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
[ 55, 19, 48, 58 ]
46
[ "55-19=36", "58-48=10", "36+10=46" ]
Current State: 46:[55, 19, 48, 58], Operations: [] Exploring Operation: 55-19=36, Resulting Numbers: [48, 58, 36] Generated Node #2: [48, 58, 36] from Operation: 55-19=36 Current State: 46:[48, 58, 36], Operations: ['55-19=36'] Exploring Operation: 58-48=10, Resulting Numbers: [36, 10] Generated Node #3: [36, 10] from Operation: 58-48=10 Current State: 46:[36, 10], Operations: ['55-19=36', '58-48=10'] Exploring Operation: 36+10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 25, 75, 61 ]
80
[ "16+61=77", "75/25=3", "77+3=80" ]
Current State: 80:[16, 25, 75, 61], Operations: [] Exploring Operation: 16+61=77, Resulting Numbers: [25, 75, 77] Generated Node #2: [25, 75, 77] from Operation: 16+61=77 Current State: 80:[25, 75, 77], Operations: ['16+61=77'] Exploring Operation: 75/25=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 75/25=3 Current State: 80:[77, 3], Operations: ['16+61=77', '75/25=3'] Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 57, 13, 55, 87 ]
76
[ "57-13=44", "87-55=32", "44+32=76" ]
Current State: 76:[57, 13, 55, 87], Operations: [] Exploring Operation: 57-13=44, Resulting Numbers: [55, 87, 44] Generated Node #2: [55, 87, 44] from Operation: 57-13=44 Current State: 76:[55, 87, 44], Operations: ['57-13=44'] Exploring Operation: 87-55=32, Resulting Numbers: [44, 32] Generated Node #3: [44, 32] from Operation: 87-55=32 Current State: 76:[44, 32], Operations: ['57-13=44', '87-55=32'] Exploring Operation: 44+32=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 1, 5, 44, 19 ]
11
[ "1+19=20", "5*44=220", "220/20=11" ]
Current State: 11:[1, 5, 44, 19], Operations: [] Exploring Operation: 1+19=20, Resulting Numbers: [5, 44, 20] Generated Node #2: [5, 44, 20] from Operation: 1+19=20 Current State: 11:[5, 44, 20], Operations: ['1+19=20'] Exploring Operation: 5*44=220, Resulting Numbers: [20, 220] Generated Node #3: [20, 220] from Operation: 5*44=220 Current State: 11:[20, 220], Operations: ['1+19=20', '5*44=220'] Exploring Operation: 220/20=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 95, 24, 26, 98 ]
53
[ "95-24=71", "26+98=124", "124-71=53" ]
Current State: 53:[95, 24, 26, 98], Operations: [] Exploring Operation: 95-24=71, Resulting Numbers: [26, 98, 71] Generated Node #2: [26, 98, 71] from Operation: 95-24=71 Current State: 53:[26, 98, 71], Operations: ['95-24=71'] Exploring Operation: 26+98=124, Resulting Numbers: [71, 124] Generated Node #3: [71, 124] from Operation: 26+98=124 Current State: 53:[71, 124], Operations: ['95-24=71', '26+98=124'] Exploring Operation: 124-71=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 88, 30, 52, 36 ]
29
[ "88-52=36", "36/36=1", "30-1=29" ]
Current State: 29:[88, 30, 52, 36], Operations: [] Exploring Operation: 88-52=36, Resulting Numbers: [30, 36, 36] Generated Node #2: [30, 36, 36] from Operation: 88-52=36 Current State: 29:[30, 36, 36], Operations: ['88-52=36'] Exploring Operation: 36/36=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 36/36=1 Current State: 29:[30, 1], Operations: ['88-52=36', '36/36=1'] Exploring Operation: 30-1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 19, 12, 93 ]
77
[ "93-85=8", "12*8=96", "96-19=77" ]
Current State: 77:[85, 19, 12, 93], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [19, 12, 8] Generated Node #2: [19, 12, 8] from Operation: 93-85=8 Current State: 77:[19, 12, 8], Operations: ['93-85=8'] Exploring Operation: 12*8=96, Resulting Numbers: [19, 96] Generated Node #3: [19, 96] from Operation: 12*8=96 Current State: 77:[19, 96], Operations: ['93-85=8', '12*8=96'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 22, 53, 4, 59 ]
11
[ "53+4=57", "59-57=2", "22/2=11" ]
Current State: 11:[22, 53, 4, 59], Operations: [] Exploring Operation: 53+4=57, Resulting Numbers: [22, 59, 57] Generated Node #2: [22, 59, 57] from Operation: 53+4=57 Current State: 11:[22, 59, 57], Operations: ['53+4=57'] Exploring Operation: 59-57=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 59-57=2 Current State: 11:[22, 2], Operations: ['53+4=57', '59-57=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 20, 35, 81, 73 ]
14
[ "81-73=8", "35*8=280", "280/20=14" ]
Current State: 14:[20, 35, 81, 73], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [20, 35, 8] Generated Node #2: [20, 35, 8] from Operation: 81-73=8 Current State: 14:[20, 35, 8], Operations: ['81-73=8'] Exploring Operation: 35*8=280, Resulting Numbers: [20, 280] Generated Node #3: [20, 280] from Operation: 35*8=280 Current State: 14:[20, 280], Operations: ['81-73=8', '35*8=280'] Exploring Operation: 280/20=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 28, 26, 64, 11 ]
51
[ "28-26=2", "64-11=53", "53-2=51" ]
Current State: 51:[28, 26, 64, 11], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [64, 11, 2] Generated Node #2: [64, 11, 2] from Operation: 28-26=2 Current State: 51:[64, 11, 2], Operations: ['28-26=2'] Exploring Operation: 64-11=53, Resulting Numbers: [2, 53] Generated Node #3: [2, 53] from Operation: 64-11=53 Current State: 51:[2, 53], Operations: ['28-26=2', '64-11=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 8, 11, 89, 30 ]
56
[ "11-8=3", "89-30=59", "59-3=56" ]
Current State: 56:[8, 11, 89, 30], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [89, 30, 3] Generated Node #2: [89, 30, 3] from Operation: 11-8=3 Current State: 56:[89, 30, 3], Operations: ['11-8=3'] Exploring Operation: 89-30=59, Resulting Numbers: [3, 59] Generated Node #3: [3, 59] from Operation: 89-30=59 Current State: 56:[3, 59], Operations: ['11-8=3', '89-30=59'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 93, 71, 51, 27 ]
46
[ "93-71=22", "51-27=24", "22+24=46" ]
Current State: 46:[93, 71, 51, 27], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [51, 27, 22] Generated Node #2: [51, 27, 22] from Operation: 93-71=22 Current State: 46:[51, 27, 22], Operations: ['93-71=22'] Exploring Operation: 51-27=24, Resulting Numbers: [22, 24] Generated Node #3: [22, 24] from Operation: 51-27=24 Current State: 46:[22, 24], Operations: ['93-71=22', '51-27=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 21, 50, 75, 19 ]
33
[ "21*50=1050", "1050/75=14", "19+14=33" ]
