nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 3, 53, 47, 11 ]
55
[ "47-11=36", "3*36=108", "108-53=55" ]
Current State: 55:[3, 53, 47, 11], Operations: [] Exploring Operation: 47-11=36, Resulting Numbers: [3, 53, 36] Generated Node #2: [3, 53, 36] from Operation: 47-11=36 Current State: 55:[3, 53, 36], Operations: ['47-11=36'] Exploring Operation: 3*36=108, Resulting Numbers: [53, 108] Generated Node #3: [53, 108] from Operation: 3*36=108 Current State: 55:[53, 108], Operations: ['47-11=36', '3*36=108'] Exploring Operation: 108-53=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 77, 74, 4, 83 ]
83
[ "77-74=3", "4-3=1", "83*1=83" ]
Current State: 83:[77, 74, 4, 83], Operations: [] Exploring Operation: 77-74=3, Resulting Numbers: [4, 83, 3] Generated Node #2: [4, 83, 3] from Operation: 77-74=3 Current State: 83:[4, 83, 3], Operations: ['77-74=3'] Exploring Operation: 4-3=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 4-3=1 Current State: 83:[83, 1], Operations: ['77-74=3', '4-3=1'] Exploring Operation: 83*1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 36, 12, 28 ]
16
[ "31-28=3", "36+12=48", "48/3=16" ]
Current State: 16:[31, 36, 12, 28], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [36, 12, 3] Generated Node #2: [36, 12, 3] from Operation: 31-28=3 Current State: 16:[36, 12, 3], Operations: ['31-28=3'] Exploring Operation: 36+12=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 36+12=48 Current State: 16:[3, 48], Operations: ['31-28=3', '36+12=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 35, 3, 2 ]
30
[ "92-35=57", "3+57=60", "60/2=30" ]
Current State: 30:[92, 35, 3, 2], Operations: [] Exploring Operation: 92-35=57, Resulting Numbers: [3, 2, 57] Generated Node #2: [3, 2, 57] from Operation: 92-35=57 Current State: 30:[3, 2, 57], Operations: ['92-35=57'] Exploring Operation: 3+57=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 3+57=60 Current State: 30:[2, 60], Operations: ['92-35=57', '3+57=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 98, 55, 82 ]
93
[ "3*82=246", "98+55=153", "246-153=93" ]
Current State: 93:[3, 98, 55, 82], Operations: [] Exploring Operation: 3*82=246, Resulting Numbers: [98, 55, 246] Generated Node #2: [98, 55, 246] from Operation: 3*82=246 Current State: 93:[98, 55, 246], Operations: ['3*82=246'] Exploring Operation: 98+55=153, Resulting Numbers: [246, 153] Generated Node #3: [246, 153] from Operation: 98+55=153 Current State: 93:[246, 153], Operations: ['3*82=246', '98+55=153'] Exploring Operation: 246-153=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 76, 86, 84, 67 ]
18
[ "76-67=9", "86-84=2", "9*2=18" ]
Current State: 18:[76, 86, 84, 67], Operations: [] Exploring Operation: 76-67=9, Resulting Numbers: [86, 84, 9] Generated Node #2: [86, 84, 9] from Operation: 76-67=9 Current State: 18:[86, 84, 9], Operations: ['76-67=9'] Exploring Operation: 86-84=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 86-84=2 Current State: 18:[9, 2], Operations: ['76-67=9', '86-84=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 58, 72, 26 ]
91
[ "58+26=84", "78*84=6552", "6552/72=91" ]
Current State: 91:[78, 58, 72, 26], Operations: [] Exploring Operation: 58+26=84, Resulting Numbers: [78, 72, 84] Generated Node #2: [78, 72, 84] from Operation: 58+26=84 Current State: 91:[78, 72, 84], Operations: ['58+26=84'] Exploring Operation: 78*84=6552, Resulting Numbers: [72, 6552] Generated Node #3: [72, 6552] from Operation: 78*84=6552 Current State: 91:[72, 6552], Operations: ['58+26=84', '78*84=6552'] Exploring Operation: 6552/72=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 25, 18, 86 ]
24
[ "69-25=44", "86-18=68", "68-44=24" ]
Current State: 24:[69, 25, 18, 86], Operations: [] Exploring Operation: 69-25=44, Resulting Numbers: [18, 86, 44] Generated Node #2: [18, 86, 44] from Operation: 69-25=44 Current State: 24:[18, 86, 44], Operations: ['69-25=44'] Exploring Operation: 86-18=68, Resulting Numbers: [44, 68] Generated Node #3: [44, 68] from Operation: 86-18=68 Current State: 24:[44, 68], Operations: ['69-25=44', '86-18=68'] Exploring Operation: 68-44=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 79, 45, 39, 53 ]
32
[ "79+45=124", "39+53=92", "124-92=32" ]
Current State: 32:[79, 45, 39, 53], Operations: [] Exploring Operation: 79+45=124, Resulting Numbers: [39, 53, 124] Generated Node #2: [39, 53, 124] from Operation: 79+45=124 Current State: 32:[39, 53, 124], Operations: ['79+45=124'] Exploring Operation: 39+53=92, Resulting Numbers: [124, 92] Generated Node #3: [124, 92] from Operation: 39+53=92 Current State: 32:[124, 92], Operations: ['79+45=124', '39+53=92'] Exploring Operation: 124-92=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 33, 53, 63 ]
92
[ "33+53=86", "86-63=23", "4*23=92" ]
Current State: 92:[4, 33, 53, 63], Operations: [] Exploring Operation: 33+53=86, Resulting Numbers: [4, 63, 86] Generated Node #2: [4, 63, 86] from Operation: 33+53=86 Current State: 92:[4, 63, 86], Operations: ['33+53=86'] Exploring Operation: 86-63=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 86-63=23 Current State: 92:[4, 23], Operations: ['33+53=86', '86-63=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 2, 39, 68, 51 ]
44
[ "68-39=29", "51-29=22", "2*22=44" ]
Current State: 44:[2, 39, 68, 51], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [2, 51, 29] Generated Node #2: [2, 51, 29] from Operation: 68-39=29 Current State: 44:[2, 51, 29], Operations: ['68-39=29'] Exploring Operation: 51-29=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 51-29=22 Current State: 44:[2, 22], Operations: ['68-39=29', '51-29=22'] Exploring Operation: 2*22=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 33, 37, 71 ]
25
[ "33+37=70", "71-70=1", "25*1=25" ]
Current State: 25:[25, 33, 37, 71], Operations: [] Exploring Operation: 33+37=70, Resulting Numbers: [25, 71, 70] Generated Node #2: [25, 71, 70] from Operation: 33+37=70 Current State: 25:[25, 71, 70], Operations: ['33+37=70'] Exploring Operation: 71-70=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 71-70=1 Current State: 25:[25, 1], Operations: ['33+37=70', '71-70=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 22, 42, 88, 27 ]
95
[ "42-22=20", "88+27=115", "115-20=95" ]
