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
[ 10, 34, 4, 62 ]
12
[ "10*4=40", "62-34=28", "40-28=12" ]
Current State: 12:[10, 34, 4, 62], Operations: [] Exploring Operation: 10*4=40, Resulting Numbers: [34, 62, 40] Generated Node #2: [34, 62, 40] from Operation: 10*4=40 Current State: 12:[34, 62, 40], Operations: ['10*4=40'] Exploring Operation: 62-34=28, Resulting Numbers: [40, 28] Generated Node #3: [40, 28] from Operation: 62-34=28 Current State: 12:[40, 28], Operations: ['10*4=40', '62-34=28'] Exploring Operation: 40-28=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 24, 60, 49, 58 ]
75
[ "24+60=84", "58-49=9", "84-9=75" ]
Current State: 75:[24, 60, 49, 58], Operations: [] Exploring Operation: 24+60=84, Resulting Numbers: [49, 58, 84] Generated Node #2: [49, 58, 84] from Operation: 24+60=84 Current State: 75:[49, 58, 84], Operations: ['24+60=84'] Exploring Operation: 58-49=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 58-49=9 Current State: 75:[84, 9], Operations: ['24+60=84', '58-49=9'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 1, 8, 18, 56 ]
11
[ "1*8=8", "56/8=7", "18-7=11" ]
Current State: 11:[1, 8, 18, 56], Operations: [] Exploring Operation: 1*8=8, Resulting Numbers: [18, 56, 8] Generated Node #2: [18, 56, 8] from Operation: 1*8=8 Current State: 11:[18, 56, 8], Operations: ['1*8=8'] Exploring Operation: 56/8=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 56/8=7 Current State: 11:[18, 7], Operations: ['1*8=8', '56/8=7'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 5, 36, 21, 78 ]
98
[ "5+36=41", "78-21=57", "41+57=98" ]
Current State: 98:[5, 36, 21, 78], Operations: [] Exploring Operation: 5+36=41, Resulting Numbers: [21, 78, 41] Generated Node #2: [21, 78, 41] from Operation: 5+36=41 Current State: 98:[21, 78, 41], Operations: ['5+36=41'] Exploring Operation: 78-21=57, Resulting Numbers: [41, 57] Generated Node #3: [41, 57] from Operation: 78-21=57 Current State: 98:[41, 57], Operations: ['5+36=41', '78-21=57'] Exploring Operation: 41+57=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 1, 77, 3 ]
93
[ "3-1=2", "32/2=16", "77+16=93" ]
Current State: 93:[32, 1, 77, 3], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [32, 77, 2] Generated Node #2: [32, 77, 2] from Operation: 3-1=2 Current State: 93:[32, 77, 2], Operations: ['3-1=2'] Exploring Operation: 32/2=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 32/2=16 Current State: 93:[77, 16], Operations: ['3-1=2', '32/2=16'] Exploring Operation: 77+16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 43, 6, 65, 84 ]
68
[ "43+6=49", "84-65=19", "49+19=68" ]
Current State: 68:[43, 6, 65, 84], Operations: [] Exploring Operation: 43+6=49, Resulting Numbers: [65, 84, 49] Generated Node #2: [65, 84, 49] from Operation: 43+6=49 Current State: 68:[65, 84, 49], Operations: ['43+6=49'] Exploring Operation: 84-65=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 84-65=19 Current State: 68:[49, 19], Operations: ['43+6=49', '84-65=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 60, 89, 62, 58 ]
91
[ "60*89=5340", "5340-62=5278", "5278/58=91" ]
Current State: 91:[60, 89, 62, 58], Operations: [] Exploring Operation: 60*89=5340, Resulting Numbers: [62, 58, 5340] Generated Node #2: [62, 58, 5340] from Operation: 60*89=5340 Current State: 91:[62, 58, 5340], Operations: ['60*89=5340'] Exploring Operation: 5340-62=5278, Resulting Numbers: [58, 5278] Generated Node #3: [58, 5278] from Operation: 5340-62=5278 Current State: 91:[58, 5278], Operations: ['60*89=5340', '5340-62=5278'] Exploring Operation: 5278/58=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 57, 75, 37, 39 ]
58
[ "75-57=18", "37+39=76", "76-18=58" ]
Current State: 58:[57, 75, 37, 39], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [37, 39, 18] Generated Node #2: [37, 39, 18] from Operation: 75-57=18 Current State: 58:[37, 39, 18], Operations: ['75-57=18'] Exploring Operation: 37+39=76, Resulting Numbers: [18, 76] Generated Node #3: [18, 76] from Operation: 37+39=76 Current State: 58:[18, 76], Operations: ['75-57=18', '37+39=76'] Exploring Operation: 76-18=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 19, 94, 45, 83 ]
47
[ "19*94=1786", "83-45=38", "1786/38=47" ]
Current State: 47:[19, 94, 45, 83], Operations: [] Exploring Operation: 19*94=1786, Resulting Numbers: [45, 83, 1786] Generated Node #2: [45, 83, 1786] from Operation: 19*94=1786 Current State: 47:[45, 83, 1786], Operations: ['19*94=1786'] Exploring Operation: 83-45=38, Resulting Numbers: [1786, 38] Generated Node #3: [1786, 38] from Operation: 83-45=38 Current State: 47:[1786, 38], Operations: ['19*94=1786', '83-45=38'] Exploring Operation: 1786/38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 68, 64, 85, 3 ]
27
[ "68-64=4", "85-4=81", "81/3=27" ]
Current State: 27:[68, 64, 85, 3], Operations: [] Exploring Operation: 68-64=4, Resulting Numbers: [85, 3, 4] Generated Node #2: [85, 3, 4] from Operation: 68-64=4 Current State: 27:[85, 3, 4], Operations: ['68-64=4'] Exploring Operation: 85-4=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 85-4=81 Current State: 27:[3, 81], Operations: ['68-64=4', '85-4=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 77, 52, 37 ]
64
[ "2+77=79", "52-37=15", "79-15=64" ]
Current State: 64:[2, 77, 52, 37], Operations: [] Exploring Operation: 2+77=79, Resulting Numbers: [52, 37, 79] Generated Node #2: [52, 37, 79] from Operation: 2+77=79 Current State: 64:[52, 37, 79], Operations: ['2+77=79'] Exploring Operation: 52-37=15, Resulting Numbers: [79, 15] Generated Node #3: [79, 15] from Operation: 52-37=15 Current State: 64:[79, 15], Operations: ['2+77=79', '52-37=15'] Exploring Operation: 79-15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 58, 37, 93 ]
46
[ "58+37=95", "95-93=2", "92/2=46" ]
Current State: 46:[92, 58, 37, 93], Operations: [] Exploring Operation: 58+37=95, Resulting Numbers: [92, 93, 95] Generated Node #2: [92, 93, 95] from Operation: 58+37=95 Current State: 46:[92, 93, 95], Operations: ['58+37=95'] Exploring Operation: 95-93=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 95-93=2 Current State: 46:[92, 2], Operations: ['58+37=95', '95-93=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 68, 95, 66, 19 ]
76
[ "68*95=6460", "66+19=85", "6460/85=76" ]