Current State: 33:[21, 50, 75, 19], Operations: [] Exploring Operation: 21*50=1050, Resulting Numbers: [75, 19, 1050] Generated Node #2: [75, 19, 1050] from Operation: 21*50=1050 Current State: 33:[75, 19, 1050], Operations: ['21*50=1050'] Exploring Operation: 1050/75=14, Resulting Numbers: [19, 14] Generated Node #3: [19, 14] from Operation: 1050/75=14 Current State: 33:[19, 14], Operations: ['21*50=1050', '1050/75=14'] Exploring Operation: 19+14=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 88, 68, 82, 54 ]
59
[ "88-82=6", "54/6=9", "68-9=59" ]
Current State: 59:[88, 68, 82, 54], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [68, 54, 6] Generated Node #2: [68, 54, 6] from Operation: 88-82=6 Current State: 59:[68, 54, 6], Operations: ['88-82=6'] Exploring Operation: 54/6=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 54/6=9 Current State: 59:[68, 9], Operations: ['88-82=6', '54/6=9'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 67, 88, 19, 18 ]
58
[ "88-67=21", "19+18=37", "21+37=58" ]
Current State: 58:[67, 88, 19, 18], Operations: [] Exploring Operation: 88-67=21, Resulting Numbers: [19, 18, 21] Generated Node #2: [19, 18, 21] from Operation: 88-67=21 Current State: 58:[19, 18, 21], Operations: ['88-67=21'] Exploring Operation: 19+18=37, Resulting Numbers: [21, 37] Generated Node #3: [21, 37] from Operation: 19+18=37 Current State: 58:[21, 37], Operations: ['88-67=21', '19+18=37'] Exploring Operation: 21+37=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 89, 63, 46, 40 ]
91
[ "63-40=23", "46/23=2", "89+2=91" ]
Current State: 91:[89, 63, 46, 40], Operations: [] Exploring Operation: 63-40=23, Resulting Numbers: [89, 46, 23] Generated Node #2: [89, 46, 23] from Operation: 63-40=23 Current State: 91:[89, 46, 23], Operations: ['63-40=23'] Exploring Operation: 46/23=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 46/23=2 Current State: 91:[89, 2], Operations: ['63-40=23', '46/23=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 35, 83, 89 ]
47
[ "89-83=6", "72/6=12", "35+12=47" ]
Current State: 47:[72, 35, 83, 89], Operations: [] Exploring Operation: 89-83=6, Resulting Numbers: [72, 35, 6] Generated Node #2: [72, 35, 6] from Operation: 89-83=6 Current State: 47:[72, 35, 6], Operations: ['89-83=6'] Exploring Operation: 72/6=12, Resulting Numbers: [35, 12] Generated Node #3: [35, 12] from Operation: 72/6=12 Current State: 47:[35, 12], Operations: ['89-83=6', '72/6=12'] Exploring Operation: 35+12=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 86, 19, 47 ]
45
[ "24+19=43", "86/43=2", "47-2=45" ]
Current State: 45:[24, 86, 19, 47], Operations: [] Exploring Operation: 24+19=43, Resulting Numbers: [86, 47, 43] Generated Node #2: [86, 47, 43] from Operation: 24+19=43 Current State: 45:[86, 47, 43], Operations: ['24+19=43'] Exploring Operation: 86/43=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 86/43=2 Current State: 45:[47, 2], Operations: ['24+19=43', '86/43=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 53, 26, 78, 14 ]
24
[ "53-14=39", "78/39=2", "26-2=24" ]
Current State: 24:[53, 26, 78, 14], Operations: [] Exploring Operation: 53-14=39, Resulting Numbers: [26, 78, 39] Generated Node #2: [26, 78, 39] from Operation: 53-14=39 Current State: 24:[26, 78, 39], Operations: ['53-14=39'] Exploring Operation: 78/39=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 78/39=2 Current State: 24:[26, 2], Operations: ['53-14=39', '78/39=2'] Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 6, 85, 66, 66 ]
90
[ "6+85=91", "66/66=1", "91-1=90" ]
Current State: 90:[6, 85, 66, 66], Operations: [] Exploring Operation: 6+85=91, Resulting Numbers: [66, 66, 91] Generated Node #2: [66, 66, 91] from Operation: 6+85=91 Current State: 90:[66, 66, 91], Operations: ['6+85=91'] Exploring Operation: 66/66=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 66/66=1 Current State: 90:[91, 1], Operations: ['6+85=91', '66/66=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 2, 64, 65, 35 ]
34
[ "2+64=66", "65+35=100", "100-66=34" ]
Current State: 34:[2, 64, 65, 35], Operations: [] Exploring Operation: 2+64=66, Resulting Numbers: [65, 35, 66] Generated Node #2: [65, 35, 66] from Operation: 2+64=66 Current State: 34:[65, 35, 66], Operations: ['2+64=66'] Exploring Operation: 65+35=100, Resulting Numbers: [66, 100] Generated Node #3: [66, 100] from Operation: 65+35=100 Current State: 34:[66, 100], Operations: ['2+64=66', '65+35=100'] Exploring Operation: 100-66=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 89, 32, 7, 9 ]
41
[ "89-32=57", "7+9=16", "57-16=41" ]
Current State: 41:[89, 32, 7, 9], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [7, 9, 57] Generated Node #2: [7, 9, 57] from Operation: 89-32=57 Current State: 41:[7, 9, 57], Operations: ['89-32=57'] Exploring Operation: 7+9=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 7+9=16 Current State: 41:[57, 16], Operations: ['89-32=57', '7+9=16'] Exploring Operation: 57-16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 17, 80, 44 ]
24
[ "44-17=27", "80*27=2160", "2160/90=24" ]
Current State: 24:[90, 17, 80, 44], Operations: [] Exploring Operation: 44-17=27, Resulting Numbers: [90, 80, 27] Generated Node #2: [90, 80, 27] from Operation: 44-17=27 Current State: 24:[90, 80, 27], Operations: ['44-17=27'] Exploring Operation: 80*27=2160, Resulting Numbers: [90, 2160] Generated Node #3: [90, 2160] from Operation: 80*27=2160 Current State: 24:[90, 2160], Operations: ['44-17=27', '80*27=2160'] Exploring Operation: 2160/90=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 41, 14, 83, 79 ]
31
[ "41-14=27", "83-79=4", "27+4=31" ]
Current State: 31:[41, 14, 83, 79], Operations: [] Exploring Operation: 41-14=27, Resulting Numbers: [83, 79, 27] Generated Node #2: [83, 79, 27] from Operation: 41-14=27 Current State: 31:[83, 79, 27], Operations: ['41-14=27'] Exploring Operation: 83-79=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 83-79=4 Current State: 31:[27, 4], Operations: ['41-14=27', '83-79=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 51, 99, 35, 24 ]
70
[ "99-51=48", "35*48=1680", "1680/24=70" ]
Current State: 70:[51, 99, 35, 24], Operations: [] Exploring Operation: 99-51=48, Resulting Numbers: [35, 24, 48] Generated Node #2: [35, 24, 48] from Operation: 99-51=48 Current State: 70:[35, 24, 48], Operations: ['99-51=48'] Exploring Operation: 35*48=1680, Resulting Numbers: [24, 1680] Generated Node #3: [24, 1680] from Operation: 35*48=1680 Current State: 70:[24, 1680], Operations: ['99-51=48', '35*48=1680'] Exploring Operation: 1680/24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 8, 53, 18 ]
21
[ "53-29=24", "24/8=3", "18+3=21" ]