Current State: 95:[22, 42, 88, 27], Operations: [] Exploring Operation: 42-22=20, Resulting Numbers: [88, 27, 20] Generated Node #2: [88, 27, 20] from Operation: 42-22=20 Current State: 95:[88, 27, 20], Operations: ['42-22=20'] Exploring Operation: 88+27=115, Resulting Numbers: [20, 115] Generated Node #3: [20, 115] from Operation: 88+27=115 Current State: 95:[20, 115], Operations: ['42-22=20', '88+27=115'] Exploring Operation: 115-20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 64, 61, 49 ]
62
[ "64-61=3", "39/3=13", "49+13=62" ]
Current State: 62:[39, 64, 61, 49], Operations: [] Exploring Operation: 64-61=3, Resulting Numbers: [39, 49, 3] Generated Node #2: [39, 49, 3] from Operation: 64-61=3 Current State: 62:[39, 49, 3], Operations: ['64-61=3'] Exploring Operation: 39/3=13, Resulting Numbers: [49, 13] Generated Node #3: [49, 13] from Operation: 39/3=13 Current State: 62:[49, 13], Operations: ['64-61=3', '39/3=13'] Exploring Operation: 49+13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 75, 20, 50, 28 ]
23
[ "75-20=55", "50+28=78", "78-55=23" ]
Current State: 23:[75, 20, 50, 28], Operations: [] Exploring Operation: 75-20=55, Resulting Numbers: [50, 28, 55] Generated Node #2: [50, 28, 55] from Operation: 75-20=55 Current State: 23:[50, 28, 55], Operations: ['75-20=55'] Exploring Operation: 50+28=78, Resulting Numbers: [55, 78] Generated Node #3: [55, 78] from Operation: 50+28=78 Current State: 23:[55, 78], Operations: ['75-20=55', '50+28=78'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 46, 63, 48, 27 ]
88
[ "46+63=109", "48-27=21", "109-21=88" ]
Current State: 88:[46, 63, 48, 27], Operations: [] Exploring Operation: 46+63=109, Resulting Numbers: [48, 27, 109] Generated Node #2: [48, 27, 109] from Operation: 46+63=109 Current State: 88:[48, 27, 109], Operations: ['46+63=109'] Exploring Operation: 48-27=21, Resulting Numbers: [109, 21] Generated Node #3: [109, 21] from Operation: 48-27=21 Current State: 88:[109, 21], Operations: ['46+63=109', '48-27=21'] Exploring Operation: 109-21=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 35, 64, 57, 58 ]
53
[ "64-57=7", "35/7=5", "58-5=53" ]
Current State: 53:[35, 64, 57, 58], Operations: [] Exploring Operation: 64-57=7, Resulting Numbers: [35, 58, 7] Generated Node #2: [35, 58, 7] from Operation: 64-57=7 Current State: 53:[35, 58, 7], Operations: ['64-57=7'] Exploring Operation: 35/7=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 35/7=5 Current State: 53:[58, 5], Operations: ['64-57=7', '35/7=5'] Exploring Operation: 58-5=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 49, 8, 21 ]
24
[ "49-31=18", "21-18=3", "8*3=24" ]
Current State: 24:[31, 49, 8, 21], Operations: [] Exploring Operation: 49-31=18, Resulting Numbers: [8, 21, 18] Generated Node #2: [8, 21, 18] from Operation: 49-31=18 Current State: 24:[8, 21, 18], Operations: ['49-31=18'] Exploring Operation: 21-18=3, Resulting Numbers: [8, 3] Generated Node #3: [8, 3] from Operation: 21-18=3 Current State: 24:[8, 3], Operations: ['49-31=18', '21-18=3'] Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 74, 61, 24, 52 ]
54
[ "61-24=37", "74/37=2", "52+2=54" ]
Current State: 54:[74, 61, 24, 52], Operations: [] Exploring Operation: 61-24=37, Resulting Numbers: [74, 52, 37] Generated Node #2: [74, 52, 37] from Operation: 61-24=37 Current State: 54:[74, 52, 37], Operations: ['61-24=37'] Exploring Operation: 74/37=2, Resulting Numbers: [52, 2] Generated Node #3: [52, 2] from Operation: 74/37=2 Current State: 54:[52, 2], Operations: ['61-24=37', '74/37=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 96, 50, 18, 12 ]
60
[ "96/12=8", "50+18=68", "68-8=60" ]
Current State: 60:[96, 50, 18, 12], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [50, 18, 8] Generated Node #2: [50, 18, 8] from Operation: 96/12=8 Current State: 60:[50, 18, 8], Operations: ['96/12=8'] Exploring Operation: 50+18=68, Resulting Numbers: [8, 68] Generated Node #3: [8, 68] from Operation: 50+18=68 Current State: 60:[8, 68], Operations: ['96/12=8', '50+18=68'] Exploring Operation: 68-8=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 27, 96, 9, 48 ]
11
[ "96+48=144", "144/9=16", "27-16=11" ]
Current State: 11:[27, 96, 9, 48], Operations: [] Exploring Operation: 96+48=144, Resulting Numbers: [27, 9, 144] Generated Node #2: [27, 9, 144] from Operation: 96+48=144 Current State: 11:[27, 9, 144], Operations: ['96+48=144'] Exploring Operation: 144/9=16, Resulting Numbers: [27, 16] Generated Node #3: [27, 16] from Operation: 144/9=16 Current State: 11:[27, 16], Operations: ['96+48=144', '144/9=16'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 15, 90, 89, 5 ]
76
[ "15*5=75", "90-89=1", "75+1=76" ]
Current State: 76:[15, 90, 89, 5], Operations: [] Exploring Operation: 15*5=75, Resulting Numbers: [90, 89, 75] Generated Node #2: [90, 89, 75] from Operation: 15*5=75 Current State: 76:[90, 89, 75], Operations: ['15*5=75'] Exploring Operation: 90-89=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 90-89=1 Current State: 76:[75, 1], Operations: ['15*5=75', '90-89=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 91, 65, 42, 6 ]
16
[ "91+65=156", "156/6=26", "42-26=16" ]
Current State: 16:[91, 65, 42, 6], Operations: [] Exploring Operation: 91+65=156, Resulting Numbers: [42, 6, 156] Generated Node #2: [42, 6, 156] from Operation: 91+65=156 Current State: 16:[42, 6, 156], Operations: ['91+65=156'] Exploring Operation: 156/6=26, Resulting Numbers: [42, 26] Generated Node #3: [42, 26] from Operation: 156/6=26 Current State: 16:[42, 26], Operations: ['91+65=156', '156/6=26'] Exploring Operation: 42-26=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 31, 94, 92 ]
81
[ "94-92=2", "25*2=50", "31+50=81" ]
Current State: 81:[25, 31, 94, 92], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [25, 31, 2] Generated Node #2: [25, 31, 2] from Operation: 94-92=2 Current State: 81:[25, 31, 2], Operations: ['94-92=2'] Exploring Operation: 25*2=50, Resulting Numbers: [31, 50] Generated Node #3: [31, 50] from Operation: 25*2=50 Current State: 81:[31, 50], Operations: ['94-92=2', '25*2=50'] Exploring Operation: 31+50=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 84, 76, 89, 32 ]
63
[ "89-32=57", "84*57=4788", "4788/76=63" ]
Current State: 63:[84, 76, 89, 32], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [84, 76, 57] Generated Node #2: [84, 76, 57] from Operation: 89-32=57 Current State: 63:[84, 76, 57], Operations: ['89-32=57'] Exploring Operation: 84*57=4788, Resulting Numbers: [76, 4788] Generated Node #3: [76, 4788] from Operation: 84*57=4788 Current State: 63:[76, 4788], Operations: ['89-32=57', '84*57=4788'] Exploring Operation: 4788/76=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 78, 86, 4, 72 ]
