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
[ 95, 64, 5, 47 ]
73
[ "95-64=31", "47-5=42", "31+42=73" ]
Current State: 73:[95, 64, 5, 47], Operations: [] Exploring Operation: 95-64=31, Resulting Numbers: [5, 47, 31] Generated Node #2: [5, 47, 31] from Operation: 95-64=31 Current State: 73:[5, 47, 31], Operations: ['95-64=31'] Exploring Operation: 47-5=42, Resulting Numbers: [31, 42] Generated Node #3: [31, 42] from Operation: 47-5=42 Current State: 73:[31, 42], Operations: ['95-64=31', '47-5=42'] Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 59, 2, 66, 22 ]
95
[ "59-22=37", "2*66=132", "132-37=95" ]
Current State: 95:[59, 2, 66, 22], Operations: [] Exploring Operation: 59-22=37, Resulting Numbers: [2, 66, 37] Generated Node #2: [2, 66, 37] from Operation: 59-22=37 Current State: 95:[2, 66, 37], Operations: ['59-22=37'] Exploring Operation: 2*66=132, Resulting Numbers: [37, 132] Generated Node #3: [37, 132] from Operation: 2*66=132 Current State: 95:[37, 132], Operations: ['59-22=37', '2*66=132'] Exploring Operation: 132-37=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 42, 12, 20, 88 ]
38
[ "42-12=30", "88-20=68", "68-30=38" ]
Current State: 38:[42, 12, 20, 88], Operations: [] Exploring Operation: 42-12=30, Resulting Numbers: [20, 88, 30] Generated Node #2: [20, 88, 30] from Operation: 42-12=30 Current State: 38:[20, 88, 30], Operations: ['42-12=30'] Exploring Operation: 88-20=68, Resulting Numbers: [30, 68] Generated Node #3: [30, 68] from Operation: 88-20=68 Current State: 38:[30, 68], Operations: ['42-12=30', '88-20=68'] Exploring Operation: 68-30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 39, 3, 8, 98 ]
70
[ "39-3=36", "8+98=106", "106-36=70" ]
Current State: 70:[39, 3, 8, 98], Operations: [] Exploring Operation: 39-3=36, Resulting Numbers: [8, 98, 36] Generated Node #2: [8, 98, 36] from Operation: 39-3=36 Current State: 70:[8, 98, 36], Operations: ['39-3=36'] Exploring Operation: 8+98=106, Resulting Numbers: [36, 106] Generated Node #3: [36, 106] from Operation: 8+98=106 Current State: 70:[36, 106], Operations: ['39-3=36', '8+98=106'] Exploring Operation: 106-36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 16, 37, 31 ]
97
[ "13+16=29", "37+31=68", "29+68=97" ]
Current State: 97:[13, 16, 37, 31], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [37, 31, 29] Generated Node #2: [37, 31, 29] from Operation: 13+16=29 Current State: 97:[37, 31, 29], Operations: ['13+16=29'] Exploring Operation: 37+31=68, Resulting Numbers: [29, 68] Generated Node #3: [29, 68] from Operation: 37+31=68 Current State: 97:[29, 68], Operations: ['13+16=29', '37+31=68'] Exploring Operation: 29+68=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 82, 10, 69 ]
33
[ "82-10=72", "72-69=3", "11*3=33" ]
Current State: 33:[11, 82, 10, 69], Operations: [] Exploring Operation: 82-10=72, Resulting Numbers: [11, 69, 72] Generated Node #2: [11, 69, 72] from Operation: 82-10=72 Current State: 33:[11, 69, 72], Operations: ['82-10=72'] Exploring Operation: 72-69=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 72-69=3 Current State: 33:[11, 3], Operations: ['82-10=72', '72-69=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 26, 47, 38 ]
54
[ "71-26=45", "47-38=9", "45+9=54" ]
Current State: 54:[71, 26, 47, 38], Operations: [] Exploring Operation: 71-26=45, Resulting Numbers: [47, 38, 45] Generated Node #2: [47, 38, 45] from Operation: 71-26=45 Current State: 54:[47, 38, 45], Operations: ['71-26=45'] Exploring Operation: 47-38=9, Resulting Numbers: [45, 9] Generated Node #3: [45, 9] from Operation: 47-38=9 Current State: 54:[45, 9], Operations: ['71-26=45', '47-38=9'] Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 52, 46, 40, 56 ]
58
[ "52+40=92", "92/46=2", "56+2=58" ]
Current State: 58:[52, 46, 40, 56], Operations: [] Exploring Operation: 52+40=92, Resulting Numbers: [46, 56, 92] Generated Node #2: [46, 56, 92] from Operation: 52+40=92 Current State: 58:[46, 56, 92], Operations: ['52+40=92'] Exploring Operation: 92/46=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 92/46=2 Current State: 58:[56, 2], Operations: ['52+40=92', '92/46=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 60, 63, 40 ]
48
[ "56-40=16", "63-60=3", "16*3=48" ]
Current State: 48:[56, 60, 63, 40], Operations: [] Exploring Operation: 56-40=16, Resulting Numbers: [60, 63, 16] Generated Node #2: [60, 63, 16] from Operation: 56-40=16 Current State: 48:[60, 63, 16], Operations: ['56-40=16'] Exploring Operation: 63-60=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 63-60=3 Current State: 48:[16, 3], Operations: ['56-40=16', '63-60=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 91, 19, 95, 36 ]
97
[ "91-19=72", "72/36=2", "95+2=97" ]
Current State: 97:[91, 19, 95, 36], Operations: [] Exploring Operation: 91-19=72, Resulting Numbers: [95, 36, 72] Generated Node #2: [95, 36, 72] from Operation: 91-19=72 Current State: 97:[95, 36, 72], Operations: ['91-19=72'] Exploring Operation: 72/36=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 72/36=2 Current State: 97:[95, 2], Operations: ['91-19=72', '72/36=2'] Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 46, 35, 57, 83 ]
42
[ "57+83=140", "140/35=4", "46-4=42" ]
Current State: 42:[46, 35, 57, 83], Operations: [] Exploring Operation: 57+83=140, Resulting Numbers: [46, 35, 140] Generated Node #2: [46, 35, 140] from Operation: 57+83=140 Current State: 42:[46, 35, 140], Operations: ['57+83=140'] Exploring Operation: 140/35=4, Resulting Numbers: [46, 4] Generated Node #3: [46, 4] from Operation: 140/35=4 Current State: 42:[46, 4], Operations: ['57+83=140', '140/35=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 50, 44, 42, 60 ]
79
[ "50*42=2100", "2100/60=35", "44+35=79" ]
Current State: 79:[50, 44, 42, 60], Operations: [] Exploring Operation: 50*42=2100, Resulting Numbers: [44, 60, 2100] Generated Node #2: [44, 60, 2100] from Operation: 50*42=2100 Current State: 79:[44, 60, 2100], Operations: ['50*42=2100'] Exploring Operation: 2100/60=35, Resulting Numbers: [44, 35] Generated Node #3: [44, 35] from Operation: 2100/60=35 Current State: 79:[44, 35], Operations: ['50*42=2100', '2100/60=35'] Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 22, 69, 85, 24 ]
53
[ "24-22=2", "69*2=138", "138-85=53" ]
