ]
Current State: 39:[30, 17, 11, 3], Operations: [] Exploring Operation: 30+17=47, Resulting Numbers: [11, 3, 47] Generated Node #2: [11, 3, 47] from Operation: 30+17=47 Current State: 39:[11, 3, 47], Operations: ['30+17=47'] Exploring Operation: 11-3=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 11-3=8 Current State: 39:[47, 8], Operations: ['30+17=47', '11-3=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 2, 51, 43, 93 ]
92
[ "2*93=186", "51+43=94", "186-94=92" ]
Current State: 92:[2, 51, 43, 93], Operations: [] Exploring Operation: 2*93=186, Resulting Numbers: [51, 43, 186] Generated Node #2: [51, 43, 186] from Operation: 2*93=186 Current State: 92:[51, 43, 186], Operations: ['2*93=186'] Exploring Operation: 51+43=94, Resulting Numbers: [186, 94] Generated Node #3: [186, 94] from Operation: 51+43=94 Current State: 92:[186, 94], Operations: ['2*93=186', '51+43=94'] Exploring Operation: 186-94=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 11, 96, 43, 63 ]
40
[ "96-63=33", "33/11=3", "43-3=40" ]
Current State: 40:[11, 96, 43, 63], Operations: [] Exploring Operation: 96-63=33, Resulting Numbers: [11, 43, 33] Generated Node #2: [11, 43, 33] from Operation: 96-63=33 Current State: 40:[11, 43, 33], Operations: ['96-63=33'] Exploring Operation: 33/11=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 33/11=3 Current State: 40:[43, 3], Operations: ['96-63=33', '33/11=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 42, 53, 52, 31 ]
10
[ "53-42=11", "52-31=21", "21-11=10" ]
Current State: 10:[42, 53, 52, 31], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [52, 31, 11] Generated Node #2: [52, 31, 11] from Operation: 53-42=11 Current State: 10:[52, 31, 11], Operations: ['53-42=11'] Exploring Operation: 52-31=21, Resulting Numbers: [11, 21] Generated Node #3: [11, 21] from Operation: 52-31=21 Current State: 10:[11, 21], Operations: ['53-42=11', '52-31=21'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 52, 58, 78, 57 ]
30
[ "58*78=4524", "4524/52=87", "87-57=30" ]
Current State: 30:[52, 58, 78, 57], Operations: [] Exploring Operation: 58*78=4524, Resulting Numbers: [52, 57, 4524] Generated Node #2: [52, 57, 4524] from Operation: 58*78=4524 Current State: 30:[52, 57, 4524], Operations: ['58*78=4524'] Exploring Operation: 4524/52=87, Resulting Numbers: [57, 87] Generated Node #3: [57, 87] from Operation: 4524/52=87 Current State: 30:[57, 87], Operations: ['58*78=4524', '4524/52=87'] Exploring Operation: 87-57=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 4, 67, 78, 98 ]
92
[ "4*67=268", "78+98=176", "268-176=92" ]
Current State: 92:[4, 67, 78, 98], Operations: [] Exploring Operation: 4*67=268, Resulting Numbers: [78, 98, 268] Generated Node #2: [78, 98, 268] from Operation: 4*67=268 Current State: 92:[78, 98, 268], Operations: ['4*67=268'] Exploring Operation: 78+98=176, Resulting Numbers: [268, 176] Generated Node #3: [268, 176] from Operation: 78+98=176 Current State: 92:[268, 176], Operations: ['4*67=268', '78+98=176'] Exploring Operation: 268-176=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 53, 20, 29 ]
34
[ "20/2=10", "53-29=24", "10+24=34" ]
Current State: 34:[2, 53, 20, 29], Operations: [] Exploring Operation: 20/2=10, Resulting Numbers: [53, 29, 10] Generated Node #2: [53, 29, 10] from Operation: 20/2=10 Current State: 34:[53, 29, 10], Operations: ['20/2=10'] Exploring Operation: 53-29=24, Resulting Numbers: [10, 24] Generated Node #3: [10, 24] from Operation: 53-29=24 Current State: 34:[10, 24], Operations: ['20/2=10', '53-29=24'] Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 48, 3, 5 ]
30
[ "98-48=50", "3*50=150", "150/5=30" ]
Current State: 30:[98, 48, 3, 5], Operations: [] Exploring Operation: 98-48=50, Resulting Numbers: [3, 5, 50] Generated Node #2: [3, 5, 50] from Operation: 98-48=50 Current State: 30:[3, 5, 50], Operations: ['98-48=50'] Exploring Operation: 3*50=150, Resulting Numbers: [5, 150] Generated Node #3: [5, 150] from Operation: 3*50=150 Current State: 30:[5, 150], Operations: ['98-48=50', '3*50=150'] Exploring Operation: 150/5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 9, 9, 91 ]
22
[ "51+9=60", "91-9=82", "82-60=22" ]
Current State: 22:[51, 9, 9, 91], Operations: [] Exploring Operation: 51+9=60, Resulting Numbers: [91, 60] Generated Node #2: [91, 60] from Operation: 51+9=60 Current State: 22:[91, 60], Operations: ['51+9=60'] Exploring Operation: 91-9=82, Resulting Numbers: [60, 82] Generated Node #3: [60, 82] from Operation: 91-9=82 Current State: 22:[60, 82], Operations: ['51+9=60', '91-9=82'] Exploring Operation: 82-60=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 92, 74, 54, 86 ]
