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
[ 37, 79, 58, 80 ]
94
[ "37+79=116", "80-58=22", "116-22=94" ]
Current State: 94:[37, 79, 58, 80], Operations: [] Exploring Operation: 37+79=116, Resulting Numbers: [58, 80, 116] Generated Node #2: [58, 80, 116] from Operation: 37+79=116 Current State: 94:[58, 80, 116], Operations: ['37+79=116'] Exploring Operation: 80-58=22, Resulting Numbers: [116, 22] Generated Node #3: [116, 22] from Operation: 80-58=22 Current State: 94:[116, 22], Operations: ['37+79=116', '80-58=22'] Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 73, 6, 45, 50 ]
93
[ "73-50=23", "6*23=138", "138-45=93" ]
Current State: 93:[73, 6, 45, 50], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [6, 45, 23] Generated Node #2: [6, 45, 23] from Operation: 73-50=23 Current State: 93:[6, 45, 23], Operations: ['73-50=23'] Exploring Operation: 6*23=138, Resulting Numbers: [45, 138] Generated Node #3: [45, 138] from Operation: 6*23=138 Current State: 93:[45, 138], Operations: ['73-50=23', '6*23=138'] Exploring Operation: 138-45=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 52, 50, 6 ]
72
[ "50*6=300", "300/15=20", "52+20=72" ]
Current State: 72:[15, 52, 50, 6], Operations: [] Exploring Operation: 50*6=300, Resulting Numbers: [15, 52, 300] Generated Node #2: [15, 52, 300] from Operation: 50*6=300 Current State: 72:[15, 52, 300], Operations: ['50*6=300'] Exploring Operation: 300/15=20, Resulting Numbers: [52, 20] Generated Node #3: [52, 20] from Operation: 300/15=20 Current State: 72:[52, 20], Operations: ['50*6=300', '300/15=20'] Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 39, 27, 16 ]
49
[ "39+27=66", "66/2=33", "16+33=49" ]
Current State: 49:[2, 39, 27, 16], Operations: [] Exploring Operation: 39+27=66, Resulting Numbers: [2, 16, 66] Generated Node #2: [2, 16, 66] from Operation: 39+27=66 Current State: 49:[2, 16, 66], Operations: ['39+27=66'] Exploring Operation: 66/2=33, Resulting Numbers: [16, 33] Generated Node #3: [16, 33] from Operation: 66/2=33 Current State: 49:[16, 33], Operations: ['39+27=66', '66/2=33'] Exploring Operation: 16+33=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 40, 26, 54, 29 ]
69
[ "40-26=14", "54+29=83", "83-14=69" ]
Current State: 69:[40, 26, 54, 29], Operations: [] Exploring Operation: 40-26=14, Resulting Numbers: [54, 29, 14] Generated Node #2: [54, 29, 14] from Operation: 40-26=14 Current State: 69:[54, 29, 14], Operations: ['40-26=14'] Exploring Operation: 54+29=83, Resulting Numbers: [14, 83] Generated Node #3: [14, 83] from Operation: 54+29=83 Current State: 69:[14, 83], Operations: ['40-26=14', '54+29=83'] Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 66, 22, 25, 27 ]
49
[ "66/22=3", "25+27=52", "52-3=49" ]
Current State: 49:[66, 22, 25, 27], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [25, 27, 3] Generated Node #2: [25, 27, 3] from Operation: 66/22=3 Current State: 49:[25, 27, 3], Operations: ['66/22=3'] Exploring Operation: 25+27=52, Resulting Numbers: [3, 52] Generated Node #3: [3, 52] from Operation: 25+27=52 Current State: 49:[3, 52], Operations: ['66/22=3', '25+27=52'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 35, 77, 45 ]
85
[ "18+35=53", "77-45=32", "53+32=85" ]
Current State: 85:[18, 35, 77, 45], Operations: [] Exploring Operation: 18+35=53, Resulting Numbers: [77, 45, 53] Generated Node #2: [77, 45, 53] from Operation: 18+35=53 Current State: 85:[77, 45, 53], Operations: ['18+35=53'] Exploring Operation: 77-45=32, Resulting Numbers: [53, 32] Generated Node #3: [53, 32] from Operation: 77-45=32 Current State: 85:[53, 32], Operations: ['18+35=53', '77-45=32'] Exploring Operation: 53+32=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 27, 91, 7, 7 ]
91
[ "27*7=189", "91+7=98", "189-98=91" ]
Current State: 91:[27, 91, 7, 7], Operations: [] Exploring Operation: 27*7=189, Resulting Numbers: [91, 189] Generated Node #2: [91, 189] from Operation: 27*7=189 Current State: 91:[91, 189], Operations: ['27*7=189'] Exploring Operation: 91+7=98, Resulting Numbers: [189, 98] Generated Node #3: [189, 98] from Operation: 91+7=98 Current State: 91:[189, 98], Operations: ['27*7=189', '91+7=98'] Exploring Operation: 189-98=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 97, 3, 91, 97 ]
88
[ "97+3=100", "91+97=188", "188-100=88" ]
Current State: 88:[97, 3, 91, 97], Operations: [] Exploring Operation: 97+3=100, Resulting Numbers: [91, 100] Generated Node #2: [91, 100] from Operation: 97+3=100 Current State: 88:[91, 100], Operations: ['97+3=100'] Exploring Operation: 91+97=188, Resulting Numbers: [100, 188] Generated Node #3: [100, 188] from Operation: 91+97=188 Current State: 88:[100, 188], Operations: ['97+3=100', '91+97=188'] Exploring Operation: 188-100=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 22, 3, 2 ]
71
[ "10/2=5", "22*3=66", "5+66=71" ]
Current State: 71:[10, 22, 3, 2], Operations: [] Exploring Operation: 10/2=5, Resulting Numbers: [22, 3, 5] Generated Node #2: [22, 3, 5] from Operation: 10/2=5 Current State: 71:[22, 3, 5], Operations: ['10/2=5'] Exploring Operation: 22*3=66, Resulting Numbers: [5, 66] Generated Node #3: [5, 66] from Operation: 22*3=66 Current State: 71:[5, 66], Operations: ['10/2=5', '22*3=66'] Exploring Operation: 5+66=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 90, 93, 53, 84 ]
28
[ "93-90=3", "84-53=31", "31-3=28" ]
Current State: 28:[90, 93, 53, 84], Operations: [] Exploring Operation: 93-90=3, Resulting Numbers: [53, 84, 3] Generated Node #2: [53, 84, 3] from Operation: 93-90=3 Current State: 28:[53, 84, 3], Operations: ['93-90=3'] Exploring Operation: 84-53=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 84-53=31 Current State: 28:[3, 31], Operations: ['93-90=3', '84-53=31'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 80, 19, 80, 97 ]
40
[ "80+19=99", "99-97=2", "80/2=40" ]
Current State: 40:[80, 19, 80, 97], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [97, 99] Generated Node #2: [97, 99] from Operation: 80+19=99 Current State: 40:[97, 99], Operations: ['80+19=99'] Exploring Operation: 99-97=2, Resulting Numbers: [2] 2,40 equal: Goal Reached Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 94, 94, 64, 49 ]
49
[ "94-94=0", "64*0=0", "49+0=49" ]