Current State: 21:[29, 8, 53, 18], Operations: [] Exploring Operation: 53-29=24, Resulting Numbers: [8, 18, 24] Generated Node #2: [8, 18, 24] from Operation: 53-29=24 Current State: 21:[8, 18, 24], Operations: ['53-29=24'] Exploring Operation: 24/8=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 24/8=3 Current State: 21:[18, 3], Operations: ['53-29=24', '24/8=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 83, 51, 72, 11 ]
70
[ "83-72=11", "11*11=121", "121-51=70" ]
Current State: 70:[83, 51, 72, 11], Operations: [] Exploring Operation: 83-72=11, Resulting Numbers: [51, 11, 11] Generated Node #2: [51, 11, 11] from Operation: 83-72=11 Current State: 70:[51, 11, 11], Operations: ['83-72=11'] Exploring Operation: 11*11=121, Resulting Numbers: [51, 121] Generated Node #3: [51, 121] from Operation: 11*11=121 Current State: 70:[51, 121], Operations: ['83-72=11', '11*11=121'] Exploring Operation: 121-51=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 7, 51, 21, 58 ]
10
[ "21/7=3", "58-51=7", "3+7=10" ]
Current State: 10:[7, 51, 21, 58], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [51, 58, 3] Generated Node #2: [51, 58, 3] from Operation: 21/7=3 Current State: 10:[51, 58, 3], Operations: ['21/7=3'] Exploring Operation: 58-51=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 58-51=7 Current State: 10:[3, 7], Operations: ['21/7=3', '58-51=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 13, 79, 1, 91 ]
85
[ "91/13=7", "79-1=78", "7+78=85" ]
Current State: 85:[13, 79, 1, 91], Operations: [] Exploring Operation: 91/13=7, Resulting Numbers: [79, 1, 7] Generated Node #2: [79, 1, 7] from Operation: 91/13=7 Current State: 85:[79, 1, 7], Operations: ['91/13=7'] Exploring Operation: 79-1=78, Resulting Numbers: [7, 78] Generated Node #3: [7, 78] from Operation: 79-1=78 Current State: 85:[7, 78], Operations: ['91/13=7', '79-1=78'] Exploring Operation: 7+78=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 38, 6, 68, 2 ]
54
[ "68-38=30", "2*30=60", "60-6=54" ]
Current State: 54:[38, 6, 68, 2], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [6, 2, 30] Generated Node #2: [6, 2, 30] from Operation: 68-38=30 Current State: 54:[6, 2, 30], Operations: ['68-38=30'] Exploring Operation: 2*30=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 2*30=60 Current State: 54:[6, 60], Operations: ['68-38=30', '2*30=60'] Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 65, 6, 95 ]
26
[ "44-6=38", "65*38=2470", "2470/95=26" ]
Current State: 26:[44, 65, 6, 95], Operations: [] Exploring Operation: 44-6=38, Resulting Numbers: [65, 95, 38] Generated Node #2: [65, 95, 38] from Operation: 44-6=38 Current State: 26:[65, 95, 38], Operations: ['44-6=38'] Exploring Operation: 65*38=2470, Resulting Numbers: [95, 2470] Generated Node #3: [95, 2470] from Operation: 65*38=2470 Current State: 26:[95, 2470], Operations: ['44-6=38', '65*38=2470'] Exploring Operation: 2470/95=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 65, 50, 73, 79 ]
55
[ "50*79=3950", "65+3950=4015", "4015/73=55" ]
Current State: 55:[65, 50, 73, 79], Operations: [] Exploring Operation: 50*79=3950, Resulting Numbers: [65, 73, 3950] Generated Node #2: [65, 73, 3950] from Operation: 50*79=3950 Current State: 55:[65, 73, 3950], Operations: ['50*79=3950'] Exploring Operation: 65+3950=4015, Resulting Numbers: [73, 4015] Generated Node #3: [73, 4015] from Operation: 65+3950=4015 Current State: 55:[73, 4015], Operations: ['50*79=3950', '65+3950=4015'] Exploring Operation: 4015/73=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 12, 69, 1, 6 ]
15
[ "1+6=7", "12*7=84", "84-69=15" ]
Current State: 15:[12, 69, 1, 6], Operations: [] Exploring Operation: 1+6=7, Resulting Numbers: [12, 69, 7] Generated Node #2: [12, 69, 7] from Operation: 1+6=7 Current State: 15:[12, 69, 7], Operations: ['1+6=7'] Exploring Operation: 12*7=84, Resulting Numbers: [69, 84] Generated Node #3: [69, 84] from Operation: 12*7=84 Current State: 15:[69, 84], Operations: ['1+6=7', '12*7=84'] Exploring Operation: 84-69=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 97, 94, 75, 96 ]
43
[ "97-94=3", "96/3=32", "75-32=43" ]
Current State: 43:[97, 94, 75, 96], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [75, 96, 3] Generated Node #2: [75, 96, 3] from Operation: 97-94=3 Current State: 43:[75, 96, 3], Operations: ['97-94=3'] Exploring Operation: 96/3=32, Resulting Numbers: [75, 32] Generated Node #3: [75, 32] from Operation: 96/3=32 Current State: 43:[75, 32], Operations: ['97-94=3', '96/3=32'] Exploring Operation: 75-32=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 96, 2, 9, 50 ]
28
[ "96-50=46", "2*9=18", "46-18=28" ]
Current State: 28:[96, 2, 9, 50], Operations: [] Exploring Operation: 96-50=46, Resulting Numbers: [2, 9, 46] Generated Node #2: [2, 9, 46] from Operation: 96-50=46 Current State: 28:[2, 9, 46], Operations: ['96-50=46'] Exploring Operation: 2*9=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 2*9=18 Current State: 28:[46, 18], Operations: ['96-50=46', '2*9=18'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 85, 63, 66, 80 ]
15
[ "85-80=5", "66-63=3", "5*3=15" ]
Current State: 15:[85, 63, 66, 80], Operations: [] Exploring Operation: 85-80=5, Resulting Numbers: [63, 66, 5] Generated Node #2: [63, 66, 5] from Operation: 85-80=5 Current State: 15:[63, 66, 5], Operations: ['85-80=5'] Exploring Operation: 66-63=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 66-63=3 Current State: 15:[5, 3], Operations: ['85-80=5', '66-63=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 34, 14, 44 ]
16
[ "36-34=2", "14*2=28", "44-28=16" ]
Current State: 16:[36, 34, 14, 44], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [14, 44, 2] Generated Node #2: [14, 44, 2] from Operation: 36-34=2 Current State: 16:[14, 44, 2], Operations: ['36-34=2'] Exploring Operation: 14*2=28, Resulting Numbers: [44, 28] Generated Node #3: [44, 28] from Operation: 14*2=28 Current State: 16:[44, 28], Operations: ['36-34=2', '14*2=28'] Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 49, 23, 54, 26 ]
100
[ "49+23=72", "54-26=28", "72+28=100" ]
Current State: 100:[49, 23, 54, 26], Operations: [] Exploring Operation: 49+23=72, Resulting Numbers: [54, 26, 72] Generated Node #2: [54, 26, 72] from Operation: 49+23=72 Current State: 100:[54, 26, 72], Operations: ['49+23=72'] Exploring Operation: 54-26=28, Resulting Numbers: [72, 28] Generated Node #3: [72, 28] from Operation: 54-26=28 Current State: 100:[72, 28], Operations: ['49+23=72', '54-26=28'] Exploring Operation: 72+28=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 81, 49, 14, 24 ]