Current State: 76:[68, 95, 66, 19], Operations: [] Exploring Operation: 68*95=6460, Resulting Numbers: [66, 19, 6460] Generated Node #2: [66, 19, 6460] from Operation: 68*95=6460 Current State: 76:[66, 19, 6460], Operations: ['68*95=6460'] Exploring Operation: 66+19=85, Resulting Numbers: [6460, 85] Generated Node #3: [6460, 85] from Operation: 66+19=85 Current State: 76:[6460, 85], Operations: ['68*95=6460', '66+19=85'] Exploring Operation: 6460/85=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 74, 10, 54, 1 ]
11
[ "74-10=64", "54-1=53", "64-53=11" ]
Current State: 11:[74, 10, 54, 1], Operations: [] Exploring Operation: 74-10=64, Resulting Numbers: [54, 1, 64] Generated Node #2: [54, 1, 64] from Operation: 74-10=64 Current State: 11:[54, 1, 64], Operations: ['74-10=64'] Exploring Operation: 54-1=53, Resulting Numbers: [64, 53] Generated Node #3: [64, 53] from Operation: 54-1=53 Current State: 11:[64, 53], Operations: ['74-10=64', '54-1=53'] Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 1, 67, 59, 63 ]
55
[ "1*67=67", "59+63=122", "122-67=55" ]
Current State: 55:[1, 67, 59, 63], Operations: [] Exploring Operation: 1*67=67, Resulting Numbers: [59, 63, 67] Generated Node #2: [59, 63, 67] from Operation: 1*67=67 Current State: 55:[59, 63, 67], Operations: ['1*67=67'] Exploring Operation: 59+63=122, Resulting Numbers: [67, 122] Generated Node #3: [67, 122] from Operation: 59+63=122 Current State: 55:[67, 122], Operations: ['1*67=67', '59+63=122'] Exploring Operation: 122-67=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 28, 85, 59, 17 ]
19
[ "85-28=57", "59+17=76", "76-57=19" ]
Current State: 19:[28, 85, 59, 17], Operations: [] Exploring Operation: 85-28=57, Resulting Numbers: [59, 17, 57] Generated Node #2: [59, 17, 57] from Operation: 85-28=57 Current State: 19:[59, 17, 57], Operations: ['85-28=57'] Exploring Operation: 59+17=76, Resulting Numbers: [57, 76] Generated Node #3: [57, 76] from Operation: 59+17=76 Current State: 19:[57, 76], Operations: ['85-28=57', '59+17=76'] Exploring Operation: 76-57=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 33, 57, 54, 63 ]
19
[ "54-33=21", "57*21=1197", "1197/63=19" ]
Current State: 19:[33, 57, 54, 63], Operations: [] Exploring Operation: 54-33=21, Resulting Numbers: [57, 63, 21] Generated Node #2: [57, 63, 21] from Operation: 54-33=21 Current State: 19:[57, 63, 21], Operations: ['54-33=21'] Exploring Operation: 57*21=1197, Resulting Numbers: [63, 1197] Generated Node #3: [63, 1197] from Operation: 57*21=1197 Current State: 19:[63, 1197], Operations: ['54-33=21', '57*21=1197'] Exploring Operation: 1197/63=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 57, 45, 51 ]
38
[ "76*51=3876", "57+45=102", "3876/102=38" ]
Current State: 38:[76, 57, 45, 51], Operations: [] Exploring Operation: 76*51=3876, Resulting Numbers: [57, 45, 3876] Generated Node #2: [57, 45, 3876] from Operation: 76*51=3876 Current State: 38:[57, 45, 3876], Operations: ['76*51=3876'] Exploring Operation: 57+45=102, Resulting Numbers: [3876, 102] Generated Node #3: [3876, 102] from Operation: 57+45=102 Current State: 38:[3876, 102], Operations: ['76*51=3876', '57+45=102'] Exploring Operation: 3876/102=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 88, 11, 93, 3 ]
58
[ "93-88=5", "11*5=55", "3+55=58" ]
Current State: 58:[88, 11, 93, 3], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [11, 3, 5] Generated Node #2: [11, 3, 5] from Operation: 93-88=5 Current State: 58:[11, 3, 5], Operations: ['93-88=5'] Exploring Operation: 11*5=55, Resulting Numbers: [3, 55] Generated Node #3: [3, 55] from Operation: 11*5=55 Current State: 58:[3, 55], Operations: ['93-88=5', '11*5=55'] Exploring Operation: 3+55=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 2, 51, 30, 80 ]
52
[ "2*51=102", "80-30=50", "102-50=52" ]
Current State: 52:[2, 51, 30, 80], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [30, 80, 102] Generated Node #2: [30, 80, 102] from Operation: 2*51=102 Current State: 52:[30, 80, 102], Operations: ['2*51=102'] Exploring Operation: 80-30=50, Resulting Numbers: [102, 50] Generated Node #3: [102, 50] from Operation: 80-30=50 Current State: 52:[102, 50], Operations: ['2*51=102', '80-30=50'] Exploring Operation: 102-50=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 94, 31, 11, 11 ]
64
[ "94-31=63", "11/11=1", "63+1=64" ]
Current State: 64:[94, 31, 11, 11], Operations: [] Exploring Operation: 94-31=63, Resulting Numbers: [11, 11, 63] Generated Node #2: [11, 11, 63] from Operation: 94-31=63 Current State: 64:[11, 11, 63], Operations: ['94-31=63'] Exploring Operation: 11/11=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 11/11=1 Current State: 64:[63, 1], Operations: ['94-31=63', '11/11=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 14, 46, 63, 64 ]
65
[ "46-14=32", "64/32=2", "63+2=65" ]
Current State: 65:[14, 46, 63, 64], Operations: [] Exploring Operation: 46-14=32, Resulting Numbers: [63, 64, 32] Generated Node #2: [63, 64, 32] from Operation: 46-14=32 Current State: 65:[63, 64, 32], Operations: ['46-14=32'] Exploring Operation: 64/32=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 64/32=2 Current State: 65:[63, 2], Operations: ['46-14=32', '64/32=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 80, 10, 76, 58 ]
64
[ "80-10=70", "76+58=134", "134-70=64" ]
Current State: 64:[80, 10, 76, 58], Operations: [] Exploring Operation: 80-10=70, Resulting Numbers: [76, 58, 70] Generated Node #2: [76, 58, 70] from Operation: 80-10=70 Current State: 64:[76, 58, 70], Operations: ['80-10=70'] Exploring Operation: 76+58=134, Resulting Numbers: [70, 134] Generated Node #3: [70, 134] from Operation: 76+58=134 Current State: 64:[70, 134], Operations: ['80-10=70', '76+58=134'] Exploring Operation: 134-70=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 18, 7, 9, 39 ]
25
[ "18*7=126", "126/9=14", "39-14=25" ]
Current State: 25:[18, 7, 9, 39], Operations: [] Exploring Operation: 18*7=126, Resulting Numbers: [9, 39, 126] Generated Node #2: [9, 39, 126] from Operation: 18*7=126 Current State: 25:[9, 39, 126], Operations: ['18*7=126'] Exploring Operation: 126/9=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 126/9=14 Current State: 25:[39, 14], Operations: ['18*7=126', '126/9=14'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 76, 96, 60, 42 ]
38
[ "96-76=20", "60-42=18", "20+18=38" ]