Current State: 53:[22, 69, 85, 24], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [69, 85, 2] Generated Node #2: [69, 85, 2] from Operation: 24-22=2 Current State: 53:[69, 85, 2], Operations: ['24-22=2'] Exploring Operation: 69*2=138, Resulting Numbers: [85, 138] Generated Node #3: [85, 138] from Operation: 69*2=138 Current State: 53:[85, 138], Operations: ['24-22=2', '69*2=138'] Exploring Operation: 138-85=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 81, 24, 13, 95 ]
51
[ "81-24=57", "13+95=108", "108-57=51" ]
Current State: 51:[81, 24, 13, 95], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [13, 95, 57] Generated Node #2: [13, 95, 57] from Operation: 81-24=57 Current State: 51:[13, 95, 57], Operations: ['81-24=57'] Exploring Operation: 13+95=108, Resulting Numbers: [57, 108] Generated Node #3: [57, 108] from Operation: 13+95=108 Current State: 51:[57, 108], Operations: ['81-24=57', '13+95=108'] Exploring Operation: 108-57=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 35, 3, 67, 5 ]
46
[ "35*3=105", "105/5=21", "67-21=46" ]
Current State: 46:[35, 3, 67, 5], Operations: [] Exploring Operation: 35*3=105, Resulting Numbers: [67, 5, 105] Generated Node #2: [67, 5, 105] from Operation: 35*3=105 Current State: 46:[67, 5, 105], Operations: ['35*3=105'] Exploring Operation: 105/5=21, Resulting Numbers: [67, 21] Generated Node #3: [67, 21] from Operation: 105/5=21 Current State: 46:[67, 21], Operations: ['35*3=105', '105/5=21'] Exploring Operation: 67-21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 5, 3, 51, 93 ]
44
[ "5-3=2", "93-51=42", "2+42=44" ]
Current State: 44:[5, 3, 51, 93], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [51, 93, 2] Generated Node #2: [51, 93, 2] from Operation: 5-3=2 Current State: 44:[51, 93, 2], Operations: ['5-3=2'] Exploring Operation: 93-51=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 93-51=42 Current State: 44:[2, 42], Operations: ['5-3=2', '93-51=42'] Exploring Operation: 2+42=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 23, 74, 37 ]
75
[ "50+23=73", "74/37=2", "73+2=75" ]
Current State: 75:[50, 23, 74, 37], Operations: [] Exploring Operation: 50+23=73, Resulting Numbers: [74, 37, 73] Generated Node #2: [74, 37, 73] from Operation: 50+23=73 Current State: 75:[74, 37, 73], Operations: ['50+23=73'] Exploring Operation: 74/37=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 74/37=2 Current State: 75:[73, 2], Operations: ['50+23=73', '74/37=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 75, 12, 27 ]
81
[ "12+27=39", "4*39=156", "156-75=81" ]
Current State: 81:[4, 75, 12, 27], Operations: [] Exploring Operation: 12+27=39, Resulting Numbers: [4, 75, 39] Generated Node #2: [4, 75, 39] from Operation: 12+27=39 Current State: 81:[4, 75, 39], Operations: ['12+27=39'] Exploring Operation: 4*39=156, Resulting Numbers: [75, 156] Generated Node #3: [75, 156] from Operation: 4*39=156 Current State: 81:[75, 156], Operations: ['12+27=39', '4*39=156'] Exploring Operation: 156-75=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 91, 5, 74, 41 ]
29
[ "91-5=86", "74+41=115", "115-86=29" ]
Current State: 29:[91, 5, 74, 41], Operations: [] Exploring Operation: 91-5=86, Resulting Numbers: [74, 41, 86] Generated Node #2: [74, 41, 86] from Operation: 91-5=86 Current State: 29:[74, 41, 86], Operations: ['91-5=86'] Exploring Operation: 74+41=115, Resulting Numbers: [86, 115] Generated Node #3: [86, 115] from Operation: 74+41=115 Current State: 29:[86, 115], Operations: ['91-5=86', '74+41=115'] Exploring Operation: 115-86=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 22, 57, 29, 35 ]
99
[ "57-22=35", "29+35=64", "35+64=99" ]
Current State: 99:[22, 57, 29, 35], Operations: [] Exploring Operation: 57-22=35, Resulting Numbers: [29, 35, 35] Generated Node #2: [29, 35, 35] from Operation: 57-22=35 Current State: 99:[29, 35, 35], Operations: ['57-22=35'] Exploring Operation: 29+35=64, Resulting Numbers: [64] 64,99 equal: Goal Reached Exploring Operation: 35+64=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 14, 83, 78 ]
47
[ "14*78=1092", "83+1092=1175", "1175/25=47" ]
Current State: 47:[25, 14, 83, 78], Operations: [] Exploring Operation: 14*78=1092, Resulting Numbers: [25, 83, 1092] Generated Node #2: [25, 83, 1092] from Operation: 14*78=1092 Current State: 47:[25, 83, 1092], Operations: ['14*78=1092'] Exploring Operation: 83+1092=1175, Resulting Numbers: [25, 1175] Generated Node #3: [25, 1175] from Operation: 83+1092=1175 Current State: 47:[25, 1175], Operations: ['14*78=1092', '83+1092=1175'] Exploring Operation: 1175/25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 73, 75, 84 ]
70
[ "84-49=35", "75-73=2", "35*2=70" ]
Current State: 70:[49, 73, 75, 84], Operations: [] Exploring Operation: 84-49=35, Resulting Numbers: [73, 75, 35] Generated Node #2: [73, 75, 35] from Operation: 84-49=35 Current State: 70:[73, 75, 35], Operations: ['84-49=35'] Exploring Operation: 75-73=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 75-73=2 Current State: 70:[35, 2], Operations: ['84-49=35', '75-73=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 36, 61, 27, 39 ]
70
[ "39-36=3", "27/3=9", "61+9=70" ]
Current State: 70:[36, 61, 27, 39], Operations: [] Exploring Operation: 39-36=3, Resulting Numbers: [61, 27, 3] Generated Node #2: [61, 27, 3] from Operation: 39-36=3 Current State: 70:[61, 27, 3], Operations: ['39-36=3'] Exploring Operation: 27/3=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 27/3=9 Current State: 70:[61, 9], Operations: ['39-36=3', '27/3=9'] Exploring Operation: 61+9=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 55, 24, 89 ]
13
[ "55-3=52", "89-24=65", "65-52=13" ]
Current State: 13:[3, 55, 24, 89], Operations: [] Exploring Operation: 55-3=52, Resulting Numbers: [24, 89, 52] Generated Node #2: [24, 89, 52] from Operation: 55-3=52 Current State: 13:[24, 89, 52], Operations: ['55-3=52'] Exploring Operation: 89-24=65, Resulting Numbers: [52, 65] Generated Node #3: [52, 65] from Operation: 89-24=65 Current State: 13:[52, 65], Operations: ['55-3=52', '89-24=65'] Exploring Operation: 65-52=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 51, 51, 59 ]
18
[ "51-51=0", "59*0=0", "18+0=18" ]
Current State: 18:[18, 51, 51, 59], Operations: [] Exploring Operation: 51-51=0, Resulting Numbers: [18, 59, 0] Generated Node #2: [18, 59, 0] from Operation: 51-51=0 Current State: 18:[18, 59, 0], Operations: ['51-51=0'] Exploring Operation: 59*0=0, Resulting Numbers: [18, 0] Generated Node #3: [18, 0] from Operation: 59*0=0 Current State: 18:[18, 0], Operations: ['51-51=0', '59*0=0'] Exploring Operation: 18+0=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 86, 54, 28, 2 ]
