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
[ 7, 74, 17, 75 ]
24
[ "7+17=24", "75-74=1", "24*1=24" ]
Current State: 24:[7, 74, 17, 75], Operations: [] Exploring Operation: 7+17=24, Resulting Numbers: [74, 75, 24] Generated Node #2: [74, 75, 24] from Operation: 7+17=24 Current State: 24:[74, 75, 24], Operations: ['7+17=24'] Exploring Operation: 75-74=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 75-74=1 Current State: 24:[24, 1], Operations: ['7+17=24', '75-74=1'] Exploring Operation: 24*1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 81, 74, 10, 13 ]
21
[ "81-74=7", "13-10=3", "7*3=21" ]
Current State: 21:[81, 74, 10, 13], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [10, 13, 7] Generated Node #2: [10, 13, 7] from Operation: 81-74=7 Current State: 21:[10, 13, 7], Operations: ['81-74=7'] Exploring Operation: 13-10=3, Resulting Numbers: [7, 3] Generated Node #3: [7, 3] from Operation: 13-10=3 Current State: 21:[7, 3], Operations: ['81-74=7', '13-10=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 79, 65, 14, 31 ]
59
[ "79-65=14", "14+31=45", "14+45=59" ]
Current State: 59:[79, 65, 14, 31], Operations: [] Exploring Operation: 79-65=14, Resulting Numbers: [14, 31, 14] Generated Node #2: [14, 31, 14] from Operation: 79-65=14 Current State: 59:[14, 31, 14], Operations: ['79-65=14'] Exploring Operation: 14+31=45, Resulting Numbers: [45] 45,59 equal: Goal Reached Exploring Operation: 14+45=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 9, 79, 37 ]
30
[ "79-16=63", "63/9=7", "37-7=30" ]
Current State: 30:[16, 9, 79, 37], Operations: [] Exploring Operation: 79-16=63, Resulting Numbers: [9, 37, 63] Generated Node #2: [9, 37, 63] from Operation: 79-16=63 Current State: 30:[9, 37, 63], Operations: ['79-16=63'] Exploring Operation: 63/9=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 63/9=7 Current State: 30:[37, 7], Operations: ['79-16=63', '63/9=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 60, 19, 72, 17 ]
84
[ "60*19=1140", "72*17=1224", "1224-1140=84" ]
Current State: 84:[60, 19, 72, 17], Operations: [] Exploring Operation: 60*19=1140, Resulting Numbers: [72, 17, 1140] Generated Node #2: [72, 17, 1140] from Operation: 60*19=1140 Current State: 84:[72, 17, 1140], Operations: ['60*19=1140'] Exploring Operation: 72*17=1224, Resulting Numbers: [1140, 1224] Generated Node #3: [1140, 1224] from Operation: 72*17=1224 Current State: 84:[1140, 1224], Operations: ['60*19=1140', '72*17=1224'] Exploring Operation: 1224-1140=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 66, 88, 14 ]
59
[ "88*14=1232", "66+1232=1298", "1298/22=59" ]
Current State: 59:[22, 66, 88, 14], Operations: [] Exploring Operation: 88*14=1232, Resulting Numbers: [22, 66, 1232] Generated Node #2: [22, 66, 1232] from Operation: 88*14=1232 Current State: 59:[22, 66, 1232], Operations: ['88*14=1232'] Exploring Operation: 66+1232=1298, Resulting Numbers: [22, 1298] Generated Node #3: [22, 1298] from Operation: 66+1232=1298 Current State: 59:[22, 1298], Operations: ['88*14=1232', '66+1232=1298'] Exploring Operation: 1298/22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 70, 55, 81, 77 ]
82
[ "81-70=11", "55/11=5", "77+5=82" ]
Current State: 82:[70, 55, 81, 77], Operations: [] Exploring Operation: 81-70=11, Resulting Numbers: [55, 77, 11] Generated Node #2: [55, 77, 11] from Operation: 81-70=11 Current State: 82:[55, 77, 11], Operations: ['81-70=11'] Exploring Operation: 55/11=5, Resulting Numbers: [77, 5] Generated Node #3: [77, 5] from Operation: 55/11=5 Current State: 82:[77, 5], Operations: ['81-70=11', '55/11=5'] Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 14, 4, 81, 16 ]
100
[ "14*16=224", "4*81=324", "324-224=100" ]
Current State: 100:[14, 4, 81, 16], Operations: [] Exploring Operation: 14*16=224, Resulting Numbers: [4, 81, 224] Generated Node #2: [4, 81, 224] from Operation: 14*16=224 Current State: 100:[4, 81, 224], Operations: ['14*16=224'] Exploring Operation: 4*81=324, Resulting Numbers: [224, 324] Generated Node #3: [224, 324] from Operation: 4*81=324 Current State: 100:[224, 324], Operations: ['14*16=224', '4*81=324'] Exploring Operation: 324-224=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 58, 56, 46, 86 ]
74
[ "58+56=114", "86-46=40", "114-40=74" ]
Current State: 74:[58, 56, 46, 86], Operations: [] Exploring Operation: 58+56=114, Resulting Numbers: [46, 86, 114] Generated Node #2: [46, 86, 114] from Operation: 58+56=114 Current State: 74:[46, 86, 114], Operations: ['58+56=114'] Exploring Operation: 86-46=40, Resulting Numbers: [114, 40] Generated Node #3: [114, 40] from Operation: 86-46=40 Current State: 74:[114, 40], Operations: ['58+56=114', '86-46=40'] Exploring Operation: 114-40=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 95, 80, 20, 5 ]
16
[ "95+5=100", "80*20=1600", "1600/100=16" ]
Current State: 16:[95, 80, 20, 5], Operations: [] Exploring Operation: 95+5=100, Resulting Numbers: [80, 20, 100] Generated Node #2: [80, 20, 100] from Operation: 95+5=100 Current State: 16:[80, 20, 100], Operations: ['95+5=100'] Exploring Operation: 80*20=1600, Resulting Numbers: [100, 1600] Generated Node #3: [100, 1600] from Operation: 80*20=1600 Current State: 16:[100, 1600], Operations: ['95+5=100', '80*20=1600'] Exploring Operation: 1600/100=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 53, 8, 15, 33 ]
79
[ "53+8=61", "33-15=18", "61+18=79" ]
Current State: 79:[53, 8, 15, 33], Operations: [] Exploring Operation: 53+8=61, Resulting Numbers: [15, 33, 61] Generated Node #2: [15, 33, 61] from Operation: 53+8=61 Current State: 79:[15, 33, 61], Operations: ['53+8=61'] Exploring Operation: 33-15=18, Resulting Numbers: [61, 18] Generated Node #3: [61, 18] from Operation: 33-15=18 Current State: 79:[61, 18], Operations: ['53+8=61', '33-15=18'] Exploring Operation: 61+18=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 8, 48, 80, 40 ]
18
[ "80/8=10", "48-40=8", "10+8=18" ]
Current State: 18:[8, 48, 80, 40], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [48, 40, 10] Generated Node #2: [48, 40, 10] from Operation: 80/8=10 Current State: 18:[48, 40, 10], Operations: ['80/8=10'] Exploring Operation: 48-40=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 48-40=8 Current State: 18:[10, 8], Operations: ['80/8=10', '48-40=8'] Exploring Operation: 10+8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 79, 5, 90, 2 ]
82
[ "79-5=74", "90+74=164", "164/2=82" ]
