Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 83, 44, 78, 90 ]
26
[ "83-78=5", "90/5=18", "44-18=26" ]
Current State: 26:[83, 44, 78, 90], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [44, 90, 5] Generated Node #2: [44, 90, 5] from Operation: 83-78=5 Current State: 26:[44, 90, 5], Operations: ['83-78=5'] Exploring Operation: 90/5=18, Resulting Numbers: [44, 18] Generated Node #3: [44, 18] from Operation: 90/5=18 Current State: 26:[44, 18], Operations: ['83-78=5', '90/5=18'] Exploring Operation: 44-18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 82, 50, 73, 9 ]
32
[ "82-50=32", "73-9=64", "64-32=32" ]
Current State: 32:[82, 50, 73, 9], Operations: [] Exploring Operation: 82-50=32, Resulting Numbers: [73, 9, 32] Generated Node #2: [73, 9, 32] from Operation: 82-50=32 Current State: 32:[73, 9, 32], Operations: ['82-50=32'] Exploring Operation: 73-9=64, Resulting Numbers: [32, 64] Generated Node #3: [32, 64] from Operation: 73-9=64 Current State: 32:[32, 64], Operations: ['82-50=32', '73-9=64'] Exploring Operation: 64-32=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 98, 65, 92 ]
36
[ "98-35=63", "92-65=27", "63-27=36" ]
Current State: 36:[35, 98, 65, 92], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [65, 92, 63] Generated Node #2: [65, 92, 63] from Operation: 98-35=63 Current State: 36:[65, 92, 63], Operations: ['98-35=63'] Exploring Operation: 92-65=27, Resulting Numbers: [63, 27] Generated Node #3: [63, 27] from Operation: 92-65=27 Current State: 36:[63, 27], Operations: ['98-35=63', '92-65=27'] Exploring Operation: 63-27=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 18, 46, 6, 36 ]
69
[ "18+6=24", "46*36=1656", "1656/24=69" ]
Current State: 69:[18, 46, 6, 36], Operations: [] Exploring Operation: 18+6=24, Resulting Numbers: [46, 36, 24] Generated Node #2: [46, 36, 24] from Operation: 18+6=24 Current State: 69:[46, 36, 24], Operations: ['18+6=24'] Exploring Operation: 46*36=1656, Resulting Numbers: [24, 1656] Generated Node #3: [24, 1656] from Operation: 46*36=1656 Current State: 69:[24, 1656], Operations: ['18+6=24', '46*36=1656'] Exploring Operation: 1656/24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 88, 24, 3, 74 ]
18
[ "88-74=14", "3*14=42", "42-24=18" ]
Current State: 18:[88, 24, 3, 74], Operations: [] Exploring Operation: 88-74=14, Resulting Numbers: [24, 3, 14] Generated Node #2: [24, 3, 14] from Operation: 88-74=14 Current State: 18:[24, 3, 14], Operations: ['88-74=14'] Exploring Operation: 3*14=42, Resulting Numbers: [24, 42] Generated Node #3: [24, 42] from Operation: 3*14=42 Current State: 18:[24, 42], Operations: ['88-74=14', '3*14=42'] Exploring Operation: 42-24=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 23, 10, 48, 76 ]
91
[ "23+10=33", "48+76=124", "124-33=91" ]
Current State: 91:[23, 10, 48, 76], Operations: [] Exploring Operation: 23+10=33, Resulting Numbers: [48, 76, 33] Generated Node #2: [48, 76, 33] from Operation: 23+10=33 Current State: 91:[48, 76, 33], Operations: ['23+10=33'] Exploring Operation: 48+76=124, Resulting Numbers: [33, 124] Generated Node #3: [33, 124] from Operation: 48+76=124 Current State: 91:[33, 124], Operations: ['23+10=33', '48+76=124'] Exploring Operation: 124-33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 36, 51, 61 ]
70
[ "6+36=42", "51+61=112", "112-42=70" ]
Current State: 70:[6, 36, 51, 61], Operations: [] Exploring Operation: 6+36=42, Resulting Numbers: [51, 61, 42] Generated Node #2: [51, 61, 42] from Operation: 6+36=42 Current State: 70:[51, 61, 42], Operations: ['6+36=42'] Exploring Operation: 51+61=112, Resulting Numbers: [42, 112] Generated Node #3: [42, 112] from Operation: 51+61=112 Current State: 70:[42, 112], Operations: ['6+36=42', '51+61=112'] Exploring Operation: 112-42=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 22, 14, 85, 44 ]
77
[ "22+14=36", "85-44=41", "36+41=77" ]
Current State: 77:[22, 14, 85, 44], Operations: [] Exploring Operation: 22+14=36, Resulting Numbers: [85, 44, 36] Generated Node #2: [85, 44, 36] from Operation: 22+14=36 Current State: 77:[85, 44, 36], Operations: ['22+14=36'] Exploring Operation: 85-44=41, Resulting Numbers: [36, 41] Generated Node #3: [36, 41] from Operation: 85-44=41 Current State: 77:[36, 41], Operations: ['22+14=36', '85-44=41'] Exploring Operation: 36+41=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 58, 58, 86, 6 ]
36
[ "58+58=116", "86-6=80", "116-80=36" ]
Current State: 36:[58, 58, 86, 6], Operations: [] Exploring Operation: 58+58=116, Resulting Numbers: [86, 6, 116] Generated Node #2: [86, 6, 116] from Operation: 58+58=116 Current State: 36:[86, 6, 116], Operations: ['58+58=116'] Exploring Operation: 86-6=80, Resulting Numbers: [116, 80] Generated Node #3: [116, 80] from Operation: 86-6=80 Current State: 36:[116, 80], Operations: ['58+58=116', '86-6=80'] Exploring Operation: 116-80=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 90, 42, 54 ]
69
[ "90-9=81", "54-42=12", "81-12=69" ]
Current State: 69:[9, 90, 42, 54], Operations: [] Exploring Operation: 90-9=81, Resulting Numbers: [42, 54, 81] Generated Node #2: [42, 54, 81] from Operation: 90-9=81 Current State: 69:[42, 54, 81], Operations: ['90-9=81'] Exploring Operation: 54-42=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 54-42=12 Current State: 69:[81, 12], Operations: ['90-9=81', '54-42=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 89, 92, 2, 45 ]
51
[ "92-89=3", "2*3=6", "45+6=51" ]
Current State: 51:[89, 92, 2, 45], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [2, 45, 3] Generated Node #2: [2, 45, 3] from Operation: 92-89=3 Current State: 51:[2, 45, 3], Operations: ['92-89=3'] Exploring Operation: 2*3=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 2*3=6 Current State: 51:[45, 6], Operations: ['92-89=3', '2*3=6'] Exploring Operation: 45+6=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 68, 23, 13, 58 ]
100
[ "68-58=10", "23-13=10", "10*10=100" ]
Current State: 100:[68, 23, 13, 58], Operations: [] Exploring Operation: 68-58=10, Resulting Numbers: [23, 13, 10] Generated Node #2: [23, 13, 10] from Operation: 68-58=10 Current State: 100:[23, 13, 10], Operations: ['68-58=10'] Exploring Operation: 23-13=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 23-13=10 Current State: 100:[10, 10], Operations: ['68-58=10', '23-13=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 96, 36, 6, 59 ]
75
[ "96*6=576", "576/36=16", "59+16=75" ]