13
[ "81+49=130", "24-14=10", "130/10=13" ]
Current State: 13:[81, 49, 14, 24], Operations: [] Exploring Operation: 81+49=130, Resulting Numbers: [14, 24, 130] Generated Node #2: [14, 24, 130] from Operation: 81+49=130 Current State: 13:[14, 24, 130], Operations: ['81+49=130'] Exploring Operation: 24-14=10, Resulting Numbers: [130, 10] Generated Node #3: [130, 10] from Operation: 24-14=10 Current State: 13:[130, 10], Operations: ['81+49=130', '24-14=10'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 22, 26, 22, 27 ]
97
[ "22+26=48", "22+27=49", "48+49=97" ]
Current State: 97:[22, 26, 22, 27], Operations: [] Exploring Operation: 22+26=48, Resulting Numbers: [27, 48] Generated Node #2: [27, 48] from Operation: 22+26=48 Current State: 97:[27, 48], Operations: ['22+26=48'] Exploring Operation: 22+27=49, Resulting Numbers: [48, 49] Generated Node #3: [48, 49] from Operation: 22+27=49 Current State: 97:[48, 49], Operations: ['22+26=48', '22+27=49'] Exploring Operation: 48+49=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 20, 81, 50, 3 ]
33
[ "81-20=61", "61-50=11", "3*11=33" ]
Current State: 33:[20, 81, 50, 3], Operations: [] Exploring Operation: 81-20=61, Resulting Numbers: [50, 3, 61] Generated Node #2: [50, 3, 61] from Operation: 81-20=61 Current State: 33:[50, 3, 61], Operations: ['81-20=61'] Exploring Operation: 61-50=11, Resulting Numbers: [3, 11] Generated Node #3: [3, 11] from Operation: 61-50=11 Current State: 33:[3, 11], Operations: ['81-20=61', '61-50=11'] Exploring Operation: 3*11=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 77, 75, 22 ]
93
[ "77-75=2", "22*2=44", "49+44=93" ]
Current State: 93:[49, 77, 75, 22], Operations: [] Exploring Operation: 77-75=2, Resulting Numbers: [49, 22, 2] Generated Node #2: [49, 22, 2] from Operation: 77-75=2 Current State: 93:[49, 22, 2], Operations: ['77-75=2'] Exploring Operation: 22*2=44, Resulting Numbers: [49, 44] Generated Node #3: [49, 44] from Operation: 22*2=44 Current State: 93:[49, 44], Operations: ['77-75=2', '22*2=44'] Exploring Operation: 49+44=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 36, 79, 2, 83 ]
38
[ "79-36=43", "83-2=81", "81-43=38" ]
Current State: 38:[36, 79, 2, 83], Operations: [] Exploring Operation: 79-36=43, Resulting Numbers: [2, 83, 43] Generated Node #2: [2, 83, 43] from Operation: 79-36=43 Current State: 38:[2, 83, 43], Operations: ['79-36=43'] Exploring Operation: 83-2=81, Resulting Numbers: [43, 81] Generated Node #3: [43, 81] from Operation: 83-2=81 Current State: 38:[43, 81], Operations: ['79-36=43', '83-2=81'] Exploring Operation: 81-43=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 35, 54, 78, 2 ]
100
[ "35+54=89", "2*89=178", "178-78=100" ]
Current State: 100:[35, 54, 78, 2], Operations: [] Exploring Operation: 35+54=89, Resulting Numbers: [78, 2, 89] Generated Node #2: [78, 2, 89] from Operation: 35+54=89 Current State: 100:[78, 2, 89], Operations: ['35+54=89'] Exploring Operation: 2*89=178, Resulting Numbers: [78, 178] Generated Node #3: [78, 178] from Operation: 2*89=178 Current State: 100:[78, 178], Operations: ['35+54=89', '2*89=178'] Exploring Operation: 178-78=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 19, 11, 2, 13 ]
75
[ "19+13=32", "2*32=64", "11+64=75" ]
Current State: 75:[19, 11, 2, 13], Operations: [] Exploring Operation: 19+13=32, Resulting Numbers: [11, 2, 32] Generated Node #2: [11, 2, 32] from Operation: 19+13=32 Current State: 75:[11, 2, 32], Operations: ['19+13=32'] Exploring Operation: 2*32=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 2*32=64 Current State: 75:[11, 64], Operations: ['19+13=32', '2*32=64'] Exploring Operation: 11+64=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 38, 47, 35, 2 ]
88
[ "47-38=9", "35+9=44", "2*44=88" ]
Current State: 88:[38, 47, 35, 2], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [35, 2, 9] Generated Node #2: [35, 2, 9] from Operation: 47-38=9 Current State: 88:[35, 2, 9], Operations: ['47-38=9'] Exploring Operation: 35+9=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 35+9=44 Current State: 88:[2, 44], Operations: ['47-38=9', '35+9=44'] Exploring Operation: 2*44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 52, 38, 48 ]
98
[ "56+52=108", "48-38=10", "108-10=98" ]
Current State: 98:[56, 52, 38, 48], Operations: [] Exploring Operation: 56+52=108, Resulting Numbers: [38, 48, 108] Generated Node #2: [38, 48, 108] from Operation: 56+52=108 Current State: 98:[38, 48, 108], Operations: ['56+52=108'] Exploring Operation: 48-38=10, Resulting Numbers: [108, 10] Generated Node #3: [108, 10] from Operation: 48-38=10 Current State: 98:[108, 10], Operations: ['56+52=108', '48-38=10'] Exploring Operation: 108-10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 21, 37, 97, 15 ]
97
[ "37-21=16", "16-15=1", "97*1=97" ]
Current State: 97:[21, 37, 97, 15], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [97, 15, 16] Generated Node #2: [97, 15, 16] from Operation: 37-21=16 Current State: 97:[97, 15, 16], Operations: ['37-21=16'] Exploring Operation: 16-15=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 16-15=1 Current State: 97:[97, 1], Operations: ['37-21=16', '16-15=1'] Exploring Operation: 97*1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 39, 37, 71, 93 ]
44
[ "39-37=2", "93-71=22", "2*22=44" ]
Current State: 44:[39, 37, 71, 93], Operations: [] Exploring Operation: 39-37=2, Resulting Numbers: [71, 93, 2] Generated Node #2: [71, 93, 2] from Operation: 39-37=2 Current State: 44:[71, 93, 2], Operations: ['39-37=2'] Exploring Operation: 93-71=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 93-71=22 Current State: 44:[2, 22], Operations: ['39-37=2', '93-71=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 1, 17, 6, 59 ]
70
[ "1*17=17", "59-6=53", "17+53=70" ]
Current State: 70:[1, 17, 6, 59], Operations: [] Exploring Operation: 1*17=17, Resulting Numbers: [6, 59, 17] Generated Node #2: [6, 59, 17] from Operation: 1*17=17 Current State: 70:[6, 59, 17], Operations: ['1*17=17'] Exploring Operation: 59-6=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 59-6=53 Current State: 70:[17, 53], Operations: ['1*17=17', '59-6=53'] Exploring Operation: 17+53=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 5, 9, 32 ]
50
[ "37-32=5", "5*9=45", "5+45=50" ]