Current State: 82:[79, 5, 90, 2], Operations: [] Exploring Operation: 79-5=74, Resulting Numbers: [90, 2, 74] Generated Node #2: [90, 2, 74] from Operation: 79-5=74 Current State: 82:[90, 2, 74], Operations: ['79-5=74'] Exploring Operation: 90+74=164, Resulting Numbers: [2, 164] Generated Node #3: [2, 164] from Operation: 90+74=164 Current State: 82:[2, 164], Operations: ['79-5=74', '90+74=164'] Exploring Operation: 164/2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 73, 2, 67, 87 ]
55
[ "73+2=75", "87-67=20", "75-20=55" ]
Current State: 55:[73, 2, 67, 87], Operations: [] Exploring Operation: 73+2=75, Resulting Numbers: [67, 87, 75] Generated Node #2: [67, 87, 75] from Operation: 73+2=75 Current State: 55:[67, 87, 75], Operations: ['73+2=75'] Exploring Operation: 87-67=20, Resulting Numbers: [75, 20] Generated Node #3: [75, 20] from Operation: 87-67=20 Current State: 55:[75, 20], Operations: ['73+2=75', '87-67=20'] Exploring Operation: 75-20=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 65, 66, 7, 51 ]
44
[ "66-65=1", "51-7=44", "1*44=44" ]
Current State: 44:[65, 66, 7, 51], Operations: [] Exploring Operation: 66-65=1, Resulting Numbers: [7, 51, 1] Generated Node #2: [7, 51, 1] from Operation: 66-65=1 Current State: 44:[7, 51, 1], Operations: ['66-65=1'] Exploring Operation: 51-7=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 51-7=44 Current State: 44:[1, 44], Operations: ['66-65=1', '51-7=44'] Exploring Operation: 1*44=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 53, 35, 16, 25 ]
47
[ "53+35=88", "16+25=41", "88-41=47" ]
Current State: 47:[53, 35, 16, 25], Operations: [] Exploring Operation: 53+35=88, Resulting Numbers: [16, 25, 88] Generated Node #2: [16, 25, 88] from Operation: 53+35=88 Current State: 47:[16, 25, 88], Operations: ['53+35=88'] Exploring Operation: 16+25=41, Resulting Numbers: [88, 41] Generated Node #3: [88, 41] from Operation: 16+25=41 Current State: 47:[88, 41], Operations: ['53+35=88', '16+25=41'] Exploring Operation: 88-41=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 2, 6, 26, 23 ]
39
[ "6+26=32", "32/2=16", "23+16=39" ]
Current State: 39:[2, 6, 26, 23], Operations: [] Exploring Operation: 6+26=32, Resulting Numbers: [2, 23, 32] Generated Node #2: [2, 23, 32] from Operation: 6+26=32 Current State: 39:[2, 23, 32], Operations: ['6+26=32'] Exploring Operation: 32/2=16, Resulting Numbers: [23, 16] Generated Node #3: [23, 16] from Operation: 32/2=16 Current State: 39:[23, 16], Operations: ['6+26=32', '32/2=16'] Exploring Operation: 23+16=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 97, 13, 85, 54 ]
53
[ "97-13=84", "85-54=31", "84-31=53" ]
Current State: 53:[97, 13, 85, 54], Operations: [] Exploring Operation: 97-13=84, Resulting Numbers: [85, 54, 84] Generated Node #2: [85, 54, 84] from Operation: 97-13=84 Current State: 53:[85, 54, 84], Operations: ['97-13=84'] Exploring Operation: 85-54=31, Resulting Numbers: [84, 31] Generated Node #3: [84, 31] from Operation: 85-54=31 Current State: 53:[84, 31], Operations: ['97-13=84', '85-54=31'] Exploring Operation: 84-31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 30, 40, 63, 4 ]
60
[ "30*4=120", "120/40=3", "63-3=60" ]
Current State: 60:[30, 40, 63, 4], Operations: [] Exploring Operation: 30*4=120, Resulting Numbers: [40, 63, 120] Generated Node #2: [40, 63, 120] from Operation: 30*4=120 Current State: 60:[40, 63, 120], Operations: ['30*4=120'] Exploring Operation: 120/40=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 120/40=3 Current State: 60:[63, 3], Operations: ['30*4=120', '120/40=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 17, 40, 86 ]
83
[ "11+40=51", "51/17=3", "86-3=83" ]
Current State: 83:[11, 17, 40, 86], Operations: [] Exploring Operation: 11+40=51, Resulting Numbers: [17, 86, 51] Generated Node #2: [17, 86, 51] from Operation: 11+40=51 Current State: 83:[17, 86, 51], Operations: ['11+40=51'] Exploring Operation: 51/17=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 51/17=3 Current State: 83:[86, 3], Operations: ['11+40=51', '51/17=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 41, 48, 82, 20 ]
69
[ "48-41=7", "82-20=62", "7+62=69" ]
Current State: 69:[41, 48, 82, 20], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [82, 20, 7] Generated Node #2: [82, 20, 7] from Operation: 48-41=7 Current State: 69:[82, 20, 7], Operations: ['48-41=7'] Exploring Operation: 82-20=62, Resulting Numbers: [7, 62] Generated Node #3: [7, 62] from Operation: 82-20=62 Current State: 69:[7, 62], Operations: ['48-41=7', '82-20=62'] Exploring Operation: 7+62=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 57, 76, 24, 92 ]
87
[ "76-57=19", "92-24=68", "19+68=87" ]
Current State: 87:[57, 76, 24, 92], Operations: [] Exploring Operation: 76-57=19, Resulting Numbers: [24, 92, 19] Generated Node #2: [24, 92, 19] from Operation: 76-57=19 Current State: 87:[24, 92, 19], Operations: ['76-57=19'] Exploring Operation: 92-24=68, Resulting Numbers: [19, 68] Generated Node #3: [19, 68] from Operation: 92-24=68 Current State: 87:[19, 68], Operations: ['76-57=19', '92-24=68'] Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 8, 63, 51, 7 ]
27
[ "8+63=71", "51-7=44", "71-44=27" ]
Current State: 27:[8, 63, 51, 7], Operations: [] Exploring Operation: 8+63=71, Resulting Numbers: [51, 7, 71] Generated Node #2: [51, 7, 71] from Operation: 8+63=71 Current State: 27:[51, 7, 71], Operations: ['8+63=71'] Exploring Operation: 51-7=44, Resulting Numbers: [71, 44] Generated Node #3: [71, 44] from Operation: 51-7=44 Current State: 27:[71, 44], Operations: ['8+63=71', '51-7=44'] Exploring Operation: 71-44=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 70, 45, 43, 8 ]
81
[ "45+43=88", "88/8=11", "70+11=81" ]
Current State: 81:[70, 45, 43, 8], Operations: [] Exploring Operation: 45+43=88, Resulting Numbers: [70, 8, 88] Generated Node #2: [70, 8, 88] from Operation: 45+43=88 Current State: 81:[70, 8, 88], Operations: ['45+43=88'] Exploring Operation: 88/8=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 88/8=11 Current State: 81:[70, 11], Operations: ['45+43=88', '88/8=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 91, 53, 14, 67 ]
63
[ "91+53=144", "14+67=81", "144-81=63" ]
Current State: 63:[91, 53, 14, 67], Operations: [] Exploring Operation: 91+53=144, Resulting Numbers: [14, 67, 144] Generated Node #2: [14, 67, 144] from Operation: 91+53=144 Current State: 63:[14, 67, 144], Operations: ['91+53=144'] Exploring Operation: 14+67=81, Resulting Numbers: [144, 81] Generated Node #3: [144, 81] from Operation: 14+67=81 Current State: 63:[144, 81], Operations: ['91+53=144', '14+67=81'] Exploring Operation: 144-81=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 46, 56, 30, 68 ]
