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
[ 25, 77, 7, 9 ]
28
[ "25*7=175", "77+175=252", "252/9=28" ]
Current State: 28:[25, 77, 7, 9], Operations: [] Exploring Operation: 25*7=175, Resulting Numbers: [77, 9, 175] Generated Node #2: [77, 9, 175] from Operation: 25*7=175 Current State: 28:[77, 9, 175], Operations: ['25*7=175'] Exploring Operation: 77+175=252, Resulting Numbers: [9, 252] Generated Node #3: [9, 252] from Operation: 77+175=252 Current State: 28:[9, 252], Operations: ['25*7=175', '77+175=252'] Exploring Operation: 252/9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 68, 9, 25, 58 ]
24
[ "68-9=59", "25+58=83", "83-59=24" ]
Current State: 24:[68, 9, 25, 58], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [25, 58, 59] Generated Node #2: [25, 58, 59] from Operation: 68-9=59 Current State: 24:[25, 58, 59], Operations: ['68-9=59'] Exploring Operation: 25+58=83, Resulting Numbers: [59, 83] Generated Node #3: [59, 83] from Operation: 25+58=83 Current State: 24:[59, 83], Operations: ['68-9=59', '25+58=83'] Exploring Operation: 83-59=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 17, 45, 37 ]
49
[ "50-17=33", "45+37=82", "82-33=49" ]
Current State: 49:[50, 17, 45, 37], Operations: [] Exploring Operation: 50-17=33, Resulting Numbers: [45, 37, 33] Generated Node #2: [45, 37, 33] from Operation: 50-17=33 Current State: 49:[45, 37, 33], Operations: ['50-17=33'] Exploring Operation: 45+37=82, Resulting Numbers: [33, 82] Generated Node #3: [33, 82] from Operation: 45+37=82 Current State: 49:[33, 82], Operations: ['50-17=33', '45+37=82'] Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 26, 24, 67, 84 ]
25
[ "26-24=2", "84/2=42", "67-42=25" ]
Current State: 25:[26, 24, 67, 84], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [67, 84, 2] Generated Node #2: [67, 84, 2] from Operation: 26-24=2 Current State: 25:[67, 84, 2], Operations: ['26-24=2'] Exploring Operation: 84/2=42, Resulting Numbers: [67, 42] Generated Node #3: [67, 42] from Operation: 84/2=42 Current State: 25:[67, 42], Operations: ['26-24=2', '84/2=42'] Exploring Operation: 67-42=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 71, 72, 85 ]
43
[ "72-71=1", "85+1=86", "86/2=43" ]
Current State: 43:[2, 71, 72, 85], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [2, 85, 1] Generated Node #2: [2, 85, 1] from Operation: 72-71=1 Current State: 43:[2, 85, 1], Operations: ['72-71=1'] Exploring Operation: 85+1=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 85+1=86 Current State: 43:[2, 86], Operations: ['72-71=1', '85+1=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 35, 30, 30 ]
85
[ "35-10=25", "30+30=60", "25+60=85" ]
Current State: 85:[10, 35, 30, 30], Operations: [] Exploring Operation: 35-10=25, Resulting Numbers: [30, 30, 25] Generated Node #2: [30, 30, 25] from Operation: 35-10=25 Current State: 85:[30, 30, 25], Operations: ['35-10=25'] Exploring Operation: 30+30=60, Resulting Numbers: [25, 60] Generated Node #3: [25, 60] from Operation: 30+30=60 Current State: 85:[25, 60], Operations: ['35-10=25', '30+30=60'] Exploring Operation: 25+60=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 11, 86, 90, 68 ]
16
[ "86-68=18", "90/18=5", "11+5=16" ]
Current State: 16:[11, 86, 90, 68], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [11, 90, 18] Generated Node #2: [11, 90, 18] from Operation: 86-68=18 Current State: 16:[11, 90, 18], Operations: ['86-68=18'] Exploring Operation: 90/18=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 90/18=5 Current State: 16:[11, 5], Operations: ['86-68=18', '90/18=5'] Exploring Operation: 11+5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 69, 7, 72 ]
34
[ "44+69=113", "7+72=79", "113-79=34" ]
Current State: 34:[44, 69, 7, 72], Operations: [] Exploring Operation: 44+69=113, Resulting Numbers: [7, 72, 113] Generated Node #2: [7, 72, 113] from Operation: 44+69=113 Current State: 34:[7, 72, 113], Operations: ['44+69=113'] Exploring Operation: 7+72=79, Resulting Numbers: [113, 79] Generated Node #3: [113, 79] from Operation: 7+72=79 Current State: 34:[113, 79], Operations: ['44+69=113', '7+72=79'] Exploring Operation: 113-79=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 15, 25, 88 ]
48
[ "30-15=15", "88-25=63", "63-15=48" ]
Current State: 48:[30, 15, 25, 88], Operations: [] Exploring Operation: 30-15=15, Resulting Numbers: [25, 88, 15] Generated Node #2: [25, 88, 15] from Operation: 30-15=15 Current State: 48:[25, 88, 15], Operations: ['30-15=15'] Exploring Operation: 88-25=63, Resulting Numbers: [15, 63] Generated Node #3: [15, 63] from Operation: 88-25=63 Current State: 48:[15, 63], Operations: ['30-15=15', '88-25=63'] Exploring Operation: 63-15=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 37, 40, 43, 21 ]
36
[ "40-37=3", "21/3=7", "43-7=36" ]
Current State: 36:[37, 40, 43, 21], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [43, 21, 3] Generated Node #2: [43, 21, 3] from Operation: 40-37=3 Current State: 36:[43, 21, 3], Operations: ['40-37=3'] Exploring Operation: 21/3=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 21/3=7 Current State: 36:[43, 7], Operations: ['40-37=3', '21/3=7'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 28, 58, 7, 4 ]
92
[ "58-28=30", "30-7=23", "4*23=92" ]
Current State: 92:[28, 58, 7, 4], Operations: [] Exploring Operation: 58-28=30, Resulting Numbers: [7, 4, 30] Generated Node #2: [7, 4, 30] from Operation: 58-28=30 Current State: 92:[7, 4, 30], Operations: ['58-28=30'] Exploring Operation: 30-7=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 30-7=23 Current State: 92:[4, 23], Operations: ['58-28=30', '30-7=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 51, 49, 19, 84 ]
58
[ "49+84=133", "133/19=7", "51+7=58" ]
Current State: 58:[51, 49, 19, 84], Operations: [] Exploring Operation: 49+84=133, Resulting Numbers: [51, 19, 133] Generated Node #2: [51, 19, 133] from Operation: 49+84=133 Current State: 58:[51, 19, 133], Operations: ['49+84=133'] Exploring Operation: 133/19=7, Resulting Numbers: [51, 7] Generated Node #3: [51, 7] from Operation: 133/19=7 Current State: 58:[51, 7], Operations: ['49+84=133', '133/19=7'] Exploring Operation: 51+7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 26, 2, 98, 49 ]
11
[ "26/2=13", "98/49=2", "13-2=11" ]