58
[ "86-54=32", "28-2=26", "32+26=58" ]
Current State: 58:[86, 54, 28, 2], Operations: [] Exploring Operation: 86-54=32, Resulting Numbers: [28, 2, 32] Generated Node #2: [28, 2, 32] from Operation: 86-54=32 Current State: 58:[28, 2, 32], Operations: ['86-54=32'] Exploring Operation: 28-2=26, Resulting Numbers: [32, 26] Generated Node #3: [32, 26] from Operation: 28-2=26 Current State: 58:[32, 26], Operations: ['86-54=32', '28-2=26'] Exploring Operation: 32+26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 69, 42, 4, 49 ]
19
[ "69-42=27", "49+27=76", "76/4=19" ]
Current State: 19:[69, 42, 4, 49], Operations: [] Exploring Operation: 69-42=27, Resulting Numbers: [4, 49, 27] Generated Node #2: [4, 49, 27] from Operation: 69-42=27 Current State: 19:[4, 49, 27], Operations: ['69-42=27'] Exploring Operation: 49+27=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 49+27=76 Current State: 19:[4, 76], Operations: ['69-42=27', '49+27=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 22, 1, 13, 15 ]
91
[ "22*1=22", "22-15=7", "13*7=91" ]
Current State: 91:[22, 1, 13, 15], Operations: [] Exploring Operation: 22*1=22, Resulting Numbers: [13, 15, 22] Generated Node #2: [13, 15, 22] from Operation: 22*1=22 Current State: 91:[13, 15, 22], Operations: ['22*1=22'] Exploring Operation: 22-15=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 22-15=7 Current State: 91:[13, 7], Operations: ['22*1=22', '22-15=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 9, 81, 83, 64 ]
10
[ "81/9=9", "83-64=19", "19-9=10" ]
Current State: 10:[9, 81, 83, 64], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [83, 64, 9] Generated Node #2: [83, 64, 9] from Operation: 81/9=9 Current State: 10:[83, 64, 9], Operations: ['81/9=9'] Exploring Operation: 83-64=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 83-64=19 Current State: 10:[9, 19], Operations: ['81/9=9', '83-64=19'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 92, 61, 23, 10 ]
21
[ "92/23=4", "10*4=40", "61-40=21" ]
Current State: 21:[92, 61, 23, 10], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [61, 10, 4] Generated Node #2: [61, 10, 4] from Operation: 92/23=4 Current State: 21:[61, 10, 4], Operations: ['92/23=4'] Exploring Operation: 10*4=40, Resulting Numbers: [61, 40] Generated Node #3: [61, 40] from Operation: 10*4=40 Current State: 21:[61, 40], Operations: ['92/23=4', '10*4=40'] Exploring Operation: 61-40=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 8, 52, 61, 48 ]
93
[ "52-48=4", "8*4=32", "61+32=93" ]
Current State: 93:[8, 52, 61, 48], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [8, 61, 4] Generated Node #2: [8, 61, 4] from Operation: 52-48=4 Current State: 93:[8, 61, 4], Operations: ['52-48=4'] Exploring Operation: 8*4=32, Resulting Numbers: [61, 32] Generated Node #3: [61, 32] from Operation: 8*4=32 Current State: 93:[61, 32], Operations: ['52-48=4', '8*4=32'] Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 87, 12, 86, 10 ]
44
[ "12-10=2", "86/2=43", "87-43=44" ]
Current State: 44:[87, 12, 86, 10], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [87, 86, 2] Generated Node #2: [87, 86, 2] from Operation: 12-10=2 Current State: 44:[87, 86, 2], Operations: ['12-10=2'] Exploring Operation: 86/2=43, Resulting Numbers: [87, 43] Generated Node #3: [87, 43] from Operation: 86/2=43 Current State: 44:[87, 43], Operations: ['12-10=2', '86/2=43'] Exploring Operation: 87-43=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 12, 88, 69, 50 ]
81
[ "12+88=100", "69-50=19", "100-19=81" ]
Current State: 81:[12, 88, 69, 50], Operations: [] Exploring Operation: 12+88=100, Resulting Numbers: [69, 50, 100] Generated Node #2: [69, 50, 100] from Operation: 12+88=100 Current State: 81:[69, 50, 100], Operations: ['12+88=100'] Exploring Operation: 69-50=19, Resulting Numbers: [100, 19] Generated Node #3: [100, 19] from Operation: 69-50=19 Current State: 81:[100, 19], Operations: ['12+88=100', '69-50=19'] Exploring Operation: 100-19=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 66, 49, 22 ]
48
[ "66*49=3234", "3234/22=147", "147-99=48" ]
Current State: 48:[99, 66, 49, 22], Operations: [] Exploring Operation: 66*49=3234, Resulting Numbers: [99, 22, 3234] Generated Node #2: [99, 22, 3234] from Operation: 66*49=3234 Current State: 48:[99, 22, 3234], Operations: ['66*49=3234'] Exploring Operation: 3234/22=147, Resulting Numbers: [99, 147] Generated Node #3: [99, 147] from Operation: 3234/22=147 Current State: 48:[99, 147], Operations: ['66*49=3234', '3234/22=147'] Exploring Operation: 147-99=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 98, 75, 49, 53 ]
44
[ "98/49=2", "75-53=22", "2*22=44" ]
Current State: 44:[98, 75, 49, 53], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [75, 53, 2] Generated Node #2: [75, 53, 2] from Operation: 98/49=2 Current State: 44:[75, 53, 2], Operations: ['98/49=2'] Exploring Operation: 75-53=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 75-53=22 Current State: 44:[2, 22], Operations: ['98/49=2', '75-53=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 30, 48, 60, 66 ]
58
[ "30+66=96", "96/48=2", "60-2=58" ]
Current State: 58:[30, 48, 60, 66], Operations: [] Exploring Operation: 30+66=96, Resulting Numbers: [48, 60, 96] Generated Node #2: [48, 60, 96] from Operation: 30+66=96 Current State: 58:[48, 60, 96], Operations: ['30+66=96'] Exploring Operation: 96/48=2, Resulting Numbers: [60, 2] Generated Node #3: [60, 2] from Operation: 96/48=2 Current State: 58:[60, 2], Operations: ['30+66=96', '96/48=2'] Exploring Operation: 60-2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 98, 20, 56, 71 ]
63
[ "98-20=78", "71-56=15", "78-15=63" ]
Current State: 63:[98, 20, 56, 71], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [56, 71, 78] Generated Node #2: [56, 71, 78] from Operation: 98-20=78 Current State: 63:[56, 71, 78], Operations: ['98-20=78'] Exploring Operation: 71-56=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 71-56=15 Current State: 63:[78, 15], Operations: ['98-20=78', '71-56=15'] Exploring Operation: 78-15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 49, 62, 52, 16 ]
55
[ "62-49=13", "52+16=68", "68-13=55" ]