26
[ "92+74=166", "54+86=140", "166-140=26" ]
Current State: 26:[92, 74, 54, 86], Operations: [] Exploring Operation: 92+74=166, Resulting Numbers: [54, 86, 166] Generated Node #2: [54, 86, 166] from Operation: 92+74=166 Current State: 26:[54, 86, 166], Operations: ['92+74=166'] Exploring Operation: 54+86=140, Resulting Numbers: [166, 140] Generated Node #3: [166, 140] from Operation: 54+86=140 Current State: 26:[166, 140], Operations: ['92+74=166', '54+86=140'] Exploring Operation: 166-140=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 87, 29, 52, 78 ]
78
[ "87/29=3", "78-52=26", "3*26=78" ]
Current State: 78:[87, 29, 52, 78], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [52, 78, 3] Generated Node #2: [52, 78, 3] from Operation: 87/29=3 Current State: 78:[52, 78, 3], Operations: ['87/29=3'] Exploring Operation: 78-52=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 78-52=26 Current State: 78:[3, 26], Operations: ['87/29=3', '78-52=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 97, 50, 52 ]
99
[ "4+97=101", "52-50=2", "101-2=99" ]
Current State: 99:[4, 97, 50, 52], Operations: [] Exploring Operation: 4+97=101, Resulting Numbers: [50, 52, 101] Generated Node #2: [50, 52, 101] from Operation: 4+97=101 Current State: 99:[50, 52, 101], Operations: ['4+97=101'] Exploring Operation: 52-50=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 52-50=2 Current State: 99:[101, 2], Operations: ['4+97=101', '52-50=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 59, 11, 24 ]
39
[ "63-59=4", "11+24=35", "4+35=39" ]
Current State: 39:[63, 59, 11, 24], Operations: [] Exploring Operation: 63-59=4, Resulting Numbers: [11, 24, 4] Generated Node #2: [11, 24, 4] from Operation: 63-59=4 Current State: 39:[11, 24, 4], Operations: ['63-59=4'] Exploring Operation: 11+24=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 11+24=35 Current State: 39:[4, 35], Operations: ['63-59=4', '11+24=35'] Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 23, 74, 79, 6 ]
22
[ "74-23=51", "79-6=73", "73-51=22" ]
Current State: 22:[23, 74, 79, 6], Operations: [] Exploring Operation: 74-23=51, Resulting Numbers: [79, 6, 51] Generated Node #2: [79, 6, 51] from Operation: 74-23=51 Current State: 22:[79, 6, 51], Operations: ['74-23=51'] Exploring Operation: 79-6=73, Resulting Numbers: [51, 73] Generated Node #3: [51, 73] from Operation: 79-6=73 Current State: 22:[51, 73], Operations: ['74-23=51', '79-6=73'] Exploring Operation: 73-51=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 57, 52, 5, 7 ]
31
[ "7-5=2", "52/2=26", "57-26=31" ]
Current State: 31:[57, 52, 5, 7], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [57, 52, 2] Generated Node #2: [57, 52, 2] from Operation: 7-5=2 Current State: 31:[57, 52, 2], Operations: ['7-5=2'] Exploring Operation: 52/2=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 52/2=26 Current State: 31:[57, 26], Operations: ['7-5=2', '52/2=26'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 65, 15, 69, 5 ]
65
[ "69-65=4", "15*4=60", "5+60=65" ]
Current State: 65:[65, 15, 69, 5], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [15, 5, 4] Generated Node #2: [15, 5, 4] from Operation: 69-65=4 Current State: 65:[15, 5, 4], Operations: ['69-65=4'] Exploring Operation: 15*4=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 15*4=60 Current State: 65:[5, 60], Operations: ['69-65=4', '15*4=60'] Exploring Operation: 5+60=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 63, 55, 12 ]
53
[ "63-39=24", "24/12=2", "55-2=53" ]
Current State: 53:[39, 63, 55, 12], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [55, 12, 24] Generated Node #2: [55, 12, 24] from Operation: 63-39=24 Current State: 53:[55, 12, 24], Operations: ['63-39=24'] Exploring Operation: 24/12=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 24/12=2 Current State: 53:[55, 2], Operations: ['63-39=24', '24/12=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 91, 65, 93 ]
70
[ "65-30=35", "93-91=2", "35*2=70" ]
Current State: 70:[30, 91, 65, 93], Operations: [] Exploring Operation: 65-30=35, Resulting Numbers: [91, 93, 35] Generated Node #2: [91, 93, 35] from Operation: 65-30=35 Current State: 70:[91, 93, 35], Operations: ['65-30=35'] Exploring Operation: 93-91=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 93-91=2 Current State: 70:[35, 2], Operations: ['65-30=35', '93-91=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 68, 81, 78, 94 ]