Current State: 11:[26, 2, 98, 49], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [98, 49, 13] Generated Node #2: [98, 49, 13] from Operation: 26/2=13 Current State: 11:[98, 49, 13], Operations: ['26/2=13'] Exploring Operation: 98/49=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 98/49=2 Current State: 11:[13, 2], Operations: ['26/2=13', '98/49=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 77, 53, 90, 15 ]
18
[ "77-53=24", "90/15=6", "24-6=18" ]
Current State: 18:[77, 53, 90, 15], Operations: [] Exploring Operation: 77-53=24, Resulting Numbers: [90, 15, 24] Generated Node #2: [90, 15, 24] from Operation: 77-53=24 Current State: 18:[90, 15, 24], Operations: ['77-53=24'] Exploring Operation: 90/15=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 90/15=6 Current State: 18:[24, 6], Operations: ['77-53=24', '90/15=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 99, 1, 60 ]
84
[ "5-1=4", "60/4=15", "99-15=84" ]
Current State: 84:[5, 99, 1, 60], Operations: [] Exploring Operation: 5-1=4, Resulting Numbers: [99, 60, 4] Generated Node #2: [99, 60, 4] from Operation: 5-1=4 Current State: 84:[99, 60, 4], Operations: ['5-1=4'] Exploring Operation: 60/4=15, Resulting Numbers: [99, 15] Generated Node #3: [99, 15] from Operation: 60/4=15 Current State: 84:[99, 15], Operations: ['5-1=4', '60/4=15'] Exploring Operation: 99-15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 12, 66, 25, 15 ]
86
[ "12*25=300", "300/15=20", "66+20=86" ]
Current State: 86:[12, 66, 25, 15], Operations: [] Exploring Operation: 12*25=300, Resulting Numbers: [66, 15, 300] Generated Node #2: [66, 15, 300] from Operation: 12*25=300 Current State: 86:[66, 15, 300], Operations: ['12*25=300'] Exploring Operation: 300/15=20, Resulting Numbers: [66, 20] Generated Node #3: [66, 20] from Operation: 300/15=20 Current State: 86:[66, 20], Operations: ['12*25=300', '300/15=20'] Exploring Operation: 66+20=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 95, 91, 10, 69 ]
83
[ "95-91=4", "10+69=79", "4+79=83" ]
Current State: 83:[95, 91, 10, 69], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [10, 69, 4] Generated Node #2: [10, 69, 4] from Operation: 95-91=4 Current State: 83:[10, 69, 4], Operations: ['95-91=4'] Exploring Operation: 10+69=79, Resulting Numbers: [4, 79] Generated Node #3: [4, 79] from Operation: 10+69=79 Current State: 83:[4, 79], Operations: ['95-91=4', '10+69=79'] Exploring Operation: 4+79=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 4, 6, 80, 23 ]
54
[ "4+80=84", "6*23=138", "138-84=54" ]
Current State: 54:[4, 6, 80, 23], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [6, 23, 84] Generated Node #2: [6, 23, 84] from Operation: 4+80=84 Current State: 54:[6, 23, 84], Operations: ['4+80=84'] Exploring Operation: 6*23=138, Resulting Numbers: [84, 138] Generated Node #3: [84, 138] from Operation: 6*23=138 Current State: 54:[84, 138], Operations: ['4+80=84', '6*23=138'] Exploring Operation: 138-84=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 7, 60, 45 ]
94
[ "4+7=11", "60+45=105", "105-11=94" ]
Current State: 94:[4, 7, 60, 45], Operations: [] Exploring Operation: 4+7=11, Resulting Numbers: [60, 45, 11] Generated Node #2: [60, 45, 11] from Operation: 4+7=11 Current State: 94:[60, 45, 11], Operations: ['4+7=11'] Exploring Operation: 60+45=105, Resulting Numbers: [11, 105] Generated Node #3: [11, 105] from Operation: 60+45=105 Current State: 94:[11, 105], Operations: ['4+7=11', '60+45=105'] Exploring Operation: 105-11=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 26, 86, 13, 67 ]
17
[ "26/13=2", "86-67=19", "19-2=17" ]
Current State: 17:[26, 86, 13, 67], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [86, 67, 2] Generated Node #2: [86, 67, 2] from Operation: 26/13=2 Current State: 17:[86, 67, 2], Operations: ['26/13=2'] Exploring Operation: 86-67=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 86-67=19 Current State: 17:[2, 19], Operations: ['26/13=2', '86-67=19'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 35, 77, 6, 84 ]
30
[ "35*6=210", "84-77=7", "210/7=30" ]
Current State: 30:[35, 77, 6, 84], Operations: [] Exploring Operation: 35*6=210, Resulting Numbers: [77, 84, 210] Generated Node #2: [77, 84, 210] from Operation: 35*6=210 Current State: 30:[77, 84, 210], Operations: ['35*6=210'] Exploring Operation: 84-77=7, Resulting Numbers: [210, 7] Generated Node #3: [210, 7] from Operation: 84-77=7 Current State: 30:[210, 7], Operations: ['35*6=210', '84-77=7'] Exploring Operation: 210/7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 51, 40, 56, 4 ]
20
[ "56-51=5", "4*5=20", "40-20=20" ]
Current State: 20:[51, 40, 56, 4], Operations: [] Exploring Operation: 56-51=5, Resulting Numbers: [40, 4, 5] Generated Node #2: [40, 4, 5] from Operation: 56-51=5 Current State: 20:[40, 4, 5], Operations: ['56-51=5'] Exploring Operation: 4*5=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 4*5=20 Current State: 20:[40, 20], Operations: ['56-51=5', '4*5=20'] Exploring Operation: 40-20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 20, 5, 96, 34 ]
40
[ "20/5=4", "34*4=136", "136-96=40" ]
Current State: 40:[20, 5, 96, 34], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [96, 34, 4] Generated Node #2: [96, 34, 4] from Operation: 20/5=4 Current State: 40:[96, 34, 4], Operations: ['20/5=4'] Exploring Operation: 34*4=136, Resulting Numbers: [96, 136] Generated Node #3: [96, 136] from Operation: 34*4=136 Current State: 40:[96, 136], Operations: ['20/5=4', '34*4=136'] Exploring Operation: 136-96=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 48, 91, 96, 84 ]
98
[ "96/48=2", "91*2=182", "182-84=98" ]
Current State: 98:[48, 91, 96, 84], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [91, 84, 2] Generated Node #2: [91, 84, 2] from Operation: 96/48=2 Current State: 98:[91, 84, 2], Operations: ['96/48=2'] Exploring Operation: 91*2=182, Resulting Numbers: [84, 182] Generated Node #3: [84, 182] from Operation: 91*2=182 Current State: 98:[84, 182], Operations: ['96/48=2', '91*2=182'] Exploring Operation: 182-84=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 29, 72, 24, 32 ]
88
[ "29-24=5", "32*5=160", "160-72=88" ]
Current State: 88:[29, 72, 24, 32], Operations: [] Exploring Operation: 29-24=5, Resulting Numbers: [72, 32, 5] Generated Node #2: [72, 32, 5] from Operation: 29-24=5 Current State: 88:[72, 32, 5], Operations: ['29-24=5'] Exploring Operation: 32*5=160, Resulting Numbers: [72, 160] Generated Node #3: [72, 160] from Operation: 32*5=160 Current State: 88:[72, 160], Operations: ['29-24=5', '32*5=160'] Exploring Operation: 160-72=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 3, 24, 29, 18 ]