Current State: 38:[76, 96, 60, 42], Operations: [] Exploring Operation: 96-76=20, Resulting Numbers: [60, 42, 20] Generated Node #2: [60, 42, 20] from Operation: 96-76=20 Current State: 38:[60, 42, 20], Operations: ['96-76=20'] Exploring Operation: 60-42=18, Resulting Numbers: [20, 18] Generated Node #3: [20, 18] from Operation: 60-42=18 Current State: 38:[20, 18], Operations: ['96-76=20', '60-42=18'] Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 38, 11, 4, 75 ]
88
[ "38*4=152", "75-11=64", "152-64=88" ]
Current State: 88:[38, 11, 4, 75], Operations: [] Exploring Operation: 38*4=152, Resulting Numbers: [11, 75, 152] Generated Node #2: [11, 75, 152] from Operation: 38*4=152 Current State: 88:[11, 75, 152], Operations: ['38*4=152'] Exploring Operation: 75-11=64, Resulting Numbers: [152, 64] Generated Node #3: [152, 64] from Operation: 75-11=64 Current State: 88:[152, 64], Operations: ['38*4=152', '75-11=64'] Exploring Operation: 152-64=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 44, 73, 44, 26 ]
100
[ "44/44=1", "73+26=99", "1+99=100" ]
Current State: 100:[44, 73, 44, 26], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [73, 26, 1] Generated Node #2: [73, 26, 1] from Operation: 44/44=1 Current State: 100:[73, 26, 1], Operations: ['44/44=1'] Exploring Operation: 73+26=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 73+26=99 Current State: 100:[1, 99], Operations: ['44/44=1', '73+26=99'] Exploring Operation: 1+99=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 91, 45, 74, 2 ]
73
[ "91-74=17", "45*2=90", "90-17=73" ]
Current State: 73:[91, 45, 74, 2], Operations: [] Exploring Operation: 91-74=17, Resulting Numbers: [45, 2, 17] Generated Node #2: [45, 2, 17] from Operation: 91-74=17 Current State: 73:[45, 2, 17], Operations: ['91-74=17'] Exploring Operation: 45*2=90, Resulting Numbers: [17, 90] Generated Node #3: [17, 90] from Operation: 45*2=90 Current State: 73:[17, 90], Operations: ['91-74=17', '45*2=90'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 30, 21, 69, 23 ]
84
[ "23-21=2", "30/2=15", "69+15=84" ]
Current State: 84:[30, 21, 69, 23], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [30, 69, 2] Generated Node #2: [30, 69, 2] from Operation: 23-21=2 Current State: 84:[30, 69, 2], Operations: ['23-21=2'] Exploring Operation: 30/2=15, Resulting Numbers: [69, 15] Generated Node #3: [69, 15] from Operation: 30/2=15 Current State: 84:[69, 15], Operations: ['23-21=2', '30/2=15'] Exploring Operation: 69+15=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 69, 46, 38 ]
76
[ "69*38=2622", "2622/46=57", "19+57=76" ]
Current State: 76:[19, 69, 46, 38], Operations: [] Exploring Operation: 69*38=2622, Resulting Numbers: [19, 46, 2622] Generated Node #2: [19, 46, 2622] from Operation: 69*38=2622 Current State: 76:[19, 46, 2622], Operations: ['69*38=2622'] Exploring Operation: 2622/46=57, Resulting Numbers: [19, 57] Generated Node #3: [19, 57] from Operation: 2622/46=57 Current State: 76:[19, 57], Operations: ['69*38=2622', '2622/46=57'] Exploring Operation: 19+57=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 61, 40, 1 ]
70
[ "61-31=30", "40*1=40", "30+40=70" ]
Current State: 70:[31, 61, 40, 1], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [40, 1, 30] Generated Node #2: [40, 1, 30] from Operation: 61-31=30 Current State: 70:[40, 1, 30], Operations: ['61-31=30'] Exploring Operation: 40*1=40, Resulting Numbers: [30, 40] Generated Node #3: [30, 40] from Operation: 40*1=40 Current State: 70:[30, 40], Operations: ['61-31=30', '40*1=40'] Exploring Operation: 30+40=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 71, 29, 56, 71 ]
85
[ "71+29=100", "71-56=15", "100-15=85" ]
Current State: 85:[71, 29, 56, 71], Operations: [] Exploring Operation: 71+29=100, Resulting Numbers: [56, 100] Generated Node #2: [56, 100] from Operation: 71+29=100 Current State: 85:[56, 100], Operations: ['71+29=100'] Exploring Operation: 71-56=15, Resulting Numbers: [100, 15] Generated Node #3: [100, 15] from Operation: 71-56=15 Current State: 85:[100, 15], Operations: ['71+29=100', '71-56=15'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 63, 72, 31, 18 ]
90
[ "63+31=94", "72/18=4", "94-4=90" ]
Current State: 90:[63, 72, 31, 18], Operations: [] Exploring Operation: 63+31=94, Resulting Numbers: [72, 18, 94] Generated Node #2: [72, 18, 94] from Operation: 63+31=94 Current State: 90:[72, 18, 94], Operations: ['63+31=94'] Exploring Operation: 72/18=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 72/18=4 Current State: 90:[94, 4], Operations: ['63+31=94', '72/18=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 79, 84, 12, 1 ]
59
[ "84-79=5", "12*5=60", "60-1=59" ]
Current State: 59:[79, 84, 12, 1], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [12, 1, 5] Generated Node #2: [12, 1, 5] from Operation: 84-79=5 Current State: 59:[12, 1, 5], Operations: ['84-79=5'] Exploring Operation: 12*5=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 12*5=60 Current State: 59:[1, 60], Operations: ['84-79=5', '12*5=60'] Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 98, 4, 91, 14 ]
52
[ "98/14=7", "4*91=364", "364/7=52" ]
Current State: 52:[98, 4, 91, 14], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [4, 91, 7] Generated Node #2: [4, 91, 7] from Operation: 98/14=7 Current State: 52:[4, 91, 7], Operations: ['98/14=7'] Exploring Operation: 4*91=364, Resulting Numbers: [7, 364] Generated Node #3: [7, 364] from Operation: 4*91=364 Current State: 52:[7, 364], Operations: ['98/14=7', '4*91=364'] Exploring Operation: 364/7=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 12, 20, 87 ]
73
[ "46-12=34", "20+87=107", "107-34=73" ]
Current State: 73:[46, 12, 20, 87], Operations: [] Exploring Operation: 46-12=34, Resulting Numbers: [20, 87, 34] Generated Node #2: [20, 87, 34] from Operation: 46-12=34 Current State: 73:[20, 87, 34], Operations: ['46-12=34'] Exploring Operation: 20+87=107, Resulting Numbers: [34, 107] Generated Node #3: [34, 107] from Operation: 20+87=107 Current State: 73:[34, 107], Operations: ['46-12=34', '20+87=107'] Exploring Operation: 107-34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 94, 37, 37, 36 ]
56
[ "94-37=57", "37-36=1", "57-1=56" ]
Current State: 56:[94, 37, 37, 36], Operations: [] Exploring Operation: 94-37=57, Resulting Numbers: [36, 57] Generated Node #2: [36, 57] from Operation: 94-37=57 Current State: 56:[36, 57], Operations: ['94-37=57'] Exploring Operation: 37-36=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 37-36=1 Current State: 56:[57, 1], Operations: ['94-37=57', '37-36=1'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 29, 6, 22, 10 ]