Current State: 75:[96, 36, 6, 59], Operations: [] Exploring Operation: 96*6=576, Resulting Numbers: [36, 59, 576] Generated Node #2: [36, 59, 576] from Operation: 96*6=576 Current State: 75:[36, 59, 576], Operations: ['96*6=576'] Exploring Operation: 576/36=16, Resulting Numbers: [59, 16] Generated Node #3: [59, 16] from Operation: 576/36=16 Current State: 75:[59, 16], Operations: ['96*6=576', '576/36=16'] Exploring Operation: 59+16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 81, 51, 52, 4 ]
86
[ "81-51=30", "52+4=56", "30+56=86" ]
Current State: 86:[81, 51, 52, 4], Operations: [] Exploring Operation: 81-51=30, Resulting Numbers: [52, 4, 30] Generated Node #2: [52, 4, 30] from Operation: 81-51=30 Current State: 86:[52, 4, 30], Operations: ['81-51=30'] Exploring Operation: 52+4=56, Resulting Numbers: [30, 56] Generated Node #3: [30, 56] from Operation: 52+4=56 Current State: 86:[30, 56], Operations: ['81-51=30', '52+4=56'] Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 4, 14, 9, 90 ]
84
[ "90/9=10", "10-4=6", "14*6=84" ]
Current State: 84:[4, 14, 9, 90], Operations: [] Exploring Operation: 90/9=10, Resulting Numbers: [4, 14, 10] Generated Node #2: [4, 14, 10] from Operation: 90/9=10 Current State: 84:[4, 14, 10], Operations: ['90/9=10'] Exploring Operation: 10-4=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 10-4=6 Current State: 84:[14, 6], Operations: ['90/9=10', '10-4=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 86, 99, 71, 82 ]
77
[ "82-71=11", "99/11=9", "86-9=77" ]
Current State: 77:[86, 99, 71, 82], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [86, 99, 11] Generated Node #2: [86, 99, 11] from Operation: 82-71=11 Current State: 77:[86, 99, 11], Operations: ['82-71=11'] Exploring Operation: 99/11=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 99/11=9 Current State: 77:[86, 9], Operations: ['82-71=11', '99/11=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 70, 13, 18, 3 ]
37
[ "70-13=57", "57/3=19", "18+19=37" ]
Current State: 37:[70, 13, 18, 3], Operations: [] Exploring Operation: 70-13=57, Resulting Numbers: [18, 3, 57] Generated Node #2: [18, 3, 57] from Operation: 70-13=57 Current State: 37:[18, 3, 57], Operations: ['70-13=57'] Exploring Operation: 57/3=19, Resulting Numbers: [18, 19] Generated Node #3: [18, 19] from Operation: 57/3=19 Current State: 37:[18, 19], Operations: ['70-13=57', '57/3=19'] Exploring Operation: 18+19=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 31, 17, 45, 60 ]
33
[ "31+17=48", "60-45=15", "48-15=33" ]
Current State: 33:[31, 17, 45, 60], Operations: [] Exploring Operation: 31+17=48, Resulting Numbers: [45, 60, 48] Generated Node #2: [45, 60, 48] from Operation: 31+17=48 Current State: 33:[45, 60, 48], Operations: ['31+17=48'] Exploring Operation: 60-45=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 60-45=15 Current State: 33:[48, 15], Operations: ['31+17=48', '60-45=15'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 10, 35, 55, 46 ]
15
[ "46-35=11", "55/11=5", "10+5=15" ]
Current State: 15:[10, 35, 55, 46], Operations: [] Exploring Operation: 46-35=11, Resulting Numbers: [10, 55, 11] Generated Node #2: [10, 55, 11] from Operation: 46-35=11 Current State: 15:[10, 55, 11], Operations: ['46-35=11'] Exploring Operation: 55/11=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 55/11=5 Current State: 15:[10, 5], Operations: ['46-35=11', '55/11=5'] Exploring Operation: 10+5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 23, 26, 31, 40 ]
74
[ "26-23=3", "31+40=71", "3+71=74" ]
Current State: 74:[23, 26, 31, 40], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [31, 40, 3] Generated Node #2: [31, 40, 3] from Operation: 26-23=3 Current State: 74:[31, 40, 3], Operations: ['26-23=3'] Exploring Operation: 31+40=71, Resulting Numbers: [3, 71] Generated Node #3: [3, 71] from Operation: 31+40=71 Current State: 74:[3, 71], Operations: ['26-23=3', '31+40=71'] Exploring Operation: 3+71=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 50, 33, 77, 11 ]
91
[ "50-11=39", "77*39=3003", "3003/33=91" ]
Current State: 91:[50, 33, 77, 11], Operations: [] Exploring Operation: 50-11=39, Resulting Numbers: [33, 77, 39] Generated Node #2: [33, 77, 39] from Operation: 50-11=39 Current State: 91:[33, 77, 39], Operations: ['50-11=39'] Exploring Operation: 77*39=3003, Resulting Numbers: [33, 3003] Generated Node #3: [33, 3003] from Operation: 77*39=3003 Current State: 91:[33, 3003], Operations: ['50-11=39', '77*39=3003'] Exploring Operation: 3003/33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 91, 21, 39, 60 ]
92
[ "21+39=60", "60/60=1", "91+1=92" ]
Current State: 92:[91, 21, 39, 60], Operations: [] Exploring Operation: 21+39=60, Resulting Numbers: [91, 60, 60] Generated Node #2: [91, 60, 60] from Operation: 21+39=60 Current State: 92:[91, 60, 60], Operations: ['21+39=60'] Exploring Operation: 60/60=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 60/60=1 Current State: 92:[91, 1], Operations: ['21+39=60', '60/60=1'] Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 34, 30, 86, 86 ]
82
[ "34+86=120", "120/30=4", "86-4=82" ]
Current State: 82:[34, 30, 86, 86], Operations: [] Exploring Operation: 34+86=120, Resulting Numbers: [30, 120] Generated Node #2: [30, 120] from Operation: 34+86=120 Current State: 82:[30, 120], Operations: ['34+86=120'] Exploring Operation: 120/30=4, Resulting Numbers: [4] 4,82 equal: Goal Reached Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 29, 9, 20, 52 ]
34
[ "29+9=38", "20+52=72", "72-38=34" ]
Current State: 34:[29, 9, 20, 52], Operations: [] Exploring Operation: 29+9=38, Resulting Numbers: [20, 52, 38] Generated Node #2: [20, 52, 38] from Operation: 29+9=38 Current State: 34:[20, 52, 38], Operations: ['29+9=38'] Exploring Operation: 20+52=72, Resulting Numbers: [38, 72] Generated Node #3: [38, 72] from Operation: 20+52=72 Current State: 34:[38, 72], Operations: ['29+9=38', '20+52=72'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 14, 32, 71, 61 ]
56
[ "14+32=46", "71-61=10", "46+10=56" ]
Current State: 56:[14, 32, 71, 61], Operations: [] Exploring Operation: 14+32=46, Resulting Numbers: [71, 61, 46] Generated Node #2: [71, 61, 46] from Operation: 14+32=46 Current State: 56:[71, 61, 46], Operations: ['14+32=46'] Exploring Operation: 71-61=10, Resulting Numbers: [46, 10] Generated Node #3: [46, 10] from Operation: 71-61=10 Current State: 56:[46, 10], Operations: ['14+32=46', '71-61=10'] Exploring Operation: 46+10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 24, 67, 7, 41 ]