71
[ "56-46=10", "30/10=3", "68+3=71" ]
Current State: 71:[46, 56, 30, 68], Operations: [] Exploring Operation: 56-46=10, Resulting Numbers: [30, 68, 10] Generated Node #2: [30, 68, 10] from Operation: 56-46=10 Current State: 71:[30, 68, 10], Operations: ['56-46=10'] Exploring Operation: 30/10=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 30/10=3 Current State: 71:[68, 3], Operations: ['56-46=10', '30/10=3'] Exploring Operation: 68+3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 73, 7, 14, 45 ]
59
[ "73+45=118", "14/7=2", "118/2=59" ]
Current State: 59:[73, 7, 14, 45], Operations: [] Exploring Operation: 73+45=118, Resulting Numbers: [7, 14, 118] Generated Node #2: [7, 14, 118] from Operation: 73+45=118 Current State: 59:[7, 14, 118], Operations: ['73+45=118'] Exploring Operation: 14/7=2, Resulting Numbers: [118, 2] Generated Node #3: [118, 2] from Operation: 14/7=2 Current State: 59:[118, 2], Operations: ['73+45=118', '14/7=2'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 47, 61, 42, 66 ]
22
[ "61-47=14", "42/14=3", "66/3=22" ]
Current State: 22:[47, 61, 42, 66], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [42, 66, 14] Generated Node #2: [42, 66, 14] from Operation: 61-47=14 Current State: 22:[42, 66, 14], Operations: ['61-47=14'] Exploring Operation: 42/14=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 42/14=3 Current State: 22:[66, 3], Operations: ['61-47=14', '42/14=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 28, 96, 35, 9 ]
89
[ "28+35=63", "63/9=7", "96-7=89" ]
Current State: 89:[28, 96, 35, 9], Operations: [] Exploring Operation: 28+35=63, Resulting Numbers: [96, 9, 63] Generated Node #2: [96, 9, 63] from Operation: 28+35=63 Current State: 89:[96, 9, 63], Operations: ['28+35=63'] Exploring Operation: 63/9=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 63/9=7 Current State: 89:[96, 7], Operations: ['28+35=63', '63/9=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 64, 92, 6, 29 ]
94
[ "64-6=58", "58/29=2", "92+2=94" ]
Current State: 94:[64, 92, 6, 29], Operations: [] Exploring Operation: 64-6=58, Resulting Numbers: [92, 29, 58] Generated Node #2: [92, 29, 58] from Operation: 64-6=58 Current State: 94:[92, 29, 58], Operations: ['64-6=58'] Exploring Operation: 58/29=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 58/29=2 Current State: 94:[92, 2], Operations: ['64-6=58', '58/29=2'] Exploring Operation: 92+2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 48, 32, 13, 24 ]
27
[ "48-32=16", "24-13=11", "16+11=27" ]
Current State: 27:[48, 32, 13, 24], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [13, 24, 16] Generated Node #2: [13, 24, 16] from Operation: 48-32=16 Current State: 27:[13, 24, 16], Operations: ['48-32=16'] Exploring Operation: 24-13=11, Resulting Numbers: [16, 11] Generated Node #3: [16, 11] from Operation: 24-13=11 Current State: 27:[16, 11], Operations: ['48-32=16', '24-13=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 69, 29, 40, 41 ]
98
[ "69+29=98", "41-40=1", "98*1=98" ]
Current State: 98:[69, 29, 40, 41], Operations: [] Exploring Operation: 69+29=98, Resulting Numbers: [40, 41, 98] Generated Node #2: [40, 41, 98] from Operation: 69+29=98 Current State: 98:[40, 41, 98], Operations: ['69+29=98'] Exploring Operation: 41-40=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 41-40=1 Current State: 98:[98, 1], Operations: ['69+29=98', '41-40=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 79, 29, 55, 30 ]
23
[ "79+29=108", "55+30=85", "108-85=23" ]
Current State: 23:[79, 29, 55, 30], Operations: [] Exploring Operation: 79+29=108, Resulting Numbers: [55, 30, 108] Generated Node #2: [55, 30, 108] from Operation: 79+29=108 Current State: 23:[55, 30, 108], Operations: ['79+29=108'] Exploring Operation: 55+30=85, Resulting Numbers: [108, 85] Generated Node #3: [108, 85] from Operation: 55+30=85 Current State: 23:[108, 85], Operations: ['79+29=108', '55+30=85'] Exploring Operation: 108-85=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 59, 44, 45 ]
47
[ "76+59=135", "135/45=3", "44+3=47" ]
Current State: 47:[76, 59, 44, 45], Operations: [] Exploring Operation: 76+59=135, Resulting Numbers: [44, 45, 135] Generated Node #2: [44, 45, 135] from Operation: 76+59=135 Current State: 47:[44, 45, 135], Operations: ['76+59=135'] Exploring Operation: 135/45=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 135/45=3 Current State: 47:[44, 3], Operations: ['76+59=135', '135/45=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 95, 85, 19 ]
81
[ "85/17=5", "95-19=76", "5+76=81" ]
Current State: 81:[17, 95, 85, 19], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [95, 19, 5] Generated Node #2: [95, 19, 5] from Operation: 85/17=5 Current State: 81:[95, 19, 5], Operations: ['85/17=5'] Exploring Operation: 95-19=76, Resulting Numbers: [5, 76] Generated Node #3: [5, 76] from Operation: 95-19=76 Current State: 81:[5, 76], Operations: ['85/17=5', '95-19=76'] Exploring Operation: 5+76=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 85, 38, 16 ]
17
[ "4*16=64", "85-38=47", "64-47=17" ]
Current State: 17:[4, 85, 38, 16], Operations: [] Exploring Operation: 4*16=64, Resulting Numbers: [85, 38, 64] Generated Node #2: [85, 38, 64] from Operation: 4*16=64 Current State: 17:[85, 38, 64], Operations: ['4*16=64'] Exploring Operation: 85-38=47, Resulting Numbers: [64, 47] Generated Node #3: [64, 47] from Operation: 85-38=47 Current State: 17:[64, 47], Operations: ['4*16=64', '85-38=47'] Exploring Operation: 64-47=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 21, 77, 11, 64 ]
19
[ "77-21=56", "11+64=75", "75-56=19" ]
Current State: 19:[21, 77, 11, 64], Operations: [] Exploring Operation: 77-21=56, Resulting Numbers: [11, 64, 56] Generated Node #2: [11, 64, 56] from Operation: 77-21=56 Current State: 19:[11, 64, 56], Operations: ['77-21=56'] Exploring Operation: 11+64=75, Resulting Numbers: [56, 75] Generated Node #3: [56, 75] from Operation: 11+64=75 Current State: 19:[56, 75], Operations: ['77-21=56', '11+64=75'] Exploring Operation: 75-56=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 29, 36, 17, 4 ]
40
[ "36-29=7", "17-7=10", "4*10=40" ]