Current State: 49:[94, 94, 64, 49], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [64, 49, 0] Generated Node #2: [64, 49, 0] from Operation: 94-94=0 Current State: 49:[64, 49, 0], Operations: ['94-94=0'] Exploring Operation: 64*0=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 64*0=0 Current State: 49:[49, 0], Operations: ['94-94=0', '64*0=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 54, 55, 64, 7 ]
56
[ "55-54=1", "64-7=57", "57-1=56" ]
Current State: 56:[54, 55, 64, 7], Operations: [] Exploring Operation: 55-54=1, Resulting Numbers: [64, 7, 1] Generated Node #2: [64, 7, 1] from Operation: 55-54=1 Current State: 56:[64, 7, 1], Operations: ['55-54=1'] Exploring Operation: 64-7=57, Resulting Numbers: [1, 57] Generated Node #3: [1, 57] from Operation: 64-7=57 Current State: 56:[1, 57], Operations: ['55-54=1', '64-7=57'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 30, 20, 33, 52 ]
95
[ "30-20=10", "33+52=85", "10+85=95" ]
Current State: 95:[30, 20, 33, 52], Operations: [] Exploring Operation: 30-20=10, Resulting Numbers: [33, 52, 10] Generated Node #2: [33, 52, 10] from Operation: 30-20=10 Current State: 95:[33, 52, 10], Operations: ['30-20=10'] Exploring Operation: 33+52=85, Resulting Numbers: [10, 85] Generated Node #3: [10, 85] from Operation: 33+52=85 Current State: 95:[10, 85], Operations: ['30-20=10', '33+52=85'] Exploring Operation: 10+85=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 11, 40, 28, 22 ]
52
[ "22/11=2", "40*2=80", "80-28=52" ]
Current State: 52:[11, 40, 28, 22], Operations: [] Exploring Operation: 22/11=2, Resulting Numbers: [40, 28, 2] Generated Node #2: [40, 28, 2] from Operation: 22/11=2 Current State: 52:[40, 28, 2], Operations: ['22/11=2'] Exploring Operation: 40*2=80, Resulting Numbers: [28, 80] Generated Node #3: [28, 80] from Operation: 40*2=80 Current State: 52:[28, 80], Operations: ['22/11=2', '40*2=80'] Exploring Operation: 80-28=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 3, 23, 30, 58 ]
97
[ "3*23=69", "58-30=28", "69+28=97" ]
Current State: 97:[3, 23, 30, 58], Operations: [] Exploring Operation: 3*23=69, Resulting Numbers: [30, 58, 69] Generated Node #2: [30, 58, 69] from Operation: 3*23=69 Current State: 97:[30, 58, 69], Operations: ['3*23=69'] Exploring Operation: 58-30=28, Resulting Numbers: [69, 28] Generated Node #3: [69, 28] from Operation: 58-30=28 Current State: 97:[69, 28], Operations: ['3*23=69', '58-30=28'] Exploring Operation: 69+28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 53, 6, 29 ]
86
[ "5*29=145", "53+6=59", "145-59=86" ]
Current State: 86:[5, 53, 6, 29], Operations: [] Exploring Operation: 5*29=145, Resulting Numbers: [53, 6, 145] Generated Node #2: [53, 6, 145] from Operation: 5*29=145 Current State: 86:[53, 6, 145], Operations: ['5*29=145'] Exploring Operation: 53+6=59, Resulting Numbers: [145, 59] Generated Node #3: [145, 59] from Operation: 53+6=59 Current State: 86:[145, 59], Operations: ['5*29=145', '53+6=59'] Exploring Operation: 145-59=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 88, 49, 26 ]
57
[ "88*26=2288", "49+2288=2337", "2337/41=57" ]
Current State: 57:[41, 88, 49, 26], Operations: [] Exploring Operation: 88*26=2288, Resulting Numbers: [41, 49, 2288] Generated Node #2: [41, 49, 2288] from Operation: 88*26=2288 Current State: 57:[41, 49, 2288], Operations: ['88*26=2288'] Exploring Operation: 49+2288=2337, Resulting Numbers: [41, 2337] Generated Node #3: [41, 2337] from Operation: 49+2288=2337 Current State: 57:[41, 2337], Operations: ['88*26=2288', '49+2288=2337'] Exploring Operation: 2337/41=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 6, 44, 18, 21 ]
43
[ "6*18=108", "44+21=65", "108-65=43" ]
Current State: 43:[6, 44, 18, 21], Operations: [] Exploring Operation: 6*18=108, Resulting Numbers: [44, 21, 108] Generated Node #2: [44, 21, 108] from Operation: 6*18=108 Current State: 43:[44, 21, 108], Operations: ['6*18=108'] Exploring Operation: 44+21=65, Resulting Numbers: [108, 65] Generated Node #3: [108, 65] from Operation: 44+21=65 Current State: 43:[108, 65], Operations: ['6*18=108', '44+21=65'] Exploring Operation: 108-65=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 38, 73, 43 ]
81
[ "38-3=35", "73+43=116", "116-35=81" ]
Current State: 81:[3, 38, 73, 43], Operations: [] Exploring Operation: 38-3=35, Resulting Numbers: [73, 43, 35] Generated Node #2: [73, 43, 35] from Operation: 38-3=35 Current State: 81:[73, 43, 35], Operations: ['38-3=35'] Exploring Operation: 73+43=116, Resulting Numbers: [35, 116] Generated Node #3: [35, 116] from Operation: 73+43=116 Current State: 81:[35, 116], Operations: ['38-3=35', '73+43=116'] Exploring Operation: 116-35=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 32, 43, 34, 35 ]
30
[ "43-35=8", "32/8=4", "34-4=30" ]
Current State: 30:[32, 43, 34, 35], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [32, 34, 8] Generated Node #2: [32, 34, 8] from Operation: 43-35=8 Current State: 30:[32, 34, 8], Operations: ['43-35=8'] Exploring Operation: 32/8=4, Resulting Numbers: [34, 4] Generated Node #3: [34, 4] from Operation: 32/8=4 Current State: 30:[34, 4], Operations: ['43-35=8', '32/8=4'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 45, 42, 78, 27 ]
54
[ "45-42=3", "78-27=51", "3+51=54" ]
Current State: 54:[45, 42, 78, 27], Operations: [] Exploring Operation: 45-42=3, Resulting Numbers: [78, 27, 3] Generated Node #2: [78, 27, 3] from Operation: 45-42=3 Current State: 54:[78, 27, 3], Operations: ['45-42=3'] Exploring Operation: 78-27=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 78-27=51 Current State: 54:[3, 51], Operations: ['45-42=3', '78-27=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 89, 13, 35 ]
99
[ "4*89=356", "13*35=455", "455-356=99" ]
Current State: 99:[4, 89, 13, 35], Operations: [] Exploring Operation: 4*89=356, Resulting Numbers: [13, 35, 356] Generated Node #2: [13, 35, 356] from Operation: 4*89=356 Current State: 99:[13, 35, 356], Operations: ['4*89=356'] Exploring Operation: 13*35=455, Resulting Numbers: [356, 455] Generated Node #3: [356, 455] from Operation: 13*35=455 Current State: 99:[356, 455], Operations: ['4*89=356', '13*35=455'] Exploring Operation: 455-356=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 79, 73, 81, 33 ]
14
[ "79+33=112", "81-73=8", "112/8=14" ]
Current State: 14:[79, 73, 81, 33], Operations: [] Exploring Operation: 79+33=112, Resulting Numbers: [73, 81, 112] Generated Node #2: [73, 81, 112] from Operation: 79+33=112 Current State: 14:[73, 81, 112], Operations: ['79+33=112'] Exploring Operation: 81-73=8, Resulting Numbers: [112, 8] Generated Node #3: [112, 8] from Operation: 81-73=8 Current State: 14:[112, 8], Operations: ['79+33=112', '81-73=8'] Exploring Operation: 112/8=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 13, 92, 78, 81 ]
