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
[ 32, 25, 9, 61 ]
59
[ "32-25=7", "61-9=52", "7+52=59" ]
Current State: 59:[32, 25, 9, 61], Operations: [] Exploring Operation: 32-25=7, Resulting Numbers: [9, 61, 7] Generated Node #2: [9, 61, 7] from Operation: 32-25=7 Current State: 59:[9, 61, 7], Operations: ['32-25=7'] Exploring Operation: 61-9=52, Resulting Numbers: [7, 52] Generated Node #3: [7, 52] from Operation: 61-9=52 Current State: 59:[7, 52], Operations: ['32-25=7', '61-9=52'] Exploring Operation: 7+52=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 86, 87, 80 ]
93
[ "14+86=100", "87-80=7", "100-7=93" ]
Current State: 93:[14, 86, 87, 80], Operations: [] Exploring Operation: 14+86=100, Resulting Numbers: [87, 80, 100] Generated Node #2: [87, 80, 100] from Operation: 14+86=100 Current State: 93:[87, 80, 100], Operations: ['14+86=100'] Exploring Operation: 87-80=7, Resulting Numbers: [100, 7] Generated Node #3: [100, 7] from Operation: 87-80=7 Current State: 93:[100, 7], Operations: ['14+86=100', '87-80=7'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 27, 49, 48 ]
58
[ "85-27=58", "49-48=1", "58*1=58" ]
Current State: 58:[85, 27, 49, 48], Operations: [] Exploring Operation: 85-27=58, Resulting Numbers: [49, 48, 58] Generated Node #2: [49, 48, 58] from Operation: 85-27=58 Current State: 58:[49, 48, 58], Operations: ['85-27=58'] Exploring Operation: 49-48=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 49-48=1 Current State: 58:[58, 1], Operations: ['85-27=58', '49-48=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 27, 20, 76 ]
71
[ "73+27=100", "100/20=5", "76-5=71" ]
Current State: 71:[73, 27, 20, 76], Operations: [] Exploring Operation: 73+27=100, Resulting Numbers: [20, 76, 100] Generated Node #2: [20, 76, 100] from Operation: 73+27=100 Current State: 71:[20, 76, 100], Operations: ['73+27=100'] Exploring Operation: 100/20=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 100/20=5 Current State: 71:[76, 5], Operations: ['73+27=100', '100/20=5'] Exploring Operation: 76-5=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 41, 3, 63, 97 ]
61
[ "97-63=34", "3*34=102", "102-41=61" ]
Current State: 61:[41, 3, 63, 97], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [41, 3, 34] Generated Node #2: [41, 3, 34] from Operation: 97-63=34 Current State: 61:[41, 3, 34], Operations: ['97-63=34'] Exploring Operation: 3*34=102, Resulting Numbers: [41, 102] Generated Node #3: [41, 102] from Operation: 3*34=102 Current State: 61:[41, 102], Operations: ['97-63=34', '3*34=102'] Exploring Operation: 102-41=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 30, 42, 61 ]
41
[ "2*30=60", "61-42=19", "60-19=41" ]
Current State: 41:[2, 30, 42, 61], Operations: [] Exploring Operation: 2*30=60, Resulting Numbers: [42, 61, 60] Generated Node #2: [42, 61, 60] from Operation: 2*30=60 Current State: 41:[42, 61, 60], Operations: ['2*30=60'] Exploring Operation: 61-42=19, Resulting Numbers: [60, 19] Generated Node #3: [60, 19] from Operation: 61-42=19 Current State: 41:[60, 19], Operations: ['2*30=60', '61-42=19'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 59, 12, 94, 45 ]
92
[ "59-12=47", "94+45=139", "139-47=92" ]
Current State: 92:[59, 12, 94, 45], Operations: [] Exploring Operation: 59-12=47, Resulting Numbers: [94, 45, 47] Generated Node #2: [94, 45, 47] from Operation: 59-12=47 Current State: 92:[94, 45, 47], Operations: ['59-12=47'] Exploring Operation: 94+45=139, Resulting Numbers: [47, 139] Generated Node #3: [47, 139] from Operation: 94+45=139 Current State: 92:[47, 139], Operations: ['59-12=47', '94+45=139'] Exploring Operation: 139-47=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 66, 39, 78, 20 ]
85
[ "66-39=27", "78-20=58", "27+58=85" ]
Current State: 85:[66, 39, 78, 20], Operations: [] Exploring Operation: 66-39=27, Resulting Numbers: [78, 20, 27] Generated Node #2: [78, 20, 27] from Operation: 66-39=27 Current State: 85:[78, 20, 27], Operations: ['66-39=27'] Exploring Operation: 78-20=58, Resulting Numbers: [27, 58] Generated Node #3: [27, 58] from Operation: 78-20=58 Current State: 85:[27, 58], Operations: ['66-39=27', '78-20=58'] Exploring Operation: 27+58=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 54, 88, 53 ]
69
[ "2*88=176", "54+53=107", "176-107=69" ]
Current State: 69:[2, 54, 88, 53], Operations: [] Exploring Operation: 2*88=176, Resulting Numbers: [54, 53, 176] Generated Node #2: [54, 53, 176] from Operation: 2*88=176 Current State: 69:[54, 53, 176], Operations: ['2*88=176'] Exploring Operation: 54+53=107, Resulting Numbers: [176, 107] Generated Node #3: [176, 107] from Operation: 54+53=107 Current State: 69:[176, 107], Operations: ['2*88=176', '54+53=107'] Exploring Operation: 176-107=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 10, 7, 12, 84 ]
24
[ "10+7=17", "84/12=7", "17+7=24" ]
Current State: 24:[10, 7, 12, 84], Operations: [] Exploring Operation: 10+7=17, Resulting Numbers: [12, 84, 17] Generated Node #2: [12, 84, 17] from Operation: 10+7=17 Current State: 24:[12, 84, 17], Operations: ['10+7=17'] Exploring Operation: 84/12=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 84/12=7 Current State: 24:[17, 7], Operations: ['10+7=17', '84/12=7'] Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 40, 41, 85, 25 ]
95
[ "40*85=3400", "3400/25=136", "136-41=95" ]
Current State: 95:[40, 41, 85, 25], Operations: [] Exploring Operation: 40*85=3400, Resulting Numbers: [41, 25, 3400] Generated Node #2: [41, 25, 3400] from Operation: 40*85=3400 Current State: 95:[41, 25, 3400], Operations: ['40*85=3400'] Exploring Operation: 3400/25=136, Resulting Numbers: [41, 136] Generated Node #3: [41, 136] from Operation: 3400/25=136 Current State: 95:[41, 136], Operations: ['40*85=3400', '3400/25=136'] Exploring Operation: 136-41=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 32, 64, 95 ]
56
[ "95-91=4", "32/4=8", "64-8=56" ]
Current State: 56:[91, 32, 64, 95], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [32, 64, 4] Generated Node #2: [32, 64, 4] from Operation: 95-91=4 Current State: 56:[32, 64, 4], Operations: ['95-91=4'] Exploring Operation: 32/4=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 32/4=8 Current State: 56:[64, 8], Operations: ['95-91=4', '32/4=8'] Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 34, 24, 1, 27 ]
31
[ "34+24=58", "1*27=27", "58-27=31" ]