65
[ "7+41=48", "48/24=2", "67-2=65" ]
Current State: 65:[24, 67, 7, 41], Operations: [] Exploring Operation: 7+41=48, Resulting Numbers: [24, 67, 48] Generated Node #2: [24, 67, 48] from Operation: 7+41=48 Current State: 65:[24, 67, 48], Operations: ['7+41=48'] Exploring Operation: 48/24=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 48/24=2 Current State: 65:[67, 2], Operations: ['7+41=48', '48/24=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 13, 48, 26, 15 ]
72
[ "13+48=61", "26-15=11", "61+11=72" ]
Current State: 72:[13, 48, 26, 15], Operations: [] Exploring Operation: 13+48=61, Resulting Numbers: [26, 15, 61] Generated Node #2: [26, 15, 61] from Operation: 13+48=61 Current State: 72:[26, 15, 61], Operations: ['13+48=61'] Exploring Operation: 26-15=11, Resulting Numbers: [61, 11] Generated Node #3: [61, 11] from Operation: 26-15=11 Current State: 72:[61, 11], Operations: ['13+48=61', '26-15=11'] Exploring Operation: 61+11=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 48, 96, 60, 40 ]
23
[ "60*40=2400", "2400/96=25", "48-25=23" ]
Current State: 23:[48, 96, 60, 40], Operations: [] Exploring Operation: 60*40=2400, Resulting Numbers: [48, 96, 2400] Generated Node #2: [48, 96, 2400] from Operation: 60*40=2400 Current State: 23:[48, 96, 2400], Operations: ['60*40=2400'] Exploring Operation: 2400/96=25, Resulting Numbers: [48, 25] Generated Node #3: [48, 25] from Operation: 2400/96=25 Current State: 23:[48, 25], Operations: ['60*40=2400', '2400/96=25'] Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 24, 72, 36 ]
94
[ "4*24=96", "72/36=2", "96-2=94" ]
Current State: 94:[4, 24, 72, 36], Operations: [] Exploring Operation: 4*24=96, Resulting Numbers: [72, 36, 96] Generated Node #2: [72, 36, 96] from Operation: 4*24=96 Current State: 94:[72, 36, 96], Operations: ['4*24=96'] Exploring Operation: 72/36=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 72/36=2 Current State: 94:[96, 2], Operations: ['4*24=96', '72/36=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 96, 11, 86 ]
65
[ "5*11=55", "96-86=10", "55+10=65" ]
Current State: 65:[5, 96, 11, 86], Operations: [] Exploring Operation: 5*11=55, Resulting Numbers: [96, 86, 55] Generated Node #2: [96, 86, 55] from Operation: 5*11=55 Current State: 65:[96, 86, 55], Operations: ['5*11=55'] Exploring Operation: 96-86=10, Resulting Numbers: [55, 10] Generated Node #3: [55, 10] from Operation: 96-86=10 Current State: 65:[55, 10], Operations: ['5*11=55', '96-86=10'] Exploring Operation: 55+10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 7, 1, 15, 2 ]
22
[ "7+1=8", "15*2=30", "30-8=22" ]
Current State: 22:[7, 1, 15, 2], Operations: [] Exploring Operation: 7+1=8, Resulting Numbers: [15, 2, 8] Generated Node #2: [15, 2, 8] from Operation: 7+1=8 Current State: 22:[15, 2, 8], Operations: ['7+1=8'] Exploring Operation: 15*2=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 15*2=30 Current State: 22:[8, 30], Operations: ['7+1=8', '15*2=30'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 66, 9, 17, 8 ]
95
[ "66-8=58", "9*17=153", "153-58=95" ]
Current State: 95:[66, 9, 17, 8], Operations: [] Exploring Operation: 66-8=58, Resulting Numbers: [9, 17, 58] Generated Node #2: [9, 17, 58] from Operation: 66-8=58 Current State: 95:[9, 17, 58], Operations: ['66-8=58'] Exploring Operation: 9*17=153, Resulting Numbers: [58, 153] Generated Node #3: [58, 153] from Operation: 9*17=153 Current State: 95:[58, 153], Operations: ['66-8=58', '9*17=153'] Exploring Operation: 153-58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 90, 48, 72, 30 ]
96
[ "90+48=138", "72-30=42", "138-42=96" ]
Current State: 96:[90, 48, 72, 30], Operations: [] Exploring Operation: 90+48=138, Resulting Numbers: [72, 30, 138] Generated Node #2: [72, 30, 138] from Operation: 90+48=138 Current State: 96:[72, 30, 138], Operations: ['90+48=138'] Exploring Operation: 72-30=42, Resulting Numbers: [138, 42] Generated Node #3: [138, 42] from Operation: 72-30=42 Current State: 96:[138, 42], Operations: ['90+48=138', '72-30=42'] Exploring Operation: 138-42=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 30, 16, 55, 41 ]
50
[ "30+16=46", "55+41=96", "96-46=50" ]
Current State: 50:[30, 16, 55, 41], Operations: [] Exploring Operation: 30+16=46, Resulting Numbers: [55, 41, 46] Generated Node #2: [55, 41, 46] from Operation: 30+16=46 Current State: 50:[55, 41, 46], Operations: ['30+16=46'] Exploring Operation: 55+41=96, Resulting Numbers: [46, 96] Generated Node #3: [46, 96] from Operation: 55+41=96 Current State: 50:[46, 96], Operations: ['30+16=46', '55+41=96'] Exploring Operation: 96-46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 89, 94, 58 ]
30
[ "89-83=6", "94-58=36", "36-6=30" ]
Current State: 30:[83, 89, 94, 58], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [94, 58, 6] Generated Node #2: [94, 58, 6] from Operation: 89-83=6 Current State: 30:[94, 58, 6], Operations: ['89-83=6'] Exploring Operation: 94-58=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 94-58=36 Current State: 30:[6, 36], Operations: ['89-83=6', '94-58=36'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 74, 11, 6, 29 ]
43
[ "74*6=444", "29+444=473", "473/11=43" ]
Current State: 43:[74, 11, 6, 29], Operations: [] Exploring Operation: 74*6=444, Resulting Numbers: [11, 29, 444] Generated Node #2: [11, 29, 444] from Operation: 74*6=444 Current State: 43:[11, 29, 444], Operations: ['74*6=444'] Exploring Operation: 29+444=473, Resulting Numbers: [11, 473] Generated Node #3: [11, 473] from Operation: 29+444=473 Current State: 43:[11, 473], Operations: ['74*6=444', '29+444=473'] Exploring Operation: 473/11=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 26, 98, 60 ]
92
[ "44*60=2640", "26*98=2548", "2640-2548=92" ]
Current State: 92:[44, 26, 98, 60], Operations: [] Exploring Operation: 44*60=2640, Resulting Numbers: [26, 98, 2640] Generated Node #2: [26, 98, 2640] from Operation: 44*60=2640 Current State: 92:[26, 98, 2640], Operations: ['44*60=2640'] Exploring Operation: 26*98=2548, Resulting Numbers: [2640, 2548] Generated Node #3: [2640, 2548] from Operation: 26*98=2548 Current State: 92:[2640, 2548], Operations: ['44*60=2640', '26*98=2548'] Exploring Operation: 2640-2548=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 87, 68, 96 ]
37
[ "87-22=65", "96-68=28", "65-28=37" ]