68
[ "86-78=8", "4+72=76", "76-8=68" ]
Current State: 68:[78, 86, 4, 72], Operations: [] Exploring Operation: 86-78=8, Resulting Numbers: [4, 72, 8] Generated Node #2: [4, 72, 8] from Operation: 86-78=8 Current State: 68:[4, 72, 8], Operations: ['86-78=8'] Exploring Operation: 4+72=76, Resulting Numbers: [8, 76] Generated Node #3: [8, 76] from Operation: 4+72=76 Current State: 68:[8, 76], Operations: ['86-78=8', '4+72=76'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 26, 20, 4 ]
12
[ "73*4=292", "20+292=312", "312/26=12" ]
Current State: 12:[73, 26, 20, 4], Operations: [] Exploring Operation: 73*4=292, Resulting Numbers: [26, 20, 292] Generated Node #2: [26, 20, 292] from Operation: 73*4=292 Current State: 12:[26, 20, 292], Operations: ['73*4=292'] Exploring Operation: 20+292=312, Resulting Numbers: [26, 312] Generated Node #3: [26, 312] from Operation: 20+292=312 Current State: 12:[26, 312], Operations: ['73*4=292', '20+292=312'] Exploring Operation: 312/26=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 31, 61, 28, 15 ]
17
[ "61-31=30", "28-15=13", "30-13=17" ]
Current State: 17:[31, 61, 28, 15], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [28, 15, 30] Generated Node #2: [28, 15, 30] from Operation: 61-31=30 Current State: 17:[28, 15, 30], Operations: ['61-31=30'] Exploring Operation: 28-15=13, Resulting Numbers: [30, 13] Generated Node #3: [30, 13] from Operation: 28-15=13 Current State: 17:[30, 13], Operations: ['61-31=30', '28-15=13'] Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 6, 32, 99, 27 ]
44
[ "99-27=72", "72/6=12", "32+12=44" ]
Current State: 44:[6, 32, 99, 27], Operations: [] Exploring Operation: 99-27=72, Resulting Numbers: [6, 32, 72] Generated Node #2: [6, 32, 72] from Operation: 99-27=72 Current State: 44:[6, 32, 72], Operations: ['99-27=72'] Exploring Operation: 72/6=12, Resulting Numbers: [32, 12] Generated Node #3: [32, 12] from Operation: 72/6=12 Current State: 44:[32, 12], Operations: ['99-27=72', '72/6=12'] Exploring Operation: 32+12=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 25, 3, 75, 14 ]
20
[ "75/25=3", "3+14=17", "3+17=20" ]
Current State: 20:[25, 3, 75, 14], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [3, 14, 3] Generated Node #2: [3, 14, 3] from Operation: 75/25=3 Current State: 20:[3, 14, 3], Operations: ['75/25=3'] Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,20 equal: Goal Reached Exploring Operation: 3+17=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 8, 42, 56 ]
66
[ "72+8=80", "56-42=14", "80-14=66" ]
Current State: 66:[72, 8, 42, 56], Operations: [] Exploring Operation: 72+8=80, Resulting Numbers: [42, 56, 80] Generated Node #2: [42, 56, 80] from Operation: 72+8=80 Current State: 66:[42, 56, 80], Operations: ['72+8=80'] Exploring Operation: 56-42=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 56-42=14 Current State: 66:[80, 14], Operations: ['72+8=80', '56-42=14'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 33, 17, 45, 80 ]
50
[ "33-17=16", "80/16=5", "45+5=50" ]
Current State: 50:[33, 17, 45, 80], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [45, 80, 16] Generated Node #2: [45, 80, 16] from Operation: 33-17=16 Current State: 50:[45, 80, 16], Operations: ['33-17=16'] Exploring Operation: 80/16=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 80/16=5 Current State: 50:[45, 5], Operations: ['33-17=16', '80/16=5'] Exploring Operation: 45+5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 8, 42, 58, 68 ]
84
[ "8+58=66", "68-66=2", "42*2=84" ]
Current State: 84:[8, 42, 58, 68], Operations: [] Exploring Operation: 8+58=66, Resulting Numbers: [42, 68, 66] Generated Node #2: [42, 68, 66] from Operation: 8+58=66 Current State: 84:[42, 68, 66], Operations: ['8+58=66'] Exploring Operation: 68-66=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 68-66=2 Current State: 84:[42, 2], Operations: ['8+58=66', '68-66=2'] Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 14, 86, 38 ]
18
[ "14+38=52", "2*52=104", "104-86=18" ]
Current State: 18:[2, 14, 86, 38], Operations: [] Exploring Operation: 14+38=52, Resulting Numbers: [2, 86, 52] Generated Node #2: [2, 86, 52] from Operation: 14+38=52 Current State: 18:[2, 86, 52], Operations: ['14+38=52'] Exploring Operation: 2*52=104, Resulting Numbers: [86, 104] Generated Node #3: [86, 104] from Operation: 2*52=104 Current State: 18:[86, 104], Operations: ['14+38=52', '2*52=104'] Exploring Operation: 104-86=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 74, 21, 86 ]
47
[ "80+74=154", "21+86=107", "154-107=47" ]
Current State: 47:[80, 74, 21, 86], Operations: [] Exploring Operation: 80+74=154, Resulting Numbers: [21, 86, 154] Generated Node #2: [21, 86, 154] from Operation: 80+74=154 Current State: 47:[21, 86, 154], Operations: ['80+74=154'] Exploring Operation: 21+86=107, Resulting Numbers: [154, 107] Generated Node #3: [154, 107] from Operation: 21+86=107 Current State: 47:[154, 107], Operations: ['80+74=154', '21+86=107'] Exploring Operation: 154-107=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 34, 29, 87, 79 ]
55
[ "34+29=63", "87-79=8", "63-8=55" ]
Current State: 55:[34, 29, 87, 79], Operations: [] Exploring Operation: 34+29=63, Resulting Numbers: [87, 79, 63] Generated Node #2: [87, 79, 63] from Operation: 34+29=63 Current State: 55:[87, 79, 63], Operations: ['34+29=63'] Exploring Operation: 87-79=8, Resulting Numbers: [63, 8] Generated Node #3: [63, 8] from Operation: 87-79=8 Current State: 55:[63, 8], Operations: ['34+29=63', '87-79=8'] Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 64, 8, 37 ]
59
[ "3+37=40", "40/8=5", "64-5=59" ]
Current State: 59:[3, 64, 8, 37], Operations: [] Exploring Operation: 3+37=40, Resulting Numbers: [64, 8, 40] Generated Node #2: [64, 8, 40] from Operation: 3+37=40 Current State: 59:[64, 8, 40], Operations: ['3+37=40'] Exploring Operation: 40/8=5, Resulting Numbers: [64, 5] Generated Node #3: [64, 5] from Operation: 40/8=5 Current State: 59:[64, 5], Operations: ['3+37=40', '40/8=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 74, 5, 99, 95 ]
94
[ "99-95=4", "5*4=20", "74+20=94" ]