76
[ "68+94=162", "162/81=2", "78-2=76" ]
Current State: 76:[68, 81, 78, 94], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [81, 78, 162] Generated Node #2: [81, 78, 162] from Operation: 68+94=162 Current State: 76:[81, 78, 162], Operations: ['68+94=162'] Exploring Operation: 162/81=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 162/81=2 Current State: 76:[78, 2], Operations: ['68+94=162', '162/81=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 52, 26, 82 ]
78
[ "83-82=1", "52+26=78", "1*78=78" ]
Current State: 78:[83, 52, 26, 82], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [52, 26, 1] Generated Node #2: [52, 26, 1] from Operation: 83-82=1 Current State: 78:[52, 26, 1], Operations: ['83-82=1'] Exploring Operation: 52+26=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 52+26=78 Current State: 78:[1, 78], Operations: ['83-82=1', '52+26=78'] Exploring Operation: 1*78=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 92, 11, 35, 89 ]
68
[ "92-89=3", "11*3=33", "35+33=68" ]
Current State: 68:[92, 11, 35, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [11, 35, 3] Generated Node #2: [11, 35, 3] from Operation: 92-89=3 Current State: 68:[11, 35, 3], Operations: ['92-89=3'] Exploring Operation: 11*3=33, Resulting Numbers: [35, 33] Generated Node #3: [35, 33] from Operation: 11*3=33 Current State: 68:[35, 33], Operations: ['92-89=3', '11*3=33'] Exploring Operation: 35+33=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 35, 28, 32, 56 ]
21
[ "32-28=4", "56/4=14", "35-14=21" ]
Current State: 21:[35, 28, 32, 56], Operations: [] Exploring Operation: 32-28=4, Resulting Numbers: [35, 56, 4] Generated Node #2: [35, 56, 4] from Operation: 32-28=4 Current State: 21:[35, 56, 4], Operations: ['32-28=4'] Exploring Operation: 56/4=14, Resulting Numbers: [35, 14] Generated Node #3: [35, 14] from Operation: 56/4=14 Current State: 21:[35, 14], Operations: ['32-28=4', '56/4=14'] Exploring Operation: 35-14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 50, 92, 19, 52 ]
54
[ "52-50=2", "19*2=38", "92-38=54" ]
Current State: 54:[50, 92, 19, 52], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [92, 19, 2] Generated Node #2: [92, 19, 2] from Operation: 52-50=2 Current State: 54:[92, 19, 2], Operations: ['52-50=2'] Exploring Operation: 19*2=38, Resulting Numbers: [92, 38] Generated Node #3: [92, 38] from Operation: 19*2=38 Current State: 54:[92, 38], Operations: ['52-50=2', '19*2=38'] Exploring Operation: 92-38=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 12, 4, 29, 63 ]
24
[ "12/4=3", "29*3=87", "87-63=24" ]
Current State: 24:[12, 4, 29, 63], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [29, 63, 3] Generated Node #2: [29, 63, 3] from Operation: 12/4=3 Current State: 24:[29, 63, 3], Operations: ['12/4=3'] Exploring Operation: 29*3=87, Resulting Numbers: [63, 87] Generated Node #3: [63, 87] from Operation: 29*3=87 Current State: 24:[63, 87], Operations: ['12/4=3', '29*3=87'] Exploring Operation: 87-63=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 8, 80, 72, 96 ]
52
[ "80*72=5760", "5760/96=60", "60-8=52" ]
Current State: 52:[8, 80, 72, 96], Operations: [] Exploring Operation: 80*72=5760, Resulting Numbers: [8, 96, 5760] Generated Node #2: [8, 96, 5760] from Operation: 80*72=5760 Current State: 52:[8, 96, 5760], Operations: ['80*72=5760'] Exploring Operation: 5760/96=60, Resulting Numbers: [8, 60] Generated Node #3: [8, 60] from Operation: 5760/96=60 Current State: 52:[8, 60], Operations: ['80*72=5760', '5760/96=60'] Exploring Operation: 60-8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 24, 60, 35 ]
86
[ "24*35=840", "840/60=14", "72+14=86" ]
Current State: 86:[72, 24, 60, 35], Operations: [] Exploring Operation: 24*35=840, Resulting Numbers: [72, 60, 840] Generated Node #2: [72, 60, 840] from Operation: 24*35=840 Current State: 86:[72, 60, 840], Operations: ['24*35=840'] Exploring Operation: 840/60=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 840/60=14 Current State: 86:[72, 14], Operations: ['24*35=840', '840/60=14'] Exploring Operation: 72+14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 64, 46, 13, 31 ]
92
[ "64+46=110", "31-13=18", "110-18=92" ]
Current State: 92:[64, 46, 13, 31], Operations: [] Exploring Operation: 64+46=110, Resulting Numbers: [13, 31, 110] Generated Node #2: [13, 31, 110] from Operation: 64+46=110 Current State: 92:[13, 31, 110], Operations: ['64+46=110'] Exploring Operation: 31-13=18, Resulting Numbers: [110, 18] Generated Node #3: [110, 18] from Operation: 31-13=18 Current State: 92:[110, 18], Operations: ['64+46=110', '31-13=18'] Exploring Operation: 110-18=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 39, 36, 1, 46 ]
