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
[ 92, 46, 16, 20 ]
72
[ "92/46=2", "16+20=36", "2*36=72" ]
Current State: 72:[92, 46, 16, 20], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [16, 20, 2] Generated Node #2: [16, 20, 2] from Operation: 92/46=2 Current State: 72:[16, 20, 2], Operations: ['92/46=2'] Exploring Operation: 16+20=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 16+20=36 Current State: 72:[2, 36], Operations: ['92/46=2', '16+20=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 8, 4, 92, 74 ]
63
[ "92-4=88", "88/8=11", "74-11=63" ]
Current State: 63:[8, 4, 92, 74], Operations: [] Exploring Operation: 92-4=88, Resulting Numbers: [8, 74, 88] Generated Node #2: [8, 74, 88] from Operation: 92-4=88 Current State: 63:[8, 74, 88], Operations: ['92-4=88'] Exploring Operation: 88/8=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 88/8=11 Current State: 63:[74, 11], Operations: ['92-4=88', '88/8=11'] Exploring Operation: 74-11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 73, 81, 13, 16 ]
88
[ "81-73=8", "13*8=104", "104-16=88" ]
Current State: 88:[73, 81, 13, 16], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [13, 16, 8] Generated Node #2: [13, 16, 8] from Operation: 81-73=8 Current State: 88:[13, 16, 8], Operations: ['81-73=8'] Exploring Operation: 13*8=104, Resulting Numbers: [16, 104] Generated Node #3: [16, 104] from Operation: 13*8=104 Current State: 88:[16, 104], Operations: ['81-73=8', '13*8=104'] Exploring Operation: 104-16=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 58, 64, 76, 37 ]
45
[ "64-58=6", "76-37=39", "6+39=45" ]
Current State: 45:[58, 64, 76, 37], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [76, 37, 6] Generated Node #2: [76, 37, 6] from Operation: 64-58=6 Current State: 45:[76, 37, 6], Operations: ['64-58=6'] Exploring Operation: 76-37=39, Resulting Numbers: [6, 39] Generated Node #3: [6, 39] from Operation: 76-37=39 Current State: 45:[6, 39], Operations: ['64-58=6', '76-37=39'] Exploring Operation: 6+39=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 15, 17, 53 ]
11
[ "96-15=81", "17+53=70", "81-70=11" ]
Current State: 11:[96, 15, 17, 53], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [17, 53, 81] Generated Node #2: [17, 53, 81] from Operation: 96-15=81 Current State: 11:[17, 53, 81], Operations: ['96-15=81'] Exploring Operation: 17+53=70, Resulting Numbers: [81, 70] Generated Node #3: [81, 70] from Operation: 17+53=70 Current State: 11:[81, 70], Operations: ['96-15=81', '17+53=70'] Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 10, 4, 20 ]
30
[ "13+4=17", "20-17=3", "10*3=30" ]
Current State: 30:[13, 10, 4, 20], Operations: [] Exploring Operation: 13+4=17, Resulting Numbers: [10, 20, 17] Generated Node #2: [10, 20, 17] from Operation: 13+4=17 Current State: 30:[10, 20, 17], Operations: ['13+4=17'] Exploring Operation: 20-17=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 20-17=3 Current State: 30:[10, 3], Operations: ['13+4=17', '20-17=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 4, 64, 24 ]
41
[ "1+24=25", "64/4=16", "25+16=41" ]
Current State: 41:[1, 4, 64, 24], Operations: [] Exploring Operation: 1+24=25, Resulting Numbers: [4, 64, 25] Generated Node #2: [4, 64, 25] from Operation: 1+24=25 Current State: 41:[4, 64, 25], Operations: ['1+24=25'] Exploring Operation: 64/4=16, Resulting Numbers: [25, 16] Generated Node #3: [25, 16] from Operation: 64/4=16 Current State: 41:[25, 16], Operations: ['1+24=25', '64/4=16'] Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 91, 71, 14, 19 ]
100
[ "91-71=20", "19-14=5", "20*5=100" ]
Current State: 100:[91, 71, 14, 19], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [14, 19, 20] Generated Node #2: [14, 19, 20] from Operation: 91-71=20 Current State: 100:[14, 19, 20], Operations: ['91-71=20'] Exploring Operation: 19-14=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 19-14=5 Current State: 100:[20, 5], Operations: ['91-71=20', '19-14=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 35, 98, 4, 56 ]
81
[ "35+98=133", "56-4=52", "133-52=81" ]
Current State: 81:[35, 98, 4, 56], Operations: [] Exploring Operation: 35+98=133, Resulting Numbers: [4, 56, 133] Generated Node #2: [4, 56, 133] from Operation: 35+98=133 Current State: 81:[4, 56, 133], Operations: ['35+98=133'] Exploring Operation: 56-4=52, Resulting Numbers: [133, 52] Generated Node #3: [133, 52] from Operation: 56-4=52 Current State: 81:[133, 52], Operations: ['35+98=133', '56-4=52'] Exploring Operation: 133-52=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 83, 64, 32, 7 ]
97
[ "64/32=2", "7*2=14", "83+14=97" ]
Current State: 97:[83, 64, 32, 7], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [83, 7, 2] Generated Node #2: [83, 7, 2] from Operation: 64/32=2 Current State: 97:[83, 7, 2], Operations: ['64/32=2'] Exploring Operation: 7*2=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 7*2=14 Current State: 97:[83, 14], Operations: ['64/32=2', '7*2=14'] Exploring Operation: 83+14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 18, 30, 7, 3 ]
43
[ "30-18=12", "3*12=36", "7+36=43" ]
Current State: 43:[18, 30, 7, 3], Operations: [] Exploring Operation: 30-18=12, Resulting Numbers: [7, 3, 12] Generated Node #2: [7, 3, 12] from Operation: 30-18=12 Current State: 43:[7, 3, 12], Operations: ['30-18=12'] Exploring Operation: 3*12=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 3*12=36 Current State: 43:[7, 36], Operations: ['30-18=12', '3*12=36'] Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 83, 56, 62, 11 ]
88
[ "83+56=139", "62-11=51", "139-51=88" ]
Current State: 88:[83, 56, 62, 11], Operations: [] Exploring Operation: 83+56=139, Resulting Numbers: [62, 11, 139] Generated Node #2: [62, 11, 139] from Operation: 83+56=139 Current State: 88:[62, 11, 139], Operations: ['83+56=139'] Exploring Operation: 62-11=51, Resulting Numbers: [139, 51] Generated Node #3: [139, 51] from Operation: 62-11=51 Current State: 88:[139, 51], Operations: ['83+56=139', '62-11=51'] Exploring Operation: 139-51=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 54, 57, 79, 12 ]
83
[ "57-54=3", "12/3=4", "79+4=83" ]
Current State: 83:[54, 57, 79, 12], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [79, 12, 3] Generated Node #2: [79, 12, 3] from Operation: 57-54=3 Current State: 83:[79, 12, 3], Operations: ['57-54=3'] Exploring Operation: 12/3=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 12/3=4 Current State: 83:[79, 4], Operations: ['57-54=3', '12/3=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 61, 65, 61, 56 ]