Current State: 31:[34, 24, 1, 27], Operations: [] Exploring Operation: 34+24=58, Resulting Numbers: [1, 27, 58] Generated Node #2: [1, 27, 58] from Operation: 34+24=58 Current State: 31:[1, 27, 58], Operations: ['34+24=58'] Exploring Operation: 1*27=27, Resulting Numbers: [58, 27] Generated Node #3: [58, 27] from Operation: 1*27=27 Current State: 31:[58, 27], Operations: ['34+24=58', '1*27=27'] Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 44, 19, 5 ]
73
[ "93-44=49", "19+5=24", "49+24=73" ]
Current State: 73:[93, 44, 19, 5], Operations: [] Exploring Operation: 93-44=49, Resulting Numbers: [19, 5, 49] Generated Node #2: [19, 5, 49] from Operation: 93-44=49 Current State: 73:[19, 5, 49], Operations: ['93-44=49'] Exploring Operation: 19+5=24, Resulting Numbers: [49, 24] Generated Node #3: [49, 24] from Operation: 19+5=24 Current State: 73:[49, 24], Operations: ['93-44=49', '19+5=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 54, 50, 59, 97 ]
66
[ "54+50=104", "97-59=38", "104-38=66" ]
Current State: 66:[54, 50, 59, 97], Operations: [] Exploring Operation: 54+50=104, Resulting Numbers: [59, 97, 104] Generated Node #2: [59, 97, 104] from Operation: 54+50=104 Current State: 66:[59, 97, 104], Operations: ['54+50=104'] Exploring Operation: 97-59=38, Resulting Numbers: [104, 38] Generated Node #3: [104, 38] from Operation: 97-59=38 Current State: 66:[104, 38], Operations: ['54+50=104', '97-59=38'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 80, 49, 20, 93 ]
56
[ "80+49=129", "93-20=73", "129-73=56" ]
Current State: 56:[80, 49, 20, 93], Operations: [] Exploring Operation: 80+49=129, Resulting Numbers: [20, 93, 129] Generated Node #2: [20, 93, 129] from Operation: 80+49=129 Current State: 56:[20, 93, 129], Operations: ['80+49=129'] Exploring Operation: 93-20=73, Resulting Numbers: [129, 73] Generated Node #3: [129, 73] from Operation: 93-20=73 Current State: 56:[129, 73], Operations: ['80+49=129', '93-20=73'] Exploring Operation: 129-73=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 43, 42, 22, 70 ]
93
[ "43-42=1", "22+70=92", "1+92=93" ]
Current State: 93:[43, 42, 22, 70], Operations: [] Exploring Operation: 43-42=1, Resulting Numbers: [22, 70, 1] Generated Node #2: [22, 70, 1] from Operation: 43-42=1 Current State: 93:[22, 70, 1], Operations: ['43-42=1'] Exploring Operation: 22+70=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 22+70=92 Current State: 93:[1, 92], Operations: ['43-42=1', '22+70=92'] Exploring Operation: 1+92=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 44, 40, 21, 91 ]
95
[ "44+40=84", "84/21=4", "91+4=95" ]
Current State: 95:[44, 40, 21, 91], Operations: [] Exploring Operation: 44+40=84, Resulting Numbers: [21, 91, 84] Generated Node #2: [21, 91, 84] from Operation: 44+40=84 Current State: 95:[21, 91, 84], Operations: ['44+40=84'] Exploring Operation: 84/21=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 84/21=4 Current State: 95:[91, 4], Operations: ['44+40=84', '84/21=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 63, 64, 16 ]
81
[ "5*16=80", "64-63=1", "80+1=81" ]
Current State: 81:[5, 63, 64, 16], Operations: [] Exploring Operation: 5*16=80, Resulting Numbers: [63, 64, 80] Generated Node #2: [63, 64, 80] from Operation: 5*16=80 Current State: 81:[63, 64, 80], Operations: ['5*16=80'] Exploring Operation: 64-63=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 64-63=1 Current State: 81:[80, 1], Operations: ['5*16=80', '64-63=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 53, 8, 3 ]
15
[ "53-14=39", "8*3=24", "39-24=15" ]
Current State: 15:[14, 53, 8, 3], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [8, 3, 39] Generated Node #2: [8, 3, 39] from Operation: 53-14=39 Current State: 15:[8, 3, 39], Operations: ['53-14=39'] Exploring Operation: 8*3=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 8*3=24 Current State: 15:[39, 24], Operations: ['53-14=39', '8*3=24'] Exploring Operation: 39-24=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 30, 42, 69, 42 ]
98
[ "30+69=99", "42/42=1", "99-1=98" ]
Current State: 98:[30, 42, 69, 42], Operations: [] Exploring Operation: 30+69=99, Resulting Numbers: [42, 42, 99] Generated Node #2: [42, 42, 99] from Operation: 30+69=99 Current State: 98:[42, 42, 99], Operations: ['30+69=99'] Exploring Operation: 42/42=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 42/42=1 Current State: 98:[99, 1], Operations: ['30+69=99', '42/42=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 79, 21, 69, 73 ]
62
[ "79-21=58", "73-69=4", "58+4=62" ]
Current State: 62:[79, 21, 69, 73], Operations: [] Exploring Operation: 79-21=58, Resulting Numbers: [69, 73, 58] Generated Node #2: [69, 73, 58] from Operation: 79-21=58 Current State: 62:[69, 73, 58], Operations: ['79-21=58'] Exploring Operation: 73-69=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 73-69=4 Current State: 62:[58, 4], Operations: ['79-21=58', '73-69=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 84, 73, 19, 29 ]
59
[ "84-73=11", "19+29=48", "11+48=59" ]
Current State: 59:[84, 73, 19, 29], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [19, 29, 11] Generated Node #2: [19, 29, 11] from Operation: 84-73=11 Current State: 59:[19, 29, 11], Operations: ['84-73=11'] Exploring Operation: 19+29=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 19+29=48 Current State: 59:[11, 48], Operations: ['84-73=11', '19+29=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 19, 73, 57, 10 ]
13
[ "73-19=54", "57+10=67", "67-54=13" ]
Current State: 13:[19, 73, 57, 10], Operations: [] Exploring Operation: 73-19=54, Resulting Numbers: [57, 10, 54] Generated Node #2: [57, 10, 54] from Operation: 73-19=54 Current State: 13:[57, 10, 54], Operations: ['73-19=54'] Exploring Operation: 57+10=67, Resulting Numbers: [54, 67] Generated Node #3: [54, 67] from Operation: 57+10=67 Current State: 13:[54, 67], Operations: ['73-19=54', '57+10=67'] Exploring Operation: 67-54=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 58, 81, 68, 63 ]
83
[ "58+68=126", "126/63=2", "81+2=83" ]
Current State: 83:[58, 81, 68, 63], Operations: [] Exploring Operation: 58+68=126, Resulting Numbers: [81, 63, 126] Generated Node #2: [81, 63, 126] from Operation: 58+68=126 Current State: 83:[81, 63, 126], Operations: ['58+68=126'] Exploring Operation: 126/63=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 126/63=2 Current State: 83:[81, 2], Operations: ['58+68=126', '126/63=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 23, 9, 91, 99 ]