Current State: 50:[37, 5, 9, 32], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [5, 9, 5] Generated Node #2: [5, 9, 5] from Operation: 37-32=5 Current State: 50:[5, 9, 5], Operations: ['37-32=5'] Exploring Operation: 5*9=45, Resulting Numbers: [45] 45,50 equal: Goal Reached Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 36, 29, 34, 80 ]
100
[ "34-29=5", "36*5=180", "180-80=100" ]
Current State: 100:[36, 29, 34, 80], Operations: [] Exploring Operation: 34-29=5, Resulting Numbers: [36, 80, 5] Generated Node #2: [36, 80, 5] from Operation: 34-29=5 Current State: 100:[36, 80, 5], Operations: ['34-29=5'] Exploring Operation: 36*5=180, Resulting Numbers: [80, 180] Generated Node #3: [80, 180] from Operation: 36*5=180 Current State: 100:[80, 180], Operations: ['34-29=5', '36*5=180'] Exploring Operation: 180-80=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 10, 88, 24, 2 ]
33
[ "88+2=90", "90/10=9", "24+9=33" ]
Current State: 33:[10, 88, 24, 2], Operations: [] Exploring Operation: 88+2=90, Resulting Numbers: [10, 24, 90] Generated Node #2: [10, 24, 90] from Operation: 88+2=90 Current State: 33:[10, 24, 90], Operations: ['88+2=90'] Exploring Operation: 90/10=9, Resulting Numbers: [24, 9] Generated Node #3: [24, 9] from Operation: 90/10=9 Current State: 33:[24, 9], Operations: ['88+2=90', '90/10=9'] Exploring Operation: 24+9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 24, 10, 11, 93 ]
41
[ "93-24=69", "10*11=110", "110-69=41" ]
Current State: 41:[24, 10, 11, 93], Operations: [] Exploring Operation: 93-24=69, Resulting Numbers: [10, 11, 69] Generated Node #2: [10, 11, 69] from Operation: 93-24=69 Current State: 41:[10, 11, 69], Operations: ['93-24=69'] Exploring Operation: 10*11=110, Resulting Numbers: [69, 110] Generated Node #3: [69, 110] from Operation: 10*11=110 Current State: 41:[69, 110], Operations: ['93-24=69', '10*11=110'] Exploring Operation: 110-69=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 4, 66, 68 ]
94
[ "11+66=77", "68/4=17", "77+17=94" ]
Current State: 94:[11, 4, 66, 68], Operations: [] Exploring Operation: 11+66=77, Resulting Numbers: [4, 68, 77] Generated Node #2: [4, 68, 77] from Operation: 11+66=77 Current State: 94:[4, 68, 77], Operations: ['11+66=77'] Exploring Operation: 68/4=17, Resulting Numbers: [77, 17] Generated Node #3: [77, 17] from Operation: 68/4=17 Current State: 94:[77, 17], Operations: ['11+66=77', '68/4=17'] Exploring Operation: 77+17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 86, 15, 25, 10 ]
91
[ "15-10=5", "25/5=5", "86+5=91" ]
Current State: 91:[86, 15, 25, 10], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [86, 25, 5] Generated Node #2: [86, 25, 5] from Operation: 15-10=5 Current State: 91:[86, 25, 5], Operations: ['15-10=5'] Exploring Operation: 25/5=5, Resulting Numbers: [86, 5] Generated Node #3: [86, 5] from Operation: 25/5=5 Current State: 91:[86, 5], Operations: ['15-10=5', '25/5=5'] Exploring Operation: 86+5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 19, 92, 19 ]
35
[ "2*19=38", "92-19=73", "73-38=35" ]
Current State: 35:[2, 19, 92, 19], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [92, 38] Generated Node #2: [92, 38] from Operation: 2*19=38 Current State: 35:[92, 38], Operations: ['2*19=38'] Exploring Operation: 92-19=73, Resulting Numbers: [38, 73] Generated Node #3: [38, 73] from Operation: 92-19=73 Current State: 35:[38, 73], Operations: ['2*19=38', '92-19=73'] Exploring Operation: 73-38=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 12, 51, 80, 4 ]
44
[ "80+4=84", "84/12=7", "51-7=44" ]
Current State: 44:[12, 51, 80, 4], Operations: [] Exploring Operation: 80+4=84, Resulting Numbers: [12, 51, 84] Generated Node #2: [12, 51, 84] from Operation: 80+4=84 Current State: 44:[12, 51, 84], Operations: ['80+4=84'] Exploring Operation: 84/12=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 84/12=7 Current State: 44:[51, 7], Operations: ['80+4=84', '84/12=7'] Exploring Operation: 51-7=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 7, 2, 16, 68 ]
25
[ "16-7=9", "68/2=34", "34-9=25" ]
Current State: 25:[7, 2, 16, 68], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [2, 68, 9] Generated Node #2: [2, 68, 9] from Operation: 16-7=9 Current State: 25:[2, 68, 9], Operations: ['16-7=9'] Exploring Operation: 68/2=34, Resulting Numbers: [9, 34] Generated Node #3: [9, 34] from Operation: 68/2=34 Current State: 25:[9, 34], Operations: ['16-7=9', '68/2=34'] Exploring Operation: 34-9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 39, 80, 61, 84 ]
25
[ "39+61=100", "84-80=4", "100/4=25" ]
Current State: 25:[39, 80, 61, 84], Operations: [] Exploring Operation: 39+61=100, Resulting Numbers: [80, 84, 100] Generated Node #2: [80, 84, 100] from Operation: 39+61=100 Current State: 25:[80, 84, 100], Operations: ['39+61=100'] Exploring Operation: 84-80=4, Resulting Numbers: [100, 4] Generated Node #3: [100, 4] from Operation: 84-80=4 Current State: 25:[100, 4], Operations: ['39+61=100', '84-80=4'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 46, 18, 63, 92 ]
90
[ "92/46=2", "63-18=45", "2*45=90" ]
Current State: 90:[46, 18, 63, 92], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [18, 63, 2] Generated Node #2: [18, 63, 2] from Operation: 92/46=2 Current State: 90:[18, 63, 2], Operations: ['92/46=2'] Exploring Operation: 63-18=45, Resulting Numbers: [2, 45] Generated Node #3: [2, 45] from Operation: 63-18=45 Current State: 90:[2, 45], Operations: ['92/46=2', '63-18=45'] Exploring Operation: 2*45=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 73, 37, 3, 89 ]
91
[ "73+89=162", "162/3=54", "37+54=91" ]
Current State: 91:[73, 37, 3, 89], Operations: [] Exploring Operation: 73+89=162, Resulting Numbers: [37, 3, 162] Generated Node #2: [37, 3, 162] from Operation: 73+89=162 Current State: 91:[37, 3, 162], Operations: ['73+89=162'] Exploring Operation: 162/3=54, Resulting Numbers: [37, 54] Generated Node #3: [37, 54] from Operation: 162/3=54 Current State: 91:[37, 54], Operations: ['73+89=162', '162/3=54'] Exploring Operation: 37+54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 5, 24, 60, 2 ]
44
[ "5-2=3", "60/3=20", "24+20=44" ]
Current State: 44:[5, 24, 60, 2], Operations: [] Exploring Operation: 5-2=3, Resulting Numbers: [24, 60, 3] Generated Node #2: [24, 60, 3] from Operation: 5-2=3 Current State: 44:[24, 60, 3], Operations: ['5-2=3'] Exploring Operation: 60/3=20, Resulting Numbers: [24, 20] Generated Node #3: [24, 20] from Operation: 60/3=20 Current State: 44:[24, 20], Operations: ['5-2=3', '60/3=20'] Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 19, 19, 40, 67 ]