Current State: 94:[74, 5, 99, 95], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [74, 5, 4] Generated Node #2: [74, 5, 4] from Operation: 99-95=4 Current State: 94:[74, 5, 4], Operations: ['99-95=4'] Exploring Operation: 5*4=20, Resulting Numbers: [74, 20] Generated Node #3: [74, 20] from Operation: 5*4=20 Current State: 94:[74, 20], Operations: ['99-95=4', '5*4=20'] Exploring Operation: 74+20=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 96, 84, 12 ]
72
[ "12-10=2", "84*2=168", "168-96=72" ]
Current State: 72:[10, 96, 84, 12], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [96, 84, 2] Generated Node #2: [96, 84, 2] from Operation: 12-10=2 Current State: 72:[96, 84, 2], Operations: ['12-10=2'] Exploring Operation: 84*2=168, Resulting Numbers: [96, 168] Generated Node #3: [96, 168] from Operation: 84*2=168 Current State: 72:[96, 168], Operations: ['12-10=2', '84*2=168'] Exploring Operation: 168-96=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 25, 52, 13, 55 ]
84
[ "25+55=80", "52/13=4", "80+4=84" ]
Current State: 84:[25, 52, 13, 55], Operations: [] Exploring Operation: 25+55=80, Resulting Numbers: [52, 13, 80] Generated Node #2: [52, 13, 80] from Operation: 25+55=80 Current State: 84:[52, 13, 80], Operations: ['25+55=80'] Exploring Operation: 52/13=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 52/13=4 Current State: 84:[80, 4], Operations: ['25+55=80', '52/13=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 35, 6, 15, 99 ]
96
[ "35*6=210", "15+99=114", "210-114=96" ]
Current State: 96:[35, 6, 15, 99], Operations: [] Exploring Operation: 35*6=210, Resulting Numbers: [15, 99, 210] Generated Node #2: [15, 99, 210] from Operation: 35*6=210 Current State: 96:[15, 99, 210], Operations: ['35*6=210'] Exploring Operation: 15+99=114, Resulting Numbers: [210, 114] Generated Node #3: [210, 114] from Operation: 15+99=114 Current State: 96:[210, 114], Operations: ['35*6=210', '15+99=114'] Exploring Operation: 210-114=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 48, 15, 84, 1 ]
50
[ "48-15=33", "84-1=83", "83-33=50" ]
Current State: 50:[48, 15, 84, 1], Operations: [] Exploring Operation: 48-15=33, Resulting Numbers: [84, 1, 33] Generated Node #2: [84, 1, 33] from Operation: 48-15=33 Current State: 50:[84, 1, 33], Operations: ['48-15=33'] Exploring Operation: 84-1=83, Resulting Numbers: [33, 83] Generated Node #3: [33, 83] from Operation: 84-1=83 Current State: 50:[33, 83], Operations: ['48-15=33', '84-1=83'] Exploring Operation: 83-33=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 20, 9, 47, 76 ]
79
[ "47-20=27", "27/9=3", "76+3=79" ]
Current State: 79:[20, 9, 47, 76], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [9, 76, 27] Generated Node #2: [9, 76, 27] from Operation: 47-20=27 Current State: 79:[9, 76, 27], Operations: ['47-20=27'] Exploring Operation: 27/9=3, Resulting Numbers: [76, 3] Generated Node #3: [76, 3] from Operation: 27/9=3 Current State: 79:[76, 3], Operations: ['47-20=27', '27/9=3'] Exploring Operation: 76+3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 71, 70, 31, 74 ]
23
[ "74-71=3", "31*3=93", "93-70=23" ]
Current State: 23:[71, 70, 31, 74], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [70, 31, 3] Generated Node #2: [70, 31, 3] from Operation: 74-71=3 Current State: 23:[70, 31, 3], Operations: ['74-71=3'] Exploring Operation: 31*3=93, Resulting Numbers: [70, 93] Generated Node #3: [70, 93] from Operation: 31*3=93 Current State: 23:[70, 93], Operations: ['74-71=3', '31*3=93'] Exploring Operation: 93-70=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 26, 97, 38, 94 ]
88
[ "97-94=3", "38*3=114", "114-26=88" ]
Current State: 88:[26, 97, 38, 94], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [26, 38, 3] Generated Node #2: [26, 38, 3] from Operation: 97-94=3 Current State: 88:[26, 38, 3], Operations: ['97-94=3'] Exploring Operation: 38*3=114, Resulting Numbers: [26, 114] Generated Node #3: [26, 114] from Operation: 38*3=114 Current State: 88:[26, 114], Operations: ['97-94=3', '38*3=114'] Exploring Operation: 114-26=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 92, 7, 14, 16 ]
34
[ "92-14=78", "7*16=112", "112-78=34" ]
Current State: 34:[92, 7, 14, 16], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [7, 16, 78] Generated Node #2: [7, 16, 78] from Operation: 92-14=78 Current State: 34:[7, 16, 78], Operations: ['92-14=78'] Exploring Operation: 7*16=112, Resulting Numbers: [78, 112] Generated Node #3: [78, 112] from Operation: 7*16=112 Current State: 34:[78, 112], Operations: ['92-14=78', '7*16=112'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 90, 53, 23, 28 ]
25
[ "53-23=30", "90/30=3", "28-3=25" ]
Current State: 25:[90, 53, 23, 28], Operations: [] Exploring Operation: 53-23=30, Resulting Numbers: [90, 28, 30] Generated Node #2: [90, 28, 30] from Operation: 53-23=30 Current State: 25:[90, 28, 30], Operations: ['53-23=30'] Exploring Operation: 90/30=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 90/30=3 Current State: 25:[28, 3], Operations: ['53-23=30', '90/30=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 98, 2, 80, 74 ]
95
[ "80-74=6", "6/2=3", "98-3=95" ]
Current State: 95:[98, 2, 80, 74], Operations: [] Exploring Operation: 80-74=6, Resulting Numbers: [98, 2, 6] Generated Node #2: [98, 2, 6] from Operation: 80-74=6 Current State: 95:[98, 2, 6], Operations: ['80-74=6'] Exploring Operation: 6/2=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 6/2=3 Current State: 95:[98, 3], Operations: ['80-74=6', '6/2=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 25, 18, 78, 34 ]
76
[ "34-25=9", "18/9=2", "78-2=76" ]
Current State: 76:[25, 18, 78, 34], Operations: [] Exploring Operation: 34-25=9, Resulting Numbers: [18, 78, 9] Generated Node #2: [18, 78, 9] from Operation: 34-25=9 Current State: 76:[18, 78, 9], Operations: ['34-25=9'] Exploring Operation: 18/9=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 18/9=2 Current State: 76:[78, 2], Operations: ['34-25=9', '18/9=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 54, 48, 12, 42 ]
40
[ "54-48=6", "12/6=2", "42-2=40" ]
Current State: 40:[54, 48, 12, 42], Operations: [] Exploring Operation: 54-48=6, Resulting Numbers: [12, 42, 6] Generated Node #2: [12, 42, 6] from Operation: 54-48=6 Current State: 40:[12, 42, 6], Operations: ['54-48=6'] Exploring Operation: 12/6=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 12/6=2 Current State: 40:[42, 2], Operations: ['54-48=6', '12/6=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 33, 41, 3, 53 ]
48
[ "41-33=8", "3+53=56", "56-8=48" ]