Current State: 55:[49, 62, 52, 16], Operations: [] Exploring Operation: 62-49=13, Resulting Numbers: [52, 16, 13] Generated Node #2: [52, 16, 13] from Operation: 62-49=13 Current State: 55:[52, 16, 13], Operations: ['62-49=13'] Exploring Operation: 52+16=68, Resulting Numbers: [13, 68] Generated Node #3: [13, 68] from Operation: 52+16=68 Current State: 55:[13, 68], Operations: ['62-49=13', '52+16=68'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 7, 2, 54, 19 ]
63
[ "54-19=35", "2*35=70", "70-7=63" ]
Current State: 63:[7, 2, 54, 19], Operations: [] Exploring Operation: 54-19=35, Resulting Numbers: [7, 2, 35] Generated Node #2: [7, 2, 35] from Operation: 54-19=35 Current State: 63:[7, 2, 35], Operations: ['54-19=35'] Exploring Operation: 2*35=70, Resulting Numbers: [7, 70] Generated Node #3: [7, 70] from Operation: 2*35=70 Current State: 63:[7, 70], Operations: ['54-19=35', '2*35=70'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 96, 85, 24, 7 ]
13
[ "96+85=181", "24*7=168", "181-168=13" ]
Current State: 13:[96, 85, 24, 7], Operations: [] Exploring Operation: 96+85=181, Resulting Numbers: [24, 7, 181] Generated Node #2: [24, 7, 181] from Operation: 96+85=181 Current State: 13:[24, 7, 181], Operations: ['96+85=181'] Exploring Operation: 24*7=168, Resulting Numbers: [181, 168] Generated Node #3: [181, 168] from Operation: 24*7=168 Current State: 13:[181, 168], Operations: ['96+85=181', '24*7=168'] Exploring Operation: 181-168=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 21, 42, 62, 1 ]
45
[ "62+1=63", "63/21=3", "42+3=45" ]
Current State: 45:[21, 42, 62, 1], Operations: [] Exploring Operation: 62+1=63, Resulting Numbers: [21, 42, 63] Generated Node #2: [21, 42, 63] from Operation: 62+1=63 Current State: 45:[21, 42, 63], Operations: ['62+1=63'] Exploring Operation: 63/21=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 63/21=3 Current State: 45:[42, 3], Operations: ['62+1=63', '63/21=3'] Exploring Operation: 42+3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 40, 95, 81, 15 ]
40
[ "95-81=14", "15-14=1", "40*1=40" ]
Current State: 40:[40, 95, 81, 15], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [40, 15, 14] Generated Node #2: [40, 15, 14] from Operation: 95-81=14 Current State: 40:[40, 15, 14], Operations: ['95-81=14'] Exploring Operation: 15-14=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 15-14=1 Current State: 40:[40, 1], Operations: ['95-81=14', '15-14=1'] Exploring Operation: 40*1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 21, 89, 24, 7 ]
17
[ "21*24=504", "504/7=72", "89-72=17" ]
Current State: 17:[21, 89, 24, 7], Operations: [] Exploring Operation: 21*24=504, Resulting Numbers: [89, 7, 504] Generated Node #2: [89, 7, 504] from Operation: 21*24=504 Current State: 17:[89, 7, 504], Operations: ['21*24=504'] Exploring Operation: 504/7=72, Resulting Numbers: [89, 72] Generated Node #3: [89, 72] from Operation: 504/7=72 Current State: 17:[89, 72], Operations: ['21*24=504', '504/7=72'] Exploring Operation: 89-72=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 86, 61, 79 ]
55
[ "86-79=7", "42/7=6", "61-6=55" ]
Current State: 55:[42, 86, 61, 79], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [42, 61, 7] Generated Node #2: [42, 61, 7] from Operation: 86-79=7 Current State: 55:[42, 61, 7], Operations: ['86-79=7'] Exploring Operation: 42/7=6, Resulting Numbers: [61, 6] Generated Node #3: [61, 6] from Operation: 42/7=6 Current State: 55:[61, 6], Operations: ['86-79=7', '42/7=6'] Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 16, 24, 58, 9 ]
96
[ "24*58=1392", "1392/16=87", "9+87=96" ]
Current State: 96:[16, 24, 58, 9], Operations: [] Exploring Operation: 24*58=1392, Resulting Numbers: [16, 9, 1392] Generated Node #2: [16, 9, 1392] from Operation: 24*58=1392 Current State: 96:[16, 9, 1392], Operations: ['24*58=1392'] Exploring Operation: 1392/16=87, Resulting Numbers: [9, 87] Generated Node #3: [9, 87] from Operation: 1392/16=87 Current State: 96:[9, 87], Operations: ['24*58=1392', '1392/16=87'] Exploring Operation: 9+87=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 25, 15, 55, 1 ]
32
[ "15*55=825", "825/25=33", "33-1=32" ]
Current State: 32:[25, 15, 55, 1], Operations: [] Exploring Operation: 15*55=825, Resulting Numbers: [25, 1, 825] Generated Node #2: [25, 1, 825] from Operation: 15*55=825 Current State: 32:[25, 1, 825], Operations: ['15*55=825'] Exploring Operation: 825/25=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 825/25=33 Current State: 32:[1, 33], Operations: ['15*55=825', '825/25=33'] Exploring Operation: 33-1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 94, 5, 34, 23 ]
39
[ "34-23=11", "5*11=55", "94-55=39" ]
Current State: 39:[94, 5, 34, 23], Operations: [] Exploring Operation: 34-23=11, Resulting Numbers: [94, 5, 11] Generated Node #2: [94, 5, 11] from Operation: 34-23=11 Current State: 39:[94, 5, 11], Operations: ['34-23=11'] Exploring Operation: 5*11=55, Resulting Numbers: [94, 55] Generated Node #3: [94, 55] from Operation: 5*11=55 Current State: 39:[94, 55], Operations: ['34-23=11', '5*11=55'] Exploring Operation: 94-55=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 13, 25, 45 ]
15
[ "5+45=50", "50/25=2", "13+2=15" ]
Current State: 15:[5, 13, 25, 45], Operations: [] Exploring Operation: 5+45=50, Resulting Numbers: [13, 25, 50] Generated Node #2: [13, 25, 50] from Operation: 5+45=50 Current State: 15:[13, 25, 50], Operations: ['5+45=50'] Exploring Operation: 50/25=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 50/25=2 Current State: 15:[13, 2], Operations: ['5+45=50', '50/25=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 83, 11, 72 ]
58
[ "36+83=119", "72-11=61", "119-61=58" ]
Current State: 58:[36, 83, 11, 72], Operations: [] Exploring Operation: 36+83=119, Resulting Numbers: [11, 72, 119] Generated Node #2: [11, 72, 119] from Operation: 36+83=119 Current State: 58:[11, 72, 119], Operations: ['36+83=119'] Exploring Operation: 72-11=61, Resulting Numbers: [119, 61] Generated Node #3: [119, 61] from Operation: 72-11=61 Current State: 58:[119, 61], Operations: ['36+83=119', '72-11=61'] Exploring Operation: 119-61=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 44, 63, 43, 40 ]
88
[ "44*40=1760", "63-43=20", "1760/20=88" ]
Current State: 88:[44, 63, 43, 40], Operations: [] Exploring Operation: 44*40=1760, Resulting Numbers: [63, 43, 1760] Generated Node #2: [63, 43, 1760] from Operation: 44*40=1760 Current State: 88:[63, 43, 1760], Operations: ['44*40=1760'] Exploring Operation: 63-43=20, Resulting Numbers: [1760, 20] Generated Node #3: [1760, 20] from Operation: 63-43=20 Current State: 88:[1760, 20], Operations: ['44*40=1760', '63-43=20'] Exploring Operation: 1760/20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 8, 37, 47 ]