27
[ "24-18=6", "6/3=2", "29-2=27" ]
Current State: 27:[3, 24, 29, 18], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [3, 29, 6] Generated Node #2: [3, 29, 6] from Operation: 24-18=6 Current State: 27:[3, 29, 6], Operations: ['24-18=6'] Exploring Operation: 6/3=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 6/3=2 Current State: 27:[29, 2], Operations: ['24-18=6', '6/3=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 70, 83, 2 ]
59
[ "2*70=140", "83-2=81", "140-81=59" ]
Current State: 59:[2, 70, 83, 2], Operations: [] Exploring Operation: 2*70=140, Resulting Numbers: [83, 140] Generated Node #2: [83, 140] from Operation: 2*70=140 Current State: 59:[83, 140], Operations: ['2*70=140'] Exploring Operation: 83-2=81, Resulting Numbers: [140, 81] Generated Node #3: [140, 81] from Operation: 83-2=81 Current State: 59:[140, 81], Operations: ['2*70=140', '83-2=81'] Exploring Operation: 140-81=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 57, 73, 76 ]
68
[ "24+57=81", "73+76=149", "149-81=68" ]
Current State: 68:[24, 57, 73, 76], Operations: [] Exploring Operation: 24+57=81, Resulting Numbers: [73, 76, 81] Generated Node #2: [73, 76, 81] from Operation: 24+57=81 Current State: 68:[73, 76, 81], Operations: ['24+57=81'] Exploring Operation: 73+76=149, Resulting Numbers: [81, 149] Generated Node #3: [81, 149] from Operation: 73+76=149 Current State: 68:[81, 149], Operations: ['24+57=81', '73+76=149'] Exploring Operation: 149-81=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 78, 29, 97, 24 ]
34
[ "78+29=107", "97-24=73", "107-73=34" ]
Current State: 34:[78, 29, 97, 24], Operations: [] Exploring Operation: 78+29=107, Resulting Numbers: [97, 24, 107] Generated Node #2: [97, 24, 107] from Operation: 78+29=107 Current State: 34:[97, 24, 107], Operations: ['78+29=107'] Exploring Operation: 97-24=73, Resulting Numbers: [107, 73] Generated Node #3: [107, 73] from Operation: 97-24=73 Current State: 34:[107, 73], Operations: ['78+29=107', '97-24=73'] Exploring Operation: 107-73=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 85, 35, 72, 4 ]
87
[ "85-72=13", "4*13=52", "35+52=87" ]
Current State: 87:[85, 35, 72, 4], Operations: [] Exploring Operation: 85-72=13, Resulting Numbers: [35, 4, 13] Generated Node #2: [35, 4, 13] from Operation: 85-72=13 Current State: 87:[35, 4, 13], Operations: ['85-72=13'] Exploring Operation: 4*13=52, Resulting Numbers: [35, 52] Generated Node #3: [35, 52] from Operation: 4*13=52 Current State: 87:[35, 52], Operations: ['85-72=13', '4*13=52'] Exploring Operation: 35+52=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 8, 35, 77, 27 ]
22
[ "77+27=104", "104/8=13", "35-13=22" ]
Current State: 22:[8, 35, 77, 27], Operations: [] Exploring Operation: 77+27=104, Resulting Numbers: [8, 35, 104] Generated Node #2: [8, 35, 104] from Operation: 77+27=104 Current State: 22:[8, 35, 104], Operations: ['77+27=104'] Exploring Operation: 104/8=13, Resulting Numbers: [35, 13] Generated Node #3: [35, 13] from Operation: 104/8=13 Current State: 22:[35, 13], Operations: ['77+27=104', '104/8=13'] Exploring Operation: 35-13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 69, 65, 47 ]
23
[ "20+69=89", "65+47=112", "112-89=23" ]
Current State: 23:[20, 69, 65, 47], Operations: [] Exploring Operation: 20+69=89, Resulting Numbers: [65, 47, 89] Generated Node #2: [65, 47, 89] from Operation: 20+69=89 Current State: 23:[65, 47, 89], Operations: ['20+69=89'] Exploring Operation: 65+47=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 65+47=112 Current State: 23:[89, 112], Operations: ['20+69=89', '65+47=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 70, 97, 28, 74 ]
19
[ "97-70=27", "74-28=46", "46-27=19" ]
Current State: 19:[70, 97, 28, 74], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [28, 74, 27] Generated Node #2: [28, 74, 27] from Operation: 97-70=27 Current State: 19:[28, 74, 27], Operations: ['97-70=27'] Exploring Operation: 74-28=46, Resulting Numbers: [27, 46] Generated Node #3: [27, 46] from Operation: 74-28=46 Current State: 19:[27, 46], Operations: ['97-70=27', '74-28=46'] Exploring Operation: 46-27=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 39, 2, 26 ]
12
[ "16*39=624", "2*26=52", "624/52=12" ]
Current State: 12:[16, 39, 2, 26], Operations: [] Exploring Operation: 16*39=624, Resulting Numbers: [2, 26, 624] Generated Node #2: [2, 26, 624] from Operation: 16*39=624 Current State: 12:[2, 26, 624], Operations: ['16*39=624'] Exploring Operation: 2*26=52, Resulting Numbers: [624, 52] Generated Node #3: [624, 52] from Operation: 2*26=52 Current State: 12:[624, 52], Operations: ['16*39=624', '2*26=52'] Exploring Operation: 624/52=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 47, 2, 40 ]
83
[ "40-22=18", "2*18=36", "47+36=83" ]
Current State: 83:[22, 47, 2, 40], Operations: [] Exploring Operation: 40-22=18, Resulting Numbers: [47, 2, 18] Generated Node #2: [47, 2, 18] from Operation: 40-22=18 Current State: 83:[47, 2, 18], Operations: ['40-22=18'] Exploring Operation: 2*18=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 2*18=36 Current State: 83:[47, 36], Operations: ['40-22=18', '2*18=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 84, 82, 26, 47 ]
75
[ "84-82=2", "26+47=73", "2+73=75" ]
Current State: 75:[84, 82, 26, 47], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [26, 47, 2] Generated Node #2: [26, 47, 2] from Operation: 84-82=2 Current State: 75:[26, 47, 2], Operations: ['84-82=2'] Exploring Operation: 26+47=73, Resulting Numbers: [2, 73] Generated Node #3: [2, 73] from Operation: 26+47=73 Current State: 75:[2, 73], Operations: ['84-82=2', '26+47=73'] Exploring Operation: 2+73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 24, 70, 86 ]
27
[ "70+86=156", "156/52=3", "24+3=27" ]
Current State: 27:[52, 24, 70, 86], Operations: [] Exploring Operation: 70+86=156, Resulting Numbers: [52, 24, 156] Generated Node #2: [52, 24, 156] from Operation: 70+86=156 Current State: 27:[52, 24, 156], Operations: ['70+86=156'] Exploring Operation: 156/52=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 156/52=3 Current State: 27:[24, 3], Operations: ['70+86=156', '156/52=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 48, 37, 1, 40 ]
15
[ "40-37=3", "48/3=16", "16-1=15" ]