Current State: 48:[33, 41, 3, 53], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [3, 53, 8] Generated Node #2: [3, 53, 8] from Operation: 41-33=8 Current State: 48:[3, 53, 8], Operations: ['41-33=8'] Exploring Operation: 3+53=56, Resulting Numbers: [8, 56] Generated Node #3: [8, 56] from Operation: 3+53=56 Current State: 48:[8, 56], Operations: ['41-33=8', '3+53=56'] Exploring Operation: 56-8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 39, 71, 22, 74 ]
35
[ "74-71=3", "39/3=13", "22+13=35" ]
Current State: 35:[39, 71, 22, 74], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [39, 22, 3] Generated Node #2: [39, 22, 3] from Operation: 74-71=3 Current State: 35:[39, 22, 3], Operations: ['74-71=3'] Exploring Operation: 39/3=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 39/3=13 Current State: 35:[22, 13], Operations: ['74-71=3', '39/3=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 37, 5, 59, 14 ]
62
[ "37+5=42", "42/14=3", "59+3=62" ]
Current State: 62:[37, 5, 59, 14], Operations: [] Exploring Operation: 37+5=42, Resulting Numbers: [59, 14, 42] Generated Node #2: [59, 14, 42] from Operation: 37+5=42 Current State: 62:[59, 14, 42], Operations: ['37+5=42'] Exploring Operation: 42/14=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 42/14=3 Current State: 62:[59, 3], Operations: ['37+5=42', '42/14=3'] Exploring Operation: 59+3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 41, 69, 70, 34 ]
82
[ "41*70=2870", "69-34=35", "2870/35=82" ]
Current State: 82:[41, 69, 70, 34], Operations: [] Exploring Operation: 41*70=2870, Resulting Numbers: [69, 34, 2870] Generated Node #2: [69, 34, 2870] from Operation: 41*70=2870 Current State: 82:[69, 34, 2870], Operations: ['41*70=2870'] Exploring Operation: 69-34=35, Resulting Numbers: [2870, 35] Generated Node #3: [2870, 35] from Operation: 69-34=35 Current State: 82:[2870, 35], Operations: ['41*70=2870', '69-34=35'] Exploring Operation: 2870/35=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 68, 90, 3, 66 ]
32
[ "68-66=2", "90/3=30", "2+30=32" ]
Current State: 32:[68, 90, 3, 66], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [90, 3, 2] Generated Node #2: [90, 3, 2] from Operation: 68-66=2 Current State: 32:[90, 3, 2], Operations: ['68-66=2'] Exploring Operation: 90/3=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 90/3=30 Current State: 32:[2, 30], Operations: ['68-66=2', '90/3=30'] Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 29, 45, 7 ]
33
[ "42+29=71", "45-7=38", "71-38=33" ]
Current State: 33:[42, 29, 45, 7], Operations: [] Exploring Operation: 42+29=71, Resulting Numbers: [45, 7, 71] Generated Node #2: [45, 7, 71] from Operation: 42+29=71 Current State: 33:[45, 7, 71], Operations: ['42+29=71'] Exploring Operation: 45-7=38, Resulting Numbers: [71, 38] Generated Node #3: [71, 38] from Operation: 45-7=38 Current State: 33:[71, 38], Operations: ['42+29=71', '45-7=38'] Exploring Operation: 71-38=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 16, 53, 78 ]
82
[ "11+53=64", "64/16=4", "78+4=82" ]
Current State: 82:[11, 16, 53, 78], Operations: [] Exploring Operation: 11+53=64, Resulting Numbers: [16, 78, 64] Generated Node #2: [16, 78, 64] from Operation: 11+53=64 Current State: 82:[16, 78, 64], Operations: ['11+53=64'] Exploring Operation: 64/16=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 64/16=4 Current State: 82:[78, 4], Operations: ['11+53=64', '64/16=4'] Exploring Operation: 78+4=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 71, 79, 36, 50 ]
12
[ "71+79=150", "36*50=1800", "1800/150=12" ]
Current State: 12:[71, 79, 36, 50], Operations: [] Exploring Operation: 71+79=150, Resulting Numbers: [36, 50, 150] Generated Node #2: [36, 50, 150] from Operation: 71+79=150 Current State: 12:[36, 50, 150], Operations: ['71+79=150'] Exploring Operation: 36*50=1800, Resulting Numbers: [150, 1800] Generated Node #3: [150, 1800] from Operation: 36*50=1800 Current State: 12:[150, 1800], Operations: ['71+79=150', '36*50=1800'] Exploring Operation: 1800/150=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 16, 75, 98 ]
73
[ "98/7=14", "75-16=59", "14+59=73" ]
Current State: 73:[7, 16, 75, 98], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [16, 75, 14] Generated Node #2: [16, 75, 14] from Operation: 98/7=14 Current State: 73:[16, 75, 14], Operations: ['98/7=14'] Exploring Operation: 75-16=59, Resulting Numbers: [14, 59] Generated Node #3: [14, 59] from Operation: 75-16=59 Current State: 73:[14, 59], Operations: ['98/7=14', '75-16=59'] Exploring Operation: 14+59=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 40, 66, 2, 94 ]
78
[ "94-40=54", "66*2=132", "132-54=78" ]
Current State: 78:[40, 66, 2, 94], Operations: [] Exploring Operation: 94-40=54, Resulting Numbers: [66, 2, 54] Generated Node #2: [66, 2, 54] from Operation: 94-40=54 Current State: 78:[66, 2, 54], Operations: ['94-40=54'] Exploring Operation: 66*2=132, Resulting Numbers: [54, 132] Generated Node #3: [54, 132] from Operation: 66*2=132 Current State: 78:[54, 132], Operations: ['94-40=54', '66*2=132'] Exploring Operation: 132-54=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 47, 81, 92, 43 ]
79
[ "47+81=128", "92-43=49", "128-49=79" ]
Current State: 79:[47, 81, 92, 43], Operations: [] Exploring Operation: 47+81=128, Resulting Numbers: [92, 43, 128] Generated Node #2: [92, 43, 128] from Operation: 47+81=128 Current State: 79:[92, 43, 128], Operations: ['47+81=128'] Exploring Operation: 92-43=49, Resulting Numbers: [128, 49] Generated Node #3: [128, 49] from Operation: 92-43=49 Current State: 79:[128, 49], Operations: ['47+81=128', '92-43=49'] Exploring Operation: 128-49=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 43, 86, 51, 9 ]
87
[ "43+86=129", "51-9=42", "129-42=87" ]
Current State: 87:[43, 86, 51, 9], Operations: [] Exploring Operation: 43+86=129, Resulting Numbers: [51, 9, 129] Generated Node #2: [51, 9, 129] from Operation: 43+86=129 Current State: 87:[51, 9, 129], Operations: ['43+86=129'] Exploring Operation: 51-9=42, Resulting Numbers: [129, 42] Generated Node #3: [129, 42] from Operation: 51-9=42 Current State: 87:[129, 42], Operations: ['43+86=129', '51-9=42'] Exploring Operation: 129-42=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 1, 91, 64, 16 ]
43
[ "1*91=91", "64-16=48", "91-48=43" ]