21
[ "8/2=4", "37+47=84", "84/4=21" ]
Current State: 21:[2, 8, 37, 47], Operations: [] Exploring Operation: 8/2=4, Resulting Numbers: [37, 47, 4] Generated Node #2: [37, 47, 4] from Operation: 8/2=4 Current State: 21:[37, 47, 4], Operations: ['8/2=4'] Exploring Operation: 37+47=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 37+47=84 Current State: 21:[4, 84], Operations: ['8/2=4', '37+47=84'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 62, 62, 77 ]
90
[ "13+62=75", "77-62=15", "75+15=90" ]
Current State: 90:[13, 62, 62, 77], Operations: [] Exploring Operation: 13+62=75, Resulting Numbers: [77, 75] Generated Node #2: [77, 75] from Operation: 13+62=75 Current State: 90:[77, 75], Operations: ['13+62=75'] Exploring Operation: 77-62=15, Resulting Numbers: [75, 15] Generated Node #3: [75, 15] from Operation: 77-62=15 Current State: 90:[75, 15], Operations: ['13+62=75', '77-62=15'] Exploring Operation: 75+15=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 82, 43, 84, 79 ]
72
[ "84-82=2", "79-43=36", "2*36=72" ]
Current State: 72:[82, 43, 84, 79], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [43, 79, 2] Generated Node #2: [43, 79, 2] from Operation: 84-82=2 Current State: 72:[43, 79, 2], Operations: ['84-82=2'] Exploring Operation: 79-43=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 79-43=36 Current State: 72:[2, 36], Operations: ['84-82=2', '79-43=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 52, 72, 11, 96 ]
17
[ "52+72=124", "11+96=107", "124-107=17" ]
Current State: 17:[52, 72, 11, 96], Operations: [] Exploring Operation: 52+72=124, Resulting Numbers: [11, 96, 124] Generated Node #2: [11, 96, 124] from Operation: 52+72=124 Current State: 17:[11, 96, 124], Operations: ['52+72=124'] Exploring Operation: 11+96=107, Resulting Numbers: [124, 107] Generated Node #3: [124, 107] from Operation: 11+96=107 Current State: 17:[124, 107], Operations: ['52+72=124', '11+96=107'] Exploring Operation: 124-107=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 3, 81, 41 ]
42
[ "4+81=85", "41+85=126", "126/3=42" ]
Current State: 42:[4, 3, 81, 41], Operations: [] Exploring Operation: 4+81=85, Resulting Numbers: [3, 41, 85] Generated Node #2: [3, 41, 85] from Operation: 4+81=85 Current State: 42:[3, 41, 85], Operations: ['4+81=85'] Exploring Operation: 41+85=126, Resulting Numbers: [3, 126] Generated Node #3: [3, 126] from Operation: 41+85=126 Current State: 42:[3, 126], Operations: ['4+81=85', '41+85=126'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 82, 65, 79, 45 ]
17
[ "82-65=17", "79-45=34", "34-17=17" ]
Current State: 17:[82, 65, 79, 45], Operations: [] Exploring Operation: 82-65=17, Resulting Numbers: [79, 45, 17] Generated Node #2: [79, 45, 17] from Operation: 82-65=17 Current State: 17:[79, 45, 17], Operations: ['82-65=17'] Exploring Operation: 79-45=34, Resulting Numbers: [17, 34] Generated Node #3: [17, 34] from Operation: 79-45=34 Current State: 17:[17, 34], Operations: ['82-65=17', '79-45=34'] Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 35, 2, 7 ]
34
[ "26+35=61", "7+61=68", "68/2=34" ]
Current State: 34:[26, 35, 2, 7], Operations: [] Exploring Operation: 26+35=61, Resulting Numbers: [2, 7, 61] Generated Node #2: [2, 7, 61] from Operation: 26+35=61 Current State: 34:[2, 7, 61], Operations: ['26+35=61'] Exploring Operation: 7+61=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 7+61=68 Current State: 34:[2, 68], Operations: ['26+35=61', '7+61=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 91, 49, 49, 4 ]
88
[ "91-4=87", "49/49=1", "87+1=88" ]
Current State: 88:[91, 49, 49, 4], Operations: [] Exploring Operation: 91-4=87, Resulting Numbers: [49, 49, 87] Generated Node #2: [49, 49, 87] from Operation: 91-4=87 Current State: 88:[49, 49, 87], Operations: ['91-4=87'] Exploring Operation: 49/49=1, Resulting Numbers: [87, 1] Generated Node #3: [87, 1] from Operation: 49/49=1 Current State: 88:[87, 1], Operations: ['91-4=87', '49/49=1'] Exploring Operation: 87+1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 25, 71, 98 ]
10
[ "81+71=152", "98+152=250", "250/25=10" ]
Current State: 10:[81, 25, 71, 98], Operations: [] Exploring Operation: 81+71=152, Resulting Numbers: [25, 98, 152] Generated Node #2: [25, 98, 152] from Operation: 81+71=152 Current State: 10:[25, 98, 152], Operations: ['81+71=152'] Exploring Operation: 98+152=250, Resulting Numbers: [25, 250] Generated Node #3: [25, 250] from Operation: 98+152=250 Current State: 10:[25, 250], Operations: ['81+71=152', '98+152=250'] Exploring Operation: 250/25=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 96, 8, 50, 92 ]
62
[ "96+8=104", "92-50=42", "104-42=62" ]
Current State: 62:[96, 8, 50, 92], Operations: [] Exploring Operation: 96+8=104, Resulting Numbers: [50, 92, 104] Generated Node #2: [50, 92, 104] from Operation: 96+8=104 Current State: 62:[50, 92, 104], Operations: ['96+8=104'] Exploring Operation: 92-50=42, Resulting Numbers: [104, 42] Generated Node #3: [104, 42] from Operation: 92-50=42 Current State: 62:[104, 42], Operations: ['96+8=104', '92-50=42'] Exploring Operation: 104-42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 22, 2, 41, 57 ]
71
[ "41+57=98", "98/2=49", "22+49=71" ]
Current State: 71:[22, 2, 41, 57], Operations: [] Exploring Operation: 41+57=98, Resulting Numbers: [22, 2, 98] Generated Node #2: [22, 2, 98] from Operation: 41+57=98 Current State: 71:[22, 2, 98], Operations: ['41+57=98'] Exploring Operation: 98/2=49, Resulting Numbers: [22, 49] Generated Node #3: [22, 49] from Operation: 98/2=49 Current State: 71:[22, 49], Operations: ['41+57=98', '98/2=49'] Exploring Operation: 22+49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 72, 74, 79, 52 ]
53
[ "74-72=2", "52/2=26", "79-26=53" ]
Current State: 53:[72, 74, 79, 52], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [79, 52, 2] Generated Node #2: [79, 52, 2] from Operation: 74-72=2 Current State: 53:[79, 52, 2], Operations: ['74-72=2'] Exploring Operation: 52/2=26, Resulting Numbers: [79, 26] Generated Node #3: [79, 26] from Operation: 52/2=26 Current State: 53:[79, 26], Operations: ['74-72=2', '52/2=26'] Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 1, 13, 4, 51 ]
99
[ "13-1=12", "4*12=48", "51+48=99" ]