40
[ "23+9=32", "99-91=8", "32+8=40" ]
Current State: 40:[23, 9, 91, 99], Operations: [] Exploring Operation: 23+9=32, Resulting Numbers: [91, 99, 32] Generated Node #2: [91, 99, 32] from Operation: 23+9=32 Current State: 40:[91, 99, 32], Operations: ['23+9=32'] Exploring Operation: 99-91=8, Resulting Numbers: [32, 8] Generated Node #3: [32, 8] from Operation: 99-91=8 Current State: 40:[32, 8], Operations: ['23+9=32', '99-91=8'] Exploring Operation: 32+8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 54, 61, 65 ]
88
[ "54+61=115", "115/5=23", "65+23=88" ]
Current State: 88:[5, 54, 61, 65], Operations: [] Exploring Operation: 54+61=115, Resulting Numbers: [5, 65, 115] Generated Node #2: [5, 65, 115] from Operation: 54+61=115 Current State: 88:[5, 65, 115], Operations: ['54+61=115'] Exploring Operation: 115/5=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 115/5=23 Current State: 88:[65, 23], Operations: ['54+61=115', '115/5=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 86, 11, 70 ]
46
[ "10*11=110", "86+70=156", "156-110=46" ]
Current State: 46:[10, 86, 11, 70], Operations: [] Exploring Operation: 10*11=110, Resulting Numbers: [86, 70, 110] Generated Node #2: [86, 70, 110] from Operation: 10*11=110 Current State: 46:[86, 70, 110], Operations: ['10*11=110'] Exploring Operation: 86+70=156, Resulting Numbers: [110, 156] Generated Node #3: [110, 156] from Operation: 86+70=156 Current State: 46:[110, 156], Operations: ['10*11=110', '86+70=156'] Exploring Operation: 156-110=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 15, 70, 53 ]
76
[ "37+53=90", "90/15=6", "70+6=76" ]
Current State: 76:[37, 15, 70, 53], Operations: [] Exploring Operation: 37+53=90, Resulting Numbers: [15, 70, 90] Generated Node #2: [15, 70, 90] from Operation: 37+53=90 Current State: 76:[15, 70, 90], Operations: ['37+53=90'] Exploring Operation: 90/15=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 90/15=6 Current State: 76:[70, 6], Operations: ['37+53=90', '90/15=6'] Exploring Operation: 70+6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 79, 2, 68, 43 ]
95
[ "79+68=147", "43+147=190", "190/2=95" ]
Current State: 95:[79, 2, 68, 43], Operations: [] Exploring Operation: 79+68=147, Resulting Numbers: [2, 43, 147] Generated Node #2: [2, 43, 147] from Operation: 79+68=147 Current State: 95:[2, 43, 147], Operations: ['79+68=147'] Exploring Operation: 43+147=190, Resulting Numbers: [2, 190] Generated Node #3: [2, 190] from Operation: 43+147=190 Current State: 95:[2, 190], Operations: ['79+68=147', '43+147=190'] Exploring Operation: 190/2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 66, 67, 93, 60 ]
20
[ "66+67=133", "93+60=153", "153-133=20" ]
Current State: 20:[66, 67, 93, 60], Operations: [] Exploring Operation: 66+67=133, Resulting Numbers: [93, 60, 133] Generated Node #2: [93, 60, 133] from Operation: 66+67=133 Current State: 20:[93, 60, 133], Operations: ['66+67=133'] Exploring Operation: 93+60=153, Resulting Numbers: [133, 153] Generated Node #3: [133, 153] from Operation: 93+60=153 Current State: 20:[133, 153], Operations: ['66+67=133', '93+60=153'] Exploring Operation: 153-133=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 65, 85, 20, 17 ]
23
[ "85-65=20", "20-17=3", "20+3=23" ]
Current State: 23:[65, 85, 20, 17], Operations: [] Exploring Operation: 85-65=20, Resulting Numbers: [20, 17, 20] Generated Node #2: [20, 17, 20] from Operation: 85-65=20 Current State: 23:[20, 17, 20], Operations: ['85-65=20'] Exploring Operation: 20-17=3, Resulting Numbers: [3] 3,23 equal: Goal Reached Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 45, 40, 2, 15 ]
85
[ "45-40=5", "2+15=17", "5*17=85" ]
Current State: 85:[45, 40, 2, 15], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [2, 15, 5] Generated Node #2: [2, 15, 5] from Operation: 45-40=5 Current State: 85:[2, 15, 5], Operations: ['45-40=5'] Exploring Operation: 2+15=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 2+15=17 Current State: 85:[5, 17], Operations: ['45-40=5', '2+15=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 1, 10, 81 ]
65
[ "5+1=6", "81-10=71", "71-6=65" ]
Current State: 65:[5, 1, 10, 81], Operations: [] Exploring Operation: 5+1=6, Resulting Numbers: [10, 81, 6] Generated Node #2: [10, 81, 6] from Operation: 5+1=6 Current State: 65:[10, 81, 6], Operations: ['5+1=6'] Exploring Operation: 81-10=71, Resulting Numbers: [6, 71] Generated Node #3: [6, 71] from Operation: 81-10=71 Current State: 65:[6, 71], Operations: ['5+1=6', '81-10=71'] Exploring Operation: 71-6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 29, 25, 47, 17 ]
26
[ "29-25=4", "47-17=30", "30-4=26" ]
Current State: 26:[29, 25, 47, 17], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [47, 17, 4] Generated Node #2: [47, 17, 4] from Operation: 29-25=4 Current State: 26:[47, 17, 4], Operations: ['29-25=4'] Exploring Operation: 47-17=30, Resulting Numbers: [4, 30] Generated Node #3: [4, 30] from Operation: 47-17=30 Current State: 26:[4, 30], Operations: ['29-25=4', '47-17=30'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 64, 40, 22 ]
20
[ "2*22=44", "64-40=24", "44-24=20" ]
Current State: 20:[2, 64, 40, 22], Operations: [] Exploring Operation: 2*22=44, Resulting Numbers: [64, 40, 44] Generated Node #2: [64, 40, 44] from Operation: 2*22=44 Current State: 20:[64, 40, 44], Operations: ['2*22=44'] Exploring Operation: 64-40=24, Resulting Numbers: [44, 24] Generated Node #3: [44, 24] from Operation: 64-40=24 Current State: 20:[44, 24], Operations: ['2*22=44', '64-40=24'] Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 47, 51, 23, 94 ]
37
[ "94/47=2", "51+23=74", "74/2=37" ]
Current State: 37:[47, 51, 23, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [51, 23, 2] Generated Node #2: [51, 23, 2] from Operation: 94/47=2 Current State: 37:[51, 23, 2], Operations: ['94/47=2'] Exploring Operation: 51+23=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 51+23=74 Current State: 37:[2, 74], Operations: ['94/47=2', '51+23=74'] Exploring Operation: 74/2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 77, 9, 43, 8 ]
10
[ "77+9=86", "86/43=2", "8+2=10" ]