Current State: 15:[48, 37, 1, 40], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [48, 1, 3] Generated Node #2: [48, 1, 3] from Operation: 40-37=3 Current State: 15:[48, 1, 3], Operations: ['40-37=3'] Exploring Operation: 48/3=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 48/3=16 Current State: 15:[1, 16], Operations: ['40-37=3', '48/3=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 81, 72, 82, 91 ]
18
[ "81-72=9", "91-82=9", "9+9=18" ]
Current State: 18:[81, 72, 82, 91], Operations: [] Exploring Operation: 81-72=9, Resulting Numbers: [82, 91, 9] Generated Node #2: [82, 91, 9] from Operation: 81-72=9 Current State: 18:[82, 91, 9], Operations: ['81-72=9'] Exploring Operation: 91-82=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 91-82=9 Current State: 18:[9, 9], Operations: ['81-72=9', '91-82=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 5, 46, 25, 36 ]
87
[ "25/5=5", "46+36=82", "5+82=87" ]
Current State: 87:[5, 46, 25, 36], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [46, 36, 5] Generated Node #2: [46, 36, 5] from Operation: 25/5=5 Current State: 87:[46, 36, 5], Operations: ['25/5=5'] Exploring Operation: 46+36=82, Resulting Numbers: [5, 82] Generated Node #3: [5, 82] from Operation: 46+36=82 Current State: 87:[5, 82], Operations: ['25/5=5', '46+36=82'] Exploring Operation: 5+82=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 77, 19, 53, 11 ]
79
[ "77+53=130", "19*11=209", "209-130=79" ]
Current State: 79:[77, 19, 53, 11], Operations: [] Exploring Operation: 77+53=130, Resulting Numbers: [19, 11, 130] Generated Node #2: [19, 11, 130] from Operation: 77+53=130 Current State: 79:[19, 11, 130], Operations: ['77+53=130'] Exploring Operation: 19*11=209, Resulting Numbers: [130, 209] Generated Node #3: [130, 209] from Operation: 19*11=209 Current State: 79:[130, 209], Operations: ['77+53=130', '19*11=209'] Exploring Operation: 209-130=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 45, 20, 2, 14 ]
37
[ "45+20=65", "2*14=28", "65-28=37" ]
Current State: 37:[45, 20, 2, 14], Operations: [] Exploring Operation: 45+20=65, Resulting Numbers: [2, 14, 65] Generated Node #2: [2, 14, 65] from Operation: 45+20=65 Current State: 37:[2, 14, 65], Operations: ['45+20=65'] Exploring Operation: 2*14=28, Resulting Numbers: [65, 28] Generated Node #3: [65, 28] from Operation: 2*14=28 Current State: 37:[65, 28], Operations: ['45+20=65', '2*14=28'] Exploring Operation: 65-28=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 10, 57, 46 ]
61
[ "7*57=399", "10*46=460", "460-399=61" ]
Current State: 61:[7, 10, 57, 46], Operations: [] Exploring Operation: 7*57=399, Resulting Numbers: [10, 46, 399] Generated Node #2: [10, 46, 399] from Operation: 7*57=399 Current State: 61:[10, 46, 399], Operations: ['7*57=399'] Exploring Operation: 10*46=460, Resulting Numbers: [399, 460] Generated Node #3: [399, 460] from Operation: 10*46=460 Current State: 61:[399, 460], Operations: ['7*57=399', '10*46=460'] Exploring Operation: 460-399=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 7, 77, 37, 74 ]
68
[ "77-7=70", "74/37=2", "70-2=68" ]
Current State: 68:[7, 77, 37, 74], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [37, 74, 70] Generated Node #2: [37, 74, 70] from Operation: 77-7=70 Current State: 68:[37, 74, 70], Operations: ['77-7=70'] Exploring Operation: 74/37=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 74/37=2 Current State: 68:[70, 2], Operations: ['77-7=70', '74/37=2'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 52, 10, 83, 3 ]
43
[ "52-10=42", "3*42=126", "126-83=43" ]
Current State: 43:[52, 10, 83, 3], Operations: [] Exploring Operation: 52-10=42, Resulting Numbers: [83, 3, 42] Generated Node #2: [83, 3, 42] from Operation: 52-10=42 Current State: 43:[83, 3, 42], Operations: ['52-10=42'] Exploring Operation: 3*42=126, Resulting Numbers: [83, 126] Generated Node #3: [83, 126] from Operation: 3*42=126 Current State: 43:[83, 126], Operations: ['52-10=42', '3*42=126'] Exploring Operation: 126-83=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 53, 23, 64, 65 ]
76
[ "53+23=76", "65-64=1", "76*1=76" ]
Current State: 76:[53, 23, 64, 65], Operations: [] Exploring Operation: 53+23=76, Resulting Numbers: [64, 65, 76] Generated Node #2: [64, 65, 76] from Operation: 53+23=76 Current State: 76:[64, 65, 76], Operations: ['53+23=76'] Exploring Operation: 65-64=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 65-64=1 Current State: 76:[76, 1], Operations: ['53+23=76', '65-64=1'] Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 1, 45, 2 ]
46
[ "49+45=94", "94/2=47", "47-1=46" ]
Current State: 46:[49, 1, 45, 2], Operations: [] Exploring Operation: 49+45=94, Resulting Numbers: [1, 2, 94] Generated Node #2: [1, 2, 94] from Operation: 49+45=94 Current State: 46:[1, 2, 94], Operations: ['49+45=94'] Exploring Operation: 94/2=47, Resulting Numbers: [1, 47] Generated Node #3: [1, 47] from Operation: 94/2=47 Current State: 46:[1, 47], Operations: ['49+45=94', '94/2=47'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 84, 73, 90, 18 ]
49
[ "84+73=157", "90+18=108", "157-108=49" ]
Current State: 49:[84, 73, 90, 18], Operations: [] Exploring Operation: 84+73=157, Resulting Numbers: [90, 18, 157] Generated Node #2: [90, 18, 157] from Operation: 84+73=157 Current State: 49:[90, 18, 157], Operations: ['84+73=157'] Exploring Operation: 90+18=108, Resulting Numbers: [157, 108] Generated Node #3: [157, 108] from Operation: 90+18=108 Current State: 49:[157, 108], Operations: ['84+73=157', '90+18=108'] Exploring Operation: 157-108=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 95, 25, 2 ]
87
[ "54+95=149", "25+149=174", "174/2=87" ]
Current State: 87:[54, 95, 25, 2], Operations: [] Exploring Operation: 54+95=149, Resulting Numbers: [25, 2, 149] Generated Node #2: [25, 2, 149] from Operation: 54+95=149 Current State: 87:[25, 2, 149], Operations: ['54+95=149'] Exploring Operation: 25+149=174, Resulting Numbers: [2, 174] Generated Node #3: [2, 174] from Operation: 25+149=174 Current State: 87:[2, 174], Operations: ['54+95=149', '25+149=174'] Exploring Operation: 174/2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 3, 92, 81 ]
83
[ "92-81=11", "3*11=33", "50+33=83" ]