Current State: 99:[1, 13, 4, 51], Operations: [] Exploring Operation: 13-1=12, Resulting Numbers: [4, 51, 12] Generated Node #2: [4, 51, 12] from Operation: 13-1=12 Current State: 99:[4, 51, 12], Operations: ['13-1=12'] Exploring Operation: 4*12=48, Resulting Numbers: [51, 48] Generated Node #3: [51, 48] from Operation: 4*12=48 Current State: 99:[51, 48], Operations: ['13-1=12', '4*12=48'] Exploring Operation: 51+48=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 59, 31, 4, 67 ]
33
[ "67-59=8", "8/4=2", "31+2=33" ]
Current State: 33:[59, 31, 4, 67], Operations: [] Exploring Operation: 67-59=8, Resulting Numbers: [31, 4, 8] Generated Node #2: [31, 4, 8] from Operation: 67-59=8 Current State: 33:[31, 4, 8], Operations: ['67-59=8'] Exploring Operation: 8/4=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 8/4=2 Current State: 33:[31, 2], Operations: ['67-59=8', '8/4=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 28, 17, 90, 34 ]
45
[ "28-17=11", "90-34=56", "56-11=45" ]
Current State: 45:[28, 17, 90, 34], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [90, 34, 11] Generated Node #2: [90, 34, 11] from Operation: 28-17=11 Current State: 45:[90, 34, 11], Operations: ['28-17=11'] Exploring Operation: 90-34=56, Resulting Numbers: [11, 56] Generated Node #3: [11, 56] from Operation: 90-34=56 Current State: 45:[11, 56], Operations: ['28-17=11', '90-34=56'] Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 79, 95, 28, 1 ]
11
[ "95-79=16", "28-1=27", "27-16=11" ]
Current State: 11:[79, 95, 28, 1], Operations: [] Exploring Operation: 95-79=16, Resulting Numbers: [28, 1, 16] Generated Node #2: [28, 1, 16] from Operation: 95-79=16 Current State: 11:[28, 1, 16], Operations: ['95-79=16'] Exploring Operation: 28-1=27, Resulting Numbers: [16, 27] Generated Node #3: [16, 27] from Operation: 28-1=27 Current State: 11:[16, 27], Operations: ['95-79=16', '28-1=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 55, 21, 76, 98 ]
56
[ "55-21=34", "98-76=22", "34+22=56" ]
Current State: 56:[55, 21, 76, 98], Operations: [] Exploring Operation: 55-21=34, Resulting Numbers: [76, 98, 34] Generated Node #2: [76, 98, 34] from Operation: 55-21=34 Current State: 56:[76, 98, 34], Operations: ['55-21=34'] Exploring Operation: 98-76=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 98-76=22 Current State: 56:[34, 22], Operations: ['55-21=34', '98-76=22'] Exploring Operation: 34+22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 6, 70, 38 ]
29
[ "38-36=2", "70/2=35", "35-6=29" ]
Current State: 29:[36, 6, 70, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [6, 70, 2] Generated Node #2: [6, 70, 2] from Operation: 38-36=2 Current State: 29:[6, 70, 2], Operations: ['38-36=2'] Exploring Operation: 70/2=35, Resulting Numbers: [6, 35] Generated Node #3: [6, 35] from Operation: 70/2=35 Current State: 29:[6, 35], Operations: ['38-36=2', '70/2=35'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 2, 95, 12, 46 ]
86
[ "95-46=49", "2*49=98", "98-12=86" ]
Current State: 86:[2, 95, 12, 46], Operations: [] Exploring Operation: 95-46=49, Resulting Numbers: [2, 12, 49] Generated Node #2: [2, 12, 49] from Operation: 95-46=49 Current State: 86:[2, 12, 49], Operations: ['95-46=49'] Exploring Operation: 2*49=98, Resulting Numbers: [12, 98] Generated Node #3: [12, 98] from Operation: 2*49=98 Current State: 86:[12, 98], Operations: ['95-46=49', '2*49=98'] Exploring Operation: 98-12=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 72, 55, 96, 51 ]
93
[ "72-55=17", "51/17=3", "96-3=93" ]
Current State: 93:[72, 55, 96, 51], Operations: [] Exploring Operation: 72-55=17, Resulting Numbers: [96, 51, 17] Generated Node #2: [96, 51, 17] from Operation: 72-55=17 Current State: 93:[96, 51, 17], Operations: ['72-55=17'] Exploring Operation: 51/17=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 51/17=3 Current State: 93:[96, 3], Operations: ['72-55=17', '51/17=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 28, 49, 35, 68 ]
96
[ "49*68=3332", "28+3332=3360", "3360/35=96" ]
Current State: 96:[28, 49, 35, 68], Operations: [] Exploring Operation: 49*68=3332, Resulting Numbers: [28, 35, 3332] Generated Node #2: [28, 35, 3332] from Operation: 49*68=3332 Current State: 96:[28, 35, 3332], Operations: ['49*68=3332'] Exploring Operation: 28+3332=3360, Resulting Numbers: [35, 3360] Generated Node #3: [35, 3360] from Operation: 28+3332=3360 Current State: 96:[35, 3360], Operations: ['49*68=3332', '28+3332=3360'] Exploring Operation: 3360/35=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 58, 54, 95, 79 ]
18
[ "58*54=3132", "95+79=174", "3132/174=18" ]
Current State: 18:[58, 54, 95, 79], Operations: [] Exploring Operation: 58*54=3132, Resulting Numbers: [95, 79, 3132] Generated Node #2: [95, 79, 3132] from Operation: 58*54=3132 Current State: 18:[95, 79, 3132], Operations: ['58*54=3132'] Exploring Operation: 95+79=174, Resulting Numbers: [3132, 174] Generated Node #3: [3132, 174] from Operation: 95+79=174 Current State: 18:[3132, 174], Operations: ['58*54=3132', '95+79=174'] Exploring Operation: 3132/174=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 36, 42, 3 ]
96
[ "15+36=51", "42+3=45", "51+45=96" ]
Current State: 96:[15, 36, 42, 3], Operations: [] Exploring Operation: 15+36=51, Resulting Numbers: [42, 3, 51] Generated Node #2: [42, 3, 51] from Operation: 15+36=51 Current State: 96:[42, 3, 51], Operations: ['15+36=51'] Exploring Operation: 42+3=45, Resulting Numbers: [51, 45] Generated Node #3: [51, 45] from Operation: 42+3=45 Current State: 96:[51, 45], Operations: ['15+36=51', '42+3=45'] Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 40, 45, 19, 86 ]
100
[ "45-40=5", "19+86=105", "105-5=100" ]
Current State: 100:[40, 45, 19, 86], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [19, 86, 5] Generated Node #2: [19, 86, 5] from Operation: 45-40=5 Current State: 100:[19, 86, 5], Operations: ['45-40=5'] Exploring Operation: 19+86=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 19+86=105 Current State: 100:[5, 105], Operations: ['45-40=5', '19+86=105'] Exploring Operation: 105-5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 69, 83, 70 ]
98
[ "83-69=14", "2*14=28", "70+28=98" ]
Current State: 98:[2, 69, 83, 70], Operations: [] Exploring Operation: 83-69=14, Resulting Numbers: [2, 70, 14] Generated Node #2: [2, 70, 14] from Operation: 83-69=14 Current State: 98:[2, 70, 14], Operations: ['83-69=14'] Exploring Operation: 2*14=28, Resulting Numbers: [70, 28] Generated Node #3: [70, 28] from Operation: 2*14=28 Current State: 98:[70, 28], Operations: ['83-69=14', '2*14=28'] Exploring Operation: 70+28=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 82, 70, 38, 96 ]
