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
[ 5, 17, 95, 36 ]
46
[ "5*17=85", "95+36=131", "131-85=46" ]
Current State: 46:[5, 17, 95, 36], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [95, 36, 85] Generated Node #2: [95, 36, 85] from Operation: 5*17=85 Current State: 46:[95, 36, 85], Operations: ['5*17=85'] Exploring Operation: 95+36=131, Resulting Numbers: [85, 131] Generated Node #3: [85, 131] from Operation: 95+36=131 Current State: 46:[85, 131], Operations: ['5*17=85', '95+36=131'] Exploring Operation: 131-85=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 20, 37, 51, 71 ]
30
[ "20*51=1020", "71-37=34", "1020/34=30" ]
Current State: 30:[20, 37, 51, 71], Operations: [] Exploring Operation: 20*51=1020, Resulting Numbers: [37, 71, 1020] Generated Node #2: [37, 71, 1020] from Operation: 20*51=1020 Current State: 30:[37, 71, 1020], Operations: ['20*51=1020'] Exploring Operation: 71-37=34, Resulting Numbers: [1020, 34] Generated Node #3: [1020, 34] from Operation: 71-37=34 Current State: 30:[1020, 34], Operations: ['20*51=1020', '71-37=34'] Exploring Operation: 1020/34=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 59, 95, 4, 32 ]
23
[ "95-59=36", "36/4=9", "32-9=23" ]
Current State: 23:[59, 95, 4, 32], Operations: [] Exploring Operation: 95-59=36, Resulting Numbers: [4, 32, 36] Generated Node #2: [4, 32, 36] from Operation: 95-59=36 Current State: 23:[4, 32, 36], Operations: ['95-59=36'] Exploring Operation: 36/4=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 36/4=9 Current State: 23:[32, 9], Operations: ['95-59=36', '36/4=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 55, 10, 45, 43 ]
50
[ "45-43=2", "10/2=5", "55-5=50" ]
Current State: 50:[55, 10, 45, 43], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [55, 10, 2] Generated Node #2: [55, 10, 2] from Operation: 45-43=2 Current State: 50:[55, 10, 2], Operations: ['45-43=2'] Exploring Operation: 10/2=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 10/2=5 Current State: 50:[55, 5], Operations: ['45-43=2', '10/2=5'] Exploring Operation: 55-5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 26, 40, 57, 90 ]
81
[ "26+40=66", "57+90=147", "147-66=81" ]
Current State: 81:[26, 40, 57, 90], Operations: [] Exploring Operation: 26+40=66, Resulting Numbers: [57, 90, 66] Generated Node #2: [57, 90, 66] from Operation: 26+40=66 Current State: 81:[57, 90, 66], Operations: ['26+40=66'] Exploring Operation: 57+90=147, Resulting Numbers: [66, 147] Generated Node #3: [66, 147] from Operation: 57+90=147 Current State: 81:[66, 147], Operations: ['26+40=66', '57+90=147'] Exploring Operation: 147-66=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 11, 79, 1, 74 ]
60
[ "11+1=12", "79-74=5", "12*5=60" ]
Current State: 60:[11, 79, 1, 74], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [79, 74, 12] Generated Node #2: [79, 74, 12] from Operation: 11+1=12 Current State: 60:[79, 74, 12], Operations: ['11+1=12'] Exploring Operation: 79-74=5, Resulting Numbers: [12, 5] Generated Node #3: [12, 5] from Operation: 79-74=5 Current State: 60:[12, 5], Operations: ['11+1=12', '79-74=5'] Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 8, 33, 72, 28 ]
12
[ "8*33=264", "72+264=336", "336/28=12" ]
Current State: 12:[8, 33, 72, 28], Operations: [] Exploring Operation: 8*33=264, Resulting Numbers: [72, 28, 264] Generated Node #2: [72, 28, 264] from Operation: 8*33=264 Current State: 12:[72, 28, 264], Operations: ['8*33=264'] Exploring Operation: 72+264=336, Resulting Numbers: [28, 336] Generated Node #3: [28, 336] from Operation: 72+264=336 Current State: 12:[28, 336], Operations: ['8*33=264', '72+264=336'] Exploring Operation: 336/28=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 33, 51, 99 ]
49
[ "51-5=46", "99/33=3", "46+3=49" ]