56
[ "61-61=0", "65*0=0", "56+0=56" ]
Current State: 56:[61, 65, 61, 56], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [65, 56, 0] Generated Node #2: [65, 56, 0] from Operation: 61-61=0 Current State: 56:[65, 56, 0], Operations: ['61-61=0'] Exploring Operation: 65*0=0, Resulting Numbers: [56, 0] Generated Node #3: [56, 0] from Operation: 65*0=0 Current State: 56:[56, 0], Operations: ['61-61=0', '65*0=0'] Exploring Operation: 56+0=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 86, 55, 3 ]
33
[ "68+86=154", "154-55=99", "99/3=33" ]
Current State: 33:[68, 86, 55, 3], Operations: [] Exploring Operation: 68+86=154, Resulting Numbers: [55, 3, 154] Generated Node #2: [55, 3, 154] from Operation: 68+86=154 Current State: 33:[55, 3, 154], Operations: ['68+86=154'] Exploring Operation: 154-55=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 154-55=99 Current State: 33:[3, 99], Operations: ['68+86=154', '154-55=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 69, 64, 3 ]
80
[ "13+3=16", "69-64=5", "16*5=80" ]
Current State: 80:[13, 69, 64, 3], Operations: [] Exploring Operation: 13+3=16, Resulting Numbers: [69, 64, 16] Generated Node #2: [69, 64, 16] from Operation: 13+3=16 Current State: 80:[69, 64, 16], Operations: ['13+3=16'] Exploring Operation: 69-64=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 69-64=5 Current State: 80:[16, 5], Operations: ['13+3=16', '69-64=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 93, 72, 23, 58 ]
84
[ "93+72=165", "23+58=81", "165-81=84" ]
Current State: 84:[93, 72, 23, 58], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [23, 58, 165] Generated Node #2: [23, 58, 165] from Operation: 93+72=165 Current State: 84:[23, 58, 165], Operations: ['93+72=165'] Exploring Operation: 23+58=81, Resulting Numbers: [165, 81] Generated Node #3: [165, 81] from Operation: 23+58=81 Current State: 84:[165, 81], Operations: ['93+72=165', '23+58=81'] Exploring Operation: 165-81=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 90, 4, 71 ]
41
[ "90-64=26", "71-4=67", "67-26=41" ]
Current State: 41:[64, 90, 4, 71], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [4, 71, 26] Generated Node #2: [4, 71, 26] from Operation: 90-64=26 Current State: 41:[4, 71, 26], Operations: ['90-64=26'] Exploring Operation: 71-4=67, Resulting Numbers: [26, 67] Generated Node #3: [26, 67] from Operation: 71-4=67 Current State: 41:[26, 67], Operations: ['90-64=26', '71-4=67'] Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 85, 2, 28, 68 ]
13
[ "85-2=83", "28+68=96", "96-83=13" ]
Current State: 13:[85, 2, 28, 68], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [28, 68, 83] Generated Node #2: [28, 68, 83] from Operation: 85-2=83 Current State: 13:[28, 68, 83], Operations: ['85-2=83'] Exploring Operation: 28+68=96, Resulting Numbers: [83, 96] Generated Node #3: [83, 96] from Operation: 28+68=96 Current State: 13:[83, 96], Operations: ['85-2=83', '28+68=96'] Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 28, 70, 22, 14 ]
81
[ "28/14=2", "22/2=11", "70+11=81" ]
Current State: 81:[28, 70, 22, 14], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [70, 22, 2] Generated Node #2: [70, 22, 2] from Operation: 28/14=2 Current State: 81:[70, 22, 2], Operations: ['28/14=2'] Exploring Operation: 22/2=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 22/2=11 Current State: 81:[70, 11], Operations: ['28/14=2', '22/2=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 16, 52, 14 ]
42
[ "84/14=6", "52-16=36", "6+36=42" ]
Current State: 42:[84, 16, 52, 14], Operations: [] Exploring Operation: 84/14=6, Resulting Numbers: [16, 52, 6] Generated Node #2: [16, 52, 6] from Operation: 84/14=6 Current State: 42:[16, 52, 6], Operations: ['84/14=6'] Exploring Operation: 52-16=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 52-16=36 Current State: 42:[6, 36], Operations: ['84/14=6', '52-16=36'] Exploring Operation: 6+36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 11, 33, 97, 92 ]
49
[ "11+33=44", "97-92=5", "44+5=49" ]
Current State: 49:[11, 33, 97, 92], Operations: [] Exploring Operation: 11+33=44, Resulting Numbers: [97, 92, 44] Generated Node #2: [97, 92, 44] from Operation: 11+33=44 Current State: 49:[97, 92, 44], Operations: ['11+33=44'] Exploring Operation: 97-92=5, Resulting Numbers: [44, 5] Generated Node #3: [44, 5] from Operation: 97-92=5 Current State: 49:[44, 5], Operations: ['11+33=44', '97-92=5'] Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 88, 27, 24, 27 ]
65
[ "88-24=64", "27/27=1", "64+1=65" ]
Current State: 65:[88, 27, 24, 27], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [27, 27, 64] Generated Node #2: [27, 27, 64] from Operation: 88-24=64 Current State: 65:[27, 27, 64], Operations: ['88-24=64'] Exploring Operation: 27/27=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 27/27=1 Current State: 65:[64, 1], Operations: ['88-24=64', '27/27=1'] Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 2, 54, 21 ]
12
[ "1*2=2", "21*2=42", "54-42=12" ]
Current State: 12:[1, 2, 54, 21], Operations: [] Exploring Operation: 1*2=2, Resulting Numbers: [54, 21, 2] Generated Node #2: [54, 21, 2] from Operation: 1*2=2 Current State: 12:[54, 21, 2], Operations: ['1*2=2'] Exploring Operation: 21*2=42, Resulting Numbers: [54, 42] Generated Node #3: [54, 42] from Operation: 21*2=42 Current State: 12:[54, 42], Operations: ['1*2=2', '21*2=42'] Exploring Operation: 54-42=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 10, 3, 40, 15 ]
10
[ "10+40=50", "15/3=5", "50/5=10" ]
Current State: 10:[10, 3, 40, 15], Operations: [] Exploring Operation: 10+40=50, Resulting Numbers: [3, 15, 50] Generated Node #2: [3, 15, 50] from Operation: 10+40=50 Current State: 10:[3, 15, 50], Operations: ['10+40=50'] Exploring Operation: 15/3=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 15/3=5 Current State: 10:[50, 5], Operations: ['10+40=50', '15/3=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 10, 45, 6 ]
36
[ "64-10=54", "54/6=9", "45-9=36" ]
Current State: 36:[64, 10, 45, 6], Operations: [] Exploring Operation: 64-10=54, Resulting Numbers: [45, 6, 54] Generated Node #2: [45, 6, 54] from Operation: 64-10=54 Current State: 36:[45, 6, 54], Operations: ['64-10=54'] Exploring Operation: 54/6=9, Resulting Numbers: [45, 9] Generated Node #3: [45, 9] from Operation: 54/6=9 Current State: 36:[45, 9], Operations: ['64-10=54', '54/6=9'] Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 20, 90, 23 ]