56
[ "82+38=120", "70*96=6720", "6720/120=56" ]
Current State: 56:[82, 70, 38, 96], Operations: [] Exploring Operation: 82+38=120, Resulting Numbers: [70, 96, 120] Generated Node #2: [70, 96, 120] from Operation: 82+38=120 Current State: 56:[70, 96, 120], Operations: ['82+38=120'] Exploring Operation: 70*96=6720, Resulting Numbers: [120, 6720] Generated Node #3: [120, 6720] from Operation: 70*96=6720 Current State: 56:[120, 6720], Operations: ['82+38=120', '70*96=6720'] Exploring Operation: 6720/120=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 23, 73, 8, 71 ]
19
[ "73-71=2", "8/2=4", "23-4=19" ]
Current State: 19:[23, 73, 8, 71], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [23, 8, 2] Generated Node #2: [23, 8, 2] from Operation: 73-71=2 Current State: 19:[23, 8, 2], Operations: ['73-71=2'] Exploring Operation: 8/2=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 8/2=4 Current State: 19:[23, 4], Operations: ['73-71=2', '8/2=4'] Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 85, 51, 31, 53 ]
51
[ "85-31=54", "54-53=1", "51*1=51" ]
Current State: 51:[85, 51, 31, 53], Operations: [] Exploring Operation: 85-31=54, Resulting Numbers: [51, 53, 54] Generated Node #2: [51, 53, 54] from Operation: 85-31=54 Current State: 51:[51, 53, 54], Operations: ['85-31=54'] Exploring Operation: 54-53=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 54-53=1 Current State: 51:[51, 1], Operations: ['85-31=54', '54-53=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 87, 23, 2, 75 ]
22
[ "87-23=64", "75-64=11", "2*11=22" ]
Current State: 22:[87, 23, 2, 75], Operations: [] Exploring Operation: 87-23=64, Resulting Numbers: [2, 75, 64] Generated Node #2: [2, 75, 64] from Operation: 87-23=64 Current State: 22:[2, 75, 64], Operations: ['87-23=64'] Exploring Operation: 75-64=11, Resulting Numbers: [2, 11] Generated Node #3: [2, 11] from Operation: 75-64=11 Current State: 22:[2, 11], Operations: ['87-23=64', '75-64=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 35, 94, 31 ]
12
[ "97-94=3", "35-31=4", "3*4=12" ]
Current State: 12:[97, 35, 94, 31], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [35, 31, 3] Generated Node #2: [35, 31, 3] from Operation: 97-94=3 Current State: 12:[35, 31, 3], Operations: ['97-94=3'] Exploring Operation: 35-31=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 35-31=4 Current State: 12:[3, 4], Operations: ['97-94=3', '35-31=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 95, 82, 74, 93 ]
45
[ "95-93=2", "74/2=37", "82-37=45" ]
Current State: 45:[95, 82, 74, 93], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [82, 74, 2] Generated Node #2: [82, 74, 2] from Operation: 95-93=2 Current State: 45:[82, 74, 2], Operations: ['95-93=2'] Exploring Operation: 74/2=37, Resulting Numbers: [82, 37] Generated Node #3: [82, 37] from Operation: 74/2=37 Current State: 45:[82, 37], Operations: ['95-93=2', '74/2=37'] Exploring Operation: 82-37=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 99, 81, 56 ]
86
[ "99-48=51", "81+56=137", "137-51=86" ]
Current State: 86:[48, 99, 81, 56], Operations: [] Exploring Operation: 99-48=51, Resulting Numbers: [81, 56, 51] Generated Node #2: [81, 56, 51] from Operation: 99-48=51 Current State: 86:[81, 56, 51], Operations: ['99-48=51'] Exploring Operation: 81+56=137, Resulting Numbers: [51, 137] Generated Node #3: [51, 137] from Operation: 81+56=137 Current State: 86:[51, 137], Operations: ['99-48=51', '81+56=137'] Exploring Operation: 137-51=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 68, 70, 39, 92 ]
26
[ "68+70=138", "39*92=3588", "3588/138=26" ]
Current State: 26:[68, 70, 39, 92], Operations: [] Exploring Operation: 68+70=138, Resulting Numbers: [39, 92, 138] Generated Node #2: [39, 92, 138] from Operation: 68+70=138 Current State: 26:[39, 92, 138], Operations: ['68+70=138'] Exploring Operation: 39*92=3588, Resulting Numbers: [138, 3588] Generated Node #3: [138, 3588] from Operation: 39*92=3588 Current State: 26:[138, 3588], Operations: ['68+70=138', '39*92=3588'] Exploring Operation: 3588/138=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 64, 79, 95, 17 ]
97
[ "79-64=15", "95+17=112", "112-15=97" ]
Current State: 97:[64, 79, 95, 17], Operations: [] Exploring Operation: 79-64=15, Resulting Numbers: [95, 17, 15] Generated Node #2: [95, 17, 15] from Operation: 79-64=15 Current State: 97:[95, 17, 15], Operations: ['79-64=15'] Exploring Operation: 95+17=112, Resulting Numbers: [15, 112] Generated Node #3: [15, 112] from Operation: 95+17=112 Current State: 97:[15, 112], Operations: ['79-64=15', '95+17=112'] Exploring Operation: 112-15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 17, 4, 32, 54 ]
63
[ "17+54=71", "32/4=8", "71-8=63" ]
Current State: 63:[17, 4, 32, 54], Operations: [] Exploring Operation: 17+54=71, Resulting Numbers: [4, 32, 71] Generated Node #2: [4, 32, 71] from Operation: 17+54=71 Current State: 63:[4, 32, 71], Operations: ['17+54=71'] Exploring Operation: 32/4=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 32/4=8 Current State: 63:[71, 8], Operations: ['17+54=71', '32/4=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 85, 99, 69, 2 ]
41
[ "99-85=14", "2*14=28", "69-28=41" ]
Current State: 41:[85, 99, 69, 2], Operations: [] Exploring Operation: 99-85=14, Resulting Numbers: [69, 2, 14] Generated Node #2: [69, 2, 14] from Operation: 99-85=14 Current State: 41:[69, 2, 14], Operations: ['99-85=14'] Exploring Operation: 2*14=28, Resulting Numbers: [69, 28] Generated Node #3: [69, 28] from Operation: 2*14=28 Current State: 41:[69, 28], Operations: ['99-85=14', '2*14=28'] Exploring Operation: 69-28=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 20, 32, 68, 36 ]
92
[ "32-20=12", "68+36=104", "104-12=92" ]
Current State: 92:[20, 32, 68, 36], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [68, 36, 12] Generated Node #2: [68, 36, 12] from Operation: 32-20=12 Current State: 92:[68, 36, 12], Operations: ['32-20=12'] Exploring Operation: 68+36=104, Resulting Numbers: [12, 104] Generated Node #3: [12, 104] from Operation: 68+36=104 Current State: 92:[12, 104], Operations: ['32-20=12', '68+36=104'] Exploring Operation: 104-12=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 25, 32, 43, 54 ]
40
[ "25+32=57", "43+54=97", "97-57=40" ]