Current State: 49:[5, 33, 51, 99], Operations: [] Exploring Operation: 51-5=46, Resulting Numbers: [33, 99, 46] Generated Node #2: [33, 99, 46] from Operation: 51-5=46 Current State: 49:[33, 99, 46], Operations: ['51-5=46'] Exploring Operation: 99/33=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 99/33=3 Current State: 49:[46, 3], Operations: ['51-5=46', '99/33=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 84, 93, 18, 12 ]
39
[ "84+93=177", "18*12=216", "216-177=39" ]
Current State: 39:[84, 93, 18, 12], Operations: [] Exploring Operation: 84+93=177, Resulting Numbers: [18, 12, 177] Generated Node #2: [18, 12, 177] from Operation: 84+93=177 Current State: 39:[18, 12, 177], Operations: ['84+93=177'] Exploring Operation: 18*12=216, Resulting Numbers: [177, 216] Generated Node #3: [177, 216] from Operation: 18*12=216 Current State: 39:[177, 216], Operations: ['84+93=177', '18*12=216'] Exploring Operation: 216-177=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 4, 7, 7 ]
50
[ "4+7=11", "7*11=77", "77-27=50" ]
Current State: 50:[27, 4, 7, 7], Operations: [] Exploring Operation: 4+7=11, Resulting Numbers: [27, 11] Generated Node #2: [27, 11] from Operation: 4+7=11 Current State: 50:[27, 11], Operations: ['4+7=11'] Exploring Operation: 7*11=77, Resulting Numbers: [27, 77] Generated Node #3: [27, 77] from Operation: 7*11=77 Current State: 50:[27, 77], Operations: ['4+7=11', '7*11=77'] Exploring Operation: 77-27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 17, 51, 78, 29 ]
83
[ "51-17=34", "78-29=49", "34+49=83" ]
Current State: 83:[17, 51, 78, 29], Operations: [] Exploring Operation: 51-17=34, Resulting Numbers: [78, 29, 34] Generated Node #2: [78, 29, 34] from Operation: 51-17=34 Current State: 83:[78, 29, 34], Operations: ['51-17=34'] Exploring Operation: 78-29=49, Resulting Numbers: [34, 49] Generated Node #3: [34, 49] from Operation: 78-29=49 Current State: 83:[34, 49], Operations: ['51-17=34', '78-29=49'] Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 72, 27, 19, 9 ]
71
[ "72+27=99", "19+9=28", "99-28=71" ]
Current State: 71:[72, 27, 19, 9], Operations: [] Exploring Operation: 72+27=99, Resulting Numbers: [19, 9, 99] Generated Node #2: [19, 9, 99] from Operation: 72+27=99 Current State: 71:[19, 9, 99], Operations: ['72+27=99'] Exploring Operation: 19+9=28, Resulting Numbers: [99, 28] Generated Node #3: [99, 28] from Operation: 19+9=28 Current State: 71:[99, 28], Operations: ['72+27=99', '19+9=28'] Exploring Operation: 99-28=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 42, 72, 56, 42 ]
96
[ "42*72=3024", "3024/56=54", "42+54=96" ]
Current State: 96:[42, 72, 56, 42], Operations: [] Exploring Operation: 42*72=3024, Resulting Numbers: [56, 3024] Generated Node #2: [56, 3024] from Operation: 42*72=3024 Current State: 96:[56, 3024], Operations: ['42*72=3024'] Exploring Operation: 3024/56=54, Resulting Numbers: [54] 54,96 equal: Goal Reached Exploring Operation: 42+54=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 35, 74, 39, 14 ]
14
[ "74-35=39", "39+14=53", "53-39=14" ]
Current State: 14:[35, 74, 39, 14], Operations: [] Exploring Operation: 74-35=39, Resulting Numbers: [39, 14, 39] Generated Node #2: [39, 14, 39] from Operation: 74-35=39 Current State: 14:[39, 14, 39], Operations: ['74-35=39'] Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,14 equal: Goal Reached Exploring Operation: 53-39=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 58, 56, 43, 51 ]
91
[ "58-51=7", "56-43=13", "7*13=91" ]
Current State: 91:[58, 56, 43, 51], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [56, 43, 7] Generated Node #2: [56, 43, 7] from Operation: 58-51=7 Current State: 91:[56, 43, 7], Operations: ['58-51=7'] Exploring Operation: 56-43=13, Resulting Numbers: [7, 13] Generated Node #3: [7, 13] from Operation: 56-43=13 Current State: 91:[7, 13], Operations: ['58-51=7', '56-43=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 60, 52, 76, 56 ]