94
[ "10-6=4", "29*4=116", "116-22=94" ]
Current State: 94:[29, 6, 22, 10], Operations: [] Exploring Operation: 10-6=4, Resulting Numbers: [29, 22, 4] Generated Node #2: [29, 22, 4] from Operation: 10-6=4 Current State: 94:[29, 22, 4], Operations: ['10-6=4'] Exploring Operation: 29*4=116, Resulting Numbers: [22, 116] Generated Node #3: [22, 116] from Operation: 29*4=116 Current State: 94:[22, 116], Operations: ['10-6=4', '29*4=116'] Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 27, 8, 4, 67 ]
44
[ "27-8=19", "67-4=63", "63-19=44" ]
Current State: 44:[27, 8, 4, 67], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [4, 67, 19] Generated Node #2: [4, 67, 19] from Operation: 27-8=19 Current State: 44:[4, 67, 19], Operations: ['27-8=19'] Exploring Operation: 67-4=63, Resulting Numbers: [19, 63] Generated Node #3: [19, 63] from Operation: 67-4=63 Current State: 44:[19, 63], Operations: ['27-8=19', '67-4=63'] Exploring Operation: 63-19=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 42, 36, 16 ]
15
[ "42-6=36", "36/36=1", "16-1=15" ]
Current State: 15:[6, 42, 36, 16], Operations: [] Exploring Operation: 42-6=36, Resulting Numbers: [36, 16, 36] Generated Node #2: [36, 16, 36] from Operation: 42-6=36 Current State: 15:[36, 16, 36], Operations: ['42-6=36'] Exploring Operation: 36/36=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 36/36=1 Current State: 15:[16, 1], Operations: ['42-6=36', '36/36=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 61, 94, 21 ]
71
[ "4*21=84", "61+94=155", "155-84=71" ]
Current State: 71:[4, 61, 94, 21], Operations: [] Exploring Operation: 4*21=84, Resulting Numbers: [61, 94, 84] Generated Node #2: [61, 94, 84] from Operation: 4*21=84 Current State: 71:[61, 94, 84], Operations: ['4*21=84'] Exploring Operation: 61+94=155, Resulting Numbers: [84, 155] Generated Node #3: [84, 155] from Operation: 61+94=155 Current State: 71:[84, 155], Operations: ['4*21=84', '61+94=155'] Exploring Operation: 155-84=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 16, 74, 54, 85 ]
81
[ "74-16=58", "54+85=139", "139-58=81" ]
Current State: 81:[16, 74, 54, 85], Operations: [] Exploring Operation: 74-16=58, Resulting Numbers: [54, 85, 58] Generated Node #2: [54, 85, 58] from Operation: 74-16=58 Current State: 81:[54, 85, 58], Operations: ['74-16=58'] Exploring Operation: 54+85=139, Resulting Numbers: [58, 139] Generated Node #3: [58, 139] from Operation: 54+85=139 Current State: 81:[58, 139], Operations: ['74-16=58', '54+85=139'] Exploring Operation: 139-58=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 25, 17, 85, 76 ]
46
[ "76-25=51", "85/17=5", "51-5=46" ]
Current State: 46:[25, 17, 85, 76], Operations: [] Exploring Operation: 76-25=51, Resulting Numbers: [17, 85, 51] Generated Node #2: [17, 85, 51] from Operation: 76-25=51 Current State: 46:[17, 85, 51], Operations: ['76-25=51'] Exploring Operation: 85/17=5, Resulting Numbers: [51, 5] Generated Node #3: [51, 5] from Operation: 85/17=5 Current State: 46:[51, 5], Operations: ['76-25=51', '85/17=5'] Exploring Operation: 51-5=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 16, 67, 41 ]
90
[ "67-16=51", "51-41=10", "9*10=90" ]
Current State: 90:[9, 16, 67, 41], Operations: [] Exploring Operation: 67-16=51, Resulting Numbers: [9, 41, 51] Generated Node #2: [9, 41, 51] from Operation: 67-16=51 Current State: 90:[9, 41, 51], Operations: ['67-16=51'] Exploring Operation: 51-41=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 51-41=10 Current State: 90:[9, 10], Operations: ['67-16=51', '51-41=10'] Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 21, 88, 70, 65 ]
62
[ "88-21=67", "70-65=5", "67-5=62" ]
Current State: 62:[21, 88, 70, 65], Operations: [] Exploring Operation: 88-21=67, Resulting Numbers: [70, 65, 67] Generated Node #2: [70, 65, 67] from Operation: 88-21=67 Current State: 62:[70, 65, 67], Operations: ['88-21=67'] Exploring Operation: 70-65=5, Resulting Numbers: [67, 5] Generated Node #3: [67, 5] from Operation: 70-65=5 Current State: 62:[67, 5], Operations: ['88-21=67', '70-65=5'] Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 79, 45, 49, 40 ]
74
[ "49-40=9", "45/9=5", "79-5=74" ]
Current State: 74:[79, 45, 49, 40], Operations: [] Exploring Operation: 49-40=9, Resulting Numbers: [79, 45, 9] Generated Node #2: [79, 45, 9] from Operation: 49-40=9 Current State: 74:[79, 45, 9], Operations: ['49-40=9'] Exploring Operation: 45/9=5, Resulting Numbers: [79, 5] Generated Node #3: [79, 5] from Operation: 45/9=5 Current State: 74:[79, 5], Operations: ['49-40=9', '45/9=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 88, 23, 69, 81 ]
99
[ "88+23=111", "81-69=12", "111-12=99" ]
Current State: 99:[88, 23, 69, 81], Operations: [] Exploring Operation: 88+23=111, Resulting Numbers: [69, 81, 111] Generated Node #2: [69, 81, 111] from Operation: 88+23=111 Current State: 99:[69, 81, 111], Operations: ['88+23=111'] Exploring Operation: 81-69=12, Resulting Numbers: [111, 12] Generated Node #3: [111, 12] from Operation: 81-69=12 Current State: 99:[111, 12], Operations: ['88+23=111', '81-69=12'] Exploring Operation: 111-12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 57, 78, 65 ]
80
[ "49+65=114", "114/57=2", "78+2=80" ]
Current State: 80:[49, 57, 78, 65], Operations: [] Exploring Operation: 49+65=114, Resulting Numbers: [57, 78, 114] Generated Node #2: [57, 78, 114] from Operation: 49+65=114 Current State: 80:[57, 78, 114], Operations: ['49+65=114'] Exploring Operation: 114/57=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 114/57=2 Current State: 80:[78, 2], Operations: ['49+65=114', '114/57=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 8, 49, 30, 99 ]
88
[ "49-8=41", "30+99=129", "129-41=88" ]
Current State: 88:[8, 49, 30, 99], Operations: [] Exploring Operation: 49-8=41, Resulting Numbers: [30, 99, 41] Generated Node #2: [30, 99, 41] from Operation: 49-8=41 Current State: 88:[30, 99, 41], Operations: ['49-8=41'] Exploring Operation: 30+99=129, Resulting Numbers: [41, 129] Generated Node #3: [41, 129] from Operation: 30+99=129 Current State: 88:[41, 129], Operations: ['49-8=41', '30+99=129'] Exploring Operation: 129-41=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 57, 61, 8 ]
71
[ "23+57=80", "80/8=10", "61+10=71" ]