44
[ "39-36=3", "1+46=47", "47-3=44" ]
Current State: 44:[39, 36, 1, 46], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [1, 46, 3] Generated Node #2: [1, 46, 3] from Operation: 39-36=3 Current State: 44:[1, 46, 3], Operations: ['39-36=3'] Exploring Operation: 1+46=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 1+46=47 Current State: 44:[3, 47], Operations: ['39-36=3', '1+46=47'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 57, 57, 84, 23 ]
53
[ "57+57=114", "84-23=61", "114-61=53" ]
Current State: 53:[57, 57, 84, 23], Operations: [] Exploring Operation: 57+57=114, Resulting Numbers: [84, 23, 114] Generated Node #2: [84, 23, 114] from Operation: 57+57=114 Current State: 53:[84, 23, 114], Operations: ['57+57=114'] Exploring Operation: 84-23=61, Resulting Numbers: [114, 61] Generated Node #3: [114, 61] from Operation: 84-23=61 Current State: 53:[114, 61], Operations: ['57+57=114', '84-23=61'] Exploring Operation: 114-61=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 20, 58, 55, 7 ]
81
[ "20+7=27", "58-55=3", "27*3=81" ]
Current State: 81:[20, 58, 55, 7], Operations: [] Exploring Operation: 20+7=27, Resulting Numbers: [58, 55, 27] Generated Node #2: [58, 55, 27] from Operation: 20+7=27 Current State: 81:[58, 55, 27], Operations: ['20+7=27'] Exploring Operation: 58-55=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 58-55=3 Current State: 81:[27, 3], Operations: ['20+7=27', '58-55=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 66, 40, 45, 59 ]
30
[ "66*45=2970", "40+59=99", "2970/99=30" ]
Current State: 30:[66, 40, 45, 59], Operations: [] Exploring Operation: 66*45=2970, Resulting Numbers: [40, 59, 2970] Generated Node #2: [40, 59, 2970] from Operation: 66*45=2970 Current State: 30:[40, 59, 2970], Operations: ['66*45=2970'] Exploring Operation: 40+59=99, Resulting Numbers: [2970, 99] Generated Node #3: [2970, 99] from Operation: 40+59=99 Current State: 30:[2970, 99], Operations: ['66*45=2970', '40+59=99'] Exploring Operation: 2970/99=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 45, 24, 2, 11 ]
87
[ "24/2=12", "11*12=132", "132-45=87" ]
Current State: 87:[45, 24, 2, 11], Operations: [] Exploring Operation: 24/2=12, Resulting Numbers: [45, 11, 12] Generated Node #2: [45, 11, 12] from Operation: 24/2=12 Current State: 87:[45, 11, 12], Operations: ['24/2=12'] Exploring Operation: 11*12=132, Resulting Numbers: [45, 132] Generated Node #3: [45, 132] from Operation: 11*12=132 Current State: 87:[45, 132], Operations: ['24/2=12', '11*12=132'] Exploring Operation: 132-45=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 63, 9, 82, 61 ]
32
[ "63-61=2", "82/2=41", "41-9=32" ]
Current State: 32:[63, 9, 82, 61], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [9, 82, 2] Generated Node #2: [9, 82, 2] from Operation: 63-61=2 Current State: 32:[9, 82, 2], Operations: ['63-61=2'] Exploring Operation: 82/2=41, Resulting Numbers: [9, 41] Generated Node #3: [9, 41] from Operation: 82/2=41 Current State: 32:[9, 41], Operations: ['63-61=2', '82/2=41'] Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 98, 50, 22, 22 ]
50
[ "22-22=0", "98*0=0", "50+0=50" ]
Current State: 50:[98, 50, 22, 22], Operations: [] Exploring Operation: 22-22=0, Resulting Numbers: [98, 50, 0] Generated Node #2: [98, 50, 0] from Operation: 22-22=0 Current State: 50:[98, 50, 0], Operations: ['22-22=0'] Exploring Operation: 98*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 98*0=0 Current State: 50:[50, 0], Operations: ['22-22=0', '98*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 21, 13, 82 ]
32
[ "86-82=4", "21-13=8", "4*8=32" ]
Current State: 32:[86, 21, 13, 82], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [21, 13, 4] Generated Node #2: [21, 13, 4] from Operation: 86-82=4 Current State: 32:[21, 13, 4], Operations: ['86-82=4'] Exploring Operation: 21-13=8, Resulting Numbers: [4, 8] Generated Node #3: [4, 8] from Operation: 21-13=8 Current State: 32:[4, 8], Operations: ['86-82=4', '21-13=8'] Exploring Operation: 4*8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 29, 65, 57 ]
35
[ "14+29=43", "65-57=8", "43-8=35" ]