Current State: 43:[1, 91, 64, 16], Operations: [] Exploring Operation: 1*91=91, Resulting Numbers: [64, 16, 91] Generated Node #2: [64, 16, 91] from Operation: 1*91=91 Current State: 43:[64, 16, 91], Operations: ['1*91=91'] Exploring Operation: 64-16=48, Resulting Numbers: [91, 48] Generated Node #3: [91, 48] from Operation: 64-16=48 Current State: 43:[91, 48], Operations: ['1*91=91', '64-16=48'] Exploring Operation: 91-48=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 36, 7, 5, 28 ]
96
[ "36-28=8", "7+5=12", "8*12=96" ]
Current State: 96:[36, 7, 5, 28], Operations: [] Exploring Operation: 36-28=8, Resulting Numbers: [7, 5, 8] Generated Node #2: [7, 5, 8] from Operation: 36-28=8 Current State: 96:[7, 5, 8], Operations: ['36-28=8'] Exploring Operation: 7+5=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 7+5=12 Current State: 96:[8, 12], Operations: ['36-28=8', '7+5=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 55, 32, 68, 85 ]
70
[ "55+32=87", "85-68=17", "87-17=70" ]
Current State: 70:[55, 32, 68, 85], Operations: [] Exploring Operation: 55+32=87, Resulting Numbers: [68, 85, 87] Generated Node #2: [68, 85, 87] from Operation: 55+32=87 Current State: 70:[68, 85, 87], Operations: ['55+32=87'] Exploring Operation: 85-68=17, Resulting Numbers: [87, 17] Generated Node #3: [87, 17] from Operation: 85-68=17 Current State: 70:[87, 17], Operations: ['55+32=87', '85-68=17'] Exploring Operation: 87-17=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 31, 32, 43, 4 ]
29
[ "43-31=12", "12/4=3", "32-3=29" ]
Current State: 29:[31, 32, 43, 4], Operations: [] Exploring Operation: 43-31=12, Resulting Numbers: [32, 4, 12] Generated Node #2: [32, 4, 12] from Operation: 43-31=12 Current State: 29:[32, 4, 12], Operations: ['43-31=12'] Exploring Operation: 12/4=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 12/4=3 Current State: 29:[32, 3], Operations: ['43-31=12', '12/4=3'] Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 35, 94, 93 ]
14
[ "48-35=13", "94-93=1", "13+1=14" ]
Current State: 14:[48, 35, 94, 93], Operations: [] Exploring Operation: 48-35=13, Resulting Numbers: [94, 93, 13] Generated Node #2: [94, 93, 13] from Operation: 48-35=13 Current State: 14:[94, 93, 13], Operations: ['48-35=13'] Exploring Operation: 94-93=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 94-93=1 Current State: 14:[13, 1], Operations: ['48-35=13', '94-93=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 77, 37, 50, 57 ]
52
[ "77+37=114", "114/57=2", "50+2=52" ]
Current State: 52:[77, 37, 50, 57], Operations: [] Exploring Operation: 77+37=114, Resulting Numbers: [50, 57, 114] Generated Node #2: [50, 57, 114] from Operation: 77+37=114 Current State: 52:[50, 57, 114], Operations: ['77+37=114'] Exploring Operation: 114/57=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 114/57=2 Current State: 52:[50, 2], Operations: ['77+37=114', '114/57=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 57, 72, 18 ]
57
[ "72/18=4", "4-3=1", "57*1=57" ]
Current State: 57:[3, 57, 72, 18], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [3, 57, 4] Generated Node #2: [3, 57, 4] from Operation: 72/18=4 Current State: 57:[3, 57, 4], Operations: ['72/18=4'] Exploring Operation: 4-3=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 4-3=1 Current State: 57:[57, 1], Operations: ['72/18=4', '4-3=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 19, 55, 3, 87 ]
39
[ "19+55=74", "87-74=13", "3*13=39" ]
Current State: 39:[19, 55, 3, 87], Operations: [] Exploring Operation: 19+55=74, Resulting Numbers: [3, 87, 74] Generated Node #2: [3, 87, 74] from Operation: 19+55=74 Current State: 39:[3, 87, 74], Operations: ['19+55=74'] Exploring Operation: 87-74=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 87-74=13 Current State: 39:[3, 13], Operations: ['19+55=74', '87-74=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 10, 72, 13 ]
96
[ "48*13=624", "10*72=720", "720-624=96" ]
Current State: 96:[48, 10, 72, 13], Operations: [] Exploring Operation: 48*13=624, Resulting Numbers: [10, 72, 624] Generated Node #2: [10, 72, 624] from Operation: 48*13=624 Current State: 96:[10, 72, 624], Operations: ['48*13=624'] Exploring Operation: 10*72=720, Resulting Numbers: [624, 720] Generated Node #3: [624, 720] from Operation: 10*72=720 Current State: 96:[624, 720], Operations: ['48*13=624', '10*72=720'] Exploring Operation: 720-624=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 83, 42, 37, 38 ]
34
[ "83-42=41", "37+38=75", "75-41=34" ]
Current State: 34:[83, 42, 37, 38], Operations: [] Exploring Operation: 83-42=41, Resulting Numbers: [37, 38, 41] Generated Node #2: [37, 38, 41] from Operation: 83-42=41 Current State: 34:[37, 38, 41], Operations: ['83-42=41'] Exploring Operation: 37+38=75, Resulting Numbers: [41, 75] Generated Node #3: [41, 75] from Operation: 37+38=75 Current State: 34:[41, 75], Operations: ['83-42=41', '37+38=75'] Exploring Operation: 75-41=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 21, 47, 11, 85 ]
28
[ "21+47=68", "11+85=96", "96-68=28" ]
Current State: 28:[21, 47, 11, 85], Operations: [] Exploring Operation: 21+47=68, Resulting Numbers: [11, 85, 68] Generated Node #2: [11, 85, 68] from Operation: 21+47=68 Current State: 28:[11, 85, 68], Operations: ['21+47=68'] Exploring Operation: 11+85=96, Resulting Numbers: [68, 96] Generated Node #3: [68, 96] from Operation: 11+85=96 Current State: 28:[68, 96], Operations: ['21+47=68', '11+85=96'] Exploring Operation: 96-68=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 77, 65, 42 ]
44
[ "77-65=12", "12/6=2", "42+2=44" ]
Current State: 44:[6, 77, 65, 42], Operations: [] Exploring Operation: 77-65=12, Resulting Numbers: [6, 42, 12] Generated Node #2: [6, 42, 12] from Operation: 77-65=12 Current State: 44:[6, 42, 12], Operations: ['77-65=12'] Exploring Operation: 12/6=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 12/6=2 Current State: 44:[42, 2], Operations: ['77-65=12', '12/6=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 42, 77, 89, 62 ]
32
[ "42+77=119", "89+62=151", "151-119=32" ]
Current State: 32:[42, 77, 89, 62], Operations: [] Exploring Operation: 42+77=119, Resulting Numbers: [89, 62, 119] Generated Node #2: [89, 62, 119] from Operation: 42+77=119 Current State: 32:[89, 62, 119], Operations: ['42+77=119'] Exploring Operation: 89+62=151, Resulting Numbers: [119, 151] Generated Node #3: [119, 151] from Operation: 89+62=151 Current State: 32:[119, 151], Operations: ['42+77=119', '89+62=151'] Exploring Operation: 151-119=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 34, 22, 3, 63 ]