81
[ "92-13=79", "79-78=1", "81*1=81" ]
Current State: 81:[13, 92, 78, 81], Operations: [] Exploring Operation: 92-13=79, Resulting Numbers: [78, 81, 79] Generated Node #2: [78, 81, 79] from Operation: 92-13=79 Current State: 81:[78, 81, 79], Operations: ['92-13=79'] Exploring Operation: 79-78=1, Resulting Numbers: [81, 1] Generated Node #3: [81, 1] from Operation: 79-78=1 Current State: 81:[81, 1], Operations: ['92-13=79', '79-78=1'] Exploring Operation: 81*1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 68, 41, 74, 38 ]
63
[ "68-41=27", "74-38=36", "27+36=63" ]
Current State: 63:[68, 41, 74, 38], Operations: [] Exploring Operation: 68-41=27, Resulting Numbers: [74, 38, 27] Generated Node #2: [74, 38, 27] from Operation: 68-41=27 Current State: 63:[74, 38, 27], Operations: ['68-41=27'] Exploring Operation: 74-38=36, Resulting Numbers: [27, 36] Generated Node #3: [27, 36] from Operation: 74-38=36 Current State: 63:[27, 36], Operations: ['68-41=27', '74-38=36'] Exploring Operation: 27+36=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 75, 37, 61, 42 ]
70
[ "75-61=14", "42-37=5", "14*5=70" ]
Current State: 70:[75, 37, 61, 42], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [37, 42, 14] Generated Node #2: [37, 42, 14] from Operation: 75-61=14 Current State: 70:[37, 42, 14], Operations: ['75-61=14'] Exploring Operation: 42-37=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 42-37=5 Current State: 70:[14, 5], Operations: ['75-61=14', '42-37=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 33, 2, 27, 54 ]
15
[ "33*2=66", "27+54=81", "81-66=15" ]
Current State: 15:[33, 2, 27, 54], Operations: [] Exploring Operation: 33*2=66, Resulting Numbers: [27, 54, 66] Generated Node #2: [27, 54, 66] from Operation: 33*2=66 Current State: 15:[27, 54, 66], Operations: ['33*2=66'] Exploring Operation: 27+54=81, Resulting Numbers: [66, 81] Generated Node #3: [66, 81] from Operation: 27+54=81 Current State: 15:[66, 81], Operations: ['33*2=66', '27+54=81'] Exploring Operation: 81-66=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 16, 36, 40, 59 ]
63
[ "40-36=4", "16/4=4", "59+4=63" ]
Current State: 63:[16, 36, 40, 59], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [16, 59, 4] Generated Node #2: [16, 59, 4] from Operation: 40-36=4 Current State: 63:[16, 59, 4], Operations: ['40-36=4'] Exploring Operation: 16/4=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 16/4=4 Current State: 63:[59, 4], Operations: ['40-36=4', '16/4=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 85, 6, 94, 86 ]
37
[ "94-86=8", "6*8=48", "85-48=37" ]
Current State: 37:[85, 6, 94, 86], Operations: [] Exploring Operation: 94-86=8, Resulting Numbers: [85, 6, 8] Generated Node #2: [85, 6, 8] from Operation: 94-86=8 Current State: 37:[85, 6, 8], Operations: ['94-86=8'] Exploring Operation: 6*8=48, Resulting Numbers: [85, 48] Generated Node #3: [85, 48] from Operation: 6*8=48 Current State: 37:[85, 48], Operations: ['94-86=8', '6*8=48'] Exploring Operation: 85-48=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 43, 60, 23, 44 ]
83
[ "44-43=1", "60+23=83", "1*83=83" ]
Current State: 83:[43, 60, 23, 44], Operations: [] Exploring Operation: 44-43=1, Resulting Numbers: [60, 23, 1] Generated Node #2: [60, 23, 1] from Operation: 44-43=1 Current State: 83:[60, 23, 1], Operations: ['44-43=1'] Exploring Operation: 60+23=83, Resulting Numbers: [1, 83] Generated Node #3: [1, 83] from Operation: 60+23=83 Current State: 83:[1, 83], Operations: ['44-43=1', '60+23=83'] Exploring Operation: 1*83=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 44, 92, 32, 82 ]
86
[ "44+92=136", "82-32=50", "136-50=86" ]
Current State: 86:[44, 92, 32, 82], Operations: [] Exploring Operation: 44+92=136, Resulting Numbers: [32, 82, 136] Generated Node #2: [32, 82, 136] from Operation: 44+92=136 Current State: 86:[32, 82, 136], Operations: ['44+92=136'] Exploring Operation: 82-32=50, Resulting Numbers: [136, 50] Generated Node #3: [136, 50] from Operation: 82-32=50 Current State: 86:[136, 50], Operations: ['44+92=136', '82-32=50'] Exploring Operation: 136-50=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 79, 2, 41, 43 ]
83
[ "79+2=81", "43-41=2", "81+2=83" ]
Current State: 83:[79, 2, 41, 43], Operations: [] Exploring Operation: 79+2=81, Resulting Numbers: [41, 43, 81] Generated Node #2: [41, 43, 81] from Operation: 79+2=81 Current State: 83:[41, 43, 81], Operations: ['79+2=81'] Exploring Operation: 43-41=2, Resulting Numbers: [81, 2] Generated Node #3: [81, 2] from Operation: 43-41=2 Current State: 83:[81, 2], Operations: ['79+2=81', '43-41=2'] Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 4, 55, 95 ]
56
[ "91+4=95", "95/95=1", "55+1=56" ]
Current State: 56:[91, 4, 55, 95], Operations: [] Exploring Operation: 91+4=95, Resulting Numbers: [55, 95, 95] Generated Node #2: [55, 95, 95] from Operation: 91+4=95 Current State: 56:[55, 95, 95], Operations: ['91+4=95'] Exploring Operation: 95/95=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 95/95=1 Current State: 56:[55, 1], Operations: ['91+4=95', '95/95=1'] Exploring Operation: 55+1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 85, 42, 5, 72 ]
60
[ "85+42=127", "72-5=67", "127-67=60" ]
Current State: 60:[85, 42, 5, 72], Operations: [] Exploring Operation: 85+42=127, Resulting Numbers: [5, 72, 127] Generated Node #2: [5, 72, 127] from Operation: 85+42=127 Current State: 60:[5, 72, 127], Operations: ['85+42=127'] Exploring Operation: 72-5=67, Resulting Numbers: [127, 67] Generated Node #3: [127, 67] from Operation: 72-5=67 Current State: 60:[127, 67], Operations: ['85+42=127', '72-5=67'] Exploring Operation: 127-67=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 35, 29, 62, 45 ]
81
[ "35+29=64", "62-45=17", "64+17=81" ]
Current State: 81:[35, 29, 62, 45], Operations: [] Exploring Operation: 35+29=64, Resulting Numbers: [62, 45, 64] Generated Node #2: [62, 45, 64] from Operation: 35+29=64 Current State: 81:[62, 45, 64], Operations: ['35+29=64'] Exploring Operation: 62-45=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 62-45=17 Current State: 81:[64, 17], Operations: ['35+29=64', '62-45=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 5, 27, 69 ]
14