93
[ "1*20=20", "90+23=113", "113-20=93" ]
Current State: 93:[1, 20, 90, 23], Operations: [] Exploring Operation: 1*20=20, Resulting Numbers: [90, 23, 20] Generated Node #2: [90, 23, 20] from Operation: 1*20=20 Current State: 93:[90, 23, 20], Operations: ['1*20=20'] Exploring Operation: 90+23=113, Resulting Numbers: [20, 113] Generated Node #3: [20, 113] from Operation: 90+23=113 Current State: 93:[20, 113], Operations: ['1*20=20', '90+23=113'] Exploring Operation: 113-20=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 7, 10, 86 ]
99
[ "7-4=3", "10+86=96", "3+96=99" ]
Current State: 99:[4, 7, 10, 86], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [10, 86, 3] Generated Node #2: [10, 86, 3] from Operation: 7-4=3 Current State: 99:[10, 86, 3], Operations: ['7-4=3'] Exploring Operation: 10+86=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 10+86=96 Current State: 99:[3, 96], Operations: ['7-4=3', '10+86=96'] Exploring Operation: 3+96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 77, 67, 75, 64 ]
60
[ "75-64=11", "77/11=7", "67-7=60" ]
Current State: 60:[77, 67, 75, 64], Operations: [] Exploring Operation: 75-64=11, Resulting Numbers: [77, 67, 11] Generated Node #2: [77, 67, 11] from Operation: 75-64=11 Current State: 60:[77, 67, 11], Operations: ['75-64=11'] Exploring Operation: 77/11=7, Resulting Numbers: [67, 7] Generated Node #3: [67, 7] from Operation: 77/11=7 Current State: 60:[67, 7], Operations: ['75-64=11', '77/11=7'] Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 20, 93, 65 ]
81
[ "93-20=73", "2*73=146", "146-65=81" ]
Current State: 81:[2, 20, 93, 65], Operations: [] Exploring Operation: 93-20=73, Resulting Numbers: [2, 65, 73] Generated Node #2: [2, 65, 73] from Operation: 93-20=73 Current State: 81:[2, 65, 73], Operations: ['93-20=73'] Exploring Operation: 2*73=146, Resulting Numbers: [65, 146] Generated Node #3: [65, 146] from Operation: 2*73=146 Current State: 81:[65, 146], Operations: ['93-20=73', '2*73=146'] Exploring Operation: 146-65=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 31, 11, 40 ]
85
[ "25+31=56", "40-11=29", "56+29=85" ]
Current State: 85:[25, 31, 11, 40], Operations: [] Exploring Operation: 25+31=56, Resulting Numbers: [11, 40, 56] Generated Node #2: [11, 40, 56] from Operation: 25+31=56 Current State: 85:[11, 40, 56], Operations: ['25+31=56'] Exploring Operation: 40-11=29, Resulting Numbers: [56, 29] Generated Node #3: [56, 29] from Operation: 40-11=29 Current State: 85:[56, 29], Operations: ['25+31=56', '40-11=29'] Exploring Operation: 56+29=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 65, 73, 20, 2 ]
14
[ "73-65=8", "20+2=22", "22-8=14" ]
Current State: 14:[65, 73, 20, 2], Operations: [] Exploring Operation: 73-65=8, Resulting Numbers: [20, 2, 8] Generated Node #2: [20, 2, 8] from Operation: 73-65=8 Current State: 14:[20, 2, 8], Operations: ['73-65=8'] Exploring Operation: 20+2=22, Resulting Numbers: [8, 22] Generated Node #3: [8, 22] from Operation: 20+2=22 Current State: 14:[8, 22], Operations: ['73-65=8', '20+2=22'] Exploring Operation: 22-8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 86, 7, 73 ]
50
[ "86-73=13", "7*13=91", "91-41=50" ]
Current State: 50:[41, 86, 7, 73], Operations: [] Exploring Operation: 86-73=13, Resulting Numbers: [41, 7, 13] Generated Node #2: [41, 7, 13] from Operation: 86-73=13 Current State: 50:[41, 7, 13], Operations: ['86-73=13'] Exploring Operation: 7*13=91, Resulting Numbers: [41, 91] Generated Node #3: [41, 91] from Operation: 7*13=91 Current State: 50:[41, 91], Operations: ['86-73=13', '7*13=91'] Exploring Operation: 91-41=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 52, 20, 53 ]
88
[ "69+52=121", "53-20=33", "121-33=88" ]
Current State: 88:[69, 52, 20, 53], Operations: [] Exploring Operation: 69+52=121, Resulting Numbers: [20, 53, 121] Generated Node #2: [20, 53, 121] from Operation: 69+52=121 Current State: 88:[20, 53, 121], Operations: ['69+52=121'] Exploring Operation: 53-20=33, Resulting Numbers: [121, 33] Generated Node #3: [121, 33] from Operation: 53-20=33 Current State: 88:[121, 33], Operations: ['69+52=121', '53-20=33'] Exploring Operation: 121-33=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 55, 22, 48, 18 ]
67
[ "22-18=4", "48/4=12", "55+12=67" ]
Current State: 67:[55, 22, 48, 18], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [55, 48, 4] Generated Node #2: [55, 48, 4] from Operation: 22-18=4 Current State: 67:[55, 48, 4], Operations: ['22-18=4'] Exploring Operation: 48/4=12, Resulting Numbers: [55, 12] Generated Node #3: [55, 12] from Operation: 48/4=12 Current State: 67:[55, 12], Operations: ['22-18=4', '48/4=12'] Exploring Operation: 55+12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 15, 90, 60 ]
70
[ "15-6=9", "90/9=10", "60+10=70" ]
Current State: 70:[6, 15, 90, 60], Operations: [] Exploring Operation: 15-6=9, Resulting Numbers: [90, 60, 9] Generated Node #2: [90, 60, 9] from Operation: 15-6=9 Current State: 70:[90, 60, 9], Operations: ['15-6=9'] Exploring Operation: 90/9=10, Resulting Numbers: [60, 10] Generated Node #3: [60, 10] from Operation: 90/9=10 Current State: 70:[60, 10], Operations: ['15-6=9', '90/9=10'] Exploring Operation: 60+10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 35, 6, 90, 66 ]
86
[ "35+66=101", "90/6=15", "101-15=86" ]
Current State: 86:[35, 6, 90, 66], Operations: [] Exploring Operation: 35+66=101, Resulting Numbers: [6, 90, 101] Generated Node #2: [6, 90, 101] from Operation: 35+66=101 Current State: 86:[6, 90, 101], Operations: ['35+66=101'] Exploring Operation: 90/6=15, Resulting Numbers: [101, 15] Generated Node #3: [101, 15] from Operation: 90/6=15 Current State: 86:[101, 15], Operations: ['35+66=101', '90/6=15'] Exploring Operation: 101-15=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 33, 44, 90, 43 ]
77
[ "44*90=3960", "3960/33=120", "120-43=77" ]
Current State: 77:[33, 44, 90, 43], Operations: [] Exploring Operation: 44*90=3960, Resulting Numbers: [33, 43, 3960] Generated Node #2: [33, 43, 3960] from Operation: 44*90=3960 Current State: 77:[33, 43, 3960], Operations: ['44*90=3960'] Exploring Operation: 3960/33=120, Resulting Numbers: [43, 120] Generated Node #3: [43, 120] from Operation: 3960/33=120 Current State: 77:[43, 120], Operations: ['44*90=3960', '3960/33=120'] Exploring Operation: 120-43=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 30, 21, 2, 16 ]
43