Current State: 40:[29, 36, 17, 4], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [17, 4, 7] Generated Node #2: [17, 4, 7] from Operation: 36-29=7 Current State: 40:[17, 4, 7], Operations: ['36-29=7'] Exploring Operation: 17-7=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 17-7=10 Current State: 40:[4, 10], Operations: ['36-29=7', '17-7=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 70, 2, 94 ]
86
[ "70-66=4", "2*4=8", "94-8=86" ]
Current State: 86:[66, 70, 2, 94], Operations: [] Exploring Operation: 70-66=4, Resulting Numbers: [2, 94, 4] Generated Node #2: [2, 94, 4] from Operation: 70-66=4 Current State: 86:[2, 94, 4], Operations: ['70-66=4'] Exploring Operation: 2*4=8, Resulting Numbers: [94, 8] Generated Node #3: [94, 8] from Operation: 2*4=8 Current State: 86:[94, 8], Operations: ['70-66=4', '2*4=8'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 14, 28, 48 ]
98
[ "48-44=4", "14*28=392", "392/4=98" ]
Current State: 98:[44, 14, 28, 48], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [14, 28, 4] Generated Node #2: [14, 28, 4] from Operation: 48-44=4 Current State: 98:[14, 28, 4], Operations: ['48-44=4'] Exploring Operation: 14*28=392, Resulting Numbers: [4, 392] Generated Node #3: [4, 392] from Operation: 14*28=392 Current State: 98:[4, 392], Operations: ['48-44=4', '14*28=392'] Exploring Operation: 392/4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 6, 68, 40, 7 ]
58
[ "40*7=280", "68+280=348", "348/6=58" ]
Current State: 58:[6, 68, 40, 7], Operations: [] Exploring Operation: 40*7=280, Resulting Numbers: [6, 68, 280] Generated Node #2: [6, 68, 280] from Operation: 40*7=280 Current State: 58:[6, 68, 280], Operations: ['40*7=280'] Exploring Operation: 68+280=348, Resulting Numbers: [6, 348] Generated Node #3: [6, 348] from Operation: 68+280=348 Current State: 58:[6, 348], Operations: ['40*7=280', '68+280=348'] Exploring Operation: 348/6=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 90, 29, 36, 63 ]
38
[ "90-29=61", "36+63=99", "99-61=38" ]
Current State: 38:[90, 29, 36, 63], Operations: [] Exploring Operation: 90-29=61, Resulting Numbers: [36, 63, 61] Generated Node #2: [36, 63, 61] from Operation: 90-29=61 Current State: 38:[36, 63, 61], Operations: ['90-29=61'] Exploring Operation: 36+63=99, Resulting Numbers: [61, 99] Generated Node #3: [61, 99] from Operation: 36+63=99 Current State: 38:[61, 99], Operations: ['90-29=61', '36+63=99'] Exploring Operation: 99-61=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 43, 41, 17 ]
69
[ "50+43=93", "41-17=24", "93-24=69" ]
Current State: 69:[50, 43, 41, 17], Operations: [] Exploring Operation: 50+43=93, Resulting Numbers: [41, 17, 93] Generated Node #2: [41, 17, 93] from Operation: 50+43=93 Current State: 69:[41, 17, 93], Operations: ['50+43=93'] Exploring Operation: 41-17=24, Resulting Numbers: [93, 24] Generated Node #3: [93, 24] from Operation: 41-17=24 Current State: 69:[93, 24], Operations: ['50+43=93', '41-17=24'] Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 12, 60, 24 ]
91
[ "43+12=55", "60-24=36", "55+36=91" ]
Current State: 91:[43, 12, 60, 24], Operations: [] Exploring Operation: 43+12=55, Resulting Numbers: [60, 24, 55] Generated Node #2: [60, 24, 55] from Operation: 43+12=55 Current State: 91:[60, 24, 55], Operations: ['43+12=55'] Exploring Operation: 60-24=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 60-24=36 Current State: 91:[55, 36], Operations: ['43+12=55', '60-24=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 58, 32, 88, 35 ]
97
[ "58-32=26", "88+35=123", "123-26=97" ]
Current State: 97:[58, 32, 88, 35], Operations: [] Exploring Operation: 58-32=26, Resulting Numbers: [88, 35, 26] Generated Node #2: [88, 35, 26] from Operation: 58-32=26 Current State: 97:[88, 35, 26], Operations: ['58-32=26'] Exploring Operation: 88+35=123, Resulting Numbers: [26, 123] Generated Node #3: [26, 123] from Operation: 88+35=123 Current State: 97:[26, 123], Operations: ['58-32=26', '88+35=123'] Exploring Operation: 123-26=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 11, 50, 42, 11 ]
30
[ "11+50=61", "42-11=31", "61-31=30" ]
Current State: 30:[11, 50, 42, 11], Operations: [] Exploring Operation: 11+50=61, Resulting Numbers: [42, 61] Generated Node #2: [42, 61] from Operation: 11+50=61 Current State: 30:[42, 61], Operations: ['11+50=61'] Exploring Operation: 42-11=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 42-11=31 Current State: 30:[61, 31], Operations: ['11+50=61', '42-11=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 2, 6, 81 ]
69
[ "36*2=72", "72/6=12", "81-12=69" ]
Current State: 69:[36, 2, 6, 81], Operations: [] Exploring Operation: 36*2=72, Resulting Numbers: [6, 81, 72] Generated Node #2: [6, 81, 72] from Operation: 36*2=72 Current State: 69:[6, 81, 72], Operations: ['36*2=72'] Exploring Operation: 72/6=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 72/6=12 Current State: 69:[81, 12], Operations: ['36*2=72', '72/6=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 62, 85, 83, 8 ]
98
[ "85-62=23", "83-8=75", "23+75=98" ]
Current State: 98:[62, 85, 83, 8], Operations: [] Exploring Operation: 85-62=23, Resulting Numbers: [83, 8, 23] Generated Node #2: [83, 8, 23] from Operation: 85-62=23 Current State: 98:[83, 8, 23], Operations: ['85-62=23'] Exploring Operation: 83-8=75, Resulting Numbers: [23, 75] Generated Node #3: [23, 75] from Operation: 83-8=75 Current State: 98:[23, 75], Operations: ['85-62=23', '83-8=75'] Exploring Operation: 23+75=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 27, 35, 33, 56 ]
55
[ "35-33=2", "56/2=28", "27+28=55" ]
Current State: 55:[27, 35, 33, 56], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [27, 56, 2] Generated Node #2: [27, 56, 2] from Operation: 35-33=2 Current State: 55:[27, 56, 2], Operations: ['35-33=2'] Exploring Operation: 56/2=28, Resulting Numbers: [27, 28] Generated Node #3: [27, 28] from Operation: 56/2=28 Current State: 55:[27, 28], Operations: ['35-33=2', '56/2=28'] Exploring Operation: 27+28=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 14, 67, 78 ]
69
[ "94-14=80", "78-67=11", "80-11=69" ]
Current State: 69:[94, 14, 67, 78], Operations: [] Exploring Operation: 94-14=80, Resulting Numbers: [67, 78, 80] Generated Node #2: [67, 78, 80] from Operation: 94-14=80 Current State: 69:[67, 78, 80], Operations: ['94-14=80'] Exploring Operation: 78-67=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 78-67=11 Current State: 69:[80, 11], Operations: ['94-14=80', '78-67=11'] Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 13, 9, 9, 43 ]