Current State: 83:[50, 3, 92, 81], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [50, 3, 11] Generated Node #2: [50, 3, 11] from Operation: 92-81=11 Current State: 83:[50, 3, 11], Operations: ['92-81=11'] Exploring Operation: 3*11=33, Resulting Numbers: [50, 33] Generated Node #3: [50, 33] from Operation: 3*11=33 Current State: 83:[50, 33], Operations: ['92-81=11', '3*11=33'] Exploring Operation: 50+33=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 78, 26, 92, 51 ]
38
[ "78/26=3", "92-51=41", "41-3=38" ]
Current State: 38:[78, 26, 92, 51], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [92, 51, 3] Generated Node #2: [92, 51, 3] from Operation: 78/26=3 Current State: 38:[92, 51, 3], Operations: ['78/26=3'] Exploring Operation: 92-51=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 92-51=41 Current State: 38:[3, 41], Operations: ['78/26=3', '92-51=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 5, 79, 79, 59 ]
75
[ "79-59=20", "20/5=4", "79-4=75" ]
Current State: 75:[5, 79, 79, 59], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [5, 20] Generated Node #2: [5, 20] from Operation: 79-59=20 Current State: 75:[5, 20], Operations: ['79-59=20'] Exploring Operation: 20/5=4, Resulting Numbers: [4] 4,75 equal: Goal Reached Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 19, 45, 38 ]
99
[ "52+45=97", "38/19=2", "97+2=99" ]
Current State: 99:[52, 19, 45, 38], Operations: [] Exploring Operation: 52+45=97, Resulting Numbers: [19, 38, 97] Generated Node #2: [19, 38, 97] from Operation: 52+45=97 Current State: 99:[19, 38, 97], Operations: ['52+45=97'] Exploring Operation: 38/19=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 38/19=2 Current State: 99:[97, 2], Operations: ['52+45=97', '38/19=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 88, 2, 10, 83 ]
88
[ "88-10=78", "2*83=166", "166-78=88" ]
Current State: 88:[88, 2, 10, 83], Operations: [] Exploring Operation: 88-10=78, Resulting Numbers: [2, 83, 78] Generated Node #2: [2, 83, 78] from Operation: 88-10=78 Current State: 88:[2, 83, 78], Operations: ['88-10=78'] Exploring Operation: 2*83=166, Resulting Numbers: [78, 166] Generated Node #3: [78, 166] from Operation: 2*83=166 Current State: 88:[78, 166], Operations: ['88-10=78', '2*83=166'] Exploring Operation: 166-78=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 20, 17, 76 ]
14
[ "68/17=4", "76-20=56", "56/4=14" ]
Current State: 14:[68, 20, 17, 76], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [20, 76, 4] Generated Node #2: [20, 76, 4] from Operation: 68/17=4 Current State: 14:[20, 76, 4], Operations: ['68/17=4'] Exploring Operation: 76-20=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 76-20=56 Current State: 14:[4, 56], Operations: ['68/17=4', '76-20=56'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 42, 21, 75 ]
35
[ "3+42=45", "21*75=1575", "1575/45=35" ]
Current State: 35:[3, 42, 21, 75], Operations: [] Exploring Operation: 3+42=45, Resulting Numbers: [21, 75, 45] Generated Node #2: [21, 75, 45] from Operation: 3+42=45 Current State: 35:[21, 75, 45], Operations: ['3+42=45'] Exploring Operation: 21*75=1575, Resulting Numbers: [45, 1575] Generated Node #3: [45, 1575] from Operation: 21*75=1575 Current State: 35:[45, 1575], Operations: ['3+42=45', '21*75=1575'] Exploring Operation: 1575/45=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 77, 87, 85, 13 ]
62
[ "87-77=10", "85-13=72", "72-10=62" ]
Current State: 62:[77, 87, 85, 13], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [85, 13, 10] Generated Node #2: [85, 13, 10] from Operation: 87-77=10 Current State: 62:[85, 13, 10], Operations: ['87-77=10'] Exploring Operation: 85-13=72, Resulting Numbers: [10, 72] Generated Node #3: [10, 72] from Operation: 85-13=72 Current State: 62:[10, 72], Operations: ['87-77=10', '85-13=72'] Exploring Operation: 72-10=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 27, 9, 14, 9 ]
41
[ "27+9=36", "14-9=5", "36+5=41" ]
Current State: 41:[27, 9, 14, 9], Operations: [] Exploring Operation: 27+9=36, Resulting Numbers: [14, 36] Generated Node #2: [14, 36] from Operation: 27+9=36 Current State: 41:[14, 36], Operations: ['27+9=36'] Exploring Operation: 14-9=5, Resulting Numbers: [36, 5] Generated Node #3: [36, 5] from Operation: 14-9=5 Current State: 41:[36, 5], Operations: ['27+9=36', '14-9=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 35, 3, 41, 67 ]
65
[ "41-35=6", "6/3=2", "67-2=65" ]
Current State: 65:[35, 3, 41, 67], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [3, 67, 6] Generated Node #2: [3, 67, 6] from Operation: 41-35=6 Current State: 65:[3, 67, 6], Operations: ['41-35=6'] Exploring Operation: 6/3=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 6/3=2 Current State: 65:[67, 2], Operations: ['41-35=6', '6/3=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 72, 2, 42, 76 ]
53
[ "72-42=30", "76+30=106", "106/2=53" ]
Current State: 53:[72, 2, 42, 76], Operations: [] Exploring Operation: 72-42=30, Resulting Numbers: [2, 76, 30] Generated Node #2: [2, 76, 30] from Operation: 72-42=30 Current State: 53:[2, 76, 30], Operations: ['72-42=30'] Exploring Operation: 76+30=106, Resulting Numbers: [2, 106] Generated Node #3: [2, 106] from Operation: 76+30=106 Current State: 53:[2, 106], Operations: ['72-42=30', '76+30=106'] Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 74, 67, 8, 68 ]
67
[ "74-67=7", "68-8=60", "7+60=67" ]
Current State: 67:[74, 67, 8, 68], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [8, 68, 7] Generated Node #2: [8, 68, 7] from Operation: 74-67=7 Current State: 67:[8, 68, 7], Operations: ['74-67=7'] Exploring Operation: 68-8=60, Resulting Numbers: [7, 60] Generated Node #3: [7, 60] from Operation: 68-8=60 Current State: 67:[7, 60], Operations: ['74-67=7', '68-8=60'] Exploring Operation: 7+60=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 10, 86, 4, 55 ]
84
[ "86-10=76", "76-55=21", "4*21=84" ]
Current State: 84:[10, 86, 4, 55], Operations: [] Exploring Operation: 86-10=76, Resulting Numbers: [4, 55, 76] Generated Node #2: [4, 55, 76] from Operation: 86-10=76 Current State: 84:[4, 55, 76], Operations: ['86-10=76'] Exploring Operation: 76-55=21, Resulting Numbers: [4, 21] Generated Node #3: [4, 21] from Operation: 76-55=21 Current State: 84:[4, 21], Operations: ['86-10=76', '76-55=21'] Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 71, 72, 73, 18 ]
45
[ "73-71=2", "72+18=90", "90/2=45" ]