[ "30+21=51", "16/2=8", "51-8=43" ]
Current State: 43:[30, 21, 2, 16], Operations: [] Exploring Operation: 30+21=51, Resulting Numbers: [2, 16, 51] Generated Node #2: [2, 16, 51] from Operation: 30+21=51 Current State: 43:[2, 16, 51], Operations: ['30+21=51'] Exploring Operation: 16/2=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 16/2=8 Current State: 43:[51, 8], Operations: ['30+21=51', '16/2=8'] Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 77, 10, 22 ]
17
[ "77*10=770", "770-22=748", "748/44=17" ]
Current State: 17:[44, 77, 10, 22], Operations: [] Exploring Operation: 77*10=770, Resulting Numbers: [44, 22, 770] Generated Node #2: [44, 22, 770] from Operation: 77*10=770 Current State: 17:[44, 22, 770], Operations: ['77*10=770'] Exploring Operation: 770-22=748, Resulting Numbers: [44, 748] Generated Node #3: [44, 748] from Operation: 770-22=748 Current State: 17:[44, 748], Operations: ['77*10=770', '770-22=748'] Exploring Operation: 748/44=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 12, 67, 88, 65 ]
94
[ "67-65=2", "12/2=6", "88+6=94" ]
Current State: 94:[12, 67, 88, 65], Operations: [] Exploring Operation: 67-65=2, Resulting Numbers: [12, 88, 2] Generated Node #2: [12, 88, 2] from Operation: 67-65=2 Current State: 94:[12, 88, 2], Operations: ['67-65=2'] Exploring Operation: 12/2=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 12/2=6 Current State: 94:[88, 6], Operations: ['67-65=2', '12/2=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 44, 60, 22, 83 ]
77
[ "60-44=16", "83-22=61", "16+61=77" ]
Current State: 77:[44, 60, 22, 83], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [22, 83, 16] Generated Node #2: [22, 83, 16] from Operation: 60-44=16 Current State: 77:[22, 83, 16], Operations: ['60-44=16'] Exploring Operation: 83-22=61, Resulting Numbers: [16, 61] Generated Node #3: [16, 61] from Operation: 83-22=61 Current State: 77:[16, 61], Operations: ['60-44=16', '83-22=61'] Exploring Operation: 16+61=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 61, 4, 62 ]
91
[ "61*4=244", "244-62=182", "182/2=91" ]
Current State: 91:[2, 61, 4, 62], Operations: [] Exploring Operation: 61*4=244, Resulting Numbers: [2, 62, 244] Generated Node #2: [2, 62, 244] from Operation: 61*4=244 Current State: 91:[2, 62, 244], Operations: ['61*4=244'] Exploring Operation: 244-62=182, Resulting Numbers: [2, 182] Generated Node #3: [2, 182] from Operation: 244-62=182 Current State: 91:[2, 182], Operations: ['61*4=244', '244-62=182'] Exploring Operation: 182/2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 91, 86, 43 ]
38
[ "2*86=172", "91+43=134", "172-134=38" ]
Current State: 38:[2, 91, 86, 43], Operations: [] Exploring Operation: 2*86=172, Resulting Numbers: [91, 43, 172] Generated Node #2: [91, 43, 172] from Operation: 2*86=172 Current State: 38:[91, 43, 172], Operations: ['2*86=172'] Exploring Operation: 91+43=134, Resulting Numbers: [172, 134] Generated Node #3: [172, 134] from Operation: 91+43=134 Current State: 38:[172, 134], Operations: ['2*86=172', '91+43=134'] Exploring Operation: 172-134=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 82, 75, 69, 18 ]
57
[ "82-75=7", "18*7=126", "126-69=57" ]
Current State: 57:[82, 75, 69, 18], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [69, 18, 7] Generated Node #2: [69, 18, 7] from Operation: 82-75=7 Current State: 57:[69, 18, 7], Operations: ['82-75=7'] Exploring Operation: 18*7=126, Resulting Numbers: [69, 126] Generated Node #3: [69, 126] from Operation: 18*7=126 Current State: 57:[69, 126], Operations: ['82-75=7', '18*7=126'] Exploring Operation: 126-69=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 69, 80, 73, 42 ]
42
[ "80-69=11", "73-42=31", "11+31=42" ]
Current State: 42:[69, 80, 73, 42], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [73, 42, 11] Generated Node #2: [73, 42, 11] from Operation: 80-69=11 Current State: 42:[73, 42, 11], Operations: ['80-69=11'] Exploring Operation: 73-42=31, Resulting Numbers: [11, 31] Generated Node #3: [11, 31] from Operation: 73-42=31 Current State: 42:[11, 31], Operations: ['80-69=11', '73-42=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 18, 4, 38 ]
90
[ "65-38=27", "4*27=108", "108-18=90" ]
Current State: 90:[65, 18, 4, 38], Operations: [] Exploring Operation: 65-38=27, Resulting Numbers: [18, 4, 27] Generated Node #2: [18, 4, 27] from Operation: 65-38=27 Current State: 90:[18, 4, 27], Operations: ['65-38=27'] Exploring Operation: 4*27=108, Resulting Numbers: [18, 108] Generated Node #3: [18, 108] from Operation: 4*27=108 Current State: 90:[18, 108], Operations: ['65-38=27', '4*27=108'] Exploring Operation: 108-18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 29, 88, 43 ]
77
[ "61-29=32", "88-43=45", "32+45=77" ]
Current State: 77:[61, 29, 88, 43], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [88, 43, 32] Generated Node #2: [88, 43, 32] from Operation: 61-29=32 Current State: 77:[88, 43, 32], Operations: ['61-29=32'] Exploring Operation: 88-43=45, Resulting Numbers: [32, 45] Generated Node #3: [32, 45] from Operation: 88-43=45 Current State: 77:[32, 45], Operations: ['61-29=32', '88-43=45'] Exploring Operation: 32+45=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 20, 67, 48, 18 ]
20
[ "67-48=19", "19-18=1", "20*1=20" ]
Current State: 20:[20, 67, 48, 18], Operations: [] Exploring Operation: 67-48=19, Resulting Numbers: [20, 18, 19] Generated Node #2: [20, 18, 19] from Operation: 67-48=19 Current State: 20:[20, 18, 19], Operations: ['67-48=19'] Exploring Operation: 19-18=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 19-18=1 Current State: 20:[20, 1], Operations: ['67-48=19', '19-18=1'] Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 58, 13, 97, 78 ]
52
[ "58+13=71", "97-78=19", "71-19=52" ]
Current State: 52:[58, 13, 97, 78], Operations: [] Exploring Operation: 58+13=71, Resulting Numbers: [97, 78, 71] Generated Node #2: [97, 78, 71] from Operation: 58+13=71 Current State: 52:[97, 78, 71], Operations: ['58+13=71'] Exploring Operation: 97-78=19, Resulting Numbers: [71, 19] Generated Node #3: [71, 19] from Operation: 97-78=19 Current State: 52:[71, 19], Operations: ['58+13=71', '97-78=19'] Exploring Operation: 71-19=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 35, 22, 61 ]
45
[ "3+35=38", "22+61=83", "83-38=45" ]