77
[ "34+22=56", "63/3=21", "56+21=77" ]
Current State: 77:[34, 22, 3, 63], Operations: [] Exploring Operation: 34+22=56, Resulting Numbers: [3, 63, 56] Generated Node #2: [3, 63, 56] from Operation: 34+22=56 Current State: 77:[3, 63, 56], Operations: ['34+22=56'] Exploring Operation: 63/3=21, Resulting Numbers: [56, 21] Generated Node #3: [56, 21] from Operation: 63/3=21 Current State: 77:[56, 21], Operations: ['34+22=56', '63/3=21'] Exploring Operation: 56+21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 88, 16, 11, 33 ]
75
[ "88-16=72", "33/11=3", "72+3=75" ]
Current State: 75:[88, 16, 11, 33], Operations: [] Exploring Operation: 88-16=72, Resulting Numbers: [11, 33, 72] Generated Node #2: [11, 33, 72] from Operation: 88-16=72 Current State: 75:[11, 33, 72], Operations: ['88-16=72'] Exploring Operation: 33/11=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 33/11=3 Current State: 75:[72, 3], Operations: ['88-16=72', '33/11=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 14, 61, 68 ]
16
[ "23-14=9", "68-61=7", "9+7=16" ]
Current State: 16:[23, 14, 61, 68], Operations: [] Exploring Operation: 23-14=9, Resulting Numbers: [61, 68, 9] Generated Node #2: [61, 68, 9] from Operation: 23-14=9 Current State: 16:[61, 68, 9], Operations: ['23-14=9'] Exploring Operation: 68-61=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 68-61=7 Current State: 16:[9, 7], Operations: ['23-14=9', '68-61=7'] Exploring Operation: 9+7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 24, 8, 99, 51 ]
16
[ "24+8=32", "99-51=48", "48-32=16" ]
Current State: 16:[24, 8, 99, 51], Operations: [] Exploring Operation: 24+8=32, Resulting Numbers: [99, 51, 32] Generated Node #2: [99, 51, 32] from Operation: 24+8=32 Current State: 16:[99, 51, 32], Operations: ['24+8=32'] Exploring Operation: 99-51=48, Resulting Numbers: [32, 48] Generated Node #3: [32, 48] from Operation: 99-51=48 Current State: 16:[32, 48], Operations: ['24+8=32', '99-51=48'] Exploring Operation: 48-32=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 46, 94, 13 ]
16
[ "44+94=138", "138/46=3", "13+3=16" ]
Current State: 16:[44, 46, 94, 13], Operations: [] Exploring Operation: 44+94=138, Resulting Numbers: [46, 13, 138] Generated Node #2: [46, 13, 138] from Operation: 44+94=138 Current State: 16:[46, 13, 138], Operations: ['44+94=138'] Exploring Operation: 138/46=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 138/46=3 Current State: 16:[13, 3], Operations: ['44+94=138', '138/46=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 55, 95, 57 ]
34
[ "55*57=3135", "3135/95=33", "1+33=34" ]
Current State: 34:[1, 55, 95, 57], Operations: [] Exploring Operation: 55*57=3135, Resulting Numbers: [1, 95, 3135] Generated Node #2: [1, 95, 3135] from Operation: 55*57=3135 Current State: 34:[1, 95, 3135], Operations: ['55*57=3135'] Exploring Operation: 3135/95=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 3135/95=33 Current State: 34:[1, 33], Operations: ['55*57=3135', '3135/95=33'] Exploring Operation: 1+33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 30, 31, 84 ]
90
[ "6+84=90", "31-30=1", "90*1=90" ]
Current State: 90:[6, 30, 31, 84], Operations: [] Exploring Operation: 6+84=90, Resulting Numbers: [30, 31, 90] Generated Node #2: [30, 31, 90] from Operation: 6+84=90 Current State: 90:[30, 31, 90], Operations: ['6+84=90'] Exploring Operation: 31-30=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 31-30=1 Current State: 90:[90, 1], Operations: ['6+84=90', '31-30=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 1, 92, 72, 3 ]
68
[ "1*92=92", "72/3=24", "92-24=68" ]
Current State: 68:[1, 92, 72, 3], Operations: [] Exploring Operation: 1*92=92, Resulting Numbers: [72, 3, 92] Generated Node #2: [72, 3, 92] from Operation: 1*92=92 Current State: 68:[72, 3, 92], Operations: ['1*92=92'] Exploring Operation: 72/3=24, Resulting Numbers: [92, 24] Generated Node #3: [92, 24] from Operation: 72/3=24 Current State: 68:[92, 24], Operations: ['1*92=92', '72/3=24'] Exploring Operation: 92-24=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 20, 92, 92, 71 ]
93
[ "92-20=72", "92-71=21", "72+21=93" ]
Current State: 93:[20, 92, 92, 71], Operations: [] Exploring Operation: 92-20=72, Resulting Numbers: [71, 72] Generated Node #2: [71, 72] from Operation: 92-20=72 Current State: 93:[71, 72], Operations: ['92-20=72'] Exploring Operation: 92-71=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 92-71=21 Current State: 93:[72, 21], Operations: ['92-20=72', '92-71=21'] Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 34, 24, 47, 91 ]
31
[ "47-34=13", "91/13=7", "24+7=31" ]
Current State: 31:[34, 24, 47, 91], Operations: [] Exploring Operation: 47-34=13, Resulting Numbers: [24, 91, 13] Generated Node #2: [24, 91, 13] from Operation: 47-34=13 Current State: 31:[24, 91, 13], Operations: ['47-34=13'] Exploring Operation: 91/13=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 91/13=7 Current State: 31:[24, 7], Operations: ['47-34=13', '91/13=7'] Exploring Operation: 24+7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 19, 78, 95, 77 ]
78
[ "95-19=76", "77-76=1", "78*1=78" ]
Current State: 78:[19, 78, 95, 77], Operations: [] Exploring Operation: 95-19=76, Resulting Numbers: [78, 77, 76] Generated Node #2: [78, 77, 76] from Operation: 95-19=76 Current State: 78:[78, 77, 76], Operations: ['95-19=76'] Exploring Operation: 77-76=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 77-76=1 Current State: 78:[78, 1], Operations: ['95-19=76', '77-76=1'] Exploring Operation: 78*1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 73, 36, 72, 74 ]
34
[ "72+74=146", "146/73=2", "36-2=34" ]
Current State: 34:[73, 36, 72, 74], Operations: [] Exploring Operation: 72+74=146, Resulting Numbers: [73, 36, 146] Generated Node #2: [73, 36, 146] from Operation: 72+74=146 Current State: 34:[73, 36, 146], Operations: ['72+74=146'] Exploring Operation: 146/73=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 146/73=2 Current State: 34:[36, 2], Operations: ['72+74=146', '146/73=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 3, 72, 43 ]
66
[ "43-25=18", "18/3=6", "72-6=66" ]