Current State: 71:[23, 57, 61, 8], Operations: [] Exploring Operation: 23+57=80, Resulting Numbers: [61, 8, 80] Generated Node #2: [61, 8, 80] from Operation: 23+57=80 Current State: 71:[61, 8, 80], Operations: ['23+57=80'] Exploring Operation: 80/8=10, Resulting Numbers: [61, 10] Generated Node #3: [61, 10] from Operation: 80/8=10 Current State: 71:[61, 10], Operations: ['23+57=80', '80/8=10'] Exploring Operation: 61+10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 37, 69, 97, 14 ]
79
[ "69-37=32", "97+14=111", "111-32=79" ]
Current State: 79:[37, 69, 97, 14], Operations: [] Exploring Operation: 69-37=32, Resulting Numbers: [97, 14, 32] Generated Node #2: [97, 14, 32] from Operation: 69-37=32 Current State: 79:[97, 14, 32], Operations: ['69-37=32'] Exploring Operation: 97+14=111, Resulting Numbers: [32, 111] Generated Node #3: [32, 111] from Operation: 97+14=111 Current State: 79:[32, 111], Operations: ['69-37=32', '97+14=111'] Exploring Operation: 111-32=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 86, 67, 73, 50 ]
30
[ "86+67=153", "73+50=123", "153-123=30" ]
Current State: 30:[86, 67, 73, 50], Operations: [] Exploring Operation: 86+67=153, Resulting Numbers: [73, 50, 153] Generated Node #2: [73, 50, 153] from Operation: 86+67=153 Current State: 30:[73, 50, 153], Operations: ['86+67=153'] Exploring Operation: 73+50=123, Resulting Numbers: [153, 123] Generated Node #3: [153, 123] from Operation: 73+50=123 Current State: 30:[153, 123], Operations: ['86+67=153', '73+50=123'] Exploring Operation: 153-123=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 3, 79, 22 ]
31
[ "2+3=5", "22*5=110", "110-79=31" ]
Current State: 31:[2, 3, 79, 22], Operations: [] Exploring Operation: 2+3=5, Resulting Numbers: [79, 22, 5] Generated Node #2: [79, 22, 5] from Operation: 2+3=5 Current State: 31:[79, 22, 5], Operations: ['2+3=5'] Exploring Operation: 22*5=110, Resulting Numbers: [79, 110] Generated Node #3: [79, 110] from Operation: 22*5=110 Current State: 31:[79, 110], Operations: ['2+3=5', '22*5=110'] Exploring Operation: 110-79=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 92, 96, 62, 20 ]
67
[ "96-92=4", "20/4=5", "62+5=67" ]
Current State: 67:[92, 96, 62, 20], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [62, 20, 4] Generated Node #2: [62, 20, 4] from Operation: 96-92=4 Current State: 67:[62, 20, 4], Operations: ['96-92=4'] Exploring Operation: 20/4=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 20/4=5 Current State: 67:[62, 5], Operations: ['96-92=4', '20/4=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 69, 22, 4, 55 ]
98
[ "69-22=47", "55-4=51", "47+51=98" ]
Current State: 98:[69, 22, 4, 55], Operations: [] Exploring Operation: 69-22=47, Resulting Numbers: [4, 55, 47] Generated Node #2: [4, 55, 47] from Operation: 69-22=47 Current State: 98:[4, 55, 47], Operations: ['69-22=47'] Exploring Operation: 55-4=51, Resulting Numbers: [47, 51] Generated Node #3: [47, 51] from Operation: 55-4=51 Current State: 98:[47, 51], Operations: ['69-22=47', '55-4=51'] Exploring Operation: 47+51=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 3, 30, 31 ]
26
[ "75/3=25", "31-30=1", "25+1=26" ]
Current State: 26:[75, 3, 30, 31], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [30, 31, 25] Generated Node #2: [30, 31, 25] from Operation: 75/3=25 Current State: 26:[30, 31, 25], Operations: ['75/3=25'] Exploring Operation: 31-30=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 31-30=1 Current State: 26:[25, 1], Operations: ['75/3=25', '31-30=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 50, 75, 63 ]
19
[ "69+50=119", "75+63=138", "138-119=19" ]
Current State: 19:[69, 50, 75, 63], Operations: [] Exploring Operation: 69+50=119, Resulting Numbers: [75, 63, 119] Generated Node #2: [75, 63, 119] from Operation: 69+50=119 Current State: 19:[75, 63, 119], Operations: ['69+50=119'] Exploring Operation: 75+63=138, Resulting Numbers: [119, 138] Generated Node #3: [119, 138] from Operation: 75+63=138 Current State: 19:[119, 138], Operations: ['69+50=119', '75+63=138'] Exploring Operation: 138-119=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 11, 84, 17 ]
23
[ "54+84=138", "17-11=6", "138/6=23" ]
Current State: 23:[54, 11, 84, 17], Operations: [] Exploring Operation: 54+84=138, Resulting Numbers: [11, 17, 138] Generated Node #2: [11, 17, 138] from Operation: 54+84=138 Current State: 23:[11, 17, 138], Operations: ['54+84=138'] Exploring Operation: 17-11=6, Resulting Numbers: [138, 6] Generated Node #3: [138, 6] from Operation: 17-11=6 Current State: 23:[138, 6], Operations: ['54+84=138', '17-11=6'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 78, 3, 92, 87 ]
31
[ "78/3=26", "92-87=5", "26+5=31" ]
Current State: 31:[78, 3, 92, 87], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [92, 87, 26] Generated Node #2: [92, 87, 26] from Operation: 78/3=26 Current State: 31:[92, 87, 26], Operations: ['78/3=26'] Exploring Operation: 92-87=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 92-87=5 Current State: 31:[26, 5], Operations: ['78/3=26', '92-87=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 63, 13, 60 ]
54
[ "63+60=123", "123/3=41", "13+41=54" ]
Current State: 54:[3, 63, 13, 60], Operations: [] Exploring Operation: 63+60=123, Resulting Numbers: [3, 13, 123] Generated Node #2: [3, 13, 123] from Operation: 63+60=123 Current State: 54:[3, 13, 123], Operations: ['63+60=123'] Exploring Operation: 123/3=41, Resulting Numbers: [13, 41] Generated Node #3: [13, 41] from Operation: 123/3=41 Current State: 54:[13, 41], Operations: ['63+60=123', '123/3=41'] Exploring Operation: 13+41=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 40, 43, 35 ]
44
[ "43-40=3", "35*3=105", "105-61=44" ]
Current State: 44:[61, 40, 43, 35], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [61, 35, 3] Generated Node #2: [61, 35, 3] from Operation: 43-40=3 Current State: 44:[61, 35, 3], Operations: ['43-40=3'] Exploring Operation: 35*3=105, Resulting Numbers: [61, 105] Generated Node #3: [61, 105] from Operation: 35*3=105 Current State: 44:[61, 105], Operations: ['43-40=3', '35*3=105'] Exploring Operation: 105-61=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 48, 14, 70, 74 ]
17
[ "70+74=144", "144/48=3", "14+3=17" ]
Current State: 17:[48, 14, 70, 74], Operations: [] Exploring Operation: 70+74=144, Resulting Numbers: [48, 14, 144] Generated Node #2: [48, 14, 144] from Operation: 70+74=144 Current State: 17:[48, 14, 144], Operations: ['70+74=144'] Exploring Operation: 144/48=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 144/48=3 Current State: 17:[14, 3], Operations: ['70+74=144', '144/48=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 87, 12, 50, 99 ]