[ "23+5=28", "69-27=42", "42-28=14" ]
Current State: 14:[23, 5, 27, 69], Operations: [] Exploring Operation: 23+5=28, Resulting Numbers: [27, 69, 28] Generated Node #2: [27, 69, 28] from Operation: 23+5=28 Current State: 14:[27, 69, 28], Operations: ['23+5=28'] Exploring Operation: 69-27=42, Resulting Numbers: [28, 42] Generated Node #3: [28, 42] from Operation: 69-27=42 Current State: 14:[28, 42], Operations: ['23+5=28', '69-27=42'] Exploring Operation: 42-28=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 24, 74, 71, 91 ]
78
[ "24+74=98", "91-71=20", "98-20=78" ]
Current State: 78:[24, 74, 71, 91], Operations: [] Exploring Operation: 24+74=98, Resulting Numbers: [71, 91, 98] Generated Node #2: [71, 91, 98] from Operation: 24+74=98 Current State: 78:[71, 91, 98], Operations: ['24+74=98'] Exploring Operation: 91-71=20, Resulting Numbers: [98, 20] Generated Node #3: [98, 20] from Operation: 91-71=20 Current State: 78:[98, 20], Operations: ['24+74=98', '91-71=20'] Exploring Operation: 98-20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 73, 17, 68, 85 ]
16
[ "85-73=12", "68/17=4", "12+4=16" ]
Current State: 16:[73, 17, 68, 85], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [17, 68, 12] Generated Node #2: [17, 68, 12] from Operation: 85-73=12 Current State: 16:[17, 68, 12], Operations: ['85-73=12'] Exploring Operation: 68/17=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 68/17=4 Current State: 16:[12, 4], Operations: ['85-73=12', '68/17=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 41, 3, 99 ]
69
[ "81+41=122", "122-99=23", "3*23=69" ]
Current State: 69:[81, 41, 3, 99], Operations: [] Exploring Operation: 81+41=122, Resulting Numbers: [3, 99, 122] Generated Node #2: [3, 99, 122] from Operation: 81+41=122 Current State: 69:[3, 99, 122], Operations: ['81+41=122'] Exploring Operation: 122-99=23, Resulting Numbers: [3, 23] Generated Node #3: [3, 23] from Operation: 122-99=23 Current State: 69:[3, 23], Operations: ['81+41=122', '122-99=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 52, 4, 11, 61 ]
35
[ "61-52=9", "4*11=44", "44-9=35" ]
Current State: 35:[52, 4, 11, 61], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [4, 11, 9] Generated Node #2: [4, 11, 9] from Operation: 61-52=9 Current State: 35:[4, 11, 9], Operations: ['61-52=9'] Exploring Operation: 4*11=44, Resulting Numbers: [9, 44] Generated Node #3: [9, 44] from Operation: 4*11=44 Current State: 35:[9, 44], Operations: ['61-52=9', '4*11=44'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 76, 97, 11 ]
70
[ "97-76=21", "21-11=10", "7*10=70" ]
Current State: 70:[7, 76, 97, 11], Operations: [] Exploring Operation: 97-76=21, Resulting Numbers: [7, 11, 21] Generated Node #2: [7, 11, 21] from Operation: 97-76=21 Current State: 70:[7, 11, 21], Operations: ['97-76=21'] Exploring Operation: 21-11=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 21-11=10 Current State: 70:[7, 10], Operations: ['97-76=21', '21-11=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 55, 9, 45 ]
65
[ "55-9=46", "46-45=1", "65*1=65" ]
Current State: 65:[65, 55, 9, 45], Operations: [] Exploring Operation: 55-9=46, Resulting Numbers: [65, 45, 46] Generated Node #2: [65, 45, 46] from Operation: 55-9=46 Current State: 65:[65, 45, 46], Operations: ['55-9=46'] Exploring Operation: 46-45=1, Resulting Numbers: [65, 1] Generated Node #3: [65, 1] from Operation: 46-45=1 Current State: 65:[65, 1], Operations: ['55-9=46', '46-45=1'] Exploring Operation: 65*1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 24, 94, 99 ]
12
[ "3+94=97", "99-97=2", "24/2=12" ]
Current State: 12:[3, 24, 94, 99], Operations: [] Exploring Operation: 3+94=97, Resulting Numbers: [24, 99, 97] Generated Node #2: [24, 99, 97] from Operation: 3+94=97 Current State: 12:[24, 99, 97], Operations: ['3+94=97'] Exploring Operation: 99-97=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 99-97=2 Current State: 12:[24, 2], Operations: ['3+94=97', '99-97=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 9, 99, 29 ]
68
[ "18/9=2", "99-29=70", "70-2=68" ]
Current State: 68:[18, 9, 99, 29], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [99, 29, 2] Generated Node #2: [99, 29, 2] from Operation: 18/9=2 Current State: 68:[99, 29, 2], Operations: ['18/9=2'] Exploring Operation: 99-29=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 99-29=70 Current State: 68:[2, 70], Operations: ['18/9=2', '99-29=70'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 37, 20, 49, 87 ]
95
[ "37+20=57", "87-49=38", "57+38=95" ]
Current State: 95:[37, 20, 49, 87], Operations: [] Exploring Operation: 37+20=57, Resulting Numbers: [49, 87, 57] Generated Node #2: [49, 87, 57] from Operation: 37+20=57 Current State: 95:[49, 87, 57], Operations: ['37+20=57'] Exploring Operation: 87-49=38, Resulting Numbers: [57, 38] Generated Node #3: [57, 38] from Operation: 87-49=38 Current State: 95:[57, 38], Operations: ['37+20=57', '87-49=38'] Exploring Operation: 57+38=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 45, 14, 33 ]
13
[ "45-39=6", "33-14=19", "19-6=13" ]
Current State: 13:[39, 45, 14, 33], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [14, 33, 6] Generated Node #2: [14, 33, 6] from Operation: 45-39=6 Current State: 13:[14, 33, 6], Operations: ['45-39=6'] Exploring Operation: 33-14=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 33-14=19 Current State: 13:[6, 19], Operations: ['45-39=6', '33-14=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 25, 98, 53, 32 ]
12
[ "98-25=73", "53+32=85", "85-73=12" ]
Current State: 12:[25, 98, 53, 32], Operations: [] Exploring Operation: 98-25=73, Resulting Numbers: [53, 32, 73] Generated Node #2: [53, 32, 73] from Operation: 98-25=73 Current State: 12:[53, 32, 73], Operations: ['98-25=73'] Exploring Operation: 53+32=85, Resulting Numbers: [73, 85] Generated Node #3: [73, 85] from Operation: 53+32=85 Current State: 12:[73, 85], Operations: ['98-25=73', '53+32=85'] Exploring Operation: 85-73=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 32, 88, 82, 63 ]
89
[ "88-32=56", "82+63=145", "145-56=89" ]
Current State: 89:[32, 88, 82, 63], Operations: [] Exploring Operation: 88-32=56, Resulting Numbers: [82, 63, 56] Generated Node #2: [82, 63, 56] from Operation: 88-32=56 Current State: 89:[82, 63, 56], Operations: ['88-32=56'] Exploring Operation: 82+63=145, Resulting Numbers: [56, 145] Generated Node #3: [56, 145] from Operation: 82+63=145 Current State: 89:[56, 145], Operations: ['88-32=56', '82+63=145'] Exploring Operation: 145-56=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 61, 73, 43, 45 ]