Current State: 66:[25, 3, 72, 43], Operations: [] Exploring Operation: 43-25=18, Resulting Numbers: [3, 72, 18] Generated Node #2: [3, 72, 18] from Operation: 43-25=18 Current State: 66:[3, 72, 18], Operations: ['43-25=18'] Exploring Operation: 18/3=6, Resulting Numbers: [72, 6] Generated Node #3: [72, 6] from Operation: 18/3=6 Current State: 66:[72, 6], Operations: ['43-25=18', '18/3=6'] Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 87, 3, 39, 65 ]
23
[ "87+39=126", "126/3=42", "65-42=23" ]
Current State: 23:[87, 3, 39, 65], Operations: [] Exploring Operation: 87+39=126, Resulting Numbers: [3, 65, 126] Generated Node #2: [3, 65, 126] from Operation: 87+39=126 Current State: 23:[3, 65, 126], Operations: ['87+39=126'] Exploring Operation: 126/3=42, Resulting Numbers: [65, 42] Generated Node #3: [65, 42] from Operation: 126/3=42 Current State: 23:[65, 42], Operations: ['87+39=126', '126/3=42'] Exploring Operation: 65-42=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 40, 65, 70, 26 ]
61
[ "40+65=105", "70-26=44", "105-44=61" ]
Current State: 61:[40, 65, 70, 26], Operations: [] Exploring Operation: 40+65=105, Resulting Numbers: [70, 26, 105] Generated Node #2: [70, 26, 105] from Operation: 40+65=105 Current State: 61:[70, 26, 105], Operations: ['40+65=105'] Exploring Operation: 70-26=44, Resulting Numbers: [105, 44] Generated Node #3: [105, 44] from Operation: 70-26=44 Current State: 61:[105, 44], Operations: ['40+65=105', '70-26=44'] Exploring Operation: 105-44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 10, 16, 29 ]
62
[ "85-10=75", "29-16=13", "75-13=62" ]
Current State: 62:[85, 10, 16, 29], Operations: [] Exploring Operation: 85-10=75, Resulting Numbers: [16, 29, 75] Generated Node #2: [16, 29, 75] from Operation: 85-10=75 Current State: 62:[16, 29, 75], Operations: ['85-10=75'] Exploring Operation: 29-16=13, Resulting Numbers: [75, 13] Generated Node #3: [75, 13] from Operation: 29-16=13 Current State: 62:[75, 13], Operations: ['85-10=75', '29-16=13'] Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 31, 52, 86 ]
45
[ "48+31=79", "86-52=34", "79-34=45" ]
Current State: 45:[48, 31, 52, 86], Operations: [] Exploring Operation: 48+31=79, Resulting Numbers: [52, 86, 79] Generated Node #2: [52, 86, 79] from Operation: 48+31=79 Current State: 45:[52, 86, 79], Operations: ['48+31=79'] Exploring Operation: 86-52=34, Resulting Numbers: [79, 34] Generated Node #3: [79, 34] from Operation: 86-52=34 Current State: 45:[79, 34], Operations: ['48+31=79', '86-52=34'] Exploring Operation: 79-34=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 29, 74, 67, 32 ]
47
[ "32-29=3", "74+67=141", "141/3=47" ]
Current State: 47:[29, 74, 67, 32], Operations: [] Exploring Operation: 32-29=3, Resulting Numbers: [74, 67, 3] Generated Node #2: [74, 67, 3] from Operation: 32-29=3 Current State: 47:[74, 67, 3], Operations: ['32-29=3'] Exploring Operation: 74+67=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 74+67=141 Current State: 47:[3, 141], Operations: ['32-29=3', '74+67=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 55, 32, 56, 81 ]
62
[ "55+32=87", "81-56=25", "87-25=62" ]
Current State: 62:[55, 32, 56, 81], Operations: [] Exploring Operation: 55+32=87, Resulting Numbers: [56, 81, 87] Generated Node #2: [56, 81, 87] from Operation: 55+32=87 Current State: 62:[56, 81, 87], Operations: ['55+32=87'] Exploring Operation: 81-56=25, Resulting Numbers: [87, 25] Generated Node #3: [87, 25] from Operation: 81-56=25 Current State: 62:[87, 25], Operations: ['55+32=87', '81-56=25'] Exploring Operation: 87-25=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 5, 95, 67 ]
57
[ "24+5=29", "95-67=28", "29+28=57" ]
Current State: 57:[24, 5, 95, 67], Operations: [] Exploring Operation: 24+5=29, Resulting Numbers: [95, 67, 29] Generated Node #2: [95, 67, 29] from Operation: 24+5=29 Current State: 57:[95, 67, 29], Operations: ['24+5=29'] Exploring Operation: 95-67=28, Resulting Numbers: [29, 28] Generated Node #3: [29, 28] from Operation: 95-67=28 Current State: 57:[29, 28], Operations: ['24+5=29', '95-67=28'] Exploring Operation: 29+28=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 19, 49, 10, 99 ]
57
[ "99-19=80", "80/10=8", "49+8=57" ]
Current State: 57:[19, 49, 10, 99], Operations: [] Exploring Operation: 99-19=80, Resulting Numbers: [49, 10, 80] Generated Node #2: [49, 10, 80] from Operation: 99-19=80 Current State: 57:[49, 10, 80], Operations: ['99-19=80'] Exploring Operation: 80/10=8, Resulting Numbers: [49, 8] Generated Node #3: [49, 8] from Operation: 80/10=8 Current State: 57:[49, 8], Operations: ['99-19=80', '80/10=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 20, 48, 33, 95 ]
19
[ "48-20=28", "33-28=5", "95/5=19" ]
Current State: 19:[20, 48, 33, 95], Operations: [] Exploring Operation: 48-20=28, Resulting Numbers: [33, 95, 28] Generated Node #2: [33, 95, 28] from Operation: 48-20=28 Current State: 19:[33, 95, 28], Operations: ['48-20=28'] Exploring Operation: 33-28=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 33-28=5 Current State: 19:[95, 5], Operations: ['48-20=28', '33-28=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 86, 60, 92 ]
71
[ "86-47=39", "92-60=32", "39+32=71" ]
Current State: 71:[47, 86, 60, 92], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [60, 92, 39] Generated Node #2: [60, 92, 39] from Operation: 86-47=39 Current State: 71:[60, 92, 39], Operations: ['86-47=39'] Exploring Operation: 92-60=32, Resulting Numbers: [39, 32] Generated Node #3: [39, 32] from Operation: 92-60=32 Current State: 71:[39, 32], Operations: ['86-47=39', '92-60=32'] Exploring Operation: 39+32=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 61, 14, 7, 64 ]
67
[ "14/7=2", "64*2=128", "128-61=67" ]
Current State: 67:[61, 14, 7, 64], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [61, 64, 2] Generated Node #2: [61, 64, 2] from Operation: 14/7=2 Current State: 67:[61, 64, 2], Operations: ['14/7=2'] Exploring Operation: 64*2=128, Resulting Numbers: [61, 128] Generated Node #3: [61, 128] from Operation: 64*2=128 Current State: 67:[61, 128], Operations: ['14/7=2', '64*2=128'] Exploring Operation: 128-61=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 78, 5, 93, 5 ]
50
[ "78+5=83", "93-83=10", "5*10=50" ]
Current State: 50:[78, 5, 93, 5], Operations: [] Exploring Operation: 78+5=83, Resulting Numbers: [93, 83] Generated Node #2: [93, 83] from Operation: 78+5=83 Current State: 50:[93, 83], Operations: ['78+5=83'] Exploring Operation: 93-83=10, Resulting Numbers: [10] 10,50 equal: Goal Reached Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4