Current State: 35:[14, 29, 65, 57], Operations: [] Exploring Operation: 14+29=43, Resulting Numbers: [65, 57, 43] Generated Node #2: [65, 57, 43] from Operation: 14+29=43 Current State: 35:[65, 57, 43], Operations: ['14+29=43'] Exploring Operation: 65-57=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 65-57=8 Current State: 35:[43, 8], Operations: ['14+29=43', '65-57=8'] Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 35, 87, 92, 93 ]
86
[ "92-87=5", "35/5=7", "93-7=86" ]
Current State: 86:[35, 87, 92, 93], Operations: [] Exploring Operation: 92-87=5, Resulting Numbers: [35, 93, 5] Generated Node #2: [35, 93, 5] from Operation: 92-87=5 Current State: 86:[35, 93, 5], Operations: ['92-87=5'] Exploring Operation: 35/5=7, Resulting Numbers: [93, 7] Generated Node #3: [93, 7] from Operation: 35/5=7 Current State: 86:[93, 7], Operations: ['92-87=5', '35/5=7'] Exploring Operation: 93-7=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 1, 97, 41 ]
65
[ "8+1=9", "97-41=56", "9+56=65" ]
Current State: 65:[8, 1, 97, 41], Operations: [] Exploring Operation: 8+1=9, Resulting Numbers: [97, 41, 9] Generated Node #2: [97, 41, 9] from Operation: 8+1=9 Current State: 65:[97, 41, 9], Operations: ['8+1=9'] Exploring Operation: 97-41=56, Resulting Numbers: [9, 56] Generated Node #3: [9, 56] from Operation: 97-41=56 Current State: 65:[9, 56], Operations: ['8+1=9', '97-41=56'] Exploring Operation: 9+56=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 28, 64, 8, 45 ]
25
[ "45-28=17", "64/8=8", "17+8=25" ]
Current State: 25:[28, 64, 8, 45], Operations: [] Exploring Operation: 45-28=17, Resulting Numbers: [64, 8, 17] Generated Node #2: [64, 8, 17] from Operation: 45-28=17 Current State: 25:[64, 8, 17], Operations: ['45-28=17'] Exploring Operation: 64/8=8, Resulting Numbers: [17, 8] Generated Node #3: [17, 8] from Operation: 64/8=8 Current State: 25:[17, 8], Operations: ['45-28=17', '64/8=8'] Exploring Operation: 17+8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 50, 2, 42, 45 ]
49
[ "50+2=52", "45-42=3", "52-3=49" ]
Current State: 49:[50, 2, 42, 45], Operations: [] Exploring Operation: 50+2=52, Resulting Numbers: [42, 45, 52] Generated Node #2: [42, 45, 52] from Operation: 50+2=52 Current State: 49:[42, 45, 52], Operations: ['50+2=52'] Exploring Operation: 45-42=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 45-42=3 Current State: 49:[52, 3], Operations: ['50+2=52', '45-42=3'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 75, 2, 37, 46 ]
16
[ "75-37=38", "46-38=8", "2*8=16" ]
Current State: 16:[75, 2, 37, 46], Operations: [] Exploring Operation: 75-37=38, Resulting Numbers: [2, 46, 38] Generated Node #2: [2, 46, 38] from Operation: 75-37=38 Current State: 16:[2, 46, 38], Operations: ['75-37=38'] Exploring Operation: 46-38=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 46-38=8 Current State: 16:[2, 8], Operations: ['75-37=38', '46-38=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 18, 67, 58, 72 ]
74
[ "67-58=9", "18/9=2", "72+2=74" ]
Current State: 74:[18, 67, 58, 72], Operations: [] Exploring Operation: 67-58=9, Resulting Numbers: [18, 72, 9] Generated Node #2: [18, 72, 9] from Operation: 67-58=9 Current State: 74:[18, 72, 9], Operations: ['67-58=9'] Exploring Operation: 18/9=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 18/9=2 Current State: 74:[72, 2], Operations: ['67-58=9', '18/9=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 32, 77, 82 ]
75
[ "47-32=15", "82-77=5", "15*5=75" ]
Current State: 75:[47, 32, 77, 82], Operations: [] Exploring Operation: 47-32=15, Resulting Numbers: [77, 82, 15] Generated Node #2: [77, 82, 15] from Operation: 47-32=15 Current State: 75:[77, 82, 15], Operations: ['47-32=15'] Exploring Operation: 82-77=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 82-77=5 Current State: 75:[15, 5], Operations: ['47-32=15', '82-77=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 18, 66, 20 ]
16
[ "20-17=3", "66-18=48", "48/3=16" ]
Current State: 16:[17, 18, 66, 20], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [18, 66, 3] Generated Node #2: [18, 66, 3] from Operation: 20-17=3 Current State: 16:[18, 66, 3], Operations: ['20-17=3'] Exploring Operation: 66-18=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 66-18=48 Current State: 16:[3, 48], Operations: ['20-17=3', '66-18=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 72, 38, 35 ]
25
[ "38-35=3", "72/3=24", "1+24=25" ]
Current State: 25:[1, 72, 38, 35], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [1, 72, 3] Generated Node #2: [1, 72, 3] from Operation: 38-35=3 Current State: 25:[1, 72, 3], Operations: ['38-35=3'] Exploring Operation: 72/3=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 72/3=24 Current State: 25:[1, 24], Operations: ['38-35=3', '72/3=24'] Exploring Operation: 1+24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 83, 17, 74 ]