49
[ "45-43=2", "61*2=122", "122-73=49" ]
Current State: 49:[61, 73, 43, 45], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [61, 73, 2] Generated Node #2: [61, 73, 2] from Operation: 45-43=2 Current State: 49:[61, 73, 2], Operations: ['45-43=2'] Exploring Operation: 61*2=122, Resulting Numbers: [73, 122] Generated Node #3: [73, 122] from Operation: 61*2=122 Current State: 49:[73, 122], Operations: ['45-43=2', '61*2=122'] Exploring Operation: 122-73=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 80, 26, 75, 37 ]
58
[ "80-26=54", "75+37=112", "112-54=58" ]
Current State: 58:[80, 26, 75, 37], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [75, 37, 54] Generated Node #2: [75, 37, 54] from Operation: 80-26=54 Current State: 58:[75, 37, 54], Operations: ['80-26=54'] Exploring Operation: 75+37=112, Resulting Numbers: [54, 112] Generated Node #3: [54, 112] from Operation: 75+37=112 Current State: 58:[54, 112], Operations: ['80-26=54', '75+37=112'] Exploring Operation: 112-54=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 10, 95, 23 ]
90
[ "73-23=50", "50/10=5", "95-5=90" ]
Current State: 90:[73, 10, 95, 23], Operations: [] Exploring Operation: 73-23=50, Resulting Numbers: [10, 95, 50] Generated Node #2: [10, 95, 50] from Operation: 73-23=50 Current State: 90:[10, 95, 50], Operations: ['73-23=50'] Exploring Operation: 50/10=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 50/10=5 Current State: 90:[95, 5], Operations: ['73-23=50', '50/10=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 12, 6, 48, 11 ]
76
[ "48/6=8", "11*8=88", "88-12=76" ]
Current State: 76:[12, 6, 48, 11], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [12, 11, 8] Generated Node #2: [12, 11, 8] from Operation: 48/6=8 Current State: 76:[12, 11, 8], Operations: ['48/6=8'] Exploring Operation: 11*8=88, Resulting Numbers: [12, 88] Generated Node #3: [12, 88] from Operation: 11*8=88 Current State: 76:[12, 88], Operations: ['48/6=8', '11*8=88'] Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 52, 1, 47 ]
99
[ "2-1=1", "52+47=99", "1*99=99" ]
Current State: 99:[2, 52, 1, 47], Operations: [] Exploring Operation: 2-1=1, Resulting Numbers: [52, 47, 1] Generated Node #2: [52, 47, 1] from Operation: 2-1=1 Current State: 99:[52, 47, 1], Operations: ['2-1=1'] Exploring Operation: 52+47=99, Resulting Numbers: [1, 99] Generated Node #3: [1, 99] from Operation: 52+47=99 Current State: 99:[1, 99], Operations: ['2-1=1', '52+47=99'] Exploring Operation: 1*99=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 90, 54, 96, 69 ]
46
[ "90+54=144", "96*69=6624", "6624/144=46" ]
Current State: 46:[90, 54, 96, 69], Operations: [] Exploring Operation: 90+54=144, Resulting Numbers: [96, 69, 144] Generated Node #2: [96, 69, 144] from Operation: 90+54=144 Current State: 46:[96, 69, 144], Operations: ['90+54=144'] Exploring Operation: 96*69=6624, Resulting Numbers: [144, 6624] Generated Node #3: [144, 6624] from Operation: 96*69=6624 Current State: 46:[144, 6624], Operations: ['90+54=144', '96*69=6624'] Exploring Operation: 6624/144=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 83, 99, 45 ]
56
[ "99-45=54", "54/2=27", "83-27=56" ]
Current State: 56:[2, 83, 99, 45], Operations: [] Exploring Operation: 99-45=54, Resulting Numbers: [2, 83, 54] Generated Node #2: [2, 83, 54] from Operation: 99-45=54 Current State: 56:[2, 83, 54], Operations: ['99-45=54'] Exploring Operation: 54/2=27, Resulting Numbers: [83, 27] Generated Node #3: [83, 27] from Operation: 54/2=27 Current State: 56:[83, 27], Operations: ['99-45=54', '54/2=27'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 76, 2, 56 ]
95
[ "72-2=70", "76*70=5320", "5320/56=95" ]
Current State: 95:[72, 76, 2, 56], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [76, 56, 70] Generated Node #2: [76, 56, 70] from Operation: 72-2=70 Current State: 95:[76, 56, 70], Operations: ['72-2=70'] Exploring Operation: 76*70=5320, Resulting Numbers: [56, 5320] Generated Node #3: [56, 5320] from Operation: 76*70=5320 Current State: 95:[56, 5320], Operations: ['72-2=70', '76*70=5320'] Exploring Operation: 5320/56=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 51, 96, 84 ]
93
[ "96-84=12", "12*12=144", "144-51=93" ]
Current State: 93:[12, 51, 96, 84], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [12, 51, 12] Generated Node #2: [12, 51, 12] from Operation: 96-84=12 Current State: 93:[12, 51, 12], Operations: ['96-84=12'] Exploring Operation: 12*12=144, Resulting Numbers: [51, 144] Generated Node #3: [51, 144] from Operation: 12*12=144 Current State: 93:[51, 144], Operations: ['96-84=12', '12*12=144'] Exploring Operation: 144-51=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 43, 24, 71 ]
45
[ "7+43=50", "24+71=95", "95-50=45" ]
Current State: 45:[7, 43, 24, 71], Operations: [] Exploring Operation: 7+43=50, Resulting Numbers: [24, 71, 50] Generated Node #2: [24, 71, 50] from Operation: 7+43=50 Current State: 45:[24, 71, 50], Operations: ['7+43=50'] Exploring Operation: 24+71=95, Resulting Numbers: [50, 95] Generated Node #3: [50, 95] from Operation: 24+71=95 Current State: 45:[50, 95], Operations: ['7+43=50', '24+71=95'] Exploring Operation: 95-50=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 56, 24, 26, 15 ]
82
[ "56-15=41", "26-24=2", "41*2=82" ]
Current State: 82:[56, 24, 26, 15], Operations: [] Exploring Operation: 56-15=41, Resulting Numbers: [24, 26, 41] Generated Node #2: [24, 26, 41] from Operation: 56-15=41 Current State: 82:[24, 26, 41], Operations: ['56-15=41'] Exploring Operation: 26-24=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 26-24=2 Current State: 82:[41, 2], Operations: ['56-15=41', '26-24=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 25, 19, 50 ]
74
[ "57+19=76", "50/25=2", "76-2=74" ]
Current State: 74:[57, 25, 19, 50], Operations: [] Exploring Operation: 57+19=76, Resulting Numbers: [25, 50, 76] Generated Node #2: [25, 50, 76] from Operation: 57+19=76 Current State: 74:[25, 50, 76], Operations: ['57+19=76'] Exploring Operation: 50/25=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 50/25=2 Current State: 74:[76, 2], Operations: ['57+19=76', '50/25=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 71, 11, 42 ]
13
[ "13+71=84", "84/42=2", "11+2=13" ]