33
[ "60-56=4", "76/4=19", "52-19=33" ]
Current State: 33:[60, 52, 76, 56], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [52, 76, 4] Generated Node #2: [52, 76, 4] from Operation: 60-56=4 Current State: 33:[52, 76, 4], Operations: ['60-56=4'] Exploring Operation: 76/4=19, Resulting Numbers: [52, 19] Generated Node #3: [52, 19] from Operation: 76/4=19 Current State: 33:[52, 19], Operations: ['60-56=4', '76/4=19'] Exploring Operation: 52-19=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 27, 85, 61, 28 ]
70
[ "61-27=34", "85*28=2380", "2380/34=70" ]
Current State: 70:[27, 85, 61, 28], Operations: [] Exploring Operation: 61-27=34, Resulting Numbers: [85, 28, 34] Generated Node #2: [85, 28, 34] from Operation: 61-27=34 Current State: 70:[85, 28, 34], Operations: ['61-27=34'] Exploring Operation: 85*28=2380, Resulting Numbers: [34, 2380] Generated Node #3: [34, 2380] from Operation: 85*28=2380 Current State: 70:[34, 2380], Operations: ['61-27=34', '85*28=2380'] Exploring Operation: 2380/34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 79, 3, 28 ]
93
[ "79-17=62", "3+28=31", "62+31=93" ]
Current State: 93:[17, 79, 3, 28], Operations: [] Exploring Operation: 79-17=62, Resulting Numbers: [3, 28, 62] Generated Node #2: [3, 28, 62] from Operation: 79-17=62 Current State: 93:[3, 28, 62], Operations: ['79-17=62'] Exploring Operation: 3+28=31, Resulting Numbers: [62, 31] Generated Node #3: [62, 31] from Operation: 3+28=31 Current State: 93:[62, 31], Operations: ['79-17=62', '3+28=31'] Exploring Operation: 62+31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 98, 74, 78, 61 ]
76
[ "98-61=37", "74/37=2", "78-2=76" ]
Current State: 76:[98, 74, 78, 61], Operations: [] Exploring Operation: 98-61=37, Resulting Numbers: [74, 78, 37] Generated Node #2: [74, 78, 37] from Operation: 98-61=37 Current State: 76:[74, 78, 37], Operations: ['98-61=37'] Exploring Operation: 74/37=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 74/37=2 Current State: 76:[78, 2], Operations: ['98-61=37', '74/37=2'] Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 11, 31, 18, 17 ]
54
[ "31-11=20", "20-17=3", "18*3=54" ]
Current State: 54:[11, 31, 18, 17], Operations: [] Exploring Operation: 31-11=20, Resulting Numbers: [18, 17, 20] Generated Node #2: [18, 17, 20] from Operation: 31-11=20 Current State: 54:[18, 17, 20], Operations: ['31-11=20'] Exploring Operation: 20-17=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 20-17=3 Current State: 54:[18, 3], Operations: ['31-11=20', '20-17=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 34, 27, 17, 33 ]
77
[ "34+27=61", "33-17=16", "61+16=77" ]
Current State: 77:[34, 27, 17, 33], Operations: [] Exploring Operation: 34+27=61, Resulting Numbers: [17, 33, 61] Generated Node #2: [17, 33, 61] from Operation: 34+27=61 Current State: 77:[17, 33, 61], Operations: ['34+27=61'] Exploring Operation: 33-17=16, Resulting Numbers: [61, 16] Generated Node #3: [61, 16] from Operation: 33-17=16 Current State: 77:[61, 16], Operations: ['34+27=61', '33-17=16'] Exploring Operation: 61+16=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 43, 77, 67, 60 ]
49
[ "77-67=10", "60/10=6", "43+6=49" ]
Current State: 49:[43, 77, 67, 60], Operations: [] Exploring Operation: 77-67=10, Resulting Numbers: [43, 60, 10] Generated Node #2: [43, 60, 10] from Operation: 77-67=10 Current State: 49:[43, 60, 10], Operations: ['77-67=10'] Exploring Operation: 60/10=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 60/10=6 Current State: 49:[43, 6], Operations: ['77-67=10', '60/10=6'] Exploring Operation: 43+6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 17, 91, 26 ]