Current State: 45:[3, 35, 22, 61], Operations: [] Exploring Operation: 3+35=38, Resulting Numbers: [22, 61, 38] Generated Node #2: [22, 61, 38] from Operation: 3+35=38 Current State: 45:[22, 61, 38], Operations: ['3+35=38'] Exploring Operation: 22+61=83, Resulting Numbers: [38, 83] Generated Node #3: [38, 83] from Operation: 22+61=83 Current State: 45:[38, 83], Operations: ['3+35=38', '22+61=83'] Exploring Operation: 83-38=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 28, 84, 83, 88 ]
57
[ "84/28=3", "83+88=171", "171/3=57" ]
Current State: 57:[28, 84, 83, 88], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [83, 88, 3] Generated Node #2: [83, 88, 3] from Operation: 84/28=3 Current State: 57:[83, 88, 3], Operations: ['84/28=3'] Exploring Operation: 83+88=171, Resulting Numbers: [3, 171] Generated Node #3: [3, 171] from Operation: 83+88=171 Current State: 57:[3, 171], Operations: ['84/28=3', '83+88=171'] Exploring Operation: 171/3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 48, 58, 18 ]
87
[ "14+18=32", "48*58=2784", "2784/32=87" ]
Current State: 87:[14, 48, 58, 18], Operations: [] Exploring Operation: 14+18=32, Resulting Numbers: [48, 58, 32] Generated Node #2: [48, 58, 32] from Operation: 14+18=32 Current State: 87:[48, 58, 32], Operations: ['14+18=32'] Exploring Operation: 48*58=2784, Resulting Numbers: [32, 2784] Generated Node #3: [32, 2784] from Operation: 48*58=2784 Current State: 87:[32, 2784], Operations: ['14+18=32', '48*58=2784'] Exploring Operation: 2784/32=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 63, 2, 51 ]
83
[ "51-11=40", "40/2=20", "63+20=83" ]
Current State: 83:[11, 63, 2, 51], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [63, 2, 40] Generated Node #2: [63, 2, 40] from Operation: 51-11=40 Current State: 83:[63, 2, 40], Operations: ['51-11=40'] Exploring Operation: 40/2=20, Resulting Numbers: [63, 20] Generated Node #3: [63, 20] from Operation: 40/2=20 Current State: 83:[63, 20], Operations: ['51-11=40', '40/2=20'] Exploring Operation: 63+20=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 28, 75, 15, 16 ]
16
[ "75-28=47", "15+16=31", "47-31=16" ]
Current State: 16:[28, 75, 15, 16], Operations: [] Exploring Operation: 75-28=47, Resulting Numbers: [15, 16, 47] Generated Node #2: [15, 16, 47] from Operation: 75-28=47 Current State: 16:[15, 16, 47], Operations: ['75-28=47'] Exploring Operation: 15+16=31, Resulting Numbers: [47, 31] Generated Node #3: [47, 31] from Operation: 15+16=31 Current State: 16:[47, 31], Operations: ['75-28=47', '15+16=31'] Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 71, 3, 39, 4 ]
97
[ "3+39=42", "4*42=168", "168-71=97" ]
Current State: 97:[71, 3, 39, 4], Operations: [] Exploring Operation: 3+39=42, Resulting Numbers: [71, 4, 42] Generated Node #2: [71, 4, 42] from Operation: 3+39=42 Current State: 97:[71, 4, 42], Operations: ['3+39=42'] Exploring Operation: 4*42=168, Resulting Numbers: [71, 168] Generated Node #3: [71, 168] from Operation: 4*42=168 Current State: 97:[71, 168], Operations: ['3+39=42', '4*42=168'] Exploring Operation: 168-71=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 23, 35, 34 ]
12
[ "23-10=13", "35-34=1", "13-1=12" ]
Current State: 12:[10, 23, 35, 34], Operations: [] Exploring Operation: 23-10=13, Resulting Numbers: [35, 34, 13] Generated Node #2: [35, 34, 13] from Operation: 23-10=13 Current State: 12:[35, 34, 13], Operations: ['23-10=13'] Exploring Operation: 35-34=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 35-34=1 Current State: 12:[13, 1], Operations: ['23-10=13', '35-34=1'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 78, 75, 38 ]
97
[ "77-75=2", "38/2=19", "78+19=97" ]
Current State: 97:[77, 78, 75, 38], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [78, 38, 2] Generated Node #2: [78, 38, 2] from Operation: 77-75=2 Current State: 97:[78, 38, 2], Operations: ['77-75=2'] Exploring Operation: 38/2=19, Resulting Numbers: [78, 19] Generated Node #3: [78, 19] from Operation: 38/2=19 Current State: 97:[78, 19], Operations: ['77-75=2', '38/2=19'] Exploring Operation: 78+19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 57, 39, 33 ]
66
[ "57-46=11", "39-33=6", "11*6=66" ]
Current State: 66:[46, 57, 39, 33], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [39, 33, 11] Generated Node #2: [39, 33, 11] from Operation: 57-46=11 Current State: 66:[39, 33, 11], Operations: ['57-46=11'] Exploring Operation: 39-33=6, Resulting Numbers: [11, 6] Generated Node #3: [11, 6] from Operation: 39-33=6 Current State: 66:[11, 6], Operations: ['57-46=11', '39-33=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 27, 57, 21, 48 ]
18
[ "57-48=9", "27/9=3", "21-3=18" ]
Current State: 18:[27, 57, 21, 48], Operations: [] Exploring Operation: 57-48=9, Resulting Numbers: [27, 21, 9] Generated Node #2: [27, 21, 9] from Operation: 57-48=9 Current State: 18:[27, 21, 9], Operations: ['57-48=9'] Exploring Operation: 27/9=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 27/9=3 Current State: 18:[21, 3], Operations: ['57-48=9', '27/9=3'] Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 83, 81, 99 ]
74
[ "83-81=2", "50/2=25", "99-25=74" ]
Current State: 74:[50, 83, 81, 99], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [50, 99, 2] Generated Node #2: [50, 99, 2] from Operation: 83-81=2 Current State: 74:[50, 99, 2], Operations: ['83-81=2'] Exploring Operation: 50/2=25, Resulting Numbers: [99, 25] Generated Node #3: [99, 25] from Operation: 50/2=25 Current State: 74:[99, 25], Operations: ['83-81=2', '50/2=25'] Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 99, 87, 87, 94 ]
84
[ "99-87=12", "94-87=7", "12*7=84" ]
Current State: 84:[99, 87, 87, 94], Operations: [] Exploring Operation: 99-87=12, Resulting Numbers: [94, 12] Generated Node #2: [94, 12] from Operation: 99-87=12 Current State: 84:[94, 12], Operations: ['99-87=12'] Exploring Operation: 94-87=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 94-87=7 Current State: 84:[12, 7], Operations: ['99-87=12', '94-87=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 5, 40, 32 ]
78
[ "42+40=82", "5*32=160", "160-82=78" ]
Current State: 78:[42, 5, 40, 32], Operations: [] Exploring Operation: 42+40=82, Resulting Numbers: [5, 32, 82] Generated Node #2: [5, 32, 82] from Operation: 42+40=82 Current State: 78:[5, 32, 82], Operations: ['42+40=82'] Exploring Operation: 5*32=160, Resulting Numbers: [82, 160] Generated Node #3: [82, 160] from Operation: 5*32=160 Current State: 78:[82, 160], Operations: ['42+40=82', '5*32=160'] Exploring Operation: 160-82=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 82, 97, 4 ]
82