Current State: 13:[13, 71, 11, 42], Operations: [] Exploring Operation: 13+71=84, Resulting Numbers: [11, 42, 84] Generated Node #2: [11, 42, 84] from Operation: 13+71=84 Current State: 13:[11, 42, 84], Operations: ['13+71=84'] Exploring Operation: 84/42=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 84/42=2 Current State: 13:[11, 2], Operations: ['13+71=84', '84/42=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 73, 63, 78, 19 ]
87
[ "73-63=10", "78+19=97", "97-10=87" ]
Current State: 87:[73, 63, 78, 19], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [78, 19, 10] Generated Node #2: [78, 19, 10] from Operation: 73-63=10 Current State: 87:[78, 19, 10], Operations: ['73-63=10'] Exploring Operation: 78+19=97, Resulting Numbers: [10, 97] Generated Node #3: [10, 97] from Operation: 78+19=97 Current State: 87:[10, 97], Operations: ['73-63=10', '78+19=97'] Exploring Operation: 97-10=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 78, 3, 48, 52 ]
25
[ "78-3=75", "48+52=100", "100-75=25" ]
Current State: 25:[78, 3, 48, 52], Operations: [] Exploring Operation: 78-3=75, Resulting Numbers: [48, 52, 75] Generated Node #2: [48, 52, 75] from Operation: 78-3=75 Current State: 25:[48, 52, 75], Operations: ['78-3=75'] Exploring Operation: 48+52=100, Resulting Numbers: [75, 100] Generated Node #3: [75, 100] from Operation: 48+52=100 Current State: 25:[75, 100], Operations: ['78-3=75', '48+52=100'] Exploring Operation: 100-75=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 94, 92, 9, 97 ]
11
[ "94-92=2", "97+2=99", "99/9=11" ]
Current State: 11:[94, 92, 9, 97], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [9, 97, 2] Generated Node #2: [9, 97, 2] from Operation: 94-92=2 Current State: 11:[9, 97, 2], Operations: ['94-92=2'] Exploring Operation: 97+2=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 97+2=99 Current State: 11:[9, 99], Operations: ['94-92=2', '97+2=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 58, 43, 11, 56 ]
65
[ "58-56=2", "11*2=22", "43+22=65" ]
Current State: 65:[58, 43, 11, 56], Operations: [] Exploring Operation: 58-56=2, Resulting Numbers: [43, 11, 2] Generated Node #2: [43, 11, 2] from Operation: 58-56=2 Current State: 65:[43, 11, 2], Operations: ['58-56=2'] Exploring Operation: 11*2=22, Resulting Numbers: [43, 22] Generated Node #3: [43, 22] from Operation: 11*2=22 Current State: 65:[43, 22], Operations: ['58-56=2', '11*2=22'] Exploring Operation: 43+22=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 98, 23, 37, 51 ]
33
[ "98+23=121", "37+51=88", "121-88=33" ]
Current State: 33:[98, 23, 37, 51], Operations: [] Exploring Operation: 98+23=121, Resulting Numbers: [37, 51, 121] Generated Node #2: [37, 51, 121] from Operation: 98+23=121 Current State: 33:[37, 51, 121], Operations: ['98+23=121'] Exploring Operation: 37+51=88, Resulting Numbers: [121, 88] Generated Node #3: [121, 88] from Operation: 37+51=88 Current State: 33:[121, 88], Operations: ['98+23=121', '37+51=88'] Exploring Operation: 121-88=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 81, 16, 8 ]
40
[ "81-16=65", "65/13=5", "8*5=40" ]
Current State: 40:[13, 81, 16, 8], Operations: [] Exploring Operation: 81-16=65, Resulting Numbers: [13, 8, 65] Generated Node #2: [13, 8, 65] from Operation: 81-16=65 Current State: 40:[13, 8, 65], Operations: ['81-16=65'] Exploring Operation: 65/13=5, Resulting Numbers: [8, 5] Generated Node #3: [8, 5] from Operation: 65/13=5 Current State: 40:[8, 5], Operations: ['81-16=65', '65/13=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 24, 30, 11, 2 ]
64
[ "30-24=6", "11*6=66", "66-2=64" ]
Current State: 64:[24, 30, 11, 2], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [11, 2, 6] Generated Node #2: [11, 2, 6] from Operation: 30-24=6 Current State: 64:[11, 2, 6], Operations: ['30-24=6'] Exploring Operation: 11*6=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 11*6=66 Current State: 64:[2, 66], Operations: ['30-24=6', '11*6=66'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 49, 78, 84, 57 ]
56
[ "78-49=29", "84-57=27", "29+27=56" ]
Current State: 56:[49, 78, 84, 57], Operations: [] Exploring Operation: 78-49=29, Resulting Numbers: [84, 57, 29] Generated Node #2: [84, 57, 29] from Operation: 78-49=29 Current State: 56:[84, 57, 29], Operations: ['78-49=29'] Exploring Operation: 84-57=27, Resulting Numbers: [29, 27] Generated Node #3: [29, 27] from Operation: 84-57=27 Current State: 56:[29, 27], Operations: ['78-49=29', '84-57=27'] Exploring Operation: 29+27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 64, 84, 63, 51 ]
33
[ "64-63=1", "84-51=33", "1*33=33" ]
Current State: 33:[64, 84, 63, 51], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [84, 51, 1] Generated Node #2: [84, 51, 1] from Operation: 64-63=1 Current State: 33:[84, 51, 1], Operations: ['64-63=1'] Exploring Operation: 84-51=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 84-51=33 Current State: 33:[1, 33], Operations: ['64-63=1', '84-51=33'] Exploring Operation: 1*33=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 67, 3, 5 ]
73
[ "45*3=135", "67-5=62", "135-62=73" ]
Current State: 73:[45, 67, 3, 5], Operations: [] Exploring Operation: 45*3=135, Resulting Numbers: [67, 5, 135] Generated Node #2: [67, 5, 135] from Operation: 45*3=135 Current State: 73:[67, 5, 135], Operations: ['45*3=135'] Exploring Operation: 67-5=62, Resulting Numbers: [135, 62] Generated Node #3: [135, 62] from Operation: 67-5=62 Current State: 73:[135, 62], Operations: ['45*3=135', '67-5=62'] Exploring Operation: 135-62=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 14, 28, 61 ]
90
[ "61-16=45", "28/14=2", "45*2=90" ]
Current State: 90:[16, 14, 28, 61], Operations: [] Exploring Operation: 61-16=45, Resulting Numbers: [14, 28, 45] Generated Node #2: [14, 28, 45] from Operation: 61-16=45 Current State: 90:[14, 28, 45], Operations: ['61-16=45'] Exploring Operation: 28/14=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 28/14=2 Current State: 90:[45, 2], Operations: ['61-16=45', '28/14=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 70, 58, 63 ]
52
[ "58*63=3654", "3654-14=3640", "3640/70=52" ]
Current State: 52:[14, 70, 58, 63], Operations: [] Exploring Operation: 58*63=3654, Resulting Numbers: [14, 70, 3654] Generated Node #2: [14, 70, 3654] from Operation: 58*63=3654 Current State: 52:[14, 70, 3654], Operations: ['58*63=3654'] Exploring Operation: 3654-14=3640, Resulting Numbers: [70, 3640] Generated Node #3: [70, 3640] from Operation: 3654-14=3640 Current State: 52:[70, 3640], Operations: ['58*63=3654', '3654-14=3640'] Exploring Operation: 3640/70=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 75, 77, 78, 37 ]