Current State: 45:[71, 72, 73, 18], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [72, 18, 2] Generated Node #2: [72, 18, 2] from Operation: 73-71=2 Current State: 45:[72, 18, 2], Operations: ['73-71=2'] Exploring Operation: 72+18=90, Resulting Numbers: [2, 90] Generated Node #3: [2, 90] from Operation: 72+18=90 Current State: 45:[2, 90], Operations: ['73-71=2', '72+18=90'] Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 44, 40, 11, 7 ]
81
[ "44-40=4", "11*7=77", "4+77=81" ]
Current State: 81:[44, 40, 11, 7], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [11, 7, 4] Generated Node #2: [11, 7, 4] from Operation: 44-40=4 Current State: 81:[11, 7, 4], Operations: ['44-40=4'] Exploring Operation: 11*7=77, Resulting Numbers: [4, 77] Generated Node #3: [4, 77] from Operation: 11*7=77 Current State: 81:[4, 77], Operations: ['44-40=4', '11*7=77'] Exploring Operation: 4+77=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 48, 78, 64, 6 ]
86
[ "48/6=8", "64/8=8", "78+8=86" ]
Current State: 86:[48, 78, 64, 6], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [78, 64, 8] Generated Node #2: [78, 64, 8] from Operation: 48/6=8 Current State: 86:[78, 64, 8], Operations: ['48/6=8'] Exploring Operation: 64/8=8, Resulting Numbers: [78, 8] Generated Node #3: [78, 8] from Operation: 64/8=8 Current State: 86:[78, 8], Operations: ['48/6=8', '64/8=8'] Exploring Operation: 78+8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 68, 43, 70 ]
32
[ "68-9=59", "70-43=27", "59-27=32" ]
Current State: 32:[9, 68, 43, 70], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [43, 70, 59] Generated Node #2: [43, 70, 59] from Operation: 68-9=59 Current State: 32:[43, 70, 59], Operations: ['68-9=59'] Exploring Operation: 70-43=27, Resulting Numbers: [59, 27] Generated Node #3: [59, 27] from Operation: 70-43=27 Current State: 32:[59, 27], Operations: ['68-9=59', '70-43=27'] Exploring Operation: 59-27=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 5, 3, 56, 73 ]
36
[ "5+56=61", "73-61=12", "3*12=36" ]
Current State: 36:[5, 3, 56, 73], Operations: [] Exploring Operation: 5+56=61, Resulting Numbers: [3, 73, 61] Generated Node #2: [3, 73, 61] from Operation: 5+56=61 Current State: 36:[3, 73, 61], Operations: ['5+56=61'] Exploring Operation: 73-61=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 73-61=12 Current State: 36:[3, 12], Operations: ['5+56=61', '73-61=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 3, 2, 63, 77 ]
13
[ "3-2=1", "77-63=14", "14-1=13" ]
Current State: 13:[3, 2, 63, 77], Operations: [] Exploring Operation: 3-2=1, Resulting Numbers: [63, 77, 1] Generated Node #2: [63, 77, 1] from Operation: 3-2=1 Current State: 13:[63, 77, 1], Operations: ['3-2=1'] Exploring Operation: 77-63=14, Resulting Numbers: [1, 14] Generated Node #3: [1, 14] from Operation: 77-63=14 Current State: 13:[1, 14], Operations: ['3-2=1', '77-63=14'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 73, 51, 59, 9 ]
56
[ "73+51=124", "59+9=68", "124-68=56" ]
Current State: 56:[73, 51, 59, 9], Operations: [] Exploring Operation: 73+51=124, Resulting Numbers: [59, 9, 124] Generated Node #2: [59, 9, 124] from Operation: 73+51=124 Current State: 56:[59, 9, 124], Operations: ['73+51=124'] Exploring Operation: 59+9=68, Resulting Numbers: [124, 68] Generated Node #3: [124, 68] from Operation: 59+9=68 Current State: 56:[124, 68], Operations: ['73+51=124', '59+9=68'] Exploring Operation: 124-68=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 81, 7, 17 ]
16
[ "81-74=7", "7/7=1", "17-1=16" ]
Current State: 16:[74, 81, 7, 17], Operations: [] Exploring Operation: 81-74=7, Resulting Numbers: [7, 17, 7] Generated Node #2: [7, 17, 7] from Operation: 81-74=7 Current State: 16:[7, 17, 7], Operations: ['81-74=7'] Exploring Operation: 7/7=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 7/7=1 Current State: 16:[17, 1], Operations: ['81-74=7', '7/7=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 34, 49, 2, 43 ]
11
[ "34/2=17", "49-43=6", "17-6=11" ]
Current State: 11:[34, 49, 2, 43], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [49, 43, 17] Generated Node #2: [49, 43, 17] from Operation: 34/2=17 Current State: 11:[49, 43, 17], Operations: ['34/2=17'] Exploring Operation: 49-43=6, Resulting Numbers: [17, 6] Generated Node #3: [17, 6] from Operation: 49-43=6 Current State: 11:[17, 6], Operations: ['34/2=17', '49-43=6'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 20, 71, 36 ]
82
[ "36/4=9", "20+71=91", "91-9=82" ]
Current State: 82:[4, 20, 71, 36], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [20, 71, 9] Generated Node #2: [20, 71, 9] from Operation: 36/4=9 Current State: 82:[20, 71, 9], Operations: ['36/4=9'] Exploring Operation: 20+71=91, Resulting Numbers: [9, 91] Generated Node #3: [9, 91] from Operation: 20+71=91 Current State: 82:[9, 91], Operations: ['36/4=9', '20+71=91'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 34, 94, 73 ]
66
[ "11+34=45", "94-73=21", "45+21=66" ]
Current State: 66:[11, 34, 94, 73], Operations: [] Exploring Operation: 11+34=45, Resulting Numbers: [94, 73, 45] Generated Node #2: [94, 73, 45] from Operation: 11+34=45 Current State: 66:[94, 73, 45], Operations: ['11+34=45'] Exploring Operation: 94-73=21, Resulting Numbers: [45, 21] Generated Node #3: [45, 21] from Operation: 94-73=21 Current State: 66:[45, 21], Operations: ['11+34=45', '94-73=21'] Exploring Operation: 45+21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 86, 21, 14 ]
35
[ "86-44=42", "21-14=7", "42-7=35" ]
Current State: 35:[44, 86, 21, 14], Operations: [] Exploring Operation: 86-44=42, Resulting Numbers: [21, 14, 42] Generated Node #2: [21, 14, 42] from Operation: 86-44=42 Current State: 35:[21, 14, 42], Operations: ['86-44=42'] Exploring Operation: 21-14=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 21-14=7 Current State: 35:[42, 7], Operations: ['86-44=42', '21-14=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 88, 76, 52, 57 ]
55
[ "88+76=164", "52+57=109", "164-109=55" ]
Current State: 55:[88, 76, 52, 57], Operations: [] Exploring Operation: 88+76=164, Resulting Numbers: [52, 57, 164] Generated Node #2: [52, 57, 164] from Operation: 88+76=164 Current State: 55:[52, 57, 164], Operations: ['88+76=164'] Exploring Operation: 52+57=109, Resulting Numbers: [164, 109] Generated Node #3: [164, 109] from Operation: 52+57=109 Current State: 55:[164, 109], Operations: ['88+76=164', '52+57=109'] Exploring Operation: 164-109=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 29, 37, 10, 7 ]
31
[ "29*10=290", "37*7=259", "290-259=31" ]