65
[ "19+19=38", "67-40=27", "38+27=65" ]
Current State: 65:[19, 19, 40, 67], Operations: [] Exploring Operation: 19+19=38, Resulting Numbers: [40, 67, 38] Generated Node #2: [40, 67, 38] from Operation: 19+19=38 Current State: 65:[40, 67, 38], Operations: ['19+19=38'] Exploring Operation: 67-40=27, Resulting Numbers: [38, 27] Generated Node #3: [38, 27] from Operation: 67-40=27 Current State: 65:[38, 27], Operations: ['19+19=38', '67-40=27'] Exploring Operation: 38+27=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 33, 72, 83, 8 ]
55
[ "83-72=11", "8*11=88", "88-33=55" ]
Current State: 55:[33, 72, 83, 8], Operations: [] Exploring Operation: 83-72=11, Resulting Numbers: [33, 8, 11] Generated Node #2: [33, 8, 11] from Operation: 83-72=11 Current State: 55:[33, 8, 11], Operations: ['83-72=11'] Exploring Operation: 8*11=88, Resulting Numbers: [33, 88] Generated Node #3: [33, 88] from Operation: 8*11=88 Current State: 55:[33, 88], Operations: ['83-72=11', '8*11=88'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 23, 17, 65, 52 ]
68
[ "17+52=69", "69/23=3", "65+3=68" ]
Current State: 68:[23, 17, 65, 52], Operations: [] Exploring Operation: 17+52=69, Resulting Numbers: [23, 65, 69] Generated Node #2: [23, 65, 69] from Operation: 17+52=69 Current State: 68:[23, 65, 69], Operations: ['17+52=69'] Exploring Operation: 69/23=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 69/23=3 Current State: 68:[65, 3], Operations: ['17+52=69', '69/23=3'] Exploring Operation: 65+3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 10, 42, 88, 68 ]
55
[ "42+88=130", "130/10=13", "68-13=55" ]
Current State: 55:[10, 42, 88, 68], Operations: [] Exploring Operation: 42+88=130, Resulting Numbers: [10, 68, 130] Generated Node #2: [10, 68, 130] from Operation: 42+88=130 Current State: 55:[10, 68, 130], Operations: ['42+88=130'] Exploring Operation: 130/10=13, Resulting Numbers: [68, 13] Generated Node #3: [68, 13] from Operation: 130/10=13 Current State: 55:[68, 13], Operations: ['42+88=130', '130/10=13'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 9, 34, 2, 52 ]
17
[ "9+34=43", "52/2=26", "43-26=17" ]
Current State: 17:[9, 34, 2, 52], Operations: [] Exploring Operation: 9+34=43, Resulting Numbers: [2, 52, 43] Generated Node #2: [2, 52, 43] from Operation: 9+34=43 Current State: 17:[2, 52, 43], Operations: ['9+34=43'] Exploring Operation: 52/2=26, Resulting Numbers: [43, 26] Generated Node #3: [43, 26] from Operation: 52/2=26 Current State: 17:[43, 26], Operations: ['9+34=43', '52/2=26'] Exploring Operation: 43-26=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 1, 4, 70, 95 ]
20
[ "1+4=5", "95-70=25", "25-5=20" ]
Current State: 20:[1, 4, 70, 95], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [70, 95, 5] Generated Node #2: [70, 95, 5] from Operation: 1+4=5 Current State: 20:[70, 95, 5], Operations: ['1+4=5'] Exploring Operation: 95-70=25, Resulting Numbers: [5, 25] Generated Node #3: [5, 25] from Operation: 95-70=25 Current State: 20:[5, 25], Operations: ['1+4=5', '95-70=25'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 40, 5, 56, 44 ]
100
[ "40*5=200", "56+44=100", "200-100=100" ]
Current State: 100:[40, 5, 56, 44], Operations: [] Exploring Operation: 40*5=200, Resulting Numbers: [56, 44, 200] Generated Node #2: [56, 44, 200] from Operation: 40*5=200 Current State: 100:[56, 44, 200], Operations: ['40*5=200'] Exploring Operation: 56+44=100, Resulting Numbers: [200, 100] Generated Node #3: [200, 100] from Operation: 56+44=100 Current State: 100:[200, 100], Operations: ['40*5=200', '56+44=100'] Exploring Operation: 200-100=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 91, 83, 47, 97 ]
42
[ "91-83=8", "97-47=50", "50-8=42" ]
Current State: 42:[91, 83, 47, 97], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [47, 97, 8] Generated Node #2: [47, 97, 8] from Operation: 91-83=8 Current State: 42:[47, 97, 8], Operations: ['91-83=8'] Exploring Operation: 97-47=50, Resulting Numbers: [8, 50] Generated Node #3: [8, 50] from Operation: 97-47=50 Current State: 42:[8, 50], Operations: ['91-83=8', '97-47=50'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 54, 80, 10, 2 ]
43
[ "54/2=27", "80-10=70", "70-27=43" ]
Current State: 43:[54, 80, 10, 2], Operations: [] Exploring Operation: 54/2=27, Resulting Numbers: [80, 10, 27] Generated Node #2: [80, 10, 27] from Operation: 54/2=27 Current State: 43:[80, 10, 27], Operations: ['54/2=27'] Exploring Operation: 80-10=70, Resulting Numbers: [27, 70] Generated Node #3: [27, 70] from Operation: 80-10=70 Current State: 43:[27, 70], Operations: ['54/2=27', '80-10=70'] Exploring Operation: 70-27=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 88, 85, 26 ]
52
[ "88-29=59", "85+26=111", "111-59=52" ]
Current State: 52:[29, 88, 85, 26], Operations: [] Exploring Operation: 88-29=59, Resulting Numbers: [85, 26, 59] Generated Node #2: [85, 26, 59] from Operation: 88-29=59 Current State: 52:[85, 26, 59], Operations: ['88-29=59'] Exploring Operation: 85+26=111, Resulting Numbers: [59, 111] Generated Node #3: [59, 111] from Operation: 85+26=111 Current State: 52:[59, 111], Operations: ['88-29=59', '85+26=111'] Exploring Operation: 111-59=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 93, 34, 8, 75 ]
44
[ "93+34=127", "8+75=83", "127-83=44" ]
Current State: 44:[93, 34, 8, 75], Operations: [] Exploring Operation: 93+34=127, Resulting Numbers: [8, 75, 127] Generated Node #2: [8, 75, 127] from Operation: 93+34=127 Current State: 44:[8, 75, 127], Operations: ['93+34=127'] Exploring Operation: 8+75=83, Resulting Numbers: [127, 83] Generated Node #3: [127, 83] from Operation: 8+75=83 Current State: 44:[127, 83], Operations: ['93+34=127', '8+75=83'] Exploring Operation: 127-83=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 84, 51, 63, 77 ]
57
[ "77-63=14", "84/14=6", "51+6=57" ]
Current State: 57:[84, 51, 63, 77], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [84, 51, 14] Generated Node #2: [84, 51, 14] from Operation: 77-63=14 Current State: 57:[84, 51, 14], Operations: ['77-63=14'] Exploring Operation: 84/14=6, Resulting Numbers: [51, 6] Generated Node #3: [51, 6] from Operation: 84/14=6 Current State: 57:[51, 6], Operations: ['77-63=14', '84/14=6'] Exploring Operation: 51+6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 44, 42, 4, 45 ]
90
[ "44-42=2", "4*45=180", "180/2=90" ]