84
[ "2+17=19", "91-26=65", "19+65=84" ]
Current State: 84:[2, 17, 91, 26], Operations: [] Exploring Operation: 2+17=19, Resulting Numbers: [91, 26, 19] Generated Node #2: [91, 26, 19] from Operation: 2+17=19 Current State: 84:[91, 26, 19], Operations: ['2+17=19'] Exploring Operation: 91-26=65, Resulting Numbers: [19, 65] Generated Node #3: [19, 65] from Operation: 91-26=65 Current State: 84:[19, 65], Operations: ['2+17=19', '91-26=65'] Exploring Operation: 19+65=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 44, 33, 1, 59 ]
47
[ "44-33=11", "59-1=58", "58-11=47" ]
Current State: 47:[44, 33, 1, 59], Operations: [] Exploring Operation: 44-33=11, Resulting Numbers: [1, 59, 11] Generated Node #2: [1, 59, 11] from Operation: 44-33=11 Current State: 47:[1, 59, 11], Operations: ['44-33=11'] Exploring Operation: 59-1=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 59-1=58 Current State: 47:[11, 58], Operations: ['44-33=11', '59-1=58'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 50, 95, 66 ]
98
[ "50-28=22", "66/22=3", "95+3=98" ]
Current State: 98:[28, 50, 95, 66], Operations: [] Exploring Operation: 50-28=22, Resulting Numbers: [95, 66, 22] Generated Node #2: [95, 66, 22] from Operation: 50-28=22 Current State: 98:[95, 66, 22], Operations: ['50-28=22'] Exploring Operation: 66/22=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 66/22=3 Current State: 98:[95, 3], Operations: ['50-28=22', '66/22=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 40, 15, 1 ]
50
[ "26+40=66", "15+1=16", "66-16=50" ]
Current State: 50:[26, 40, 15, 1], Operations: [] Exploring Operation: 26+40=66, Resulting Numbers: [15, 1, 66] Generated Node #2: [15, 1, 66] from Operation: 26+40=66 Current State: 50:[15, 1, 66], Operations: ['26+40=66'] Exploring Operation: 15+1=16, Resulting Numbers: [66, 16] Generated Node #3: [66, 16] from Operation: 15+1=16 Current State: 50:[66, 16], Operations: ['26+40=66', '15+1=16'] Exploring Operation: 66-16=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 46, 42, 18, 37 ]
21
[ "46-37=9", "42*9=378", "378/18=21" ]
Current State: 21:[46, 42, 18, 37], Operations: [] Exploring Operation: 46-37=9, Resulting Numbers: [42, 18, 9] Generated Node #2: [42, 18, 9] from Operation: 46-37=9 Current State: 21:[42, 18, 9], Operations: ['46-37=9'] Exploring Operation: 42*9=378, Resulting Numbers: [18, 378] Generated Node #3: [18, 378] from Operation: 42*9=378 Current State: 21:[18, 378], Operations: ['46-37=9', '42*9=378'] Exploring Operation: 378/18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 11, 43, 71, 3 ]
95
[ "71-43=28", "3*28=84", "11+84=95" ]
Current State: 95:[11, 43, 71, 3], Operations: [] Exploring Operation: 71-43=28, Resulting Numbers: [11, 3, 28] Generated Node #2: [11, 3, 28] from Operation: 71-43=28 Current State: 95:[11, 3, 28], Operations: ['71-43=28'] Exploring Operation: 3*28=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 3*28=84 Current State: 95:[11, 84], Operations: ['71-43=28', '3*28=84'] Exploring Operation: 11+84=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 68, 62, 97, 21 ]
12
[ "68+62=130", "97+21=118", "130-118=12" ]
Current State: 12:[68, 62, 97, 21], Operations: [] Exploring Operation: 68+62=130, Resulting Numbers: [97, 21, 130] Generated Node #2: [97, 21, 130] from Operation: 68+62=130 Current State: 12:[97, 21, 130], Operations: ['68+62=130'] Exploring Operation: 97+21=118, Resulting Numbers: [130, 118] Generated Node #3: [130, 118] from Operation: 97+21=118 Current State: 12:[130, 118], Operations: ['68+62=130', '97+21=118'] Exploring Operation: 130-118=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 82, 41, 70, 95 ]
42
[ "82+41=123", "70+95=165", "165-123=42" ]