51
[ "83-77=6", "74-17=57", "57-6=51" ]
Current State: 51:[77, 83, 17, 74], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [17, 74, 6] Generated Node #2: [17, 74, 6] from Operation: 83-77=6 Current State: 51:[17, 74, 6], Operations: ['83-77=6'] Exploring Operation: 74-17=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 74-17=57 Current State: 51:[6, 57], Operations: ['83-77=6', '74-17=57'] Exploring Operation: 57-6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 28, 40, 42, 45 ]
99
[ "40-28=12", "42+45=87", "12+87=99" ]
Current State: 99:[28, 40, 42, 45], Operations: [] Exploring Operation: 40-28=12, Resulting Numbers: [42, 45, 12] Generated Node #2: [42, 45, 12] from Operation: 40-28=12 Current State: 99:[42, 45, 12], Operations: ['40-28=12'] Exploring Operation: 42+45=87, Resulting Numbers: [12, 87] Generated Node #3: [12, 87] from Operation: 42+45=87 Current State: 99:[12, 87], Operations: ['40-28=12', '42+45=87'] Exploring Operation: 12+87=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 13, 16, 30, 38 ]
48
[ "16-13=3", "30/3=10", "38+10=48" ]
Current State: 48:[13, 16, 30, 38], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [30, 38, 3] Generated Node #2: [30, 38, 3] from Operation: 16-13=3 Current State: 48:[30, 38, 3], Operations: ['16-13=3'] Exploring Operation: 30/3=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 30/3=10 Current State: 48:[38, 10], Operations: ['16-13=3', '30/3=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 75, 62, 33, 68 ]
36
[ "75+62=137", "33+68=101", "137-101=36" ]
Current State: 36:[75, 62, 33, 68], Operations: [] Exploring Operation: 75+62=137, Resulting Numbers: [33, 68, 137] Generated Node #2: [33, 68, 137] from Operation: 75+62=137 Current State: 36:[33, 68, 137], Operations: ['75+62=137'] Exploring Operation: 33+68=101, Resulting Numbers: [137, 101] Generated Node #3: [137, 101] from Operation: 33+68=101 Current State: 36:[137, 101], Operations: ['75+62=137', '33+68=101'] Exploring Operation: 137-101=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 10, 27, 1, 57 ]
95
[ "10+27=37", "1+57=58", "37+58=95" ]
Current State: 95:[10, 27, 1, 57], Operations: [] Exploring Operation: 10+27=37, Resulting Numbers: [1, 57, 37] Generated Node #2: [1, 57, 37] from Operation: 10+27=37 Current State: 95:[1, 57, 37], Operations: ['10+27=37'] Exploring Operation: 1+57=58, Resulting Numbers: [37, 58] Generated Node #3: [37, 58] from Operation: 1+57=58 Current State: 95:[37, 58], Operations: ['10+27=37', '1+57=58'] Exploring Operation: 37+58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 84, 86, 30, 39 ]
67
[ "86-84=2", "30+39=69", "69-2=67" ]
Current State: 67:[84, 86, 30, 39], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [30, 39, 2] Generated Node #2: [30, 39, 2] from Operation: 86-84=2 Current State: 67:[30, 39, 2], Operations: ['86-84=2'] Exploring Operation: 30+39=69, Resulting Numbers: [2, 69] Generated Node #3: [2, 69] from Operation: 30+39=69 Current State: 67:[2, 69], Operations: ['86-84=2', '30+39=69'] Exploring Operation: 69-2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 4, 96, 61, 13 ]
84
[ "61-13=48", "48/4=12", "96-12=84" ]
Current State: 84:[4, 96, 61, 13], Operations: [] Exploring Operation: 61-13=48, Resulting Numbers: [4, 96, 48] Generated Node #2: [4, 96, 48] from Operation: 61-13=48 Current State: 84:[4, 96, 48], Operations: ['61-13=48'] Exploring Operation: 48/4=12, Resulting Numbers: [96, 12] Generated Node #3: [96, 12] from Operation: 48/4=12 Current State: 84:[96, 12], Operations: ['61-13=48', '48/4=12'] Exploring Operation: 96-12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 60, 50, 81 ]
19
[ "52+60=112", "50+81=131", "131-112=19" ]
Current State: 19:[52, 60, 50, 81], Operations: [] Exploring Operation: 52+60=112, Resulting Numbers: [50, 81, 112] Generated Node #2: [50, 81, 112] from Operation: 52+60=112 Current State: 19:[50, 81, 112], Operations: ['52+60=112'] Exploring Operation: 50+81=131, Resulting Numbers: [112, 131] Generated Node #3: [112, 131] from Operation: 50+81=131 Current State: 19:[112, 131], Operations: ['52+60=112', '50+81=131'] Exploring Operation: 131-112=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 90, 22, 67, 27 ]
72
[ "90+22=112", "67-27=40", "112-40=72" ]