Current State: 10:[77, 9, 43, 8], Operations: [] Exploring Operation: 77+9=86, Resulting Numbers: [43, 8, 86] Generated Node #2: [43, 8, 86] from Operation: 77+9=86 Current State: 10:[43, 8, 86], Operations: ['77+9=86'] Exploring Operation: 86/43=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 86/43=2 Current State: 10:[8, 2], Operations: ['77+9=86', '86/43=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 32, 24, 62, 93 ]
39
[ "32-24=8", "93-62=31", "8+31=39" ]
Current State: 39:[32, 24, 62, 93], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [62, 93, 8] Generated Node #2: [62, 93, 8] from Operation: 32-24=8 Current State: 39:[62, 93, 8], Operations: ['32-24=8'] Exploring Operation: 93-62=31, Resulting Numbers: [8, 31] Generated Node #3: [8, 31] from Operation: 93-62=31 Current State: 39:[8, 31], Operations: ['32-24=8', '93-62=31'] Exploring Operation: 8+31=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 78, 8, 59, 3 ]
93
[ "78/3=26", "8+59=67", "26+67=93" ]
Current State: 93:[78, 8, 59, 3], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [8, 59, 26] Generated Node #2: [8, 59, 26] from Operation: 78/3=26 Current State: 93:[8, 59, 26], Operations: ['78/3=26'] Exploring Operation: 8+59=67, Resulting Numbers: [26, 67] Generated Node #3: [26, 67] from Operation: 8+59=67 Current State: 93:[26, 67], Operations: ['78/3=26', '8+59=67'] Exploring Operation: 26+67=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 11, 16, 4, 2 ]
34
[ "11*2=22", "16-4=12", "22+12=34" ]
Current State: 34:[11, 16, 4, 2], Operations: [] Exploring Operation: 11*2=22, Resulting Numbers: [16, 4, 22] Generated Node #2: [16, 4, 22] from Operation: 11*2=22 Current State: 34:[16, 4, 22], Operations: ['11*2=22'] Exploring Operation: 16-4=12, Resulting Numbers: [22, 12] Generated Node #3: [22, 12] from Operation: 16-4=12 Current State: 34:[22, 12], Operations: ['11*2=22', '16-4=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 15, 76, 19 ]
41
[ "60-15=45", "76/19=4", "45-4=41" ]
Current State: 41:[60, 15, 76, 19], Operations: [] Exploring Operation: 60-15=45, Resulting Numbers: [76, 19, 45] Generated Node #2: [76, 19, 45] from Operation: 60-15=45 Current State: 41:[76, 19, 45], Operations: ['60-15=45'] Exploring Operation: 76/19=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 76/19=4 Current State: 41:[45, 4], Operations: ['60-15=45', '76/19=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 85, 20, 34, 1 ]
99
[ "85-20=65", "34*1=34", "65+34=99" ]
Current State: 99:[85, 20, 34, 1], Operations: [] Exploring Operation: 85-20=65, Resulting Numbers: [34, 1, 65] Generated Node #2: [34, 1, 65] from Operation: 85-20=65 Current State: 99:[34, 1, 65], Operations: ['85-20=65'] Exploring Operation: 34*1=34, Resulting Numbers: [65, 34] Generated Node #3: [65, 34] from Operation: 34*1=34 Current State: 99:[65, 34], Operations: ['85-20=65', '34*1=34'] Exploring Operation: 65+34=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 77, 86, 6 ]
27
[ "86-77=9", "6*9=54", "54-27=27" ]
Current State: 27:[27, 77, 86, 6], Operations: [] Exploring Operation: 86-77=9, Resulting Numbers: [27, 6, 9] Generated Node #2: [27, 6, 9] from Operation: 86-77=9 Current State: 27:[27, 6, 9], Operations: ['86-77=9'] Exploring Operation: 6*9=54, Resulting Numbers: [27, 54] Generated Node #3: [27, 54] from Operation: 6*9=54 Current State: 27:[27, 54], Operations: ['86-77=9', '6*9=54'] Exploring Operation: 54-27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 69, 25, 27 ]
20
[ "3+69=72", "25+27=52", "72-52=20" ]
Current State: 20:[3, 69, 25, 27], Operations: [] Exploring Operation: 3+69=72, Resulting Numbers: [25, 27, 72] Generated Node #2: [25, 27, 72] from Operation: 3+69=72 Current State: 20:[25, 27, 72], Operations: ['3+69=72'] Exploring Operation: 25+27=52, Resulting Numbers: [72, 52] Generated Node #3: [72, 52] from Operation: 25+27=52 Current State: 20:[72, 52], Operations: ['3+69=72', '25+27=52'] Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 48, 64, 93, 7 ]
75
[ "93+7=100", "48*100=4800", "4800/64=75" ]
Current State: 75:[48, 64, 93, 7], Operations: [] Exploring Operation: 93+7=100, Resulting Numbers: [48, 64, 100] Generated Node #2: [48, 64, 100] from Operation: 93+7=100 Current State: 75:[48, 64, 100], Operations: ['93+7=100'] Exploring Operation: 48*100=4800, Resulting Numbers: [64, 4800] Generated Node #3: [64, 4800] from Operation: 48*100=4800 Current State: 75:[64, 4800], Operations: ['93+7=100', '48*100=4800'] Exploring Operation: 4800/64=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 73, 4, 50, 97 ]
46
[ "97-73=24", "4*24=96", "96-50=46" ]
Current State: 46:[73, 4, 50, 97], Operations: [] Exploring Operation: 97-73=24, Resulting Numbers: [4, 50, 24] Generated Node #2: [4, 50, 24] from Operation: 97-73=24 Current State: 46:[4, 50, 24], Operations: ['97-73=24'] Exploring Operation: 4*24=96, Resulting Numbers: [50, 96] Generated Node #3: [50, 96] from Operation: 4*24=96 Current State: 46:[50, 96], Operations: ['97-73=24', '4*24=96'] Exploring Operation: 96-50=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 86, 12, 28, 17 ]
90
[ "86+28=114", "12*17=204", "204-114=90" ]
Current State: 90:[86, 12, 28, 17], Operations: [] Exploring Operation: 86+28=114, Resulting Numbers: [12, 17, 114] Generated Node #2: [12, 17, 114] from Operation: 86+28=114 Current State: 90:[12, 17, 114], Operations: ['86+28=114'] Exploring Operation: 12*17=204, Resulting Numbers: [114, 204] Generated Node #3: [114, 204] from Operation: 12*17=204 Current State: 90:[114, 204], Operations: ['86+28=114', '12*17=204'] Exploring Operation: 204-114=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 83, 6, 36, 82 ]
31
[ "83-6=77", "82-36=46", "77-46=31" ]
Current State: 31:[83, 6, 36, 82], Operations: [] Exploring Operation: 83-6=77, Resulting Numbers: [36, 82, 77] Generated Node #2: [36, 82, 77] from Operation: 83-6=77 Current State: 31:[36, 82, 77], Operations: ['83-6=77'] Exploring Operation: 82-36=46, Resulting Numbers: [77, 46] Generated Node #3: [77, 46] from Operation: 82-36=46 Current State: 31:[77, 46], Operations: ['83-6=77', '82-36=46'] Exploring Operation: 77-46=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 10, 16, 23 ]
21
[ "16-10=6", "12/6=2", "23-2=21" ]
Current State: 21:[12, 10, 16, 23], Operations: [] Exploring Operation: 16-10=6, Resulting Numbers: [12, 23, 6] Generated Node #2: [12, 23, 6] from Operation: 16-10=6 Current State: 21:[12, 23, 6], Operations: ['16-10=6'] Exploring Operation: 12/6=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 12/6=2 Current State: 21:[23, 2], Operations: ['16-10=6', '12/6=2'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 94, 34, 24 ]