13
[ "13-9=4", "9+43=52", "52/4=13" ]
Current State: 13:[13, 9, 9, 43], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [43, 4] Generated Node #2: [43, 4] from Operation: 13-9=4 Current State: 13:[43, 4], Operations: ['13-9=4'] Exploring Operation: 9+43=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 9+43=52 Current State: 13:[4, 52], Operations: ['13-9=4', '9+43=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 75, 64, 11, 8 ]
99
[ "75-64=11", "11*8=88", "11+88=99" ]
Current State: 99:[75, 64, 11, 8], Operations: [] Exploring Operation: 75-64=11, Resulting Numbers: [11, 8, 11] Generated Node #2: [11, 8, 11] from Operation: 75-64=11 Current State: 99:[11, 8, 11], Operations: ['75-64=11'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,99 equal: Goal Reached Exploring Operation: 11+88=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 24, 34, 95, 22 ]
78
[ "24-22=2", "34/2=17", "95-17=78" ]
Current State: 78:[24, 34, 95, 22], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [34, 95, 2] Generated Node #2: [34, 95, 2] from Operation: 24-22=2 Current State: 78:[34, 95, 2], Operations: ['24-22=2'] Exploring Operation: 34/2=17, Resulting Numbers: [95, 17] Generated Node #3: [95, 17] from Operation: 34/2=17 Current State: 78:[95, 17], Operations: ['24-22=2', '34/2=17'] Exploring Operation: 95-17=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 67, 51, 32, 44 ]
28
[ "67-51=16", "44-32=12", "16+12=28" ]
Current State: 28:[67, 51, 32, 44], Operations: [] Exploring Operation: 67-51=16, Resulting Numbers: [32, 44, 16] Generated Node #2: [32, 44, 16] from Operation: 67-51=16 Current State: 28:[32, 44, 16], Operations: ['67-51=16'] Exploring Operation: 44-32=12, Resulting Numbers: [16, 12] Generated Node #3: [16, 12] from Operation: 44-32=12 Current State: 28:[16, 12], Operations: ['67-51=16', '44-32=12'] Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 10, 48, 68 ]
32
[ "52*48=2496", "10+68=78", "2496/78=32" ]
Current State: 32:[52, 10, 48, 68], Operations: [] Exploring Operation: 52*48=2496, Resulting Numbers: [10, 68, 2496] Generated Node #2: [10, 68, 2496] from Operation: 52*48=2496 Current State: 32:[10, 68, 2496], Operations: ['52*48=2496'] Exploring Operation: 10+68=78, Resulting Numbers: [2496, 78] Generated Node #3: [2496, 78] from Operation: 10+68=78 Current State: 32:[2496, 78], Operations: ['52*48=2496', '10+68=78'] Exploring Operation: 2496/78=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 23, 7, 55, 62 ]
72
[ "62-55=7", "7*7=49", "23+49=72" ]
Current State: 72:[23, 7, 55, 62], Operations: [] Exploring Operation: 62-55=7, Resulting Numbers: [23, 7, 7] Generated Node #2: [23, 7, 7] from Operation: 62-55=7 Current State: 72:[23, 7, 7], Operations: ['62-55=7'] Exploring Operation: 7*7=49, Resulting Numbers: [23, 49] Generated Node #3: [23, 49] from Operation: 7*7=49 Current State: 72:[23, 49], Operations: ['62-55=7', '7*7=49'] Exploring Operation: 23+49=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 38, 76, 57, 45 ]
100
[ "76/38=2", "57+45=102", "102-2=100" ]
Current State: 100:[38, 76, 57, 45], Operations: [] Exploring Operation: 76/38=2, Resulting Numbers: [57, 45, 2] Generated Node #2: [57, 45, 2] from Operation: 76/38=2 Current State: 100:[57, 45, 2], Operations: ['76/38=2'] Exploring Operation: 57+45=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 57+45=102 Current State: 100:[2, 102], Operations: ['76/38=2', '57+45=102'] Exploring Operation: 102-2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 50, 77, 2, 45 ]
41
[ "50+77=127", "127-45=82", "82/2=41" ]
Current State: 41:[50, 77, 2, 45], Operations: [] Exploring Operation: 50+77=127, Resulting Numbers: [2, 45, 127] Generated Node #2: [2, 45, 127] from Operation: 50+77=127 Current State: 41:[2, 45, 127], Operations: ['50+77=127'] Exploring Operation: 127-45=82, Resulting Numbers: [2, 82] Generated Node #3: [2, 82] from Operation: 127-45=82 Current State: 41:[2, 82], Operations: ['50+77=127', '127-45=82'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 55, 68, 51, 16 ]
21
[ "55-51=4", "68+16=84", "84/4=21" ]
Current State: 21:[55, 68, 51, 16], Operations: [] Exploring Operation: 55-51=4, Resulting Numbers: [68, 16, 4] Generated Node #2: [68, 16, 4] from Operation: 55-51=4 Current State: 21:[68, 16, 4], Operations: ['55-51=4'] Exploring Operation: 68+16=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 68+16=84 Current State: 21:[4, 84], Operations: ['55-51=4', '68+16=84'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 86, 60, 4 ]
14
[ "86-57=29", "60/4=15", "29-15=14" ]
Current State: 14:[57, 86, 60, 4], Operations: [] Exploring Operation: 86-57=29, Resulting Numbers: [60, 4, 29] Generated Node #2: [60, 4, 29] from Operation: 86-57=29 Current State: 14:[60, 4, 29], Operations: ['86-57=29'] Exploring Operation: 60/4=15, Resulting Numbers: [29, 15] Generated Node #3: [29, 15] from Operation: 60/4=15 Current State: 14:[29, 15], Operations: ['86-57=29', '60/4=15'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 12, 17, 75, 1 ]
14
[ "17-12=5", "75/5=15", "15-1=14" ]
Current State: 14:[12, 17, 75, 1], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [75, 1, 5] Generated Node #2: [75, 1, 5] from Operation: 17-12=5 Current State: 14:[75, 1, 5], Operations: ['17-12=5'] Exploring Operation: 75/5=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 75/5=15 Current State: 14:[1, 15], Operations: ['17-12=5', '75/5=15'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 72, 78, 43, 84 ]
86
[ "72+84=156", "156/78=2", "43*2=86" ]
Current State: 86:[72, 78, 43, 84], Operations: [] Exploring Operation: 72+84=156, Resulting Numbers: [78, 43, 156] Generated Node #2: [78, 43, 156] from Operation: 72+84=156 Current State: 86:[78, 43, 156], Operations: ['72+84=156'] Exploring Operation: 156/78=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 156/78=2 Current State: 86:[43, 2], Operations: ['72+84=156', '156/78=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 82, 48, 3, 43 ]
41
[ "48-3=45", "45-43=2", "82/2=41" ]
Current State: 41:[82, 48, 3, 43], Operations: [] Exploring Operation: 48-3=45, Resulting Numbers: [82, 43, 45] Generated Node #2: [82, 43, 45] from Operation: 48-3=45 Current State: 41:[82, 43, 45], Operations: ['48-3=45'] Exploring Operation: 45-43=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 45-43=2 Current State: 41:[82, 2], Operations: ['48-3=45', '45-43=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 5, 71, 27 ]