51
[ "87+12=99", "99/99=1", "50+1=51" ]
Current State: 51:[87, 12, 50, 99], Operations: [] Exploring Operation: 87+12=99, Resulting Numbers: [50, 99, 99] Generated Node #2: [50, 99, 99] from Operation: 87+12=99 Current State: 51:[50, 99, 99], Operations: ['87+12=99'] Exploring Operation: 99/99=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 99/99=1 Current State: 51:[50, 1], Operations: ['87+12=99', '99/99=1'] Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 26, 59, 33, 15 ]
37
[ "26+59=85", "33+15=48", "85-48=37" ]
Current State: 37:[26, 59, 33, 15], Operations: [] Exploring Operation: 26+59=85, Resulting Numbers: [33, 15, 85] Generated Node #2: [33, 15, 85] from Operation: 26+59=85 Current State: 37:[33, 15, 85], Operations: ['26+59=85'] Exploring Operation: 33+15=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 33+15=48 Current State: 37:[85, 48], Operations: ['26+59=85', '33+15=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 10, 83, 92, 78 ]
46
[ "83-78=5", "10/5=2", "92/2=46" ]
Current State: 46:[10, 83, 92, 78], Operations: [] Exploring Operation: 83-78=5, Resulting Numbers: [10, 92, 5] Generated Node #2: [10, 92, 5] from Operation: 83-78=5 Current State: 46:[10, 92, 5], Operations: ['83-78=5'] Exploring Operation: 10/5=2, Resulting Numbers: [92, 2] Generated Node #3: [92, 2] from Operation: 10/5=2 Current State: 46:[92, 2], Operations: ['83-78=5', '10/5=2'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 54, 71, 65, 21 ]
81
[ "54+71=125", "65-21=44", "125-44=81" ]
Current State: 81:[54, 71, 65, 21], Operations: [] Exploring Operation: 54+71=125, Resulting Numbers: [65, 21, 125] Generated Node #2: [65, 21, 125] from Operation: 54+71=125 Current State: 81:[65, 21, 125], Operations: ['54+71=125'] Exploring Operation: 65-21=44, Resulting Numbers: [125, 44] Generated Node #3: [125, 44] from Operation: 65-21=44 Current State: 81:[125, 44], Operations: ['54+71=125', '65-21=44'] Exploring Operation: 125-44=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 4, 26, 91 ]
13
[ "56-4=52", "91-26=65", "65-52=13" ]
Current State: 13:[56, 4, 26, 91], Operations: [] Exploring Operation: 56-4=52, Resulting Numbers: [26, 91, 52] Generated Node #2: [26, 91, 52] from Operation: 56-4=52 Current State: 13:[26, 91, 52], Operations: ['56-4=52'] Exploring Operation: 91-26=65, Resulting Numbers: [52, 65] Generated Node #3: [52, 65] from Operation: 91-26=65 Current State: 13:[52, 65], Operations: ['56-4=52', '91-26=65'] Exploring Operation: 65-52=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 62, 27, 94, 2 ]
51
[ "62+94=156", "156/2=78", "78-27=51" ]
Current State: 51:[62, 27, 94, 2], Operations: [] Exploring Operation: 62+94=156, Resulting Numbers: [27, 2, 156] Generated Node #2: [27, 2, 156] from Operation: 62+94=156 Current State: 51:[27, 2, 156], Operations: ['62+94=156'] Exploring Operation: 156/2=78, Resulting Numbers: [27, 78] Generated Node #3: [27, 78] from Operation: 156/2=78 Current State: 51:[27, 78], Operations: ['62+94=156', '156/2=78'] Exploring Operation: 78-27=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 68, 57, 60, 80 ]
36
[ "80-68=12", "60-57=3", "12*3=36" ]
Current State: 36:[68, 57, 60, 80], Operations: [] Exploring Operation: 80-68=12, Resulting Numbers: [57, 60, 12] Generated Node #2: [57, 60, 12] from Operation: 80-68=12 Current State: 36:[57, 60, 12], Operations: ['80-68=12'] Exploring Operation: 60-57=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 60-57=3 Current State: 36:[12, 3], Operations: ['80-68=12', '60-57=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 46, 21, 49, 21 ]
49
[ "21-21=0", "46*0=0", "49+0=49" ]
Current State: 49:[46, 21, 49, 21], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [46, 49, 0] Generated Node #2: [46, 49, 0] from Operation: 21-21=0 Current State: 49:[46, 49, 0], Operations: ['21-21=0'] Exploring Operation: 46*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 46*0=0 Current State: 49:[49, 0], Operations: ['21-21=0', '46*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 55, 14, 3 ]
61
[ "34*3=102", "55-14=41", "102-41=61" ]
Current State: 61:[34, 55, 14, 3], Operations: [] Exploring Operation: 34*3=102, Resulting Numbers: [55, 14, 102] Generated Node #2: [55, 14, 102] from Operation: 34*3=102 Current State: 61:[55, 14, 102], Operations: ['34*3=102'] Exploring Operation: 55-14=41, Resulting Numbers: [102, 41] Generated Node #3: [102, 41] from Operation: 55-14=41 Current State: 61:[102, 41], Operations: ['34*3=102', '55-14=41'] Exploring Operation: 102-41=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 68, 70, 25, 64 ]
41
[ "70-68=2", "64-25=39", "2+39=41" ]
Current State: 41:[68, 70, 25, 64], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [25, 64, 2] Generated Node #2: [25, 64, 2] from Operation: 70-68=2 Current State: 41:[25, 64, 2], Operations: ['70-68=2'] Exploring Operation: 64-25=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 64-25=39 Current State: 41:[2, 39], Operations: ['70-68=2', '64-25=39'] Exploring Operation: 2+39=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 50, 50, 7, 35 ]
95
[ "50+50=100", "35/7=5", "100-5=95" ]
Current State: 95:[50, 50, 7, 35], Operations: [] Exploring Operation: 50+50=100, Resulting Numbers: [7, 35, 100] Generated Node #2: [7, 35, 100] from Operation: 50+50=100 Current State: 95:[7, 35, 100], Operations: ['50+50=100'] Exploring Operation: 35/7=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 35/7=5 Current State: 95:[100, 5], Operations: ['50+50=100', '35/7=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 73, 48, 74, 69 ]
20
[ "73-48=25", "74-69=5", "25-5=20" ]
Current State: 20:[73, 48, 74, 69], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [74, 69, 25] Generated Node #2: [74, 69, 25] from Operation: 73-48=25 Current State: 20:[74, 69, 25], Operations: ['73-48=25'] Exploring Operation: 74-69=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 74-69=5 Current State: 20:[25, 5], Operations: ['73-48=25', '74-69=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 13, 61, 23 ]
39
[ "90-13=77", "61-23=38", "77-38=39" ]