Current State: 90:[44, 42, 4, 45], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [4, 45, 2] Generated Node #2: [4, 45, 2] from Operation: 44-42=2 Current State: 90:[4, 45, 2], Operations: ['44-42=2'] Exploring Operation: 4*45=180, Resulting Numbers: [2, 180] Generated Node #3: [2, 180] from Operation: 4*45=180 Current State: 90:[2, 180], Operations: ['44-42=2', '4*45=180'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 18, 31, 46, 11 ]
44
[ "31-18=13", "46+11=57", "57-13=44" ]
Current State: 44:[18, 31, 46, 11], Operations: [] Exploring Operation: 31-18=13, Resulting Numbers: [46, 11, 13] Generated Node #2: [46, 11, 13] from Operation: 31-18=13 Current State: 44:[46, 11, 13], Operations: ['31-18=13'] Exploring Operation: 46+11=57, Resulting Numbers: [13, 57] Generated Node #3: [13, 57] from Operation: 46+11=57 Current State: 44:[13, 57], Operations: ['31-18=13', '46+11=57'] Exploring Operation: 57-13=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 47, 45, 62, 49 ]
19
[ "47+45=92", "62+49=111", "111-92=19" ]
Current State: 19:[47, 45, 62, 49], Operations: [] Exploring Operation: 47+45=92, Resulting Numbers: [62, 49, 92] Generated Node #2: [62, 49, 92] from Operation: 47+45=92 Current State: 19:[62, 49, 92], Operations: ['47+45=92'] Exploring Operation: 62+49=111, Resulting Numbers: [92, 111] Generated Node #3: [92, 111] from Operation: 62+49=111 Current State: 19:[92, 111], Operations: ['47+45=92', '62+49=111'] Exploring Operation: 111-92=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 99, 66, 36, 42 ]
44
[ "99-36=63", "66*42=2772", "2772/63=44" ]
Current State: 44:[99, 66, 36, 42], Operations: [] Exploring Operation: 99-36=63, Resulting Numbers: [66, 42, 63] Generated Node #2: [66, 42, 63] from Operation: 99-36=63 Current State: 44:[66, 42, 63], Operations: ['99-36=63'] Exploring Operation: 66*42=2772, Resulting Numbers: [63, 2772] Generated Node #3: [63, 2772] from Operation: 66*42=2772 Current State: 44:[63, 2772], Operations: ['99-36=63', '66*42=2772'] Exploring Operation: 2772/63=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 74, 80, 4, 65 ]
14
[ "80-65=15", "4*15=60", "74-60=14" ]
Current State: 14:[74, 80, 4, 65], Operations: [] Exploring Operation: 80-65=15, Resulting Numbers: [74, 4, 15] Generated Node #2: [74, 4, 15] from Operation: 80-65=15 Current State: 14:[74, 4, 15], Operations: ['80-65=15'] Exploring Operation: 4*15=60, Resulting Numbers: [74, 60] Generated Node #3: [74, 60] from Operation: 4*15=60 Current State: 14:[74, 60], Operations: ['80-65=15', '4*15=60'] Exploring Operation: 74-60=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 88, 29, 1, 98 ]
40
[ "88-29=59", "1+98=99", "99-59=40" ]
Current State: 40:[88, 29, 1, 98], Operations: [] Exploring Operation: 88-29=59, Resulting Numbers: [1, 98, 59] Generated Node #2: [1, 98, 59] from Operation: 88-29=59 Current State: 40:[1, 98, 59], Operations: ['88-29=59'] Exploring Operation: 1+98=99, Resulting Numbers: [59, 99] Generated Node #3: [59, 99] from Operation: 1+98=99 Current State: 40:[59, 99], Operations: ['88-29=59', '1+98=99'] Exploring Operation: 99-59=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 81, 87, 11, 89 ]
94
[ "87-81=6", "11+89=100", "100-6=94" ]
Current State: 94:[81, 87, 11, 89], Operations: [] Exploring Operation: 87-81=6, Resulting Numbers: [11, 89, 6] Generated Node #2: [11, 89, 6] from Operation: 87-81=6 Current State: 94:[11, 89, 6], Operations: ['87-81=6'] Exploring Operation: 11+89=100, Resulting Numbers: [6, 100] Generated Node #3: [6, 100] from Operation: 11+89=100 Current State: 94:[6, 100], Operations: ['87-81=6', '11+89=100'] Exploring Operation: 100-6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 34, 81, 2 ]
62
[ "81/27=3", "34-3=31", "2*31=62" ]
Current State: 62:[27, 34, 81, 2], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [34, 2, 3] Generated Node #2: [34, 2, 3] from Operation: 81/27=3 Current State: 62:[34, 2, 3], Operations: ['81/27=3'] Exploring Operation: 34-3=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 34-3=31 Current State: 62:[2, 31], Operations: ['81/27=3', '34-3=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 69, 3, 81, 89 ]
31
[ "69/3=23", "89-81=8", "23+8=31" ]
Current State: 31:[69, 3, 81, 89], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [81, 89, 23] Generated Node #2: [81, 89, 23] from Operation: 69/3=23 Current State: 31:[81, 89, 23], Operations: ['69/3=23'] Exploring Operation: 89-81=8, Resulting Numbers: [23, 8] Generated Node #3: [23, 8] from Operation: 89-81=8 Current State: 31:[23, 8], Operations: ['69/3=23', '89-81=8'] Exploring Operation: 23+8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 19, 45, 22, 14 ]
32
[ "45*14=630", "630-22=608", "608/19=32" ]
Current State: 32:[19, 45, 22, 14], Operations: [] Exploring Operation: 45*14=630, Resulting Numbers: [19, 22, 630] Generated Node #2: [19, 22, 630] from Operation: 45*14=630 Current State: 32:[19, 22, 630], Operations: ['45*14=630'] Exploring Operation: 630-22=608, Resulting Numbers: [19, 608] Generated Node #3: [19, 608] from Operation: 630-22=608 Current State: 32:[19, 608], Operations: ['45*14=630', '630-22=608'] Exploring Operation: 608/19=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 72, 17, 38, 4 ]
68
[ "72-17=55", "55-38=17", "4*17=68" ]
Current State: 68:[72, 17, 38, 4], Operations: [] Exploring Operation: 72-17=55, Resulting Numbers: [38, 4, 55] Generated Node #2: [38, 4, 55] from Operation: 72-17=55 Current State: 68:[38, 4, 55], Operations: ['72-17=55'] Exploring Operation: 55-38=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 55-38=17 Current State: 68:[4, 17], Operations: ['72-17=55', '55-38=17'] Exploring Operation: 4*17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 46, 16, 96, 3 ]
62
[ "46-16=30", "96/3=32", "30+32=62" ]
Current State: 62:[46, 16, 96, 3], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [96, 3, 30] Generated Node #2: [96, 3, 30] from Operation: 46-16=30 Current State: 62:[96, 3, 30], Operations: ['46-16=30'] Exploring Operation: 96/3=32, Resulting Numbers: [30, 32] Generated Node #3: [30, 32] from Operation: 96/3=32 Current State: 62:[30, 32], Operations: ['46-16=30', '96/3=32'] Exploring Operation: 30+32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 9, 4, 55 ]
64
[ "45-9=36", "36/4=9", "55+9=64" ]