89
[ "5+94=99", "34-24=10", "99-10=89" ]
Current State: 89:[5, 94, 34, 24], Operations: [] Exploring Operation: 5+94=99, Resulting Numbers: [34, 24, 99] Generated Node #2: [34, 24, 99] from Operation: 5+94=99 Current State: 89:[34, 24, 99], Operations: ['5+94=99'] Exploring Operation: 34-24=10, Resulting Numbers: [99, 10] Generated Node #3: [99, 10] from Operation: 34-24=10 Current State: 89:[99, 10], Operations: ['5+94=99', '34-24=10'] Exploring Operation: 99-10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 29, 36, 31, 4 ]
92
[ "29+36=65", "31-4=27", "65+27=92" ]
Current State: 92:[29, 36, 31, 4], Operations: [] Exploring Operation: 29+36=65, Resulting Numbers: [31, 4, 65] Generated Node #2: [31, 4, 65] from Operation: 29+36=65 Current State: 92:[31, 4, 65], Operations: ['29+36=65'] Exploring Operation: 31-4=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 31-4=27 Current State: 92:[65, 27], Operations: ['29+36=65', '31-4=27'] Exploring Operation: 65+27=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 21, 34, 53, 59 ]
31
[ "21*53=1113", "1113-59=1054", "1054/34=31" ]
Current State: 31:[21, 34, 53, 59], Operations: [] Exploring Operation: 21*53=1113, Resulting Numbers: [34, 59, 1113] Generated Node #2: [34, 59, 1113] from Operation: 21*53=1113 Current State: 31:[34, 59, 1113], Operations: ['21*53=1113'] Exploring Operation: 1113-59=1054, Resulting Numbers: [34, 1054] Generated Node #3: [34, 1054] from Operation: 1113-59=1054 Current State: 31:[34, 1054], Operations: ['21*53=1113', '1113-59=1054'] Exploring Operation: 1054/34=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 88, 11, 92, 25 ]
10
[ "88-11=77", "92-25=67", "77-67=10" ]
Current State: 10:[88, 11, 92, 25], Operations: [] Exploring Operation: 88-11=77, Resulting Numbers: [92, 25, 77] Generated Node #2: [92, 25, 77] from Operation: 88-11=77 Current State: 10:[92, 25, 77], Operations: ['88-11=77'] Exploring Operation: 92-25=67, Resulting Numbers: [77, 67] Generated Node #3: [77, 67] from Operation: 92-25=67 Current State: 10:[77, 67], Operations: ['88-11=77', '92-25=67'] Exploring Operation: 77-67=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 31, 10, 86, 50 ]
77
[ "31+10=41", "86-50=36", "41+36=77" ]
Current State: 77:[31, 10, 86, 50], Operations: [] Exploring Operation: 31+10=41, Resulting Numbers: [86, 50, 41] Generated Node #2: [86, 50, 41] from Operation: 31+10=41 Current State: 77:[86, 50, 41], Operations: ['31+10=41'] Exploring Operation: 86-50=36, Resulting Numbers: [41, 36] Generated Node #3: [41, 36] from Operation: 86-50=36 Current State: 77:[41, 36], Operations: ['31+10=41', '86-50=36'] Exploring Operation: 41+36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 38, 2, 47, 26 ]
33
[ "38+2=40", "47+26=73", "73-40=33" ]
Current State: 33:[38, 2, 47, 26], Operations: [] Exploring Operation: 38+2=40, Resulting Numbers: [47, 26, 40] Generated Node #2: [47, 26, 40] from Operation: 38+2=40 Current State: 33:[47, 26, 40], Operations: ['38+2=40'] Exploring Operation: 47+26=73, Resulting Numbers: [40, 73] Generated Node #3: [40, 73] from Operation: 47+26=73 Current State: 33:[40, 73], Operations: ['38+2=40', '47+26=73'] Exploring Operation: 73-40=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 61, 1, 87 ]
56
[ "61-29=32", "1+87=88", "88-32=56" ]
Current State: 56:[29, 61, 1, 87], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [1, 87, 32] Generated Node #2: [1, 87, 32] from Operation: 61-29=32 Current State: 56:[1, 87, 32], Operations: ['61-29=32'] Exploring Operation: 1+87=88, Resulting Numbers: [32, 88] Generated Node #3: [32, 88] from Operation: 1+87=88 Current State: 56:[32, 88], Operations: ['61-29=32', '1+87=88'] Exploring Operation: 88-32=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 47, 71, 68, 18 ]
26
[ "71-47=24", "68-18=50", "50-24=26" ]
Current State: 26:[47, 71, 68, 18], Operations: [] Exploring Operation: 71-47=24, Resulting Numbers: [68, 18, 24] Generated Node #2: [68, 18, 24] from Operation: 71-47=24 Current State: 26:[68, 18, 24], Operations: ['71-47=24'] Exploring Operation: 68-18=50, Resulting Numbers: [24, 50] Generated Node #3: [24, 50] from Operation: 68-18=50 Current State: 26:[24, 50], Operations: ['71-47=24', '68-18=50'] Exploring Operation: 50-24=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 36, 33, 84, 90 ]
62
[ "36-33=3", "84/3=28", "90-28=62" ]
Current State: 62:[36, 33, 84, 90], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [84, 90, 3] Generated Node #2: [84, 90, 3] from Operation: 36-33=3 Current State: 62:[84, 90, 3], Operations: ['36-33=3'] Exploring Operation: 84/3=28, Resulting Numbers: [90, 28] Generated Node #3: [90, 28] from Operation: 84/3=28 Current State: 62:[90, 28], Operations: ['36-33=3', '84/3=28'] Exploring Operation: 90-28=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 94, 38, 9, 76 ]
78
[ "38+9=47", "94/47=2", "76+2=78" ]
Current State: 78:[94, 38, 9, 76], Operations: [] Exploring Operation: 38+9=47, Resulting Numbers: [94, 76, 47] Generated Node #2: [94, 76, 47] from Operation: 38+9=47 Current State: 78:[94, 76, 47], Operations: ['38+9=47'] Exploring Operation: 94/47=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 94/47=2 Current State: 78:[76, 2], Operations: ['38+9=47', '94/47=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 96, 87, 34, 6 ]
84
[ "96+6=102", "102/34=3", "87-3=84" ]
Current State: 84:[96, 87, 34, 6], Operations: [] Exploring Operation: 96+6=102, Resulting Numbers: [87, 34, 102] Generated Node #2: [87, 34, 102] from Operation: 96+6=102 Current State: 84:[87, 34, 102], Operations: ['96+6=102'] Exploring Operation: 102/34=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 102/34=3 Current State: 84:[87, 3], Operations: ['96+6=102', '102/34=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 64, 62, 64, 59 ]
10
[ "64-62=2", "64-59=5", "2*5=10" ]
Current State: 10:[64, 62, 64, 59], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [59, 2] Generated Node #2: [59, 2] from Operation: 64-62=2 Current State: 10:[59, 2], Operations: ['64-62=2'] Exploring Operation: 64-59=5, Resulting Numbers: [2, 5] Generated Node #3: [2, 5] from Operation: 64-59=5 Current State: 10:[2, 5], Operations: ['64-62=2', '64-59=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 30, 12, 4, 34 ]