37
[ "75+77=152", "78+37=115", "152-115=37" ]
Current State: 37:[75, 77, 78, 37], Operations: [] Exploring Operation: 75+77=152, Resulting Numbers: [78, 37, 152] Generated Node #2: [78, 37, 152] from Operation: 75+77=152 Current State: 37:[78, 37, 152], Operations: ['75+77=152'] Exploring Operation: 78+37=115, Resulting Numbers: [152, 115] Generated Node #3: [152, 115] from Operation: 78+37=115 Current State: 37:[152, 115], Operations: ['75+77=152', '78+37=115'] Exploring Operation: 152-115=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 92, 46, 47, 16 ]
78
[ "92/46=2", "47*2=94", "94-16=78" ]
Current State: 78:[92, 46, 47, 16], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [47, 16, 2] Generated Node #2: [47, 16, 2] from Operation: 92/46=2 Current State: 78:[47, 16, 2], Operations: ['92/46=2'] Exploring Operation: 47*2=94, Resulting Numbers: [16, 94] Generated Node #3: [16, 94] from Operation: 47*2=94 Current State: 78:[16, 94], Operations: ['92/46=2', '47*2=94'] Exploring Operation: 94-16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 88, 6, 9, 15 ]
70
[ "88+6=94", "9+15=24", "94-24=70" ]
Current State: 70:[88, 6, 9, 15], Operations: [] Exploring Operation: 88+6=94, Resulting Numbers: [9, 15, 94] Generated Node #2: [9, 15, 94] from Operation: 88+6=94 Current State: 70:[9, 15, 94], Operations: ['88+6=94'] Exploring Operation: 9+15=24, Resulting Numbers: [94, 24] Generated Node #3: [94, 24] from Operation: 9+15=24 Current State: 70:[94, 24], Operations: ['88+6=94', '9+15=24'] Exploring Operation: 94-24=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 68, 84, 88, 87 ]
60
[ "88-68=20", "87-84=3", "20*3=60" ]
Current State: 60:[68, 84, 88, 87], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [84, 87, 20] Generated Node #2: [84, 87, 20] from Operation: 88-68=20 Current State: 60:[84, 87, 20], Operations: ['88-68=20'] Exploring Operation: 87-84=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 87-84=3 Current State: 60:[20, 3], Operations: ['88-68=20', '87-84=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 45, 55, 79, 8 ]
29
[ "45+55=100", "79-8=71", "100-71=29" ]
Current State: 29:[45, 55, 79, 8], Operations: [] Exploring Operation: 45+55=100, Resulting Numbers: [79, 8, 100] Generated Node #2: [79, 8, 100] from Operation: 45+55=100 Current State: 29:[79, 8, 100], Operations: ['45+55=100'] Exploring Operation: 79-8=71, Resulting Numbers: [100, 71] Generated Node #3: [100, 71] from Operation: 79-8=71 Current State: 29:[100, 71], Operations: ['45+55=100', '79-8=71'] Exploring Operation: 100-71=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 70, 4, 50, 14 ]
75
[ "14-4=10", "50/10=5", "70+5=75" ]
Current State: 75:[70, 4, 50, 14], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [70, 50, 10] Generated Node #2: [70, 50, 10] from Operation: 14-4=10 Current State: 75:[70, 50, 10], Operations: ['14-4=10'] Exploring Operation: 50/10=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 50/10=5 Current State: 75:[70, 5], Operations: ['14-4=10', '50/10=5'] Exploring Operation: 70+5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 58, 98, 77 ]
64
[ "58-15=43", "98-77=21", "43+21=64" ]
Current State: 64:[15, 58, 98, 77], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [98, 77, 43] Generated Node #2: [98, 77, 43] from Operation: 58-15=43 Current State: 64:[98, 77, 43], Operations: ['58-15=43'] Exploring Operation: 98-77=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 98-77=21 Current State: 64:[43, 21], Operations: ['58-15=43', '98-77=21'] Exploring Operation: 43+21=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 71, 54, 73, 47 ]
14
[ "73-71=2", "54-47=7", "2*7=14" ]
Current State: 14:[71, 54, 73, 47], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [54, 47, 2] Generated Node #2: [54, 47, 2] from Operation: 73-71=2 Current State: 14:[54, 47, 2], Operations: ['73-71=2'] Exploring Operation: 54-47=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 54-47=7 Current State: 14:[2, 7], Operations: ['73-71=2', '54-47=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 30, 37, 6, 25 ]
28
[ "37-25=12", "12/6=2", "30-2=28" ]
Current State: 28:[30, 37, 6, 25], Operations: [] Exploring Operation: 37-25=12, Resulting Numbers: [30, 6, 12] Generated Node #2: [30, 6, 12] from Operation: 37-25=12 Current State: 28:[30, 6, 12], Operations: ['37-25=12'] Exploring Operation: 12/6=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 12/6=2 Current State: 28:[30, 2], Operations: ['37-25=12', '12/6=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 6, 93, 35, 6 ]
46
[ "93-6=87", "35+6=41", "87-41=46" ]
Current State: 46:[6, 93, 35, 6], Operations: [] Exploring Operation: 93-6=87, Resulting Numbers: [35, 87] Generated Node #2: [35, 87] from Operation: 93-6=87 Current State: 46:[35, 87], Operations: ['93-6=87'] Exploring Operation: 35+6=41, Resulting Numbers: [87, 41] Generated Node #3: [87, 41] from Operation: 35+6=41 Current State: 46:[87, 41], Operations: ['93-6=87', '35+6=41'] Exploring Operation: 87-41=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 73, 20, 32, 5 ]
66
[ "73+20=93", "32-5=27", "93-27=66" ]
Current State: 66:[73, 20, 32, 5], Operations: [] Exploring Operation: 73+20=93, Resulting Numbers: [32, 5, 93] Generated Node #2: [32, 5, 93] from Operation: 73+20=93 Current State: 66:[32, 5, 93], Operations: ['73+20=93'] Exploring Operation: 32-5=27, Resulting Numbers: [93, 27] Generated Node #3: [93, 27] from Operation: 32-5=27 Current State: 66:[93, 27], Operations: ['73+20=93', '32-5=27'] Exploring Operation: 93-27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 89, 70, 20, 82 ]
82
[ "89-70=19", "20-19=1", "82*1=82" ]
Current State: 82:[89, 70, 20, 82], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [20, 82, 19] Generated Node #2: [20, 82, 19] from Operation: 89-70=19 Current State: 82:[20, 82, 19], Operations: ['89-70=19'] Exploring Operation: 20-19=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 20-19=1 Current State: 82:[82, 1], Operations: ['89-70=19', '20-19=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 94, 83, 11, 39 ]
78
[ "94-39=55", "55/11=5", "83-5=78" ]