Current State: 40:[25, 32, 43, 54], Operations: [] Exploring Operation: 25+32=57, Resulting Numbers: [43, 54, 57] Generated Node #2: [43, 54, 57] from Operation: 25+32=57 Current State: 40:[43, 54, 57], Operations: ['25+32=57'] Exploring Operation: 43+54=97, Resulting Numbers: [57, 97] Generated Node #3: [57, 97] from Operation: 43+54=97 Current State: 40:[57, 97], Operations: ['25+32=57', '43+54=97'] Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 43, 57, 55 ]
52
[ "62-43=19", "57/19=3", "55-3=52" ]
Current State: 52:[62, 43, 57, 55], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [57, 55, 19] Generated Node #2: [57, 55, 19] from Operation: 62-43=19 Current State: 52:[57, 55, 19], Operations: ['62-43=19'] Exploring Operation: 57/19=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 57/19=3 Current State: 52:[55, 3], Operations: ['62-43=19', '57/19=3'] Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 80, 5, 73, 35 ]
82
[ "80-35=45", "45/5=9", "73+9=82" ]
Current State: 82:[80, 5, 73, 35], Operations: [] Exploring Operation: 80-35=45, Resulting Numbers: [5, 73, 45] Generated Node #2: [5, 73, 45] from Operation: 80-35=45 Current State: 82:[5, 73, 45], Operations: ['80-35=45'] Exploring Operation: 45/5=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 45/5=9 Current State: 82:[73, 9], Operations: ['80-35=45', '45/5=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 2, 10, 2, 9 ]
76
[ "2+2=4", "10+9=19", "4*19=76" ]
Current State: 76:[2, 10, 2, 9], Operations: [] Exploring Operation: 2+2=4, Resulting Numbers: [10, 9, 4] Generated Node #2: [10, 9, 4] from Operation: 2+2=4 Current State: 76:[10, 9, 4], Operations: ['2+2=4'] Exploring Operation: 10+9=19, Resulting Numbers: [4, 19] Generated Node #3: [4, 19] from Operation: 10+9=19 Current State: 76:[4, 19], Operations: ['2+2=4', '10+9=19'] Exploring Operation: 4*19=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 21, 10, 81, 9 ]
61
[ "21-10=11", "81-9=72", "72-11=61" ]
Current State: 61:[21, 10, 81, 9], Operations: [] Exploring Operation: 21-10=11, Resulting Numbers: [81, 9, 11] Generated Node #2: [81, 9, 11] from Operation: 21-10=11 Current State: 61:[81, 9, 11], Operations: ['21-10=11'] Exploring Operation: 81-9=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 81-9=72 Current State: 61:[11, 72], Operations: ['21-10=11', '81-9=72'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 57, 80, 46, 85 ]
87
[ "80-57=23", "46/23=2", "85+2=87" ]
Current State: 87:[57, 80, 46, 85], Operations: [] Exploring Operation: 80-57=23, Resulting Numbers: [46, 85, 23] Generated Node #2: [46, 85, 23] from Operation: 80-57=23 Current State: 87:[46, 85, 23], Operations: ['80-57=23'] Exploring Operation: 46/23=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 46/23=2 Current State: 87:[85, 2], Operations: ['80-57=23', '46/23=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 42, 39, 12 ]
20
[ "42-11=31", "39+12=51", "51-31=20" ]
Current State: 20:[11, 42, 39, 12], Operations: [] Exploring Operation: 42-11=31, Resulting Numbers: [39, 12, 31] Generated Node #2: [39, 12, 31] from Operation: 42-11=31 Current State: 20:[39, 12, 31], Operations: ['42-11=31'] Exploring Operation: 39+12=51, Resulting Numbers: [31, 51] Generated Node #3: [31, 51] from Operation: 39+12=51 Current State: 20:[31, 51], Operations: ['42-11=31', '39+12=51'] Exploring Operation: 51-31=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 22, 25, 13, 34 ]
94
[ "22+25=47", "13+34=47", "47+47=94" ]
Current State: 94:[22, 25, 13, 34], Operations: [] Exploring Operation: 22+25=47, Resulting Numbers: [13, 34, 47] Generated Node #2: [13, 34, 47] from Operation: 22+25=47 Current State: 94:[13, 34, 47], Operations: ['22+25=47'] Exploring Operation: 13+34=47, Resulting Numbers: [47, 47] Generated Node #3: [47, 47] from Operation: 13+34=47 Current State: 94:[47, 47], Operations: ['22+25=47', '13+34=47'] Exploring Operation: 47+47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 66, 80, 4 ]
99
[ "66-51=15", "80+4=84", "15+84=99" ]
Current State: 99:[51, 66, 80, 4], Operations: [] Exploring Operation: 66-51=15, Resulting Numbers: [80, 4, 15] Generated Node #2: [80, 4, 15] from Operation: 66-51=15 Current State: 99:[80, 4, 15], Operations: ['66-51=15'] Exploring Operation: 80+4=84, Resulting Numbers: [15, 84] Generated Node #3: [15, 84] from Operation: 80+4=84 Current State: 99:[15, 84], Operations: ['66-51=15', '80+4=84'] Exploring Operation: 15+84=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 51, 56, 2, 49 ]
57
[ "51-2=49", "49/49=1", "56+1=57" ]
Current State: 57:[51, 56, 2, 49], Operations: [] Exploring Operation: 51-2=49, Resulting Numbers: [56, 49, 49] Generated Node #2: [56, 49, 49] from Operation: 51-2=49 Current State: 57:[56, 49, 49], Operations: ['51-2=49'] Exploring Operation: 49/49=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 49/49=1 Current State: 57:[56, 1], Operations: ['51-2=49', '49/49=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 4, 52, 18, 54 ]
61
[ "54-18=36", "36/4=9", "52+9=61" ]
Current State: 61:[4, 52, 18, 54], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [4, 52, 36] Generated Node #2: [4, 52, 36] from Operation: 54-18=36 Current State: 61:[4, 52, 36], Operations: ['54-18=36'] Exploring Operation: 36/4=9, Resulting Numbers: [52, 9] Generated Node #3: [52, 9] from Operation: 36/4=9 Current State: 61:[52, 9], Operations: ['54-18=36', '36/4=9'] Exploring Operation: 52+9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 56, 50, 38, 18 ]
14
[ "56-50=6", "38-18=20", "20-6=14" ]
Current State: 14:[56, 50, 38, 18], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [38, 18, 6] Generated Node #2: [38, 18, 6] from Operation: 56-50=6 Current State: 14:[38, 18, 6], Operations: ['56-50=6'] Exploring Operation: 38-18=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 38-18=20 Current State: 14:[6, 20], Operations: ['56-50=6', '38-18=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 50, 99, 68 ]
75
[ "50-6=44", "99-68=31", "44+31=75" ]
Current State: 75:[6, 50, 99, 68], Operations: [] Exploring Operation: 50-6=44, Resulting Numbers: [99, 68, 44] Generated Node #2: [99, 68, 44] from Operation: 50-6=44 Current State: 75:[99, 68, 44], Operations: ['50-6=44'] Exploring Operation: 99-68=31, Resulting Numbers: [44, 31] Generated Node #3: [44, 31] from Operation: 99-68=31 Current State: 75:[44, 31], Operations: ['50-6=44', '99-68=31'] Exploring Operation: 44+31=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4