94
[ "30+12=42", "4*34=136", "136-42=94" ]
Current State: 94:[30, 12, 4, 34], Operations: [] Exploring Operation: 30+12=42, Resulting Numbers: [4, 34, 42] Generated Node #2: [4, 34, 42] from Operation: 30+12=42 Current State: 94:[4, 34, 42], Operations: ['30+12=42'] Exploring Operation: 4*34=136, Resulting Numbers: [42, 136] Generated Node #3: [42, 136] from Operation: 4*34=136 Current State: 94:[42, 136], Operations: ['30+12=42', '4*34=136'] Exploring Operation: 136-42=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 8, 30, 33 ]
62
[ "33-30=3", "8*3=24", "38+24=62" ]
Current State: 62:[38, 8, 30, 33], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [38, 8, 3] Generated Node #2: [38, 8, 3] from Operation: 33-30=3 Current State: 62:[38, 8, 3], Operations: ['33-30=3'] Exploring Operation: 8*3=24, Resulting Numbers: [38, 24] Generated Node #3: [38, 24] from Operation: 8*3=24 Current State: 62:[38, 24], Operations: ['33-30=3', '8*3=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 88, 72, 68, 13 ]
35
[ "72-68=4", "88/4=22", "13+22=35" ]
Current State: 35:[88, 72, 68, 13], Operations: [] Exploring Operation: 72-68=4, Resulting Numbers: [88, 13, 4] Generated Node #2: [88, 13, 4] from Operation: 72-68=4 Current State: 35:[88, 13, 4], Operations: ['72-68=4'] Exploring Operation: 88/4=22, Resulting Numbers: [13, 22] Generated Node #3: [13, 22] from Operation: 88/4=22 Current State: 35:[13, 22], Operations: ['72-68=4', '88/4=22'] Exploring Operation: 13+22=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 84, 29, 29, 59 ]
26
[ "84-59=25", "29/29=1", "25+1=26" ]
Current State: 26:[84, 29, 29, 59], Operations: [] Exploring Operation: 84-59=25, Resulting Numbers: [29, 29, 25] Generated Node #2: [29, 29, 25] from Operation: 84-59=25 Current State: 26:[29, 29, 25], Operations: ['84-59=25'] Exploring Operation: 29/29=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 29/29=1 Current State: 26:[25, 1], Operations: ['84-59=25', '29/29=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 54, 21, 26 ]
34
[ "54-15=39", "26-21=5", "39-5=34" ]
Current State: 34:[15, 54, 21, 26], Operations: [] Exploring Operation: 54-15=39, Resulting Numbers: [21, 26, 39] Generated Node #2: [21, 26, 39] from Operation: 54-15=39 Current State: 34:[21, 26, 39], Operations: ['54-15=39'] Exploring Operation: 26-21=5, Resulting Numbers: [39, 5] Generated Node #3: [39, 5] from Operation: 26-21=5 Current State: 34:[39, 5], Operations: ['54-15=39', '26-21=5'] Exploring Operation: 39-5=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 42, 54, 24, 22 ]
10
[ "54-42=12", "24-22=2", "12-2=10" ]
Current State: 10:[42, 54, 24, 22], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [24, 22, 12] Generated Node #2: [24, 22, 12] from Operation: 54-42=12 Current State: 10:[24, 22, 12], Operations: ['54-42=12'] Exploring Operation: 24-22=2, Resulting Numbers: [12, 2] Generated Node #3: [12, 2] from Operation: 24-22=2 Current State: 10:[12, 2], Operations: ['54-42=12', '24-22=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 30, 12, 5, 66 ]
19
[ "30+12=42", "66-5=61", "61-42=19" ]
Current State: 19:[30, 12, 5, 66], Operations: [] Exploring Operation: 30+12=42, Resulting Numbers: [5, 66, 42] Generated Node #2: [5, 66, 42] from Operation: 30+12=42 Current State: 19:[5, 66, 42], Operations: ['30+12=42'] Exploring Operation: 66-5=61, Resulting Numbers: [42, 61] Generated Node #3: [42, 61] from Operation: 66-5=61 Current State: 19:[42, 61], Operations: ['30+12=42', '66-5=61'] Exploring Operation: 61-42=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 25, 95, 16, 90 ]
14
[ "25+95=120", "16+90=106", "120-106=14" ]
Current State: 14:[25, 95, 16, 90], Operations: [] Exploring Operation: 25+95=120, Resulting Numbers: [16, 90, 120] Generated Node #2: [16, 90, 120] from Operation: 25+95=120 Current State: 14:[16, 90, 120], Operations: ['25+95=120'] Exploring Operation: 16+90=106, Resulting Numbers: [120, 106] Generated Node #3: [120, 106] from Operation: 16+90=106 Current State: 14:[120, 106], Operations: ['25+95=120', '16+90=106'] Exploring Operation: 120-106=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 85, 53, 47, 33 ]
58
[ "85+53=138", "47+33=80", "138-80=58" ]
Current State: 58:[85, 53, 47, 33], Operations: [] Exploring Operation: 85+53=138, Resulting Numbers: [47, 33, 138] Generated Node #2: [47, 33, 138] from Operation: 85+53=138 Current State: 58:[47, 33, 138], Operations: ['85+53=138'] Exploring Operation: 47+33=80, Resulting Numbers: [138, 80] Generated Node #3: [138, 80] from Operation: 47+33=80 Current State: 58:[138, 80], Operations: ['85+53=138', '47+33=80'] Exploring Operation: 138-80=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 34, 46, 49, 22 ]
53
[ "34+46=80", "49-22=27", "80-27=53" ]
Current State: 53:[34, 46, 49, 22], Operations: [] Exploring Operation: 34+46=80, Resulting Numbers: [49, 22, 80] Generated Node #2: [49, 22, 80] from Operation: 34+46=80 Current State: 53:[49, 22, 80], Operations: ['34+46=80'] Exploring Operation: 49-22=27, Resulting Numbers: [80, 27] Generated Node #3: [80, 27] from Operation: 49-22=27 Current State: 53:[80, 27], Operations: ['34+46=80', '49-22=27'] Exploring Operation: 80-27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 60, 55, 12 ]
16
[ "55-52=3", "60-12=48", "48/3=16" ]
Current State: 16:[52, 60, 55, 12], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [60, 12, 3] Generated Node #2: [60, 12, 3] from Operation: 55-52=3 Current State: 16:[60, 12, 3], Operations: ['55-52=3'] Exploring Operation: 60-12=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 60-12=48 Current State: 16:[3, 48], Operations: ['55-52=3', '60-12=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 81, 15, 7 ]
91
[ "2+81=83", "15-7=8", "83+8=91" ]
Current State: 91:[2, 81, 15, 7], Operations: [] Exploring Operation: 2+81=83, Resulting Numbers: [15, 7, 83] Generated Node #2: [15, 7, 83] from Operation: 2+81=83 Current State: 91:[15, 7, 83], Operations: ['2+81=83'] Exploring Operation: 15-7=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 15-7=8 Current State: 91:[83, 8], Operations: ['2+81=83', '15-7=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 26, 8, 52, 21 ]
37
[ "52/26=2", "8*2=16", "21+16=37" ]