Current State: 31:[29, 37, 10, 7], Operations: [] Exploring Operation: 29*10=290, Resulting Numbers: [37, 7, 290] Generated Node #2: [37, 7, 290] from Operation: 29*10=290 Current State: 31:[37, 7, 290], Operations: ['29*10=290'] Exploring Operation: 37*7=259, Resulting Numbers: [290, 259] Generated Node #3: [290, 259] from Operation: 37*7=259 Current State: 31:[290, 259], Operations: ['29*10=290', '37*7=259'] Exploring Operation: 290-259=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 20, 32, 83, 80 ]
28
[ "83-80=3", "20*3=60", "60-32=28" ]
Current State: 28:[20, 32, 83, 80], Operations: [] Exploring Operation: 83-80=3, Resulting Numbers: [20, 32, 3] Generated Node #2: [20, 32, 3] from Operation: 83-80=3 Current State: 28:[20, 32, 3], Operations: ['83-80=3'] Exploring Operation: 20*3=60, Resulting Numbers: [32, 60] Generated Node #3: [32, 60] from Operation: 20*3=60 Current State: 28:[32, 60], Operations: ['83-80=3', '20*3=60'] Exploring Operation: 60-32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 20, 52, 51, 50 ]
73
[ "20+52=72", "51-50=1", "72+1=73" ]
Current State: 73:[20, 52, 51, 50], Operations: [] Exploring Operation: 20+52=72, Resulting Numbers: [51, 50, 72] Generated Node #2: [51, 50, 72] from Operation: 20+52=72 Current State: 73:[51, 50, 72], Operations: ['20+52=72'] Exploring Operation: 51-50=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 51-50=1 Current State: 73:[72, 1], Operations: ['20+52=72', '51-50=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 17, 11, 3, 93 ]
77
[ "17+93=110", "11*3=33", "110-33=77" ]
Current State: 77:[17, 11, 3, 93], Operations: [] Exploring Operation: 17+93=110, Resulting Numbers: [11, 3, 110] Generated Node #2: [11, 3, 110] from Operation: 17+93=110 Current State: 77:[11, 3, 110], Operations: ['17+93=110'] Exploring Operation: 11*3=33, Resulting Numbers: [110, 33] Generated Node #3: [110, 33] from Operation: 11*3=33 Current State: 77:[110, 33], Operations: ['17+93=110', '11*3=33'] Exploring Operation: 110-33=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 68, 76, 31 ]
14
[ "81+31=112", "76-68=8", "112/8=14" ]
Current State: 14:[81, 68, 76, 31], Operations: [] Exploring Operation: 81+31=112, Resulting Numbers: [68, 76, 112] Generated Node #2: [68, 76, 112] from Operation: 81+31=112 Current State: 14:[68, 76, 112], Operations: ['81+31=112'] Exploring Operation: 76-68=8, Resulting Numbers: [112, 8] Generated Node #3: [112, 8] from Operation: 76-68=8 Current State: 14:[112, 8], Operations: ['81+31=112', '76-68=8'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 32, 16, 45, 1 ]
22
[ "32/16=2", "45-1=44", "44/2=22" ]
Current State: 22:[32, 16, 45, 1], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [45, 1, 2] Generated Node #2: [45, 1, 2] from Operation: 32/16=2 Current State: 22:[45, 1, 2], Operations: ['32/16=2'] Exploring Operation: 45-1=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 45-1=44 Current State: 22:[2, 44], Operations: ['32/16=2', '45-1=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 97, 16, 66, 67 ]
80
[ "97-16=81", "67-66=1", "81-1=80" ]
Current State: 80:[97, 16, 66, 67], Operations: [] Exploring Operation: 97-16=81, Resulting Numbers: [66, 67, 81] Generated Node #2: [66, 67, 81] from Operation: 97-16=81 Current State: 80:[66, 67, 81], Operations: ['97-16=81'] Exploring Operation: 67-66=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 67-66=1 Current State: 80:[81, 1], Operations: ['97-16=81', '67-66=1'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 50, 20, 16, 5 ]
41
[ "50-20=30", "16-5=11", "30+11=41" ]
Current State: 41:[50, 20, 16, 5], Operations: [] Exploring Operation: 50-20=30, Resulting Numbers: [16, 5, 30] Generated Node #2: [16, 5, 30] from Operation: 50-20=30 Current State: 41:[16, 5, 30], Operations: ['50-20=30'] Exploring Operation: 16-5=11, Resulting Numbers: [30, 11] Generated Node #3: [30, 11] from Operation: 16-5=11 Current State: 41:[30, 11], Operations: ['50-20=30', '16-5=11'] Exploring Operation: 30+11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 28, 6, 53, 56 ]
65
[ "56/28=2", "6*2=12", "53+12=65" ]
Current State: 65:[28, 6, 53, 56], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [6, 53, 2] Generated Node #2: [6, 53, 2] from Operation: 56/28=2 Current State: 65:[6, 53, 2], Operations: ['56/28=2'] Exploring Operation: 6*2=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 6*2=12 Current State: 65:[53, 12], Operations: ['56/28=2', '6*2=12'] Exploring Operation: 53+12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 86, 42, 40 ]
39
[ "86-49=37", "42-40=2", "37+2=39" ]
Current State: 39:[49, 86, 42, 40], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [42, 40, 37] Generated Node #2: [42, 40, 37] from Operation: 86-49=37 Current State: 39:[42, 40, 37], Operations: ['86-49=37'] Exploring Operation: 42-40=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 42-40=2 Current State: 39:[37, 2], Operations: ['86-49=37', '42-40=2'] Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 47, 95, 14, 28 ]
96
[ "95-47=48", "28/14=2", "48*2=96" ]
Current State: 96:[47, 95, 14, 28], Operations: [] Exploring Operation: 95-47=48, Resulting Numbers: [14, 28, 48] Generated Node #2: [14, 28, 48] from Operation: 95-47=48 Current State: 96:[14, 28, 48], Operations: ['95-47=48'] Exploring Operation: 28/14=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 28/14=2 Current State: 96:[48, 2], Operations: ['95-47=48', '28/14=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 97, 64, 32, 21 ]
21
[ "97-64=33", "33-32=1", "21*1=21" ]
Current State: 21:[97, 64, 32, 21], Operations: [] Exploring Operation: 97-64=33, Resulting Numbers: [32, 21, 33] Generated Node #2: [32, 21, 33] from Operation: 97-64=33 Current State: 21:[32, 21, 33], Operations: ['97-64=33'] Exploring Operation: 33-32=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 33-32=1 Current State: 21:[21, 1], Operations: ['97-64=33', '33-32=1'] Exploring Operation: 21*1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 95, 30, 36, 63 ]
26
[ "95+30=125", "36+63=99", "125-99=26" ]
Current State: 26:[95, 30, 36, 63], Operations: [] Exploring Operation: 95+30=125, Resulting Numbers: [36, 63, 125] Generated Node #2: [36, 63, 125] from Operation: 95+30=125 Current State: 26:[36, 63, 125], Operations: ['95+30=125'] Exploring Operation: 36+63=99, Resulting Numbers: [125, 99] Generated Node #3: [125, 99] from Operation: 36+63=99 Current State: 26:[125, 99], Operations: ['95+30=125', '36+63=99'] Exploring Operation: 125-99=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 74, 63, 25, 80 ]