79
[ "24-5=19", "71+27=98", "98-19=79" ]
Current State: 79:[24, 5, 71, 27], Operations: [] Exploring Operation: 24-5=19, Resulting Numbers: [71, 27, 19] Generated Node #2: [71, 27, 19] from Operation: 24-5=19 Current State: 79:[71, 27, 19], Operations: ['24-5=19'] Exploring Operation: 71+27=98, Resulting Numbers: [19, 98] Generated Node #3: [19, 98] from Operation: 71+27=98 Current State: 79:[19, 98], Operations: ['24-5=19', '71+27=98'] Exploring Operation: 98-19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 64, 83, 31, 32 ]
21
[ "64*31=1984", "1984/32=62", "83-62=21" ]
Current State: 21:[64, 83, 31, 32], Operations: [] Exploring Operation: 64*31=1984, Resulting Numbers: [83, 32, 1984] Generated Node #2: [83, 32, 1984] from Operation: 64*31=1984 Current State: 21:[83, 32, 1984], Operations: ['64*31=1984'] Exploring Operation: 1984/32=62, Resulting Numbers: [83, 62] Generated Node #3: [83, 62] from Operation: 1984/32=62 Current State: 21:[83, 62], Operations: ['64*31=1984', '1984/32=62'] Exploring Operation: 83-62=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 9, 9, 2, 55 ]
68
[ "9*9=81", "55+81=136", "136/2=68" ]
Current State: 68:[9, 9, 2, 55], Operations: [] Exploring Operation: 9*9=81, Resulting Numbers: [2, 55, 81] Generated Node #2: [2, 55, 81] from Operation: 9*9=81 Current State: 68:[2, 55, 81], Operations: ['9*9=81'] Exploring Operation: 55+81=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 55+81=136 Current State: 68:[2, 136], Operations: ['9*9=81', '55+81=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 85, 60, 5, 45 ]
100
[ "85-60=25", "45-25=20", "5*20=100" ]
Current State: 100:[85, 60, 5, 45], Operations: [] Exploring Operation: 85-60=25, Resulting Numbers: [5, 45, 25] Generated Node #2: [5, 45, 25] from Operation: 85-60=25 Current State: 100:[5, 45, 25], Operations: ['85-60=25'] Exploring Operation: 45-25=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 45-25=20 Current State: 100:[5, 20], Operations: ['85-60=25', '45-25=20'] Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 92, 4, 15 ]
49
[ "87-15=72", "92/4=23", "72-23=49" ]
Current State: 49:[87, 92, 4, 15], Operations: [] Exploring Operation: 87-15=72, Resulting Numbers: [92, 4, 72] Generated Node #2: [92, 4, 72] from Operation: 87-15=72 Current State: 49:[92, 4, 72], Operations: ['87-15=72'] Exploring Operation: 92/4=23, Resulting Numbers: [72, 23] Generated Node #3: [72, 23] from Operation: 92/4=23 Current State: 49:[72, 23], Operations: ['87-15=72', '92/4=23'] Exploring Operation: 72-23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 69, 69, 15, 81 ]
95
[ "69/69=1", "15+81=96", "96-1=95" ]
Current State: 95:[69, 69, 15, 81], Operations: [] Exploring Operation: 69/69=1, Resulting Numbers: [15, 81, 1] Generated Node #2: [15, 81, 1] from Operation: 69/69=1 Current State: 95:[15, 81, 1], Operations: ['69/69=1'] Exploring Operation: 15+81=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 15+81=96 Current State: 95:[1, 96], Operations: ['69/69=1', '15+81=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 91, 86, 84, 79 ]
71
[ "86-79=7", "91/7=13", "84-13=71" ]
Current State: 71:[91, 86, 84, 79], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [91, 84, 7] Generated Node #2: [91, 84, 7] from Operation: 86-79=7 Current State: 71:[91, 84, 7], Operations: ['86-79=7'] Exploring Operation: 91/7=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 91/7=13 Current State: 71:[84, 13], Operations: ['86-79=7', '91/7=13'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 80, 36, 20, 41 ]
20
[ "80+20=100", "41-36=5", "100/5=20" ]
Current State: 20:[80, 36, 20, 41], Operations: [] Exploring Operation: 80+20=100, Resulting Numbers: [36, 41, 100] Generated Node #2: [36, 41, 100] from Operation: 80+20=100 Current State: 20:[36, 41, 100], Operations: ['80+20=100'] Exploring Operation: 41-36=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 41-36=5 Current State: 20:[100, 5], Operations: ['80+20=100', '41-36=5'] Exploring Operation: 100/5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 76, 47, 7, 4 ]
88
[ "76-47=29", "29-7=22", "4*22=88" ]
Current State: 88:[76, 47, 7, 4], Operations: [] Exploring Operation: 76-47=29, Resulting Numbers: [7, 4, 29] Generated Node #2: [7, 4, 29] from Operation: 76-47=29 Current State: 88:[7, 4, 29], Operations: ['76-47=29'] Exploring Operation: 29-7=22, Resulting Numbers: [4, 22] Generated Node #3: [4, 22] from Operation: 29-7=22 Current State: 88:[4, 22], Operations: ['76-47=29', '29-7=22'] Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 99, 3, 52, 42 ]
92
[ "99+3=102", "52-42=10", "102-10=92" ]
Current State: 92:[99, 3, 52, 42], Operations: [] Exploring Operation: 99+3=102, Resulting Numbers: [52, 42, 102] Generated Node #2: [52, 42, 102] from Operation: 99+3=102 Current State: 92:[52, 42, 102], Operations: ['99+3=102'] Exploring Operation: 52-42=10, Resulting Numbers: [102, 10] Generated Node #3: [102, 10] from Operation: 52-42=10 Current State: 92:[102, 10], Operations: ['99+3=102', '52-42=10'] Exploring Operation: 102-10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 88, 19, 27 ]
16
[ "88+19=107", "107-27=80", "80/5=16" ]
Current State: 16:[5, 88, 19, 27], Operations: [] Exploring Operation: 88+19=107, Resulting Numbers: [5, 27, 107] Generated Node #2: [5, 27, 107] from Operation: 88+19=107 Current State: 16:[5, 27, 107], Operations: ['88+19=107'] Exploring Operation: 107-27=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 107-27=80 Current State: 16:[5, 80], Operations: ['88+19=107', '107-27=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 31, 89, 71, 20 ]
39
[ "89+71=160", "160/20=8", "31+8=39" ]
Current State: 39:[31, 89, 71, 20], Operations: [] Exploring Operation: 89+71=160, Resulting Numbers: [31, 20, 160] Generated Node #2: [31, 20, 160] from Operation: 89+71=160 Current State: 39:[31, 20, 160], Operations: ['89+71=160'] Exploring Operation: 160/20=8, Resulting Numbers: [31, 8] Generated Node #3: [31, 8] from Operation: 160/20=8 Current State: 39:[31, 8], Operations: ['89+71=160', '160/20=8'] Exploring Operation: 31+8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 6, 7, 51, 54 ]
16
[ "6+7=13", "54-51=3", "13+3=16" ]