Current State: 39:[90, 13, 61, 23], Operations: [] Exploring Operation: 90-13=77, Resulting Numbers: [61, 23, 77] Generated Node #2: [61, 23, 77] from Operation: 90-13=77 Current State: 39:[61, 23, 77], Operations: ['90-13=77'] Exploring Operation: 61-23=38, Resulting Numbers: [77, 38] Generated Node #3: [77, 38] from Operation: 61-23=38 Current State: 39:[77, 38], Operations: ['90-13=77', '61-23=38'] Exploring Operation: 77-38=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 44, 6, 11 ]
52
[ "7+6=13", "44/11=4", "13*4=52" ]
Current State: 52:[7, 44, 6, 11], Operations: [] Exploring Operation: 7+6=13, Resulting Numbers: [44, 11, 13] Generated Node #2: [44, 11, 13] from Operation: 7+6=13 Current State: 52:[44, 11, 13], Operations: ['7+6=13'] Exploring Operation: 44/11=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 44/11=4 Current State: 52:[13, 4], Operations: ['7+6=13', '44/11=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 71, 11, 76 ]
66
[ "72-71=1", "76-11=65", "1+65=66" ]
Current State: 66:[72, 71, 11, 76], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [11, 76, 1] Generated Node #2: [11, 76, 1] from Operation: 72-71=1 Current State: 66:[11, 76, 1], Operations: ['72-71=1'] Exploring Operation: 76-11=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 76-11=65 Current State: 66:[1, 65], Operations: ['72-71=1', '76-11=65'] Exploring Operation: 1+65=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 65, 28, 6, 2 ]
49
[ "65-28=37", "6*2=12", "37+12=49" ]
Current State: 49:[65, 28, 6, 2], Operations: [] Exploring Operation: 65-28=37, Resulting Numbers: [6, 2, 37] Generated Node #2: [6, 2, 37] from Operation: 65-28=37 Current State: 49:[6, 2, 37], Operations: ['65-28=37'] Exploring Operation: 6*2=12, Resulting Numbers: [37, 12] Generated Node #3: [37, 12] from Operation: 6*2=12 Current State: 49:[37, 12], Operations: ['65-28=37', '6*2=12'] Exploring Operation: 37+12=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 13, 26, 24, 15 ]
37
[ "26/13=2", "24+15=39", "39-2=37" ]
Current State: 37:[13, 26, 24, 15], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [24, 15, 2] Generated Node #2: [24, 15, 2] from Operation: 26/13=2 Current State: 37:[24, 15, 2], Operations: ['26/13=2'] Exploring Operation: 24+15=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 24+15=39 Current State: 37:[2, 39], Operations: ['26/13=2', '24+15=39'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 54, 15, 11, 67 ]
52
[ "67-54=13", "15-11=4", "13*4=52" ]
Current State: 52:[54, 15, 11, 67], Operations: [] Exploring Operation: 67-54=13, Resulting Numbers: [15, 11, 13] Generated Node #2: [15, 11, 13] from Operation: 67-54=13 Current State: 52:[15, 11, 13], Operations: ['67-54=13'] Exploring Operation: 15-11=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 15-11=4 Current State: 52:[13, 4], Operations: ['67-54=13', '15-11=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 34, 37, 42, 37 ]
51
[ "37-34=3", "42/3=14", "37+14=51" ]
Current State: 51:[34, 37, 42, 37], Operations: [] Exploring Operation: 37-34=3, Resulting Numbers: [42, 3] Generated Node #2: [42, 3] from Operation: 37-34=3 Current State: 51:[42, 3], Operations: ['37-34=3'] Exploring Operation: 42/3=14, Resulting Numbers: [14] 14,51 equal: Goal Reached Exploring Operation: 37+14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 98, 68, 5, 36 ]
14
[ "98+68=166", "5*36=180", "180-166=14" ]
Current State: 14:[98, 68, 5, 36], Operations: [] Exploring Operation: 98+68=166, Resulting Numbers: [5, 36, 166] Generated Node #2: [5, 36, 166] from Operation: 98+68=166 Current State: 14:[5, 36, 166], Operations: ['98+68=166'] Exploring Operation: 5*36=180, Resulting Numbers: [166, 180] Generated Node #3: [166, 180] from Operation: 5*36=180 Current State: 14:[166, 180], Operations: ['98+68=166', '5*36=180'] Exploring Operation: 180-166=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 5, 58, 93, 90 ]
66
[ "5+58=63", "93-90=3", "63+3=66" ]
Current State: 66:[5, 58, 93, 90], Operations: [] Exploring Operation: 5+58=63, Resulting Numbers: [93, 90, 63] Generated Node #2: [93, 90, 63] from Operation: 5+58=63 Current State: 66:[93, 90, 63], Operations: ['5+58=63'] Exploring Operation: 93-90=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 93-90=3 Current State: 66:[63, 3], Operations: ['5+58=63', '93-90=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 33, 31, 12, 91 ]
16
[ "33+91=124", "124/31=4", "12+4=16" ]
Current State: 16:[33, 31, 12, 91], Operations: [] Exploring Operation: 33+91=124, Resulting Numbers: [31, 12, 124] Generated Node #2: [31, 12, 124] from Operation: 33+91=124 Current State: 16:[31, 12, 124], Operations: ['33+91=124'] Exploring Operation: 124/31=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 124/31=4 Current State: 16:[12, 4], Operations: ['33+91=124', '124/31=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 5, 50, 86, 2 ]
88
[ "50-5=45", "86/2=43", "45+43=88" ]
Current State: 88:[5, 50, 86, 2], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [86, 2, 45] Generated Node #2: [86, 2, 45] from Operation: 50-5=45 Current State: 88:[86, 2, 45], Operations: ['50-5=45'] Exploring Operation: 86/2=43, Resulting Numbers: [45, 43] Generated Node #3: [45, 43] from Operation: 86/2=43 Current State: 88:[45, 43], Operations: ['50-5=45', '86/2=43'] Exploring Operation: 45+43=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 91, 24, 1 ]
33
[ "91-81=10", "24-1=23", "10+23=33" ]
Current State: 33:[81, 91, 24, 1], Operations: [] Exploring Operation: 91-81=10, Resulting Numbers: [24, 1, 10] Generated Node #2: [24, 1, 10] from Operation: 91-81=10 Current State: 33:[24, 1, 10], Operations: ['91-81=10'] Exploring Operation: 24-1=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 24-1=23 Current State: 33:[10, 23], Operations: ['91-81=10', '24-1=23'] Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 98, 65, 50, 70 ]
88
[ "70-65=5", "50/5=10", "98-10=88" ]
Current State: 88:[98, 65, 50, 70], Operations: [] Exploring Operation: 70-65=5, Resulting Numbers: [98, 50, 5] Generated Node #2: [98, 50, 5] from Operation: 70-65=5 Current State: 88:[98, 50, 5], Operations: ['70-65=5'] Exploring Operation: 50/5=10, Resulting Numbers: [98, 10] Generated Node #3: [98, 10] from Operation: 50/5=10 Current State: 88:[98, 10], Operations: ['70-65=5', '50/5=10'] Exploring Operation: 98-10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 26, 10, 38 ]
35
[ "38/38=1", "26+10=36", "36-1=35" ]