44
[ "74-63=11", "80-25=55", "55-11=44" ]
Current State: 44:[74, 63, 25, 80], Operations: [] Exploring Operation: 74-63=11, Resulting Numbers: [25, 80, 11] Generated Node #2: [25, 80, 11] from Operation: 74-63=11 Current State: 44:[25, 80, 11], Operations: ['74-63=11'] Exploring Operation: 80-25=55, Resulting Numbers: [11, 55] Generated Node #3: [11, 55] from Operation: 80-25=55 Current State: 44:[11, 55], Operations: ['74-63=11', '80-25=55'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 80, 7, 46, 10 ]
42
[ "80+46=126", "10-7=3", "126/3=42" ]
Current State: 42:[80, 7, 46, 10], Operations: [] Exploring Operation: 80+46=126, Resulting Numbers: [7, 10, 126] Generated Node #2: [7, 10, 126] from Operation: 80+46=126 Current State: 42:[7, 10, 126], Operations: ['80+46=126'] Exploring Operation: 10-7=3, Resulting Numbers: [126, 3] Generated Node #3: [126, 3] from Operation: 10-7=3 Current State: 42:[126, 3], Operations: ['80+46=126', '10-7=3'] Exploring Operation: 126/3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 75, 13, 48, 6 ]
45
[ "75+48=123", "13*6=78", "123-78=45" ]
Current State: 45:[75, 13, 48, 6], Operations: [] Exploring Operation: 75+48=123, Resulting Numbers: [13, 6, 123] Generated Node #2: [13, 6, 123] from Operation: 75+48=123 Current State: 45:[13, 6, 123], Operations: ['75+48=123'] Exploring Operation: 13*6=78, Resulting Numbers: [123, 78] Generated Node #3: [123, 78] from Operation: 13*6=78 Current State: 45:[123, 78], Operations: ['75+48=123', '13*6=78'] Exploring Operation: 123-78=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 57, 63, 87 ]
34
[ "59+57=116", "63+87=150", "150-116=34" ]
Current State: 34:[59, 57, 63, 87], Operations: [] Exploring Operation: 59+57=116, Resulting Numbers: [63, 87, 116] Generated Node #2: [63, 87, 116] from Operation: 59+57=116 Current State: 34:[63, 87, 116], Operations: ['59+57=116'] Exploring Operation: 63+87=150, Resulting Numbers: [116, 150] Generated Node #3: [116, 150] from Operation: 63+87=150 Current State: 34:[116, 150], Operations: ['59+57=116', '63+87=150'] Exploring Operation: 150-116=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 36, 69, 25, 2 ]
60
[ "69-36=33", "25+2=27", "33+27=60" ]
Current State: 60:[36, 69, 25, 2], Operations: [] Exploring Operation: 69-36=33, Resulting Numbers: [25, 2, 33] Generated Node #2: [25, 2, 33] from Operation: 69-36=33 Current State: 60:[25, 2, 33], Operations: ['69-36=33'] Exploring Operation: 25+2=27, Resulting Numbers: [33, 27] Generated Node #3: [33, 27] from Operation: 25+2=27 Current State: 60:[33, 27], Operations: ['69-36=33', '25+2=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 24, 54, 69, 27 ]
91
[ "24+69=93", "54/27=2", "93-2=91" ]
Current State: 91:[24, 54, 69, 27], Operations: [] Exploring Operation: 24+69=93, Resulting Numbers: [54, 27, 93] Generated Node #2: [54, 27, 93] from Operation: 24+69=93 Current State: 91:[54, 27, 93], Operations: ['24+69=93'] Exploring Operation: 54/27=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 54/27=2 Current State: 91:[93, 2], Operations: ['24+69=93', '54/27=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 79, 88, 35 ]
69
[ "79-63=16", "88-35=53", "16+53=69" ]
Current State: 69:[63, 79, 88, 35], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [88, 35, 16] Generated Node #2: [88, 35, 16] from Operation: 79-63=16 Current State: 69:[88, 35, 16], Operations: ['79-63=16'] Exploring Operation: 88-35=53, Resulting Numbers: [16, 53] Generated Node #3: [16, 53] from Operation: 88-35=53 Current State: 69:[16, 53], Operations: ['79-63=16', '88-35=53'] Exploring Operation: 16+53=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 68, 10, 4, 89 ]
81
[ "68*10=680", "680/4=170", "170-89=81" ]
Current State: 81:[68, 10, 4, 89], Operations: [] Exploring Operation: 68*10=680, Resulting Numbers: [4, 89, 680] Generated Node #2: [4, 89, 680] from Operation: 68*10=680 Current State: 81:[4, 89, 680], Operations: ['68*10=680'] Exploring Operation: 680/4=170, Resulting Numbers: [89, 170] Generated Node #3: [89, 170] from Operation: 680/4=170 Current State: 81:[89, 170], Operations: ['68*10=680', '680/4=170'] Exploring Operation: 170-89=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 32, 16, 58 ]
43
[ "32/16=2", "58/2=29", "14+29=43" ]
Current State: 43:[14, 32, 16, 58], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [14, 58, 2] Generated Node #2: [14, 58, 2] from Operation: 32/16=2 Current State: 43:[14, 58, 2], Operations: ['32/16=2'] Exploring Operation: 58/2=29, Resulting Numbers: [14, 29] Generated Node #3: [14, 29] from Operation: 58/2=29 Current State: 43:[14, 29], Operations: ['32/16=2', '58/2=29'] Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 21, 18, 34 ]
53
[ "6*18=108", "21+34=55", "108-55=53" ]
Current State: 53:[6, 21, 18, 34], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [21, 34, 108] Generated Node #2: [21, 34, 108] from Operation: 6*18=108 Current State: 53:[21, 34, 108], Operations: ['6*18=108'] Exploring Operation: 21+34=55, Resulting Numbers: [108, 55] Generated Node #3: [108, 55] from Operation: 21+34=55 Current State: 53:[108, 55], Operations: ['6*18=108', '21+34=55'] Exploring Operation: 108-55=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 76, 38, 26, 68 ]
80
[ "76-38=38", "68-26=42", "38+42=80" ]
Current State: 80:[76, 38, 26, 68], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [26, 68, 38] Generated Node #2: [26, 68, 38] from Operation: 76-38=38 Current State: 80:[26, 68, 38], Operations: ['76-38=38'] Exploring Operation: 68-26=42, Resulting Numbers: [38, 42] Generated Node #3: [38, 42] from Operation: 68-26=42 Current State: 80:[38, 42], Operations: ['76-38=38', '68-26=42'] Exploring Operation: 38+42=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 3, 24, 50, 7 ]
53
[ "24-3=21", "21/7=3", "50+3=53" ]
Current State: 53:[3, 24, 50, 7], Operations: [] Exploring Operation: 24-3=21, Resulting Numbers: [50, 7, 21] Generated Node #2: [50, 7, 21] from Operation: 24-3=21 Current State: 53:[50, 7, 21], Operations: ['24-3=21'] Exploring Operation: 21/7=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 21/7=3 Current State: 53:[50, 3], Operations: ['24-3=21', '21/7=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4