[ "97-56=41", "4*41=164", "164-82=82" ]
Current State: 82:[56, 82, 97, 4], Operations: [] Exploring Operation: 97-56=41, Resulting Numbers: [82, 4, 41] Generated Node #2: [82, 4, 41] from Operation: 97-56=41 Current State: 82:[82, 4, 41], Operations: ['97-56=41'] Exploring Operation: 4*41=164, Resulting Numbers: [82, 164] Generated Node #3: [82, 164] from Operation: 4*41=164 Current State: 82:[82, 164], Operations: ['97-56=41', '4*41=164'] Exploring Operation: 164-82=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 27, 56, 69 ]
62
[ "35-27=8", "56/8=7", "69-7=62" ]
Current State: 62:[35, 27, 56, 69], Operations: [] Exploring Operation: 35-27=8, Resulting Numbers: [56, 69, 8] Generated Node #2: [56, 69, 8] from Operation: 35-27=8 Current State: 62:[56, 69, 8], Operations: ['35-27=8'] Exploring Operation: 56/8=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 56/8=7 Current State: 62:[69, 7], Operations: ['35-27=8', '56/8=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 12, 27, 93 ]
12
[ "15-12=3", "27*3=81", "93-81=12" ]
Current State: 12:[15, 12, 27, 93], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [27, 93, 3] Generated Node #2: [27, 93, 3] from Operation: 15-12=3 Current State: 12:[27, 93, 3], Operations: ['15-12=3'] Exploring Operation: 27*3=81, Resulting Numbers: [93, 81] Generated Node #3: [93, 81] from Operation: 27*3=81 Current State: 12:[93, 81], Operations: ['15-12=3', '27*3=81'] Exploring Operation: 93-81=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 34, 90, 70, 69 ]
55
[ "90-34=56", "70-69=1", "56-1=55" ]
Current State: 55:[34, 90, 70, 69], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [70, 69, 56] Generated Node #2: [70, 69, 56] from Operation: 90-34=56 Current State: 55:[70, 69, 56], Operations: ['90-34=56'] Exploring Operation: 70-69=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 70-69=1 Current State: 55:[56, 1], Operations: ['90-34=56', '70-69=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 46, 80, 12, 39 ]
37
[ "80+12=92", "92/46=2", "39-2=37" ]
Current State: 37:[46, 80, 12, 39], Operations: [] Exploring Operation: 80+12=92, Resulting Numbers: [46, 39, 92] Generated Node #2: [46, 39, 92] from Operation: 80+12=92 Current State: 37:[46, 39, 92], Operations: ['80+12=92'] Exploring Operation: 92/46=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 92/46=2 Current State: 37:[39, 2], Operations: ['80+12=92', '92/46=2'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 11, 30, 27 ]
48
[ "30/10=3", "27-11=16", "3*16=48" ]
Current State: 48:[10, 11, 30, 27], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [11, 27, 3] Generated Node #2: [11, 27, 3] from Operation: 30/10=3 Current State: 48:[11, 27, 3], Operations: ['30/10=3'] Exploring Operation: 27-11=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 27-11=16 Current State: 48:[3, 16], Operations: ['30/10=3', '27-11=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 42, 68, 28, 88 ]
34
[ "68-42=26", "88-28=60", "60-26=34" ]
Current State: 34:[42, 68, 28, 88], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [28, 88, 26] Generated Node #2: [28, 88, 26] from Operation: 68-42=26 Current State: 34:[28, 88, 26], Operations: ['68-42=26'] Exploring Operation: 88-28=60, Resulting Numbers: [26, 60] Generated Node #3: [26, 60] from Operation: 88-28=60 Current State: 34:[26, 60], Operations: ['68-42=26', '88-28=60'] Exploring Operation: 60-26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 3, 52, 25, 40 ]
41
[ "52-25=27", "3*27=81", "81-40=41" ]
Current State: 41:[3, 52, 25, 40], Operations: [] Exploring Operation: 52-25=27, Resulting Numbers: [3, 40, 27] Generated Node #2: [3, 40, 27] from Operation: 52-25=27 Current State: 41:[3, 40, 27], Operations: ['52-25=27'] Exploring Operation: 3*27=81, Resulting Numbers: [40, 81] Generated Node #3: [40, 81] from Operation: 3*27=81 Current State: 41:[40, 81], Operations: ['52-25=27', '3*27=81'] Exploring Operation: 81-40=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 24, 78, 99 ]
33
[ "18*99=1782", "78-24=54", "1782/54=33" ]
Current State: 33:[18, 24, 78, 99], Operations: [] Exploring Operation: 18*99=1782, Resulting Numbers: [24, 78, 1782] Generated Node #2: [24, 78, 1782] from Operation: 18*99=1782 Current State: 33:[24, 78, 1782], Operations: ['18*99=1782'] Exploring Operation: 78-24=54, Resulting Numbers: [1782, 54] Generated Node #3: [1782, 54] from Operation: 78-24=54 Current State: 33:[1782, 54], Operations: ['18*99=1782', '78-24=54'] Exploring Operation: 1782/54=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 4, 85, 60, 72 ]
37
[ "72-60=12", "4*12=48", "85-48=37" ]
Current State: 37:[4, 85, 60, 72], Operations: [] Exploring Operation: 72-60=12, Resulting Numbers: [4, 85, 12] Generated Node #2: [4, 85, 12] from Operation: 72-60=12 Current State: 37:[4, 85, 12], Operations: ['72-60=12'] Exploring Operation: 4*12=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 4*12=48 Current State: 37:[85, 48], Operations: ['72-60=12', '4*12=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 94, 51, 1, 69 ]
25
[ "94-51=43", "69-1=68", "68-43=25" ]
Current State: 25:[94, 51, 1, 69], Operations: [] Exploring Operation: 94-51=43, Resulting Numbers: [1, 69, 43] Generated Node #2: [1, 69, 43] from Operation: 94-51=43 Current State: 25:[1, 69, 43], Operations: ['94-51=43'] Exploring Operation: 69-1=68, Resulting Numbers: [43, 68] Generated Node #3: [43, 68] from Operation: 69-1=68 Current State: 25:[43, 68], Operations: ['94-51=43', '69-1=68'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 77, 72, 15, 19 ]
56
[ "77-72=5", "15*5=75", "75-19=56" ]
Current State: 56:[77, 72, 15, 19], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [15, 19, 5] Generated Node #2: [15, 19, 5] from Operation: 77-72=5 Current State: 56:[15, 19, 5], Operations: ['77-72=5'] Exploring Operation: 15*5=75, Resulting Numbers: [19, 75] Generated Node #3: [19, 75] from Operation: 15*5=75 Current State: 56:[19, 75], Operations: ['77-72=5', '15*5=75'] Exploring Operation: 75-19=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 41, 37, 27, 40 ]
52
[ "41-37=4", "40-27=13", "4*13=52" ]
Current State: 52:[41, 37, 27, 40], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [27, 40, 4] Generated Node #2: [27, 40, 4] from Operation: 41-37=4 Current State: 52:[27, 40, 4], Operations: ['41-37=4'] Exploring Operation: 40-27=13, Resulting Numbers: [4, 13] Generated Node #3: [4, 13] from Operation: 40-27=13 Current State: 52:[4, 13], Operations: ['41-37=4', '40-27=13'] Exploring Operation: 4*13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 59, 9, 93 ]