Current State: 64:[45, 9, 4, 55], Operations: [] Exploring Operation: 45-9=36, Resulting Numbers: [4, 55, 36] Generated Node #2: [4, 55, 36] from Operation: 45-9=36 Current State: 64:[4, 55, 36], Operations: ['45-9=36'] Exploring Operation: 36/4=9, Resulting Numbers: [55, 9] Generated Node #3: [55, 9] from Operation: 36/4=9 Current State: 64:[55, 9], Operations: ['45-9=36', '36/4=9'] Exploring Operation: 55+9=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 1, 77, 44, 27 ]
93
[ "77-1=76", "44-27=17", "76+17=93" ]
Current State: 93:[1, 77, 44, 27], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [44, 27, 76] Generated Node #2: [44, 27, 76] from Operation: 77-1=76 Current State: 93:[44, 27, 76], Operations: ['77-1=76'] Exploring Operation: 44-27=17, Resulting Numbers: [76, 17] Generated Node #3: [76, 17] from Operation: 44-27=17 Current State: 93:[76, 17], Operations: ['77-1=76', '44-27=17'] Exploring Operation: 76+17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 49, 77, 81 ]
87
[ "49+77=126", "126/21=6", "81+6=87" ]
Current State: 87:[21, 49, 77, 81], Operations: [] Exploring Operation: 49+77=126, Resulting Numbers: [21, 81, 126] Generated Node #2: [21, 81, 126] from Operation: 49+77=126 Current State: 87:[21, 81, 126], Operations: ['49+77=126'] Exploring Operation: 126/21=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 126/21=6 Current State: 87:[81, 6], Operations: ['49+77=126', '126/21=6'] Exploring Operation: 81+6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 43, 58, 28 ]
77
[ "90-43=47", "58-28=30", "47+30=77" ]
Current State: 77:[90, 43, 58, 28], Operations: [] Exploring Operation: 90-43=47, Resulting Numbers: [58, 28, 47] Generated Node #2: [58, 28, 47] from Operation: 90-43=47 Current State: 77:[58, 28, 47], Operations: ['90-43=47'] Exploring Operation: 58-28=30, Resulting Numbers: [47, 30] Generated Node #3: [47, 30] from Operation: 58-28=30 Current State: 77:[47, 30], Operations: ['90-43=47', '58-28=30'] Exploring Operation: 47+30=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 42, 8, 9, 18 ]
15
[ "9*18=162", "162-42=120", "120/8=15" ]
Current State: 15:[42, 8, 9, 18], Operations: [] Exploring Operation: 9*18=162, Resulting Numbers: [42, 8, 162] Generated Node #2: [42, 8, 162] from Operation: 9*18=162 Current State: 15:[42, 8, 162], Operations: ['9*18=162'] Exploring Operation: 162-42=120, Resulting Numbers: [8, 120] Generated Node #3: [8, 120] from Operation: 162-42=120 Current State: 15:[8, 120], Operations: ['9*18=162', '162-42=120'] Exploring Operation: 120/8=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 10, 2, 87, 99 ]
100
[ "2+87=89", "99-89=10", "10*10=100" ]
Current State: 100:[10, 2, 87, 99], Operations: [] Exploring Operation: 2+87=89, Resulting Numbers: [10, 99, 89] Generated Node #2: [10, 99, 89] from Operation: 2+87=89 Current State: 100:[10, 99, 89], Operations: ['2+87=89'] Exploring Operation: 99-89=10, Resulting Numbers: [10, 10] Generated Node #3: [10, 10] from Operation: 99-89=10 Current State: 100:[10, 10], Operations: ['2+87=89', '99-89=10'] Exploring Operation: 10*10=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 57, 85, 4, 81 ]
58
[ "85-4=81", "81/81=1", "57+1=58" ]
Current State: 58:[57, 85, 4, 81], Operations: [] Exploring Operation: 85-4=81, Resulting Numbers: [57, 81, 81] Generated Node #2: [57, 81, 81] from Operation: 85-4=81 Current State: 58:[57, 81, 81], Operations: ['85-4=81'] Exploring Operation: 81/81=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 81/81=1 Current State: 58:[57, 1], Operations: ['85-4=81', '81/81=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 21, 51, 36, 74 ]
34
[ "21+51=72", "74-36=38", "72-38=34" ]
Current State: 34:[21, 51, 36, 74], Operations: [] Exploring Operation: 21+51=72, Resulting Numbers: [36, 74, 72] Generated Node #2: [36, 74, 72] from Operation: 21+51=72 Current State: 34:[36, 74, 72], Operations: ['21+51=72'] Exploring Operation: 74-36=38, Resulting Numbers: [72, 38] Generated Node #3: [72, 38] from Operation: 74-36=38 Current State: 34:[72, 38], Operations: ['21+51=72', '74-36=38'] Exploring Operation: 72-38=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 21, 66, 9, 86 ]
32
[ "66-21=45", "86-9=77", "77-45=32" ]
Current State: 32:[21, 66, 9, 86], Operations: [] Exploring Operation: 66-21=45, Resulting Numbers: [9, 86, 45] Generated Node #2: [9, 86, 45] from Operation: 66-21=45 Current State: 32:[9, 86, 45], Operations: ['66-21=45'] Exploring Operation: 86-9=77, Resulting Numbers: [45, 77] Generated Node #3: [45, 77] from Operation: 86-9=77 Current State: 32:[45, 77], Operations: ['66-21=45', '86-9=77'] Exploring Operation: 77-45=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 35, 50, 32, 71 ]
63
[ "35-32=3", "71-50=21", "3*21=63" ]
Current State: 63:[35, 50, 32, 71], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [50, 71, 3] Generated Node #2: [50, 71, 3] from Operation: 35-32=3 Current State: 63:[50, 71, 3], Operations: ['35-32=3'] Exploring Operation: 71-50=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 71-50=21 Current State: 63:[3, 21], Operations: ['35-32=3', '71-50=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 42, 54, 33, 45 ]
49
[ "42-33=9", "45/9=5", "54-5=49" ]
Current State: 49:[42, 54, 33, 45], Operations: [] Exploring Operation: 42-33=9, Resulting Numbers: [54, 45, 9] Generated Node #2: [54, 45, 9] from Operation: 42-33=9 Current State: 49:[54, 45, 9], Operations: ['42-33=9'] Exploring Operation: 45/9=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 45/9=5 Current State: 49:[54, 5], Operations: ['42-33=9', '45/9=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 89, 18, 91 ]
100
[ "89-18=71", "91-71=20", "5*20=100" ]
Current State: 100:[5, 89, 18, 91], Operations: [] Exploring Operation: 89-18=71, Resulting Numbers: [5, 91, 71] Generated Node #2: [5, 91, 71] from Operation: 89-18=71 Current State: 100:[5, 91, 71], Operations: ['89-18=71'] Exploring Operation: 91-71=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 91-71=20 Current State: 100:[5, 20], Operations: ['89-18=71', '91-71=20'] Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 42, 72, 22, 20 ]
51
[ "22-20=2", "42/2=21", "72-21=51" ]
Current State: 51:[42, 72, 22, 20], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [42, 72, 2] Generated Node #2: [42, 72, 2] from Operation: 22-20=2 Current State: 51:[42, 72, 2], Operations: ['22-20=2'] Exploring Operation: 42/2=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 42/2=21 Current State: 51:[72, 21], Operations: ['22-20=2', '42/2=21'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4