Current State: 37:[22, 87, 68, 96], Operations: [] Exploring Operation: 87-22=65, Resulting Numbers: [68, 96, 65] Generated Node #2: [68, 96, 65] from Operation: 87-22=65 Current State: 37:[68, 96, 65], Operations: ['87-22=65'] Exploring Operation: 96-68=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 96-68=28 Current State: 37:[65, 28], Operations: ['87-22=65', '96-68=28'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 46, 20, 38 ]
28
[ "13*46=598", "598-38=560", "560/20=28" ]
Current State: 28:[13, 46, 20, 38], Operations: [] Exploring Operation: 13*46=598, Resulting Numbers: [20, 38, 598] Generated Node #2: [20, 38, 598] from Operation: 13*46=598 Current State: 28:[20, 38, 598], Operations: ['13*46=598'] Exploring Operation: 598-38=560, Resulting Numbers: [20, 560] Generated Node #3: [20, 560] from Operation: 598-38=560 Current State: 28:[20, 560], Operations: ['13*46=598', '598-38=560'] Exploring Operation: 560/20=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 27, 60, 9, 41 ]
98
[ "27/9=3", "60+41=101", "101-3=98" ]
Current State: 98:[27, 60, 9, 41], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [60, 41, 3] Generated Node #2: [60, 41, 3] from Operation: 27/9=3 Current State: 98:[60, 41, 3], Operations: ['27/9=3'] Exploring Operation: 60+41=101, Resulting Numbers: [3, 101] Generated Node #3: [3, 101] from Operation: 60+41=101 Current State: 98:[3, 101], Operations: ['27/9=3', '60+41=101'] Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 34, 54, 88, 81 ]
80
[ "34+54=88", "88/88=1", "81-1=80" ]
Current State: 80:[34, 54, 88, 81], Operations: [] Exploring Operation: 34+54=88, Resulting Numbers: [88, 81, 88] Generated Node #2: [88, 81, 88] from Operation: 34+54=88 Current State: 80:[88, 81, 88], Operations: ['34+54=88'] Exploring Operation: 88/88=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 88/88=1 Current State: 80:[81, 1], Operations: ['34+54=88', '88/88=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 57, 56, 69, 67 ]
58
[ "69-67=2", "57*2=114", "114-56=58" ]
Current State: 58:[57, 56, 69, 67], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [57, 56, 2] Generated Node #2: [57, 56, 2] from Operation: 69-67=2 Current State: 58:[57, 56, 2], Operations: ['69-67=2'] Exploring Operation: 57*2=114, Resulting Numbers: [56, 114] Generated Node #3: [56, 114] from Operation: 57*2=114 Current State: 58:[56, 114], Operations: ['69-67=2', '57*2=114'] Exploring Operation: 114-56=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 68, 65, 69, 6 ]
72
[ "68-65=3", "69+6=75", "75-3=72" ]
Current State: 72:[68, 65, 69, 6], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [69, 6, 3] Generated Node #2: [69, 6, 3] from Operation: 68-65=3 Current State: 72:[69, 6, 3], Operations: ['68-65=3'] Exploring Operation: 69+6=75, Resulting Numbers: [3, 75] Generated Node #3: [3, 75] from Operation: 69+6=75 Current State: 72:[3, 75], Operations: ['68-65=3', '69+6=75'] Exploring Operation: 75-3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 12, 84, 35, 87 ]
50
[ "84-12=72", "35+87=122", "122-72=50" ]
Current State: 50:[12, 84, 35, 87], Operations: [] Exploring Operation: 84-12=72, Resulting Numbers: [35, 87, 72] Generated Node #2: [35, 87, 72] from Operation: 84-12=72 Current State: 50:[35, 87, 72], Operations: ['84-12=72'] Exploring Operation: 35+87=122, Resulting Numbers: [72, 122] Generated Node #3: [72, 122] from Operation: 35+87=122 Current State: 50:[72, 122], Operations: ['84-12=72', '35+87=122'] Exploring Operation: 122-72=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 14, 73, 32, 3 ]
61
[ "14+73=87", "87/3=29", "32+29=61" ]
Current State: 61:[14, 73, 32, 3], Operations: [] Exploring Operation: 14+73=87, Resulting Numbers: [32, 3, 87] Generated Node #2: [32, 3, 87] from Operation: 14+73=87 Current State: 61:[32, 3, 87], Operations: ['14+73=87'] Exploring Operation: 87/3=29, Resulting Numbers: [32, 29] Generated Node #3: [32, 29] from Operation: 87/3=29 Current State: 61:[32, 29], Operations: ['14+73=87', '87/3=29'] Exploring Operation: 32+29=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 9, 10, 7 ]
92
[ "19+10=29", "9*7=63", "29+63=92" ]
Current State: 92:[19, 9, 10, 7], Operations: [] Exploring Operation: 19+10=29, Resulting Numbers: [9, 7, 29] Generated Node #2: [9, 7, 29] from Operation: 19+10=29 Current State: 92:[9, 7, 29], Operations: ['19+10=29'] Exploring Operation: 9*7=63, Resulting Numbers: [29, 63] Generated Node #3: [29, 63] from Operation: 9*7=63 Current State: 92:[29, 63], Operations: ['19+10=29', '9*7=63'] Exploring Operation: 29+63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 18, 87, 66, 58 ]
62
[ "66*58=3828", "3828/87=44", "18+44=62" ]
Current State: 62:[18, 87, 66, 58], Operations: [] Exploring Operation: 66*58=3828, Resulting Numbers: [18, 87, 3828] Generated Node #2: [18, 87, 3828] from Operation: 66*58=3828 Current State: 62:[18, 87, 3828], Operations: ['66*58=3828'] Exploring Operation: 3828/87=44, Resulting Numbers: [18, 44] Generated Node #3: [18, 44] from Operation: 3828/87=44 Current State: 62:[18, 44], Operations: ['66*58=3828', '3828/87=44'] Exploring Operation: 18+44=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 30, 8, 5 ]
48
[ "1*30=30", "8*30=240", "240/5=48" ]
Current State: 48:[1, 30, 8, 5], Operations: [] Exploring Operation: 1*30=30, Resulting Numbers: [8, 5, 30] Generated Node #2: [8, 5, 30] from Operation: 1*30=30 Current State: 48:[8, 5, 30], Operations: ['1*30=30'] Exploring Operation: 8*30=240, Resulting Numbers: [5, 240] Generated Node #3: [5, 240] from Operation: 8*30=240 Current State: 48:[5, 240], Operations: ['1*30=30', '8*30=240'] Exploring Operation: 240/5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 53, 45, 90 ]
99
[ "91+53=144", "90-45=45", "144-45=99" ]
Current State: 99:[91, 53, 45, 90], Operations: [] Exploring Operation: 91+53=144, Resulting Numbers: [45, 90, 144] Generated Node #2: [45, 90, 144] from Operation: 91+53=144 Current State: 99:[45, 90, 144], Operations: ['91+53=144'] Exploring Operation: 90-45=45, Resulting Numbers: [144, 45] Generated Node #3: [144, 45] from Operation: 90-45=45 Current State: 99:[144, 45], Operations: ['91+53=144', '90-45=45'] Exploring Operation: 144-45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 82, 56, 34, 54 ]
96
[ "82-34=48", "56-54=2", "48*2=96" ]
Current State: 96:[82, 56, 34, 54], Operations: [] Exploring Operation: 82-34=48, Resulting Numbers: [56, 54, 48] Generated Node #2: [56, 54, 48] from Operation: 82-34=48 Current State: 96:[56, 54, 48], Operations: ['82-34=48'] Exploring Operation: 56-54=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 56-54=2 Current State: 96:[48, 2], Operations: ['82-34=48', '56-54=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 86, 54, 12, 61 ]