Current State: 78:[94, 83, 11, 39], Operations: [] Exploring Operation: 94-39=55, Resulting Numbers: [83, 11, 55] Generated Node #2: [83, 11, 55] from Operation: 94-39=55 Current State: 78:[83, 11, 55], Operations: ['94-39=55'] Exploring Operation: 55/11=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 55/11=5 Current State: 78:[83, 5], Operations: ['94-39=55', '55/11=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 85, 20, 79, 70 ]
21
[ "85-79=6", "70*6=420", "420/20=21" ]
Current State: 21:[85, 20, 79, 70], Operations: [] Exploring Operation: 85-79=6, Resulting Numbers: [20, 70, 6] Generated Node #2: [20, 70, 6] from Operation: 85-79=6 Current State: 21:[20, 70, 6], Operations: ['85-79=6'] Exploring Operation: 70*6=420, Resulting Numbers: [20, 420] Generated Node #3: [20, 420] from Operation: 70*6=420 Current State: 21:[20, 420], Operations: ['85-79=6', '70*6=420'] Exploring Operation: 420/20=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 70, 40, 22 ]
80
[ "5*22=110", "70-40=30", "110-30=80" ]
Current State: 80:[5, 70, 40, 22], Operations: [] Exploring Operation: 5*22=110, Resulting Numbers: [70, 40, 110] Generated Node #2: [70, 40, 110] from Operation: 5*22=110 Current State: 80:[70, 40, 110], Operations: ['5*22=110'] Exploring Operation: 70-40=30, Resulting Numbers: [110, 30] Generated Node #3: [110, 30] from Operation: 70-40=30 Current State: 80:[110, 30], Operations: ['5*22=110', '70-40=30'] Exploring Operation: 110-30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 53, 45, 76, 85 ]
48
[ "85-76=9", "45/9=5", "53-5=48" ]
Current State: 48:[53, 45, 76, 85], Operations: [] Exploring Operation: 85-76=9, Resulting Numbers: [53, 45, 9] Generated Node #2: [53, 45, 9] from Operation: 85-76=9 Current State: 48:[53, 45, 9], Operations: ['85-76=9'] Exploring Operation: 45/9=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 45/9=5 Current State: 48:[53, 5], Operations: ['85-76=9', '45/9=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 87, 94, 2, 29 ]
43
[ "94-87=7", "2*7=14", "29+14=43" ]
Current State: 43:[87, 94, 2, 29], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [2, 29, 7] Generated Node #2: [2, 29, 7] from Operation: 94-87=7 Current State: 43:[2, 29, 7], Operations: ['94-87=7'] Exploring Operation: 2*7=14, Resulting Numbers: [29, 14] Generated Node #3: [29, 14] from Operation: 2*7=14 Current State: 43:[29, 14], Operations: ['94-87=7', '2*7=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 2, 58, 53, 57 ]
19
[ "58-2=56", "56-53=3", "57/3=19" ]
Current State: 19:[2, 58, 53, 57], Operations: [] Exploring Operation: 58-2=56, Resulting Numbers: [53, 57, 56] Generated Node #2: [53, 57, 56] from Operation: 58-2=56 Current State: 19:[53, 57, 56], Operations: ['58-2=56'] Exploring Operation: 56-53=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 56-53=3 Current State: 19:[57, 3], Operations: ['58-2=56', '56-53=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 21, 51, 3, 95 ]
99
[ "21+95=116", "51/3=17", "116-17=99" ]
Current State: 99:[21, 51, 3, 95], Operations: [] Exploring Operation: 21+95=116, Resulting Numbers: [51, 3, 116] Generated Node #2: [51, 3, 116] from Operation: 21+95=116 Current State: 99:[51, 3, 116], Operations: ['21+95=116'] Exploring Operation: 51/3=17, Resulting Numbers: [116, 17] Generated Node #3: [116, 17] from Operation: 51/3=17 Current State: 99:[116, 17], Operations: ['21+95=116', '51/3=17'] Exploring Operation: 116-17=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 16, 72, 54, 21 ]
48
[ "72-54=18", "21-18=3", "16*3=48" ]
Current State: 48:[16, 72, 54, 21], Operations: [] Exploring Operation: 72-54=18, Resulting Numbers: [16, 21, 18] Generated Node #2: [16, 21, 18] from Operation: 72-54=18 Current State: 48:[16, 21, 18], Operations: ['72-54=18'] Exploring Operation: 21-18=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 21-18=3 Current State: 48:[16, 3], Operations: ['72-54=18', '21-18=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 30, 66, 39, 82 ]
53
[ "30+66=96", "82-39=43", "96-43=53" ]
Current State: 53:[30, 66, 39, 82], Operations: [] Exploring Operation: 30+66=96, Resulting Numbers: [39, 82, 96] Generated Node #2: [39, 82, 96] from Operation: 30+66=96 Current State: 53:[39, 82, 96], Operations: ['30+66=96'] Exploring Operation: 82-39=43, Resulting Numbers: [96, 43] Generated Node #3: [96, 43] from Operation: 82-39=43 Current State: 53:[96, 43], Operations: ['30+66=96', '82-39=43'] Exploring Operation: 96-43=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 16, 53, 21, 4 ]
33
[ "21-16=5", "4*5=20", "53-20=33" ]
Current State: 33:[16, 53, 21, 4], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [53, 4, 5] Generated Node #2: [53, 4, 5] from Operation: 21-16=5 Current State: 33:[53, 4, 5], Operations: ['21-16=5'] Exploring Operation: 4*5=20, Resulting Numbers: [53, 20] Generated Node #3: [53, 20] from Operation: 4*5=20 Current State: 33:[53, 20], Operations: ['21-16=5', '4*5=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 71, 72, 58, 75 ]
39
[ "71-58=13", "75-72=3", "13*3=39" ]
Current State: 39:[71, 72, 58, 75], Operations: [] Exploring Operation: 71-58=13, Resulting Numbers: [72, 75, 13] Generated Node #2: [72, 75, 13] from Operation: 71-58=13 Current State: 39:[72, 75, 13], Operations: ['71-58=13'] Exploring Operation: 75-72=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 75-72=3 Current State: 39:[13, 3], Operations: ['71-58=13', '75-72=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 30, 13, 49 ]
60
[ "64-13=51", "51-49=2", "30*2=60" ]
Current State: 60:[64, 30, 13, 49], Operations: [] Exploring Operation: 64-13=51, Resulting Numbers: [30, 49, 51] Generated Node #2: [30, 49, 51] from Operation: 64-13=51 Current State: 60:[30, 49, 51], Operations: ['64-13=51'] Exploring Operation: 51-49=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 51-49=2 Current State: 60:[30, 2], Operations: ['64-13=51', '51-49=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 27, 45, 15, 26 ]
50
[ "27+26=53", "45/15=3", "53-3=50" ]
Current State: 50:[27, 45, 15, 26], Operations: [] Exploring Operation: 27+26=53, Resulting Numbers: [45, 15, 53] Generated Node #2: [45, 15, 53] from Operation: 27+26=53 Current State: 50:[45, 15, 53], Operations: ['27+26=53'] Exploring Operation: 45/15=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 45/15=3 Current State: 50:[53, 3], Operations: ['27+26=53', '45/15=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4