Current State: 37:[26, 8, 52, 21], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [8, 21, 2] Generated Node #2: [8, 21, 2] from Operation: 52/26=2 Current State: 37:[8, 21, 2], Operations: ['52/26=2'] Exploring Operation: 8*2=16, Resulting Numbers: [21, 16] Generated Node #3: [21, 16] from Operation: 8*2=16 Current State: 37:[21, 16], Operations: ['52/26=2', '8*2=16'] Exploring Operation: 21+16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 72, 90, 28, 55 ]
65
[ "90-72=18", "28+55=83", "83-18=65" ]
Current State: 65:[72, 90, 28, 55], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [28, 55, 18] Generated Node #2: [28, 55, 18] from Operation: 90-72=18 Current State: 65:[28, 55, 18], Operations: ['90-72=18'] Exploring Operation: 28+55=83, Resulting Numbers: [18, 83] Generated Node #3: [18, 83] from Operation: 28+55=83 Current State: 65:[18, 83], Operations: ['90-72=18', '28+55=83'] Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 89, 67, 30, 74 ]
22
[ "89-67=22", "74-30=44", "44-22=22" ]
Current State: 22:[89, 67, 30, 74], Operations: [] Exploring Operation: 89-67=22, Resulting Numbers: [30, 74, 22] Generated Node #2: [30, 74, 22] from Operation: 89-67=22 Current State: 22:[30, 74, 22], Operations: ['89-67=22'] Exploring Operation: 74-30=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 74-30=44 Current State: 22:[22, 44], Operations: ['89-67=22', '74-30=44'] Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 2, 39, 83 ]
75
[ "39-23=16", "16/2=8", "83-8=75" ]
Current State: 75:[23, 2, 39, 83], Operations: [] Exploring Operation: 39-23=16, Resulting Numbers: [2, 83, 16] Generated Node #2: [2, 83, 16] from Operation: 39-23=16 Current State: 75:[2, 83, 16], Operations: ['39-23=16'] Exploring Operation: 16/2=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 16/2=8 Current State: 75:[83, 8], Operations: ['39-23=16', '16/2=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 53, 93, 76, 28 ]
42
[ "53+93=146", "76+28=104", "146-104=42" ]
Current State: 42:[53, 93, 76, 28], Operations: [] Exploring Operation: 53+93=146, Resulting Numbers: [76, 28, 146] Generated Node #2: [76, 28, 146] from Operation: 53+93=146 Current State: 42:[76, 28, 146], Operations: ['53+93=146'] Exploring Operation: 76+28=104, Resulting Numbers: [146, 104] Generated Node #3: [146, 104] from Operation: 76+28=104 Current State: 42:[146, 104], Operations: ['53+93=146', '76+28=104'] Exploring Operation: 146-104=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 67, 92, 88 ]
28
[ "67-43=24", "92-88=4", "24+4=28" ]
Current State: 28:[43, 67, 92, 88], Operations: [] Exploring Operation: 67-43=24, Resulting Numbers: [92, 88, 24] Generated Node #2: [92, 88, 24] from Operation: 67-43=24 Current State: 28:[92, 88, 24], Operations: ['67-43=24'] Exploring Operation: 92-88=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 92-88=4 Current State: 28:[24, 4], Operations: ['67-43=24', '92-88=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 92, 70, 14, 28 ]
99
[ "70+28=98", "98/14=7", "92+7=99" ]
Current State: 99:[92, 70, 14, 28], Operations: [] Exploring Operation: 70+28=98, Resulting Numbers: [92, 14, 98] Generated Node #2: [92, 14, 98] from Operation: 70+28=98 Current State: 99:[92, 14, 98], Operations: ['70+28=98'] Exploring Operation: 98/14=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 98/14=7 Current State: 99:[92, 7], Operations: ['70+28=98', '98/14=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 15, 25, 32 ]
36
[ "15+25=40", "32+40=72", "72/2=36" ]
Current State: 36:[2, 15, 25, 32], Operations: [] Exploring Operation: 15+25=40, Resulting Numbers: [2, 32, 40] Generated Node #2: [2, 32, 40] from Operation: 15+25=40 Current State: 36:[2, 32, 40], Operations: ['15+25=40'] Exploring Operation: 32+40=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 32+40=72 Current State: 36:[2, 72], Operations: ['15+25=40', '32+40=72'] Exploring Operation: 72/2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 55, 75, 61, 81 ]
36
[ "61-55=6", "81-75=6", "6*6=36" ]
Current State: 36:[55, 75, 61, 81], Operations: [] Exploring Operation: 61-55=6, Resulting Numbers: [75, 81, 6] Generated Node #2: [75, 81, 6] from Operation: 61-55=6 Current State: 36:[75, 81, 6], Operations: ['61-55=6'] Exploring Operation: 81-75=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 81-75=6 Current State: 36:[6, 6], Operations: ['61-55=6', '81-75=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 97, 52, 4, 82 ]
23
[ "82-52=30", "4*30=120", "120-97=23" ]
Current State: 23:[97, 52, 4, 82], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [97, 4, 30] Generated Node #2: [97, 4, 30] from Operation: 82-52=30 Current State: 23:[97, 4, 30], Operations: ['82-52=30'] Exploring Operation: 4*30=120, Resulting Numbers: [97, 120] Generated Node #3: [97, 120] from Operation: 4*30=120 Current State: 23:[97, 120], Operations: ['82-52=30', '4*30=120'] Exploring Operation: 120-97=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 4, 22, 5, 10 ]
42
[ "10-5=5", "4*5=20", "22+20=42" ]
Current State: 42:[4, 22, 5, 10], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [4, 22, 5] Generated Node #2: [4, 22, 5] from Operation: 10-5=5 Current State: 42:[4, 22, 5], Operations: ['10-5=5'] Exploring Operation: 4*5=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 4*5=20 Current State: 42:[22, 20], Operations: ['10-5=5', '4*5=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 3, 42, 61 ]
78
[ "77-42=35", "61-35=26", "3*26=78" ]
Current State: 78:[77, 3, 42, 61], Operations: [] Exploring Operation: 77-42=35, Resulting Numbers: [3, 61, 35] Generated Node #2: [3, 61, 35] from Operation: 77-42=35 Current State: 78:[3, 61, 35], Operations: ['77-42=35'] Exploring Operation: 61-35=26, Resulting Numbers: [3, 26] Generated Node #3: [3, 26] from Operation: 61-35=26 Current State: 78:[3, 26], Operations: ['77-42=35', '61-35=26'] Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 35, 32, 9, 38 ]
50
[ "35-32=3", "9+38=47", "3+47=50" ]
Current State: 50:[35, 32, 9, 38], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [9, 38, 3] Generated Node #2: [9, 38, 3] from Operation: 35-32=3 Current State: 50:[9, 38, 3], Operations: ['35-32=3'] Exploring Operation: 9+38=47, Resulting Numbers: [3, 47] Generated Node #3: [3, 47] from Operation: 9+38=47 Current State: 50:[3, 47], Operations: ['35-32=3', '9+38=47'] Exploring Operation: 3+47=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 82, 68, 64, 30 ]
28
[ "82+30=112", "68-64=4", "112/4=28" ]