Current State: 16:[6, 7, 51, 54], Operations: [] Exploring Operation: 6+7=13, Resulting Numbers: [51, 54, 13] Generated Node #2: [51, 54, 13] from Operation: 6+7=13 Current State: 16:[51, 54, 13], Operations: ['6+7=13'] Exploring Operation: 54-51=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 54-51=3 Current State: 16:[13, 3], Operations: ['6+7=13', '54-51=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 28, 85, 39 ]
42
[ "69*28=1932", "85-39=46", "1932/46=42" ]
Current State: 42:[69, 28, 85, 39], Operations: [] Exploring Operation: 69*28=1932, Resulting Numbers: [85, 39, 1932] Generated Node #2: [85, 39, 1932] from Operation: 69*28=1932 Current State: 42:[85, 39, 1932], Operations: ['69*28=1932'] Exploring Operation: 85-39=46, Resulting Numbers: [1932, 46] Generated Node #3: [1932, 46] from Operation: 85-39=46 Current State: 42:[1932, 46], Operations: ['69*28=1932', '85-39=46'] Exploring Operation: 1932/46=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 67, 15, 76 ]
98
[ "87-76=11", "15*11=165", "165-67=98" ]
Current State: 98:[87, 67, 15, 76], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [67, 15, 11] Generated Node #2: [67, 15, 11] from Operation: 87-76=11 Current State: 98:[67, 15, 11], Operations: ['87-76=11'] Exploring Operation: 15*11=165, Resulting Numbers: [67, 165] Generated Node #3: [67, 165] from Operation: 15*11=165 Current State: 98:[67, 165], Operations: ['87-76=11', '15*11=165'] Exploring Operation: 165-67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 79, 84, 30, 63 ]
57
[ "84-79=5", "30/5=6", "63-6=57" ]
Current State: 57:[79, 84, 30, 63], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [30, 63, 5] Generated Node #2: [30, 63, 5] from Operation: 84-79=5 Current State: 57:[30, 63, 5], Operations: ['84-79=5'] Exploring Operation: 30/5=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 30/5=6 Current State: 57:[63, 6], Operations: ['84-79=5', '30/5=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 70, 87, 88, 22 ]
55
[ "87+88=175", "22*175=3850", "3850/70=55" ]
Current State: 55:[70, 87, 88, 22], Operations: [] Exploring Operation: 87+88=175, Resulting Numbers: [70, 22, 175] Generated Node #2: [70, 22, 175] from Operation: 87+88=175 Current State: 55:[70, 22, 175], Operations: ['87+88=175'] Exploring Operation: 22*175=3850, Resulting Numbers: [70, 3850] Generated Node #3: [70, 3850] from Operation: 22*175=3850 Current State: 55:[70, 3850], Operations: ['87+88=175', '22*175=3850'] Exploring Operation: 3850/70=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 48, 46, 67, 90 ]
50
[ "90-67=23", "46/23=2", "48+2=50" ]
Current State: 50:[48, 46, 67, 90], Operations: [] Exploring Operation: 90-67=23, Resulting Numbers: [48, 46, 23] Generated Node #2: [48, 46, 23] from Operation: 90-67=23 Current State: 50:[48, 46, 23], Operations: ['90-67=23'] Exploring Operation: 46/23=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 46/23=2 Current State: 50:[48, 2], Operations: ['90-67=23', '46/23=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 30, 88, 65, 92 ]
39
[ "30+88=118", "65+92=157", "157-118=39" ]
Current State: 39:[30, 88, 65, 92], Operations: [] Exploring Operation: 30+88=118, Resulting Numbers: [65, 92, 118] Generated Node #2: [65, 92, 118] from Operation: 30+88=118 Current State: 39:[65, 92, 118], Operations: ['30+88=118'] Exploring Operation: 65+92=157, Resulting Numbers: [118, 157] Generated Node #3: [118, 157] from Operation: 65+92=157 Current State: 39:[118, 157], Operations: ['30+88=118', '65+92=157'] Exploring Operation: 157-118=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 15, 56, 63, 92 ]
42
[ "15+56=71", "92-63=29", "71-29=42" ]
Current State: 42:[15, 56, 63, 92], Operations: [] Exploring Operation: 15+56=71, Resulting Numbers: [63, 92, 71] Generated Node #2: [63, 92, 71] from Operation: 15+56=71 Current State: 42:[63, 92, 71], Operations: ['15+56=71'] Exploring Operation: 92-63=29, Resulting Numbers: [71, 29] Generated Node #3: [71, 29] from Operation: 92-63=29 Current State: 42:[71, 29], Operations: ['15+56=71', '92-63=29'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 77, 10, 63, 81 ]
67
[ "77+63=140", "140/10=14", "81-14=67" ]
Current State: 67:[77, 10, 63, 81], Operations: [] Exploring Operation: 77+63=140, Resulting Numbers: [10, 81, 140] Generated Node #2: [10, 81, 140] from Operation: 77+63=140 Current State: 67:[10, 81, 140], Operations: ['77+63=140'] Exploring Operation: 140/10=14, Resulting Numbers: [81, 14] Generated Node #3: [81, 14] from Operation: 140/10=14 Current State: 67:[81, 14], Operations: ['77+63=140', '140/10=14'] Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 16, 40, 19, 80 ]
43
[ "16+40=56", "19+80=99", "99-56=43" ]
Current State: 43:[16, 40, 19, 80], Operations: [] Exploring Operation: 16+40=56, Resulting Numbers: [19, 80, 56] Generated Node #2: [19, 80, 56] from Operation: 16+40=56 Current State: 43:[19, 80, 56], Operations: ['16+40=56'] Exploring Operation: 19+80=99, Resulting Numbers: [56, 99] Generated Node #3: [56, 99] from Operation: 19+80=99 Current State: 43:[56, 99], Operations: ['16+40=56', '19+80=99'] Exploring Operation: 99-56=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 9, 84, 10, 21 ]
76
[ "9+10=19", "84/21=4", "19*4=76" ]
Current State: 76:[9, 84, 10, 21], Operations: [] Exploring Operation: 9+10=19, Resulting Numbers: [84, 21, 19] Generated Node #2: [84, 21, 19] from Operation: 9+10=19 Current State: 76:[84, 21, 19], Operations: ['9+10=19'] Exploring Operation: 84/21=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 84/21=4 Current State: 76:[19, 4], Operations: ['9+10=19', '84/21=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 77, 28, 42, 21 ]
91
[ "28*21=588", "588/42=14", "77+14=91" ]
Current State: 91:[77, 28, 42, 21], Operations: [] Exploring Operation: 28*21=588, Resulting Numbers: [77, 42, 588] Generated Node #2: [77, 42, 588] from Operation: 28*21=588 Current State: 91:[77, 42, 588], Operations: ['28*21=588'] Exploring Operation: 588/42=14, Resulting Numbers: [77, 14] Generated Node #3: [77, 14] from Operation: 588/42=14 Current State: 91:[77, 14], Operations: ['28*21=588', '588/42=14'] Exploring Operation: 77+14=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 28, 23, 70 ]
14
[ "28*23=644", "644-70=574", "574/41=14" ]
Current State: 14:[41, 28, 23, 70], Operations: [] Exploring Operation: 28*23=644, Resulting Numbers: [41, 70, 644] Generated Node #2: [41, 70, 644] from Operation: 28*23=644 Current State: 14:[41, 70, 644], Operations: ['28*23=644'] Exploring Operation: 644-70=574, Resulting Numbers: [41, 574] Generated Node #3: [41, 574] from Operation: 644-70=574 Current State: 14:[41, 574], Operations: ['28*23=644', '644-70=574'] Exploring Operation: 574/41=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 55, 3, 35, 68 ]