15
[ "59-47=12", "9*12=108", "108-93=15" ]
Current State: 15:[47, 59, 9, 93], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [9, 93, 12] Generated Node #2: [9, 93, 12] from Operation: 59-47=12 Current State: 15:[9, 93, 12], Operations: ['59-47=12'] Exploring Operation: 9*12=108, Resulting Numbers: [93, 108] Generated Node #3: [93, 108] from Operation: 9*12=108 Current State: 15:[93, 108], Operations: ['59-47=12', '9*12=108'] Exploring Operation: 108-93=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 50, 2, 86 ]
63
[ "86-48=38", "50/2=25", "38+25=63" ]
Current State: 63:[48, 50, 2, 86], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [50, 2, 38] Generated Node #2: [50, 2, 38] from Operation: 86-48=38 Current State: 63:[50, 2, 38], Operations: ['86-48=38'] Exploring Operation: 50/2=25, Resulting Numbers: [38, 25] Generated Node #3: [38, 25] from Operation: 50/2=25 Current State: 63:[38, 25], Operations: ['86-48=38', '50/2=25'] Exploring Operation: 38+25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 73, 68, 66, 58 ]
17
[ "73+68=141", "66+58=124", "141-124=17" ]
Current State: 17:[73, 68, 66, 58], Operations: [] Exploring Operation: 73+68=141, Resulting Numbers: [66, 58, 141] Generated Node #2: [66, 58, 141] from Operation: 73+68=141 Current State: 17:[66, 58, 141], Operations: ['73+68=141'] Exploring Operation: 66+58=124, Resulting Numbers: [141, 124] Generated Node #3: [141, 124] from Operation: 66+58=124 Current State: 17:[141, 124], Operations: ['73+68=141', '66+58=124'] Exploring Operation: 141-124=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 54, 27, 90 ]
44
[ "67*54=3618", "3618/27=134", "134-90=44" ]
Current State: 44:[67, 54, 27, 90], Operations: [] Exploring Operation: 67*54=3618, Resulting Numbers: [27, 90, 3618] Generated Node #2: [27, 90, 3618] from Operation: 67*54=3618 Current State: 44:[27, 90, 3618], Operations: ['67*54=3618'] Exploring Operation: 3618/27=134, Resulting Numbers: [90, 134] Generated Node #3: [90, 134] from Operation: 3618/27=134 Current State: 44:[90, 134], Operations: ['67*54=3618', '3618/27=134'] Exploring Operation: 134-90=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 83, 36, 70 ]
87
[ "83+70=153", "153/3=51", "36+51=87" ]
Current State: 87:[3, 83, 36, 70], Operations: [] Exploring Operation: 83+70=153, Resulting Numbers: [3, 36, 153] Generated Node #2: [3, 36, 153] from Operation: 83+70=153 Current State: 87:[3, 36, 153], Operations: ['83+70=153'] Exploring Operation: 153/3=51, Resulting Numbers: [36, 51] Generated Node #3: [36, 51] from Operation: 153/3=51 Current State: 87:[36, 51], Operations: ['83+70=153', '153/3=51'] Exploring Operation: 36+51=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 91, 60, 15, 32 ]
14
[ "91-60=31", "32-15=17", "31-17=14" ]
Current State: 14:[91, 60, 15, 32], Operations: [] Exploring Operation: 91-60=31, Resulting Numbers: [15, 32, 31] Generated Node #2: [15, 32, 31] from Operation: 91-60=31 Current State: 14:[15, 32, 31], Operations: ['91-60=31'] Exploring Operation: 32-15=17, Resulting Numbers: [31, 17] Generated Node #3: [31, 17] from Operation: 32-15=17 Current State: 14:[31, 17], Operations: ['91-60=31', '32-15=17'] Exploring Operation: 31-17=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 59, 12, 85, 62 ]
74
[ "59+85=144", "144/12=12", "62+12=74" ]
Current State: 74:[59, 12, 85, 62], Operations: [] Exploring Operation: 59+85=144, Resulting Numbers: [12, 62, 144] Generated Node #2: [12, 62, 144] from Operation: 59+85=144 Current State: 74:[12, 62, 144], Operations: ['59+85=144'] Exploring Operation: 144/12=12, Resulting Numbers: [62, 12] Generated Node #3: [62, 12] from Operation: 144/12=12 Current State: 74:[62, 12], Operations: ['59+85=144', '144/12=12'] Exploring Operation: 62+12=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 32, 74, 29, 44 ]
33
[ "32+74=106", "29+44=73", "106-73=33" ]
Current State: 33:[32, 74, 29, 44], Operations: [] Exploring Operation: 32+74=106, Resulting Numbers: [29, 44, 106] Generated Node #2: [29, 44, 106] from Operation: 32+74=106 Current State: 33:[29, 44, 106], Operations: ['32+74=106'] Exploring Operation: 29+44=73, Resulting Numbers: [106, 73] Generated Node #3: [106, 73] from Operation: 29+44=73 Current State: 33:[106, 73], Operations: ['32+74=106', '29+44=73'] Exploring Operation: 106-73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 72, 10, 15 ]
86
[ "72*10=720", "720/15=48", "38+48=86" ]
Current State: 86:[38, 72, 10, 15], Operations: [] Exploring Operation: 72*10=720, Resulting Numbers: [38, 15, 720] Generated Node #2: [38, 15, 720] from Operation: 72*10=720 Current State: 86:[38, 15, 720], Operations: ['72*10=720'] Exploring Operation: 720/15=48, Resulting Numbers: [38, 48] Generated Node #3: [38, 48] from Operation: 720/15=48 Current State: 86:[38, 48], Operations: ['72*10=720', '720/15=48'] Exploring Operation: 38+48=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 26, 47, 6, 46 ]
19
[ "47-26=21", "46-6=40", "40-21=19" ]
Current State: 19:[26, 47, 6, 46], Operations: [] Exploring Operation: 47-26=21, Resulting Numbers: [6, 46, 21] Generated Node #2: [6, 46, 21] from Operation: 47-26=21 Current State: 19:[6, 46, 21], Operations: ['47-26=21'] Exploring Operation: 46-6=40, Resulting Numbers: [21, 40] Generated Node #3: [21, 40] from Operation: 46-6=40 Current State: 19:[21, 40], Operations: ['47-26=21', '46-6=40'] Exploring Operation: 40-21=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 15, 70, 77, 91 ]
28
[ "77-70=7", "91/7=13", "15+13=28" ]
Current State: 28:[15, 70, 77, 91], Operations: [] Exploring Operation: 77-70=7, Resulting Numbers: [15, 91, 7] Generated Node #2: [15, 91, 7] from Operation: 77-70=7 Current State: 28:[15, 91, 7], Operations: ['77-70=7'] Exploring Operation: 91/7=13, Resulting Numbers: [15, 13] Generated Node #3: [15, 13] from Operation: 91/7=13 Current State: 28:[15, 13], Operations: ['77-70=7', '91/7=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 54, 25, 4 ]
38
[ "84+54=138", "25*4=100", "138-100=38" ]
Current State: 38:[84, 54, 25, 4], Operations: [] Exploring Operation: 84+54=138, Resulting Numbers: [25, 4, 138] Generated Node #2: [25, 4, 138] from Operation: 84+54=138 Current State: 38:[25, 4, 138], Operations: ['84+54=138'] Exploring Operation: 25*4=100, Resulting Numbers: [138, 100] Generated Node #3: [138, 100] from Operation: 25*4=100 Current State: 38:[138, 100], Operations: ['84+54=138', '25*4=100'] Exploring Operation: 138-100=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 44, 6, 23, 24 ]