Current State: 28:[82, 68, 64, 30], Operations: [] Exploring Operation: 82+30=112, Resulting Numbers: [68, 64, 112] Generated Node #2: [68, 64, 112] from Operation: 82+30=112 Current State: 28:[68, 64, 112], Operations: ['82+30=112'] Exploring Operation: 68-64=4, Resulting Numbers: [112, 4] Generated Node #3: [112, 4] from Operation: 68-64=4 Current State: 28:[112, 4], Operations: ['82+30=112', '68-64=4'] Exploring Operation: 112/4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 24, 83, 97 ]
12
[ "97-83=14", "28/14=2", "24/2=12" ]
Current State: 12:[28, 24, 83, 97], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [28, 24, 14] Generated Node #2: [28, 24, 14] from Operation: 97-83=14 Current State: 12:[28, 24, 14], Operations: ['97-83=14'] Exploring Operation: 28/14=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 28/14=2 Current State: 12:[24, 2], Operations: ['97-83=14', '28/14=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 23, 99, 55, 53 ]
61
[ "23+99=122", "55-53=2", "122/2=61" ]
Current State: 61:[23, 99, 55, 53], Operations: [] Exploring Operation: 23+99=122, Resulting Numbers: [55, 53, 122] Generated Node #2: [55, 53, 122] from Operation: 23+99=122 Current State: 61:[55, 53, 122], Operations: ['23+99=122'] Exploring Operation: 55-53=2, Resulting Numbers: [122, 2] Generated Node #3: [122, 2] from Operation: 55-53=2 Current State: 61:[122, 2], Operations: ['23+99=122', '55-53=2'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 88, 53, 60, 43 ]
94
[ "53-43=10", "60/10=6", "88+6=94" ]
Current State: 94:[88, 53, 60, 43], Operations: [] Exploring Operation: 53-43=10, Resulting Numbers: [88, 60, 10] Generated Node #2: [88, 60, 10] from Operation: 53-43=10 Current State: 94:[88, 60, 10], Operations: ['53-43=10'] Exploring Operation: 60/10=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 60/10=6 Current State: 94:[88, 6], Operations: ['53-43=10', '60/10=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 15, 15, 80 ]
10
[ "15*80=1200", "1200/48=25", "25-15=10" ]
Current State: 10:[48, 15, 15, 80], Operations: [] Exploring Operation: 15*80=1200, Resulting Numbers: [48, 1200] Generated Node #2: [48, 1200] from Operation: 15*80=1200 Current State: 10:[48, 1200], Operations: ['15*80=1200'] Exploring Operation: 1200/48=25, Resulting Numbers: [25] 25,10 equal: Goal Reached Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 35, 54, 67, 54 ]
31
[ "67-35=32", "54/54=1", "32-1=31" ]
Current State: 31:[35, 54, 67, 54], Operations: [] Exploring Operation: 67-35=32, Resulting Numbers: [54, 54, 32] Generated Node #2: [54, 54, 32] from Operation: 67-35=32 Current State: 31:[54, 54, 32], Operations: ['67-35=32'] Exploring Operation: 54/54=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 54/54=1 Current State: 31:[32, 1], Operations: ['67-35=32', '54/54=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 5, 40, 18 ]
51
[ "78-5=73", "40-18=22", "73-22=51" ]
Current State: 51:[78, 5, 40, 18], Operations: [] Exploring Operation: 78-5=73, Resulting Numbers: [40, 18, 73] Generated Node #2: [40, 18, 73] from Operation: 78-5=73 Current State: 51:[40, 18, 73], Operations: ['78-5=73'] Exploring Operation: 40-18=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 40-18=22 Current State: 51:[73, 22], Operations: ['78-5=73', '40-18=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 68, 59, 18 ]
63
[ "31+59=90", "90/18=5", "68-5=63" ]
Current State: 63:[31, 68, 59, 18], Operations: [] Exploring Operation: 31+59=90, Resulting Numbers: [68, 18, 90] Generated Node #2: [68, 18, 90] from Operation: 31+59=90 Current State: 63:[68, 18, 90], Operations: ['31+59=90'] Exploring Operation: 90/18=5, Resulting Numbers: [68, 5] Generated Node #3: [68, 5] from Operation: 90/18=5 Current State: 63:[68, 5], Operations: ['31+59=90', '90/18=5'] Exploring Operation: 68-5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 93, 49, 97, 46 ]
12
[ "97-93=4", "49-46=3", "4*3=12" ]
Current State: 12:[93, 49, 97, 46], Operations: [] Exploring Operation: 97-93=4, Resulting Numbers: [49, 46, 4] Generated Node #2: [49, 46, 4] from Operation: 97-93=4 Current State: 12:[49, 46, 4], Operations: ['97-93=4'] Exploring Operation: 49-46=3, Resulting Numbers: [4, 3] Generated Node #3: [4, 3] from Operation: 49-46=3 Current State: 12:[4, 3], Operations: ['97-93=4', '49-46=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 4, 11, 30, 98 ]
83
[ "4+11=15", "98-30=68", "15+68=83" ]
Current State: 83:[4, 11, 30, 98], Operations: [] Exploring Operation: 4+11=15, Resulting Numbers: [30, 98, 15] Generated Node #2: [30, 98, 15] from Operation: 4+11=15 Current State: 83:[30, 98, 15], Operations: ['4+11=15'] Exploring Operation: 98-30=68, Resulting Numbers: [15, 68] Generated Node #3: [15, 68] from Operation: 98-30=68 Current State: 83:[15, 68], Operations: ['4+11=15', '98-30=68'] Exploring Operation: 15+68=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 97, 26, 84, 96 ]
94
[ "97-84=13", "26/13=2", "96-2=94" ]
Current State: 94:[97, 26, 84, 96], Operations: [] Exploring Operation: 97-84=13, Resulting Numbers: [26, 96, 13] Generated Node #2: [26, 96, 13] from Operation: 97-84=13 Current State: 94:[26, 96, 13], Operations: ['97-84=13'] Exploring Operation: 26/13=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 26/13=2 Current State: 94:[96, 2], Operations: ['97-84=13', '26/13=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 8, 5, 38 ]
70
[ "29+8=37", "38-5=33", "37+33=70" ]
Current State: 70:[29, 8, 5, 38], Operations: [] Exploring Operation: 29+8=37, Resulting Numbers: [5, 38, 37] Generated Node #2: [5, 38, 37] from Operation: 29+8=37 Current State: 70:[5, 38, 37], Operations: ['29+8=37'] Exploring Operation: 38-5=33, Resulting Numbers: [37, 33] Generated Node #3: [37, 33] from Operation: 38-5=33 Current State: 70:[37, 33], Operations: ['29+8=37', '38-5=33'] Exploring Operation: 37+33=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 75, 59, 48 ]
45
[ "75-19=56", "59-48=11", "56-11=45" ]
Current State: 45:[19, 75, 59, 48], Operations: [] Exploring Operation: 75-19=56, Resulting Numbers: [59, 48, 56] Generated Node #2: [59, 48, 56] from Operation: 75-19=56 Current State: 45:[59, 48, 56], Operations: ['75-19=56'] Exploring Operation: 59-48=11, Resulting Numbers: [56, 11] Generated Node #3: [56, 11] from Operation: 59-48=11 Current State: 45:[56, 11], Operations: ['75-19=56', '59-48=11'] Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4