41
[ "86-54=32", "12+61=73", "73-32=41" ]
Current State: 41:[86, 54, 12, 61], Operations: [] Exploring Operation: 86-54=32, Resulting Numbers: [12, 61, 32] Generated Node #2: [12, 61, 32] from Operation: 86-54=32 Current State: 41:[12, 61, 32], Operations: ['86-54=32'] Exploring Operation: 12+61=73, Resulting Numbers: [32, 73] Generated Node #3: [32, 73] from Operation: 12+61=73 Current State: 41:[32, 73], Operations: ['86-54=32', '12+61=73'] Exploring Operation: 73-32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 52, 58, 52, 90 ]
37
[ "58-52=6", "90/6=15", "52-15=37" ]
Current State: 37:[52, 58, 52, 90], Operations: [] Exploring Operation: 58-52=6, Resulting Numbers: [90, 6] Generated Node #2: [90, 6] from Operation: 58-52=6 Current State: 37:[90, 6], Operations: ['58-52=6'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,37 equal: Goal Reached Exploring Operation: 52-15=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 37, 76, 86, 38 ]
51
[ "86-37=49", "76/38=2", "49+2=51" ]
Current State: 51:[37, 76, 86, 38], Operations: [] Exploring Operation: 86-37=49, Resulting Numbers: [76, 38, 49] Generated Node #2: [76, 38, 49] from Operation: 86-37=49 Current State: 51:[76, 38, 49], Operations: ['86-37=49'] Exploring Operation: 76/38=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 76/38=2 Current State: 51:[49, 2], Operations: ['86-37=49', '76/38=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 56, 40, 37, 40 ]
94
[ "56+37=93", "40/40=1", "93+1=94" ]
Current State: 94:[56, 40, 37, 40], Operations: [] Exploring Operation: 56+37=93, Resulting Numbers: [40, 40, 93] Generated Node #2: [40, 40, 93] from Operation: 56+37=93 Current State: 94:[40, 40, 93], Operations: ['56+37=93'] Exploring Operation: 40/40=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 40/40=1 Current State: 94:[93, 1], Operations: ['56+37=93', '40/40=1'] Exploring Operation: 93+1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 15, 45, 21, 24 ]
51
[ "45/15=3", "24*3=72", "72-21=51" ]
Current State: 51:[15, 45, 21, 24], Operations: [] Exploring Operation: 45/15=3, Resulting Numbers: [21, 24, 3] Generated Node #2: [21, 24, 3] from Operation: 45/15=3 Current State: 51:[21, 24, 3], Operations: ['45/15=3'] Exploring Operation: 24*3=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 24*3=72 Current State: 51:[21, 72], Operations: ['45/15=3', '24*3=72'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 77, 32, 69 ]
74
[ "77-50=27", "32+69=101", "101-27=74" ]
Current State: 74:[50, 77, 32, 69], Operations: [] Exploring Operation: 77-50=27, Resulting Numbers: [32, 69, 27] Generated Node #2: [32, 69, 27] from Operation: 77-50=27 Current State: 74:[32, 69, 27], Operations: ['77-50=27'] Exploring Operation: 32+69=101, Resulting Numbers: [27, 101] Generated Node #3: [27, 101] from Operation: 32+69=101 Current State: 74:[27, 101], Operations: ['77-50=27', '32+69=101'] Exploring Operation: 101-27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 7, 97, 10, 55 ]
60
[ "97-55=42", "42/7=6", "10*6=60" ]
Current State: 60:[7, 97, 10, 55], Operations: [] Exploring Operation: 97-55=42, Resulting Numbers: [7, 10, 42] Generated Node #2: [7, 10, 42] from Operation: 97-55=42 Current State: 60:[7, 10, 42], Operations: ['97-55=42'] Exploring Operation: 42/7=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 42/7=6 Current State: 60:[10, 6], Operations: ['97-55=42', '42/7=6'] Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 14, 19, 66, 57 ]
95
[ "66-14=52", "57-52=5", "19*5=95" ]
Current State: 95:[14, 19, 66, 57], Operations: [] Exploring Operation: 66-14=52, Resulting Numbers: [19, 57, 52] Generated Node #2: [19, 57, 52] from Operation: 66-14=52 Current State: 95:[19, 57, 52], Operations: ['66-14=52'] Exploring Operation: 57-52=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 57-52=5 Current State: 95:[19, 5], Operations: ['66-14=52', '57-52=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 56, 64, 69 ]
78
[ "56-1=55", "64+69=133", "133-55=78" ]
Current State: 78:[1, 56, 64, 69], Operations: [] Exploring Operation: 56-1=55, Resulting Numbers: [64, 69, 55] Generated Node #2: [64, 69, 55] from Operation: 56-1=55 Current State: 78:[64, 69, 55], Operations: ['56-1=55'] Exploring Operation: 64+69=133, Resulting Numbers: [55, 133] Generated Node #3: [55, 133] from Operation: 64+69=133 Current State: 78:[55, 133], Operations: ['56-1=55', '64+69=133'] Exploring Operation: 133-55=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 39, 2, 82, 56 ]
58
[ "39+2=41", "82/41=2", "56+2=58" ]
Current State: 58:[39, 2, 82, 56], Operations: [] Exploring Operation: 39+2=41, Resulting Numbers: [82, 56, 41] Generated Node #2: [82, 56, 41] from Operation: 39+2=41 Current State: 58:[82, 56, 41], Operations: ['39+2=41'] Exploring Operation: 82/41=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 82/41=2 Current State: 58:[56, 2], Operations: ['39+2=41', '82/41=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 9, 42, 97 ]
11
[ "9-4=5", "97-42=55", "55/5=11" ]
Current State: 11:[4, 9, 42, 97], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [42, 97, 5] Generated Node #2: [42, 97, 5] from Operation: 9-4=5 Current State: 11:[42, 97, 5], Operations: ['9-4=5'] Exploring Operation: 97-42=55, Resulting Numbers: [5, 55] Generated Node #3: [5, 55] from Operation: 97-42=55 Current State: 11:[5, 55], Operations: ['9-4=5', '97-42=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 1, 17, 41 ]
45
[ "5*17=85", "41-1=40", "85-40=45" ]
Current State: 45:[5, 1, 17, 41], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [1, 41, 85] Generated Node #2: [1, 41, 85] from Operation: 5*17=85 Current State: 45:[1, 41, 85], Operations: ['5*17=85'] Exploring Operation: 41-1=40, Resulting Numbers: [85, 40] Generated Node #3: [85, 40] from Operation: 41-1=40 Current State: 45:[85, 40], Operations: ['5*17=85', '41-1=40'] Exploring Operation: 85-40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 14, 34, 60, 10 ]
76
[ "14-10=4", "34*4=136", "136-60=76" ]
Current State: 76:[14, 34, 60, 10], Operations: [] Exploring Operation: 14-10=4, Resulting Numbers: [34, 60, 4] Generated Node #2: [34, 60, 4] from Operation: 14-10=4 Current State: 76:[34, 60, 4], Operations: ['14-10=4'] Exploring Operation: 34*4=136, Resulting Numbers: [60, 136] Generated Node #3: [60, 136] from Operation: 34*4=136 Current State: 76:[60, 136], Operations: ['14-10=4', '34*4=136'] Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 47, 40, 47, 84 ]