39
[ "44-6=38", "24-23=1", "38+1=39" ]
Current State: 39:[44, 6, 23, 24], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [23, 24, 38] Generated Node #2: [23, 24, 38] from Operation: 44-6=38 Current State: 39:[23, 24, 38], Operations: ['44-6=38'] Exploring Operation: 24-23=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 24-23=1 Current State: 39:[38, 1], Operations: ['44-6=38', '24-23=1'] Exploring Operation: 38+1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 97, 82, 5 ]
17
[ "10/5=2", "97-82=15", "2+15=17" ]
Current State: 17:[10, 97, 82, 5], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [97, 82, 2] Generated Node #2: [97, 82, 2] from Operation: 10/5=2 Current State: 17:[97, 82, 2], Operations: ['10/5=2'] Exploring Operation: 97-82=15, Resulting Numbers: [2, 15] Generated Node #3: [2, 15] from Operation: 97-82=15 Current State: 17:[2, 15], Operations: ['10/5=2', '97-82=15'] Exploring Operation: 2+15=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 28, 70, 18, 9 ]
21
[ "70-28=42", "18/9=2", "42/2=21" ]
Current State: 21:[28, 70, 18, 9], Operations: [] Exploring Operation: 70-28=42, Resulting Numbers: [18, 9, 42] Generated Node #2: [18, 9, 42] from Operation: 70-28=42 Current State: 21:[18, 9, 42], Operations: ['70-28=42'] Exploring Operation: 18/9=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 18/9=2 Current State: 21:[42, 2], Operations: ['70-28=42', '18/9=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 48, 74, 42, 87 ]
77
[ "48+74=122", "87-42=45", "122-45=77" ]
Current State: 77:[48, 74, 42, 87], Operations: [] Exploring Operation: 48+74=122, Resulting Numbers: [42, 87, 122] Generated Node #2: [42, 87, 122] from Operation: 48+74=122 Current State: 77:[42, 87, 122], Operations: ['48+74=122'] Exploring Operation: 87-42=45, Resulting Numbers: [122, 45] Generated Node #3: [122, 45] from Operation: 87-42=45 Current State: 77:[122, 45], Operations: ['48+74=122', '87-42=45'] Exploring Operation: 122-45=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 26, 51, 89 ]
76
[ "88+26=114", "89-51=38", "114-38=76" ]
Current State: 76:[88, 26, 51, 89], Operations: [] Exploring Operation: 88+26=114, Resulting Numbers: [51, 89, 114] Generated Node #2: [51, 89, 114] from Operation: 88+26=114 Current State: 76:[51, 89, 114], Operations: ['88+26=114'] Exploring Operation: 89-51=38, Resulting Numbers: [114, 38] Generated Node #3: [114, 38] from Operation: 89-51=38 Current State: 76:[114, 38], Operations: ['88+26=114', '89-51=38'] Exploring Operation: 114-38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 79, 89, 51, 81 ]
70
[ "81-79=2", "89+51=140", "140/2=70" ]
Current State: 70:[79, 89, 51, 81], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [89, 51, 2] Generated Node #2: [89, 51, 2] from Operation: 81-79=2 Current State: 70:[89, 51, 2], Operations: ['81-79=2'] Exploring Operation: 89+51=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 89+51=140 Current State: 70:[2, 140], Operations: ['81-79=2', '89+51=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 94, 25, 71, 77 ]
29
[ "94+25=119", "71+77=148", "148-119=29" ]
Current State: 29:[94, 25, 71, 77], Operations: [] Exploring Operation: 94+25=119, Resulting Numbers: [71, 77, 119] Generated Node #2: [71, 77, 119] from Operation: 94+25=119 Current State: 29:[71, 77, 119], Operations: ['94+25=119'] Exploring Operation: 71+77=148, Resulting Numbers: [119, 148] Generated Node #3: [119, 148] from Operation: 71+77=148 Current State: 29:[119, 148], Operations: ['94+25=119', '71+77=148'] Exploring Operation: 148-119=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 20, 90, 65, 81 ]
72
[ "81-65=16", "90*16=1440", "1440/20=72" ]
Current State: 72:[20, 90, 65, 81], Operations: [] Exploring Operation: 81-65=16, Resulting Numbers: [20, 90, 16] Generated Node #2: [20, 90, 16] from Operation: 81-65=16 Current State: 72:[20, 90, 16], Operations: ['81-65=16'] Exploring Operation: 90*16=1440, Resulting Numbers: [20, 1440] Generated Node #3: [20, 1440] from Operation: 90*16=1440 Current State: 72:[20, 1440], Operations: ['81-65=16', '90*16=1440'] Exploring Operation: 1440/20=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 19, 45, 25, 21 ]
10
[ "21-19=2", "45-25=20", "20/2=10" ]
Current State: 10:[19, 45, 25, 21], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [45, 25, 2] Generated Node #2: [45, 25, 2] from Operation: 21-19=2 Current State: 10:[45, 25, 2], Operations: ['21-19=2'] Exploring Operation: 45-25=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 45-25=20 Current State: 10:[2, 20], Operations: ['21-19=2', '45-25=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 2, 25, 54 ]
72
[ "40+54=94", "94/2=47", "25+47=72" ]
Current State: 72:[40, 2, 25, 54], Operations: [] Exploring Operation: 40+54=94, Resulting Numbers: [2, 25, 94] Generated Node #2: [2, 25, 94] from Operation: 40+54=94 Current State: 72:[2, 25, 94], Operations: ['40+54=94'] Exploring Operation: 94/2=47, Resulting Numbers: [25, 47] Generated Node #3: [25, 47] from Operation: 94/2=47 Current State: 72:[25, 47], Operations: ['40+54=94', '94/2=47'] Exploring Operation: 25+47=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 14, 63, 94 ]
18
[ "2*63=126", "14+94=108", "126-108=18" ]
Current State: 18:[2, 14, 63, 94], Operations: [] Exploring Operation: 2*63=126, Resulting Numbers: [14, 94, 126] Generated Node #2: [14, 94, 126] from Operation: 2*63=126 Current State: 18:[14, 94, 126], Operations: ['2*63=126'] Exploring Operation: 14+94=108, Resulting Numbers: [126, 108] Generated Node #3: [126, 108] from Operation: 14+94=108 Current State: 18:[126, 108], Operations: ['2*63=126', '14+94=108'] Exploring Operation: 126-108=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 46, 96, 92 ]
20
[ "58*92=5336", "5336/46=116", "116-96=20" ]
Current State: 20:[58, 46, 96, 92], Operations: [] Exploring Operation: 58*92=5336, Resulting Numbers: [46, 96, 5336] Generated Node #2: [46, 96, 5336] from Operation: 58*92=5336 Current State: 20:[46, 96, 5336], Operations: ['58*92=5336'] Exploring Operation: 5336/46=116, Resulting Numbers: [96, 116] Generated Node #3: [96, 116] from Operation: 5336/46=116 Current State: 20:[96, 116], Operations: ['58*92=5336', '5336/46=116'] Exploring Operation: 116-96=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4