Current State: 35:[38, 26, 10, 38], Operations: [] Exploring Operation: 38/38=1, Resulting Numbers: [26, 10, 1] Generated Node #2: [26, 10, 1] from Operation: 38/38=1 Current State: 35:[26, 10, 1], Operations: ['38/38=1'] Exploring Operation: 26+10=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 26+10=36 Current State: 35:[1, 36], Operations: ['38/38=1', '26+10=36'] Exploring Operation: 36-1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 16, 8, 31, 22 ]
18
[ "16/8=2", "31-22=9", "2*9=18" ]
Current State: 18:[16, 8, 31, 22], Operations: [] Exploring Operation: 16/8=2, Resulting Numbers: [31, 22, 2] Generated Node #2: [31, 22, 2] from Operation: 16/8=2 Current State: 18:[31, 22, 2], Operations: ['16/8=2'] Exploring Operation: 31-22=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 31-22=9 Current State: 18:[2, 9], Operations: ['16/8=2', '31-22=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 10, 27, 72, 38 ]
93
[ "27-10=17", "72+38=110", "110-17=93" ]
Current State: 93:[10, 27, 72, 38], Operations: [] Exploring Operation: 27-10=17, Resulting Numbers: [72, 38, 17] Generated Node #2: [72, 38, 17] from Operation: 27-10=17 Current State: 93:[72, 38, 17], Operations: ['27-10=17'] Exploring Operation: 72+38=110, Resulting Numbers: [17, 110] Generated Node #3: [17, 110] from Operation: 72+38=110 Current State: 93:[17, 110], Operations: ['27-10=17', '72+38=110'] Exploring Operation: 110-17=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 32, 97, 65 ]
64
[ "32/16=2", "97-65=32", "2*32=64" ]
Current State: 64:[16, 32, 97, 65], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [97, 65, 2] Generated Node #2: [97, 65, 2] from Operation: 32/16=2 Current State: 64:[97, 65, 2], Operations: ['32/16=2'] Exploring Operation: 97-65=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 97-65=32 Current State: 64:[2, 32], Operations: ['32/16=2', '97-65=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 37, 2, 15, 60 ]
39
[ "37-2=35", "60/15=4", "35+4=39" ]
Current State: 39:[37, 2, 15, 60], Operations: [] Exploring Operation: 37-2=35, Resulting Numbers: [15, 60, 35] Generated Node #2: [15, 60, 35] from Operation: 37-2=35 Current State: 39:[15, 60, 35], Operations: ['37-2=35'] Exploring Operation: 60/15=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 60/15=4 Current State: 39:[35, 4], Operations: ['37-2=35', '60/15=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 77, 5, 2, 32 ]
20
[ "77-5=72", "72-32=40", "40/2=20" ]
Current State: 20:[77, 5, 2, 32], Operations: [] Exploring Operation: 77-5=72, Resulting Numbers: [2, 32, 72] Generated Node #2: [2, 32, 72] from Operation: 77-5=72 Current State: 20:[2, 32, 72], Operations: ['77-5=72'] Exploring Operation: 72-32=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 72-32=40 Current State: 20:[2, 40], Operations: ['77-5=72', '72-32=40'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 81, 34, 20, 56 ]
83
[ "81-34=47", "56-20=36", "47+36=83" ]
Current State: 83:[81, 34, 20, 56], Operations: [] Exploring Operation: 81-34=47, Resulting Numbers: [20, 56, 47] Generated Node #2: [20, 56, 47] from Operation: 81-34=47 Current State: 83:[20, 56, 47], Operations: ['81-34=47'] Exploring Operation: 56-20=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 56-20=36 Current State: 83:[47, 36], Operations: ['81-34=47', '56-20=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 13, 92, 83 ]
82
[ "47+83=130", "130/13=10", "92-10=82" ]
Current State: 82:[47, 13, 92, 83], Operations: [] Exploring Operation: 47+83=130, Resulting Numbers: [13, 92, 130] Generated Node #2: [13, 92, 130] from Operation: 47+83=130 Current State: 82:[13, 92, 130], Operations: ['47+83=130'] Exploring Operation: 130/13=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 130/13=10 Current State: 82:[92, 10], Operations: ['47+83=130', '130/13=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 61, 26, 7, 42 ]
29
[ "61-26=35", "42/7=6", "35-6=29" ]
Current State: 29:[61, 26, 7, 42], Operations: [] Exploring Operation: 61-26=35, Resulting Numbers: [7, 42, 35] Generated Node #2: [7, 42, 35] from Operation: 61-26=35 Current State: 29:[7, 42, 35], Operations: ['61-26=35'] Exploring Operation: 42/7=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 42/7=6 Current State: 29:[35, 6], Operations: ['61-26=35', '42/7=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 28, 3, 76 ]
59
[ "76-28=48", "3*48=144", "144-85=59" ]
Current State: 59:[85, 28, 3, 76], Operations: [] Exploring Operation: 76-28=48, Resulting Numbers: [85, 3, 48] Generated Node #2: [85, 3, 48] from Operation: 76-28=48 Current State: 59:[85, 3, 48], Operations: ['76-28=48'] Exploring Operation: 3*48=144, Resulting Numbers: [85, 144] Generated Node #3: [85, 144] from Operation: 3*48=144 Current State: 59:[85, 144], Operations: ['76-28=48', '3*48=144'] Exploring Operation: 144-85=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 87, 66, 75, 43 ]
53
[ "87-66=21", "75-43=32", "21+32=53" ]
Current State: 53:[87, 66, 75, 43], Operations: [] Exploring Operation: 87-66=21, Resulting Numbers: [75, 43, 21] Generated Node #2: [75, 43, 21] from Operation: 87-66=21 Current State: 53:[75, 43, 21], Operations: ['87-66=21'] Exploring Operation: 75-43=32, Resulting Numbers: [21, 32] Generated Node #3: [21, 32] from Operation: 75-43=32 Current State: 53:[21, 32], Operations: ['87-66=21', '75-43=32'] Exploring Operation: 21+32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 26, 32, 66, 68 ]
19
[ "68-66=2", "26/2=13", "32-13=19" ]
Current State: 19:[26, 32, 66, 68], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [26, 32, 2] Generated Node #2: [26, 32, 2] from Operation: 68-66=2 Current State: 19:[26, 32, 2], Operations: ['68-66=2'] Exploring Operation: 26/2=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 26/2=13 Current State: 19:[32, 13], Operations: ['68-66=2', '26/2=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 69, 11, 76, 4 ]
56
[ "69+11=80", "80/4=20", "76-20=56" ]
Current State: 56:[69, 11, 76, 4], Operations: [] Exploring Operation: 69+11=80, Resulting Numbers: [76, 4, 80] Generated Node #2: [76, 4, 80] from Operation: 69+11=80 Current State: 56:[76, 4, 80], Operations: ['69+11=80'] Exploring Operation: 80/4=20, Resulting Numbers: [76, 20] Generated Node #3: [76, 20] from Operation: 80/4=20 Current State: 56:[76, 20], Operations: ['69+11=80', '80/4=20'] Exploring Operation: 76-20=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4