84
[ "47-47=0", "40*0=0", "84+0=84" ]
Current State: 84:[47, 40, 47, 84], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [40, 84, 0] Generated Node #2: [40, 84, 0] from Operation: 47-47=0 Current State: 84:[40, 84, 0], Operations: ['47-47=0'] Exploring Operation: 40*0=0, Resulting Numbers: [84, 0] Generated Node #3: [84, 0] from Operation: 40*0=0 Current State: 84:[84, 0], Operations: ['47-47=0', '40*0=0'] Exploring Operation: 84+0=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 55, 94, 51 ]
88
[ "2+55=57", "94+51=145", "145-57=88" ]
Current State: 88:[2, 55, 94, 51], Operations: [] Exploring Operation: 2+55=57, Resulting Numbers: [94, 51, 57] Generated Node #2: [94, 51, 57] from Operation: 2+55=57 Current State: 88:[94, 51, 57], Operations: ['2+55=57'] Exploring Operation: 94+51=145, Resulting Numbers: [57, 145] Generated Node #3: [57, 145] from Operation: 94+51=145 Current State: 88:[57, 145], Operations: ['2+55=57', '94+51=145'] Exploring Operation: 145-57=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 35, 89, 38 ]
44
[ "35*38=1330", "1330/10=133", "133-89=44" ]
Current State: 44:[10, 35, 89, 38], Operations: [] Exploring Operation: 35*38=1330, Resulting Numbers: [10, 89, 1330] Generated Node #2: [10, 89, 1330] from Operation: 35*38=1330 Current State: 44:[10, 89, 1330], Operations: ['35*38=1330'] Exploring Operation: 1330/10=133, Resulting Numbers: [89, 133] Generated Node #3: [89, 133] from Operation: 1330/10=133 Current State: 44:[89, 133], Operations: ['35*38=1330', '1330/10=133'] Exploring Operation: 133-89=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 65, 50, 27, 37 ]
50
[ "65-27=38", "38-37=1", "50*1=50" ]
Current State: 50:[65, 50, 27, 37], Operations: [] Exploring Operation: 65-27=38, Resulting Numbers: [50, 37, 38] Generated Node #2: [50, 37, 38] from Operation: 65-27=38 Current State: 50:[50, 37, 38], Operations: ['65-27=38'] Exploring Operation: 38-37=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 38-37=1 Current State: 50:[50, 1], Operations: ['65-27=38', '38-37=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 97, 5, 12, 1 ]
90
[ "97+5=102", "12*1=12", "102-12=90" ]
Current State: 90:[97, 5, 12, 1], Operations: [] Exploring Operation: 97+5=102, Resulting Numbers: [12, 1, 102] Generated Node #2: [12, 1, 102] from Operation: 97+5=102 Current State: 90:[12, 1, 102], Operations: ['97+5=102'] Exploring Operation: 12*1=12, Resulting Numbers: [102, 12] Generated Node #3: [102, 12] from Operation: 12*1=12 Current State: 90:[102, 12], Operations: ['97+5=102', '12*1=12'] Exploring Operation: 102-12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 21, 11, 24, 32 ]
88
[ "21+11=32", "24+32=56", "32+56=88" ]
Current State: 88:[21, 11, 24, 32], Operations: [] Exploring Operation: 21+11=32, Resulting Numbers: [24, 32, 32] Generated Node #2: [24, 32, 32] from Operation: 21+11=32 Current State: 88:[24, 32, 32], Operations: ['21+11=32'] Exploring Operation: 24+32=56, Resulting Numbers: [56] 56,88 equal: Goal Reached Exploring Operation: 32+56=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 36, 2, 98, 15 ]
70
[ "36-15=21", "98/2=49", "21+49=70" ]
Current State: 70:[36, 2, 98, 15], Operations: [] Exploring Operation: 36-15=21, Resulting Numbers: [2, 98, 21] Generated Node #2: [2, 98, 21] from Operation: 36-15=21 Current State: 70:[2, 98, 21], Operations: ['36-15=21'] Exploring Operation: 98/2=49, Resulting Numbers: [21, 49] Generated Node #3: [21, 49] from Operation: 98/2=49 Current State: 70:[21, 49], Operations: ['36-15=21', '98/2=49'] Exploring Operation: 21+49=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 92, 36, 79 ]
63
[ "86+92=178", "36+79=115", "178-115=63" ]
Current State: 63:[86, 92, 36, 79], Operations: [] Exploring Operation: 86+92=178, Resulting Numbers: [36, 79, 178] Generated Node #2: [36, 79, 178] from Operation: 86+92=178 Current State: 63:[36, 79, 178], Operations: ['86+92=178'] Exploring Operation: 36+79=115, Resulting Numbers: [178, 115] Generated Node #3: [178, 115] from Operation: 36+79=115 Current State: 63:[178, 115], Operations: ['86+92=178', '36+79=115'] Exploring Operation: 178-115=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 12, 3, 29, 26 ]
51
[ "12/3=4", "29+26=55", "55-4=51" ]
Current State: 51:[12, 3, 29, 26], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [29, 26, 4] Generated Node #2: [29, 26, 4] from Operation: 12/3=4 Current State: 51:[29, 26, 4], Operations: ['12/3=4'] Exploring Operation: 29+26=55, Resulting Numbers: [4, 55] Generated Node #3: [4, 55] from Operation: 29+26=55 Current State: 51:[4, 55], Operations: ['12/3=4', '29+26=55'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 43, 50, 84, 4 ]
36
[ "43+50=93", "93-84=9", "4*9=36" ]
Current State: 36:[43, 50, 84, 4], Operations: [] Exploring Operation: 43+50=93, Resulting Numbers: [84, 4, 93] Generated Node #2: [84, 4, 93] from Operation: 43+50=93 Current State: 36:[84, 4, 93], Operations: ['43+50=93'] Exploring Operation: 93-84=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 93-84=9 Current State: 36:[4, 9], Operations: ['43+50=93', '93-84=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 96, 46, 31 ]
22
[ "96-59=37", "46-31=15", "37-15=22" ]
Current State: 22:[59, 96, 46, 31], Operations: [] Exploring Operation: 96-59=37, Resulting Numbers: [46, 31, 37] Generated Node #2: [46, 31, 37] from Operation: 96-59=37 Current State: 22:[46, 31, 37], Operations: ['96-59=37'] Exploring Operation: 46-31=15, Resulting Numbers: [37, 15] Generated Node #3: [37, 15] from Operation: 46-31=15 Current State: 22:[37, 15], Operations: ['96-59=37', '46-31=15'] Exploring Operation: 37-15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 72, 65, 26 ]
77
[ "86-72=14", "65+26=91", "91-14=77" ]
Current State: 77:[86, 72, 65, 26], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [65, 26, 14] Generated Node #2: [65, 26, 14] from Operation: 86-72=14 Current State: 77:[65, 26, 14], Operations: ['86-72=14'] Exploring Operation: 65+26=91, Resulting Numbers: [14, 91] Generated Node #3: [14, 91] from Operation: 65+26=91 Current State: 77:[14, 91], Operations: ['86-72=14', '65+26=91'] Exploring Operation: 91-14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 71, 2, 76 ]
26
[ "42/2=21", "76-71=5", "21+5=26" ]