Current State: 72:[90, 22, 67, 27], Operations: [] Exploring Operation: 90+22=112, Resulting Numbers: [67, 27, 112] Generated Node #2: [67, 27, 112] from Operation: 90+22=112 Current State: 72:[67, 27, 112], Operations: ['90+22=112'] Exploring Operation: 67-27=40, Resulting Numbers: [112, 40] Generated Node #3: [112, 40] from Operation: 67-27=40 Current State: 72:[112, 40], Operations: ['90+22=112', '67-27=40'] Exploring Operation: 112-40=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 51, 12, 15 ]
99
[ "60*12=720", "720/15=48", "51+48=99" ]
Current State: 99:[60, 51, 12, 15], Operations: [] Exploring Operation: 60*12=720, Resulting Numbers: [51, 15, 720] Generated Node #2: [51, 15, 720] from Operation: 60*12=720 Current State: 99:[51, 15, 720], Operations: ['60*12=720'] Exploring Operation: 720/15=48, Resulting Numbers: [51, 48] Generated Node #3: [51, 48] from Operation: 720/15=48 Current State: 99:[51, 48], Operations: ['60*12=720', '720/15=48'] Exploring Operation: 51+48=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 36, 56, 18 ]
65
[ "36/4=9", "56+18=74", "74-9=65" ]
Current State: 65:[4, 36, 56, 18], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [56, 18, 9] Generated Node #2: [56, 18, 9] from Operation: 36/4=9 Current State: 65:[56, 18, 9], Operations: ['36/4=9'] Exploring Operation: 56+18=74, Resulting Numbers: [9, 74] Generated Node #3: [9, 74] from Operation: 56+18=74 Current State: 65:[9, 74], Operations: ['36/4=9', '56+18=74'] Exploring Operation: 74-9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 19, 27, 5 ]
68
[ "54-27=27", "19*5=95", "95-27=68" ]
Current State: 68:[54, 19, 27, 5], Operations: [] Exploring Operation: 54-27=27, Resulting Numbers: [19, 5, 27] Generated Node #2: [19, 5, 27] from Operation: 54-27=27 Current State: 68:[19, 5, 27], Operations: ['54-27=27'] Exploring Operation: 19*5=95, Resulting Numbers: [27, 95] Generated Node #3: [27, 95] from Operation: 19*5=95 Current State: 68:[27, 95], Operations: ['54-27=27', '19*5=95'] Exploring Operation: 95-27=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 2, 83, 43 ]
52
[ "90+2=92", "83-43=40", "92-40=52" ]
Current State: 52:[90, 2, 83, 43], Operations: [] Exploring Operation: 90+2=92, Resulting Numbers: [83, 43, 92] Generated Node #2: [83, 43, 92] from Operation: 90+2=92 Current State: 52:[83, 43, 92], Operations: ['90+2=92'] Exploring Operation: 83-43=40, Resulting Numbers: [92, 40] Generated Node #3: [92, 40] from Operation: 83-43=40 Current State: 52:[92, 40], Operations: ['90+2=92', '83-43=40'] Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 61, 47, 70 ]
40
[ "96+61=157", "47+70=117", "157-117=40" ]
Current State: 40:[96, 61, 47, 70], Operations: [] Exploring Operation: 96+61=157, Resulting Numbers: [47, 70, 157] Generated Node #2: [47, 70, 157] from Operation: 96+61=157 Current State: 40:[47, 70, 157], Operations: ['96+61=157'] Exploring Operation: 47+70=117, Resulting Numbers: [157, 117] Generated Node #3: [157, 117] from Operation: 47+70=117 Current State: 40:[157, 117], Operations: ['96+61=157', '47+70=117'] Exploring Operation: 157-117=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 79, 9, 42, 28 ]
74
[ "79+9=88", "42-28=14", "88-14=74" ]
Current State: 74:[79, 9, 42, 28], Operations: [] Exploring Operation: 79+9=88, Resulting Numbers: [42, 28, 88] Generated Node #2: [42, 28, 88] from Operation: 79+9=88 Current State: 74:[42, 28, 88], Operations: ['79+9=88'] Exploring Operation: 42-28=14, Resulting Numbers: [88, 14] Generated Node #3: [88, 14] from Operation: 42-28=14 Current State: 74:[88, 14], Operations: ['79+9=88', '42-28=14'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 5, 16, 22, 27 ]
16
[ "5+16=21", "27-22=5", "21-5=16" ]
Current State: 16:[5, 16, 22, 27], Operations: [] Exploring Operation: 5+16=21, Resulting Numbers: [22, 27, 21] Generated Node #2: [22, 27, 21] from Operation: 5+16=21 Current State: 16:[22, 27, 21], Operations: ['5+16=21'] Exploring Operation: 27-22=5, Resulting Numbers: [21, 5] Generated Node #3: [21, 5] from Operation: 27-22=5 Current State: 16:[21, 5], Operations: ['5+16=21', '27-22=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 5, 61, 37 ]
19
[ "10-5=5", "61-37=24", "24-5=19" ]
Current State: 19:[10, 5, 61, 37], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [61, 37, 5] Generated Node #2: [61, 37, 5] from Operation: 10-5=5 Current State: 19:[61, 37, 5], Operations: ['10-5=5'] Exploring Operation: 61-37=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 61-37=24 Current State: 19:[5, 24], Operations: ['10-5=5', '61-37=24'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 14, 77, 26, 3 ]