91
[ "55+3=58", "68-35=33", "58+33=91" ]
Current State: 91:[55, 3, 35, 68], Operations: [] Exploring Operation: 55+3=58, Resulting Numbers: [35, 68, 58] Generated Node #2: [35, 68, 58] from Operation: 55+3=58 Current State: 91:[35, 68, 58], Operations: ['55+3=58'] Exploring Operation: 68-35=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 68-35=33 Current State: 91:[58, 33], Operations: ['55+3=58', '68-35=33'] Exploring Operation: 58+33=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 95, 86, 88, 88 ]
86
[ "88-88=0", "95*0=0", "86+0=86" ]
Current State: 86:[95, 86, 88, 88], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [95, 86, 0] Generated Node #2: [95, 86, 0] from Operation: 88-88=0 Current State: 86:[95, 86, 0], Operations: ['88-88=0'] Exploring Operation: 95*0=0, Resulting Numbers: [86, 0] Generated Node #3: [86, 0] from Operation: 95*0=0 Current State: 86:[86, 0], Operations: ['88-88=0', '95*0=0'] Exploring Operation: 86+0=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 89, 10, 94, 78 ]
94
[ "89-10=79", "79-78=1", "94*1=94" ]
Current State: 94:[89, 10, 94, 78], Operations: [] Exploring Operation: 89-10=79, Resulting Numbers: [94, 78, 79] Generated Node #2: [94, 78, 79] from Operation: 89-10=79 Current State: 94:[94, 78, 79], Operations: ['89-10=79'] Exploring Operation: 79-78=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 79-78=1 Current State: 94:[94, 1], Operations: ['89-10=79', '79-78=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 28, 95, 44, 14 ]
73
[ "28/14=2", "44/2=22", "95-22=73" ]
Current State: 73:[28, 95, 44, 14], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [95, 44, 2] Generated Node #2: [95, 44, 2] from Operation: 28/14=2 Current State: 73:[95, 44, 2], Operations: ['28/14=2'] Exploring Operation: 44/2=22, Resulting Numbers: [95, 22] Generated Node #3: [95, 22] from Operation: 44/2=22 Current State: 73:[95, 22], Operations: ['28/14=2', '44/2=22'] Exploring Operation: 95-22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 78, 36, 11, 6 ]
30
[ "78+36=114", "114/6=19", "11+19=30" ]
Current State: 30:[78, 36, 11, 6], Operations: [] Exploring Operation: 78+36=114, Resulting Numbers: [11, 6, 114] Generated Node #2: [11, 6, 114] from Operation: 78+36=114 Current State: 30:[11, 6, 114], Operations: ['78+36=114'] Exploring Operation: 114/6=19, Resulting Numbers: [11, 19] Generated Node #3: [11, 19] from Operation: 114/6=19 Current State: 30:[11, 19], Operations: ['78+36=114', '114/6=19'] Exploring Operation: 11+19=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 77, 46, 42, 18 ]
99
[ "77+46=123", "42-18=24", "123-24=99" ]
Current State: 99:[77, 46, 42, 18], Operations: [] Exploring Operation: 77+46=123, Resulting Numbers: [42, 18, 123] Generated Node #2: [42, 18, 123] from Operation: 77+46=123 Current State: 99:[42, 18, 123], Operations: ['77+46=123'] Exploring Operation: 42-18=24, Resulting Numbers: [123, 24] Generated Node #3: [123, 24] from Operation: 42-18=24 Current State: 99:[123, 24], Operations: ['77+46=123', '42-18=24'] Exploring Operation: 123-24=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 87, 97, 6, 46 ]
14
[ "97-87=10", "6*10=60", "60-46=14" ]
Current State: 14:[87, 97, 6, 46], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [6, 46, 10] Generated Node #2: [6, 46, 10] from Operation: 97-87=10 Current State: 14:[6, 46, 10], Operations: ['97-87=10'] Exploring Operation: 6*10=60, Resulting Numbers: [46, 60] Generated Node #3: [46, 60] from Operation: 6*10=60 Current State: 14:[46, 60], Operations: ['97-87=10', '6*10=60'] Exploring Operation: 60-46=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 59, 59, 19, 77 ]
59
[ "59/59=1", "77-19=58", "1+58=59" ]
Current State: 59:[59, 59, 19, 77], Operations: [] Exploring Operation: 59/59=1, Resulting Numbers: [19, 77, 1] Generated Node #2: [19, 77, 1] from Operation: 59/59=1 Current State: 59:[19, 77, 1], Operations: ['59/59=1'] Exploring Operation: 77-19=58, Resulting Numbers: [1, 58] Generated Node #3: [1, 58] from Operation: 77-19=58 Current State: 59:[1, 58], Operations: ['59/59=1', '77-19=58'] Exploring Operation: 1+58=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 80, 74, 36, 66 ]
63
[ "74+66=140", "36*140=5040", "5040/80=63" ]
Current State: 63:[80, 74, 36, 66], Operations: [] Exploring Operation: 74+66=140, Resulting Numbers: [80, 36, 140] Generated Node #2: [80, 36, 140] from Operation: 74+66=140 Current State: 63:[80, 36, 140], Operations: ['74+66=140'] Exploring Operation: 36*140=5040, Resulting Numbers: [80, 5040] Generated Node #3: [80, 5040] from Operation: 36*140=5040 Current State: 63:[80, 5040], Operations: ['74+66=140', '36*140=5040'] Exploring Operation: 5040/80=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 22, 64, 71, 82 ]
97
[ "22+64=86", "82-71=11", "86+11=97" ]
Current State: 97:[22, 64, 71, 82], Operations: [] Exploring Operation: 22+64=86, Resulting Numbers: [71, 82, 86] Generated Node #2: [71, 82, 86] from Operation: 22+64=86 Current State: 97:[71, 82, 86], Operations: ['22+64=86'] Exploring Operation: 82-71=11, Resulting Numbers: [86, 11] Generated Node #3: [86, 11] from Operation: 82-71=11 Current State: 97:[86, 11], Operations: ['22+64=86', '82-71=11'] Exploring Operation: 86+11=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 89, 3, 72, 83 ]
15
[ "89-83=6", "72/6=12", "3+12=15" ]
Current State: 15:[89, 3, 72, 83], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [3, 72, 6] Generated Node #2: [3, 72, 6] from Operation: 89-83=6 Current State: 15:[3, 72, 6], Operations: ['89-83=6'] Exploring Operation: 72/6=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 72/6=12 Current State: 15:[3, 12], Operations: ['89-83=6', '72/6=12'] Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 47, 30, 16 ]
29
[ "62-47=15", "30-16=14", "15+14=29" ]
Current State: 29:[62, 47, 30, 16], Operations: [] Exploring Operation: 62-47=15, Resulting Numbers: [30, 16, 15] Generated Node #2: [30, 16, 15] from Operation: 62-47=15 Current State: 29:[30, 16, 15], Operations: ['62-47=15'] Exploring Operation: 30-16=14, Resulting Numbers: [15, 14] Generated Node #3: [15, 14] from Operation: 30-16=14 Current State: 29:[15, 14], Operations: ['62-47=15', '30-16=14'] Exploring Operation: 15+14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4