Current State: 26:[42, 71, 2, 76], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [71, 76, 21] Generated Node #2: [71, 76, 21] from Operation: 42/2=21 Current State: 26:[71, 76, 21], Operations: ['42/2=21'] Exploring Operation: 76-71=5, Resulting Numbers: [21, 5] Generated Node #3: [21, 5] from Operation: 76-71=5 Current State: 26:[21, 5], Operations: ['42/2=21', '76-71=5'] Exploring Operation: 21+5=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 33, 80, 24 ]
17
[ "6+33=39", "80-24=56", "56-39=17" ]
Current State: 17:[6, 33, 80, 24], Operations: [] Exploring Operation: 6+33=39, Resulting Numbers: [80, 24, 39] Generated Node #2: [80, 24, 39] from Operation: 6+33=39 Current State: 17:[80, 24, 39], Operations: ['6+33=39'] Exploring Operation: 80-24=56, Resulting Numbers: [39, 56] Generated Node #3: [39, 56] from Operation: 80-24=56 Current State: 17:[39, 56], Operations: ['6+33=39', '80-24=56'] Exploring Operation: 56-39=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 72, 18, 36, 24 ]
27
[ "72-36=36", "18*36=648", "648/24=27" ]
Current State: 27:[72, 18, 36, 24], Operations: [] Exploring Operation: 72-36=36, Resulting Numbers: [18, 24, 36] Generated Node #2: [18, 24, 36] from Operation: 72-36=36 Current State: 27:[18, 24, 36], Operations: ['72-36=36'] Exploring Operation: 18*36=648, Resulting Numbers: [24, 648] Generated Node #3: [24, 648] from Operation: 18*36=648 Current State: 27:[24, 648], Operations: ['72-36=36', '18*36=648'] Exploring Operation: 648/24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 86, 78, 3, 35 ]
95
[ "86+35=121", "78/3=26", "121-26=95" ]
Current State: 95:[86, 78, 3, 35], Operations: [] Exploring Operation: 86+35=121, Resulting Numbers: [78, 3, 121] Generated Node #2: [78, 3, 121] from Operation: 86+35=121 Current State: 95:[78, 3, 121], Operations: ['86+35=121'] Exploring Operation: 78/3=26, Resulting Numbers: [121, 26] Generated Node #3: [121, 26] from Operation: 78/3=26 Current State: 95:[121, 26], Operations: ['86+35=121', '78/3=26'] Exploring Operation: 121-26=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 24, 8, 91, 33 ]
61
[ "24/8=3", "91-33=58", "3+58=61" ]
Current State: 61:[24, 8, 91, 33], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [91, 33, 3] Generated Node #2: [91, 33, 3] from Operation: 24/8=3 Current State: 61:[91, 33, 3], Operations: ['24/8=3'] Exploring Operation: 91-33=58, Resulting Numbers: [3, 58] Generated Node #3: [3, 58] from Operation: 91-33=58 Current State: 61:[3, 58], Operations: ['24/8=3', '91-33=58'] Exploring Operation: 3+58=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 52, 57, 80 ]
94
[ "57-52=5", "80/5=16", "78+16=94" ]
Current State: 94:[78, 52, 57, 80], Operations: [] Exploring Operation: 57-52=5, Resulting Numbers: [78, 80, 5] Generated Node #2: [78, 80, 5] from Operation: 57-52=5 Current State: 94:[78, 80, 5], Operations: ['57-52=5'] Exploring Operation: 80/5=16, Resulting Numbers: [78, 16] Generated Node #3: [78, 16] from Operation: 80/5=16 Current State: 94:[78, 16], Operations: ['57-52=5', '80/5=16'] Exploring Operation: 78+16=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 95, 20, 95, 56 ]
35
[ "95/95=1", "56-20=36", "36-1=35" ]
Current State: 35:[95, 20, 95, 56], Operations: [] Exploring Operation: 95/95=1, Resulting Numbers: [20, 56, 1] Generated Node #2: [20, 56, 1] from Operation: 95/95=1 Current State: 35:[20, 56, 1], Operations: ['95/95=1'] Exploring Operation: 56-20=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 56-20=36 Current State: 35:[1, 36], Operations: ['95/95=1', '56-20=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 21, 7, 73, 52 ]
49
[ "21+7=28", "73-52=21", "28+21=49" ]
Current State: 49:[21, 7, 73, 52], Operations: [] Exploring Operation: 21+7=28, Resulting Numbers: [73, 52, 28] Generated Node #2: [73, 52, 28] from Operation: 21+7=28 Current State: 49:[73, 52, 28], Operations: ['21+7=28'] Exploring Operation: 73-52=21, Resulting Numbers: [28, 21] Generated Node #3: [28, 21] from Operation: 73-52=21 Current State: 49:[28, 21], Operations: ['21+7=28', '73-52=21'] Exploring Operation: 28+21=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 2, 32, 67 ]
46
[ "67-5=62", "32/2=16", "62-16=46" ]
Current State: 46:[5, 2, 32, 67], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [2, 32, 62] Generated Node #2: [2, 32, 62] from Operation: 67-5=62 Current State: 46:[2, 32, 62], Operations: ['67-5=62'] Exploring Operation: 32/2=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 32/2=16 Current State: 46:[62, 16], Operations: ['67-5=62', '32/2=16'] Exploring Operation: 62-16=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 27, 10, 60 ]
13
[ "27-20=7", "60/10=6", "7+6=13" ]
Current State: 13:[20, 27, 10, 60], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [10, 60, 7] Generated Node #2: [10, 60, 7] from Operation: 27-20=7 Current State: 13:[10, 60, 7], Operations: ['27-20=7'] Exploring Operation: 60/10=6, Resulting Numbers: [7, 6] Generated Node #3: [7, 6] from Operation: 60/10=6 Current State: 13:[7, 6], Operations: ['27-20=7', '60/10=6'] Exploring Operation: 7+6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 37, 37, 27 ]
36
[ "37-37=0", "27*0=0", "36+0=36" ]
Current State: 36:[36, 37, 37, 27], Operations: [] Exploring Operation: 37-37=0, Resulting Numbers: [36, 27, 0] Generated Node #2: [36, 27, 0] from Operation: 37-37=0 Current State: 36:[36, 27, 0], Operations: ['37-37=0'] Exploring Operation: 27*0=0, Resulting Numbers: [36, 0] Generated Node #3: [36, 0] from Operation: 27*0=0 Current State: 36:[36, 0], Operations: ['37-37=0', '27*0=0'] Exploring Operation: 36+0=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 33, 21, 59, 65 ]
70
[ "33+21=54", "59+65=124", "124-54=70" ]
Current State: 70:[33, 21, 59, 65], Operations: [] Exploring Operation: 33+21=54, Resulting Numbers: [59, 65, 54] Generated Node #2: [59, 65, 54] from Operation: 33+21=54 Current State: 70:[59, 65, 54], Operations: ['33+21=54'] Exploring Operation: 59+65=124, Resulting Numbers: [54, 124] Generated Node #3: [54, 124] from Operation: 59+65=124 Current State: 70:[54, 124], Operations: ['33+21=54', '59+65=124'] Exploring Operation: 124-54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 80, 53, 93 ]
73
[ "57-53=4", "80/4=20", "93-20=73" ]