68
[ "14+77=91", "26-3=23", "91-23=68" ]
Current State: 68:[14, 77, 26, 3], Operations: [] Exploring Operation: 14+77=91, Resulting Numbers: [26, 3, 91] Generated Node #2: [26, 3, 91] from Operation: 14+77=91 Current State: 68:[26, 3, 91], Operations: ['14+77=91'] Exploring Operation: 26-3=23, Resulting Numbers: [91, 23] Generated Node #3: [91, 23] from Operation: 26-3=23 Current State: 68:[91, 23], Operations: ['14+77=91', '26-3=23'] Exploring Operation: 91-23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 6, 2, 48 ]
97
[ "6+48=54", "2*54=108", "108-11=97" ]
Current State: 97:[11, 6, 2, 48], Operations: [] Exploring Operation: 6+48=54, Resulting Numbers: [11, 2, 54] Generated Node #2: [11, 2, 54] from Operation: 6+48=54 Current State: 97:[11, 2, 54], Operations: ['6+48=54'] Exploring Operation: 2*54=108, Resulting Numbers: [11, 108] Generated Node #3: [11, 108] from Operation: 2*54=108 Current State: 97:[11, 108], Operations: ['6+48=54', '2*54=108'] Exploring Operation: 108-11=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 45, 43, 28, 20 ]
46
[ "45-43=2", "28+20=48", "48-2=46" ]
Current State: 46:[45, 43, 28, 20], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [28, 20, 2] Generated Node #2: [28, 20, 2] from Operation: 45-43=2 Current State: 46:[28, 20, 2], Operations: ['45-43=2'] Exploring Operation: 28+20=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 28+20=48 Current State: 46:[2, 48], Operations: ['45-43=2', '28+20=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 15, 17, 44 ]
34
[ "17-15=2", "44/2=22", "56-22=34" ]
Current State: 34:[56, 15, 17, 44], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [56, 44, 2] Generated Node #2: [56, 44, 2] from Operation: 17-15=2 Current State: 34:[56, 44, 2], Operations: ['17-15=2'] Exploring Operation: 44/2=22, Resulting Numbers: [56, 22] Generated Node #3: [56, 22] from Operation: 44/2=22 Current State: 34:[56, 22], Operations: ['17-15=2', '44/2=22'] Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 32, 90, 92, 61 ]
90
[ "32+90=122", "122/61=2", "92-2=90" ]
Current State: 90:[32, 90, 92, 61], Operations: [] Exploring Operation: 32+90=122, Resulting Numbers: [92, 61, 122] Generated Node #2: [92, 61, 122] from Operation: 32+90=122 Current State: 90:[92, 61, 122], Operations: ['32+90=122'] Exploring Operation: 122/61=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 122/61=2 Current State: 90:[92, 2], Operations: ['32+90=122', '122/61=2'] Exploring Operation: 92-2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 17, 32, 10 ]
19
[ "24+17=41", "32-10=22", "41-22=19" ]
Current State: 19:[24, 17, 32, 10], Operations: [] Exploring Operation: 24+17=41, Resulting Numbers: [32, 10, 41] Generated Node #2: [32, 10, 41] from Operation: 24+17=41 Current State: 19:[32, 10, 41], Operations: ['24+17=41'] Exploring Operation: 32-10=22, Resulting Numbers: [41, 22] Generated Node #3: [41, 22] from Operation: 32-10=22 Current State: 19:[41, 22], Operations: ['24+17=41', '32-10=22'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 94, 47, 60 ]
22
[ "94/47=2", "60/2=30", "30-8=22" ]
Current State: 22:[8, 94, 47, 60], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [8, 60, 2] Generated Node #2: [8, 60, 2] from Operation: 94/47=2 Current State: 22:[8, 60, 2], Operations: ['94/47=2'] Exploring Operation: 60/2=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 60/2=30 Current State: 22:[8, 30], Operations: ['94/47=2', '60/2=30'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 17, 70, 66, 43 ]
25
[ "70-66=4", "17*4=68", "68-43=25" ]
Current State: 25:[17, 70, 66, 43], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [17, 43, 4] Generated Node #2: [17, 43, 4] from Operation: 70-66=4 Current State: 25:[17, 43, 4], Operations: ['70-66=4'] Exploring Operation: 17*4=68, Resulting Numbers: [43, 68] Generated Node #3: [43, 68] from Operation: 17*4=68 Current State: 25:[43, 68], Operations: ['70-66=4', '17*4=68'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 48, 90, 18 ]
33
[ "24-18=6", "90/6=15", "48-15=33" ]
Current State: 33:[24, 48, 90, 18], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [48, 90, 6] Generated Node #2: [48, 90, 6] from Operation: 24-18=6 Current State: 33:[48, 90, 6], Operations: ['24-18=6'] Exploring Operation: 90/6=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 90/6=15 Current State: 33:[48, 15], Operations: ['24-18=6', '90/6=15'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4