Current State: 73:[57, 80, 53, 93], Operations: [] Exploring Operation: 57-53=4, Resulting Numbers: [80, 93, 4] Generated Node #2: [80, 93, 4] from Operation: 57-53=4 Current State: 73:[80, 93, 4], Operations: ['57-53=4'] Exploring Operation: 80/4=20, Resulting Numbers: [93, 20] Generated Node #3: [93, 20] from Operation: 80/4=20 Current State: 73:[93, 20], Operations: ['57-53=4', '80/4=20'] Exploring Operation: 93-20=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 35, 4, 82, 39 ]
81
[ "35+4=39", "39/39=1", "82-1=81" ]
Current State: 81:[35, 4, 82, 39], Operations: [] Exploring Operation: 35+4=39, Resulting Numbers: [82, 39, 39] Generated Node #2: [82, 39, 39] from Operation: 35+4=39 Current State: 81:[82, 39, 39], Operations: ['35+4=39'] Exploring Operation: 39/39=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 39/39=1 Current State: 81:[82, 1], Operations: ['35+4=39', '39/39=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 63, 72, 43, 14 ]
38
[ "72-63=9", "43-14=29", "9+29=38" ]
Current State: 38:[63, 72, 43, 14], Operations: [] Exploring Operation: 72-63=9, Resulting Numbers: [43, 14, 9] Generated Node #2: [43, 14, 9] from Operation: 72-63=9 Current State: 38:[43, 14, 9], Operations: ['72-63=9'] Exploring Operation: 43-14=29, Resulting Numbers: [9, 29] Generated Node #3: [9, 29] from Operation: 43-14=29 Current State: 38:[9, 29], Operations: ['72-63=9', '43-14=29'] Exploring Operation: 9+29=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 4, 44, 98, 92 ]
17
[ "44/4=11", "98-92=6", "11+6=17" ]
Current State: 17:[4, 44, 98, 92], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [98, 92, 11] Generated Node #2: [98, 92, 11] from Operation: 44/4=11 Current State: 17:[98, 92, 11], Operations: ['44/4=11'] Exploring Operation: 98-92=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 98-92=6 Current State: 17:[11, 6], Operations: ['44/4=11', '98-92=6'] Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 22, 42, 11, 9 ]
57
[ "22-11=11", "9*11=99", "99-42=57" ]
Current State: 57:[22, 42, 11, 9], Operations: [] Exploring Operation: 22-11=11, Resulting Numbers: [42, 9, 11] Generated Node #2: [42, 9, 11] from Operation: 22-11=11 Current State: 57:[42, 9, 11], Operations: ['22-11=11'] Exploring Operation: 9*11=99, Resulting Numbers: [42, 99] Generated Node #3: [42, 99] from Operation: 9*11=99 Current State: 57:[42, 99], Operations: ['22-11=11', '9*11=99'] Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 15, 52, 26, 43 ]
84
[ "15+52=67", "43-26=17", "67+17=84" ]
Current State: 84:[15, 52, 26, 43], Operations: [] Exploring Operation: 15+52=67, Resulting Numbers: [26, 43, 67] Generated Node #2: [26, 43, 67] from Operation: 15+52=67 Current State: 84:[26, 43, 67], Operations: ['15+52=67'] Exploring Operation: 43-26=17, Resulting Numbers: [67, 17] Generated Node #3: [67, 17] from Operation: 43-26=17 Current State: 84:[67, 17], Operations: ['15+52=67', '43-26=17'] Exploring Operation: 67+17=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 13, 16, 49, 77 ]
25
[ "16-13=3", "77-49=28", "28-3=25" ]
Current State: 25:[13, 16, 49, 77], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [49, 77, 3] Generated Node #2: [49, 77, 3] from Operation: 16-13=3 Current State: 25:[49, 77, 3], Operations: ['16-13=3'] Exploring Operation: 77-49=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 77-49=28 Current State: 25:[3, 28], Operations: ['16-13=3', '77-49=28'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 9, 96, 96 ]
24
[ "24*9=216", "96+96=192", "216-192=24" ]
Current State: 24:[24, 9, 96, 96], Operations: [] Exploring Operation: 24*9=216, Resulting Numbers: [96, 96, 216] Generated Node #2: [96, 96, 216] from Operation: 24*9=216 Current State: 24:[96, 96, 216], Operations: ['24*9=216'] Exploring Operation: 96+96=192, Resulting Numbers: [216, 192] Generated Node #3: [216, 192] from Operation: 96+96=192 Current State: 24:[216, 192], Operations: ['24*9=216', '96+96=192'] Exploring Operation: 216-192=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 25, 57, 52, 61 ]
31
[ "25+57=82", "52+61=113", "113-82=31" ]
Current State: 31:[25, 57, 52, 61], Operations: [] Exploring Operation: 25+57=82, Resulting Numbers: [52, 61, 82] Generated Node #2: [52, 61, 82] from Operation: 25+57=82 Current State: 31:[52, 61, 82], Operations: ['25+57=82'] Exploring Operation: 52+61=113, Resulting Numbers: [82, 113] Generated Node #3: [82, 113] from Operation: 52+61=113 Current State: 31:[82, 113], Operations: ['25+57=82', '52+61=113'] Exploring Operation: 113-82=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 30, 32, 25, 10 ]
47
[ "30+32=62", "25-10=15", "62-15=47" ]
Current State: 47:[30, 32, 25, 10], Operations: [] Exploring Operation: 30+32=62, Resulting Numbers: [25, 10, 62] Generated Node #2: [25, 10, 62] from Operation: 30+32=62 Current State: 47:[25, 10, 62], Operations: ['30+32=62'] Exploring Operation: 25-10=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 25-10=15 Current State: 47:[62, 15], Operations: ['30+32=62', '25-10=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 69, 7, 49 ]
83
[ "49+49=98", "98/7=14", "69+14=83" ]
Current State: 83:[49, 69, 7, 49], Operations: [] Exploring Operation: 49+49=98, Resulting Numbers: [69, 7, 98] Generated Node #2: [69, 7, 98] from Operation: 49+49=98 Current State: 83:[69, 7, 98], Operations: ['49+49=98'] Exploring Operation: 98/7=14, Resulting Numbers: [69, 14] Generated Node #3: [69, 14] from Operation: 98/7=14 Current State: 83:[69, 14], Operations: ['49+49=98', '98/7=14'] Exploring Operation: 69+14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 17, 86, 51, 9 ]
16
[ "17*9=153", "86+51=137", "153-137=16" ]
Current State: 16:[17, 86, 51, 9], Operations: [] Exploring Operation: 17*9=153, Resulting Numbers: [86, 51, 153] Generated Node #2: [86, 51, 153] from Operation: 17*9=153 Current State: 16:[86, 51, 153], Operations: ['17*9=153'] Exploring Operation: 86+51=137, Resulting Numbers: [153, 137] Generated Node #3: [153, 137] from Operation: 86+51=137 Current State: 16:[153, 137], Operations: ['17*9=153', '86+51=137'] Exploring Operation: 153-137=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 60, 66, 66, 3 ]
28
[ "66-60=6", "66/3=22", "6+22=28" ]
Current State: 28:[60, 66, 66, 3], Operations: [] Exploring Operation: 66-60=6, Resulting Numbers: [3, 6] Generated Node #2: [3, 6] from Operation: 66-60=6 Current State: 28:[3, 6], Operations: ['66-60=6'] Exploring Operation: 66/3=22, Resulting Numbers: [6, 22] Generated Node #3: [6, 22] from Operation: 66/3=22 Current State: 28:[6, 22], Operations: ['66-60=6', '66/3=22'] Exploring Operation: 6+22=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4