Current State: 42:[82, 41, 70, 95], Operations: [] Exploring Operation: 82+41=123, Resulting Numbers: [70, 95, 123] Generated Node #2: [70, 95, 123] from Operation: 82+41=123 Current State: 42:[70, 95, 123], Operations: ['82+41=123'] Exploring Operation: 70+95=165, Resulting Numbers: [123, 165] Generated Node #3: [123, 165] from Operation: 70+95=165 Current State: 42:[123, 165], Operations: ['82+41=123', '70+95=165'] Exploring Operation: 165-123=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 19, 86, 13, 93 ]
68
[ "19*13=247", "86+93=179", "247-179=68" ]
Current State: 68:[19, 86, 13, 93], Operations: [] Exploring Operation: 19*13=247, Resulting Numbers: [86, 93, 247] Generated Node #2: [86, 93, 247] from Operation: 19*13=247 Current State: 68:[86, 93, 247], Operations: ['19*13=247'] Exploring Operation: 86+93=179, Resulting Numbers: [247, 179] Generated Node #3: [247, 179] from Operation: 86+93=179 Current State: 68:[247, 179], Operations: ['19*13=247', '86+93=179'] Exploring Operation: 247-179=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 64, 66, 97, 16 ]
17
[ "64+66=130", "97+16=113", "130-113=17" ]
Current State: 17:[64, 66, 97, 16], Operations: [] Exploring Operation: 64+66=130, Resulting Numbers: [97, 16, 130] Generated Node #2: [97, 16, 130] from Operation: 64+66=130 Current State: 17:[97, 16, 130], Operations: ['64+66=130'] Exploring Operation: 97+16=113, Resulting Numbers: [130, 113] Generated Node #3: [130, 113] from Operation: 97+16=113 Current State: 17:[130, 113], Operations: ['64+66=130', '97+16=113'] Exploring Operation: 130-113=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 67, 4, 39, 44 ]
95
[ "67+39=106", "44/4=11", "106-11=95" ]
Current State: 95:[67, 4, 39, 44], Operations: [] Exploring Operation: 67+39=106, Resulting Numbers: [4, 44, 106] Generated Node #2: [4, 44, 106] from Operation: 67+39=106 Current State: 95:[4, 44, 106], Operations: ['67+39=106'] Exploring Operation: 44/4=11, Resulting Numbers: [106, 11] Generated Node #3: [106, 11] from Operation: 44/4=11 Current State: 95:[106, 11], Operations: ['67+39=106', '44/4=11'] Exploring Operation: 106-11=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 9, 70, 32 ]
10
[ "31+32=63", "9*70=630", "630/63=10" ]
Current State: 10:[31, 9, 70, 32], Operations: [] Exploring Operation: 31+32=63, Resulting Numbers: [9, 70, 63] Generated Node #2: [9, 70, 63] from Operation: 31+32=63 Current State: 10:[9, 70, 63], Operations: ['31+32=63'] Exploring Operation: 9*70=630, Resulting Numbers: [63, 630] Generated Node #3: [63, 630] from Operation: 9*70=630 Current State: 10:[63, 630], Operations: ['31+32=63', '9*70=630'] Exploring Operation: 630/63=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 68, 84, 21, 82 ]
77
[ "84-68=16", "82-21=61", "16+61=77" ]
Current State: 77:[68, 84, 21, 82], Operations: [] Exploring Operation: 84-68=16, Resulting Numbers: [21, 82, 16] Generated Node #2: [21, 82, 16] from Operation: 84-68=16 Current State: 77:[21, 82, 16], Operations: ['84-68=16'] Exploring Operation: 82-21=61, Resulting Numbers: [16, 61] Generated Node #3: [16, 61] from Operation: 82-21=61 Current State: 77:[16, 61], Operations: ['84-68=16', '82-21=61'] Exploring Operation: 16+61=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 31, 93, 4, 86 ]
55
[ "31+93=124", "124/4=31", "86-31=55" ]
Current State: 55:[31, 93, 4, 86], Operations: [] Exploring Operation: 31+93=124, Resulting Numbers: [4, 86, 124] Generated Node #2: [4, 86, 124] from Operation: 31+93=124 Current State: 55:[4, 86, 124], Operations: ['31+93=124'] Exploring Operation: 124/4=31, Resulting Numbers: [86, 31] Generated Node #3: [86, 31] from Operation: 124/4=31 Current State: 55:[86, 31], Operations: ['31+93=124', '124/4=31'] Exploring Operation: 86-31=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 6, 19, 94, 43 ]
63
[ "6*19=114", "94-43=51", "114-51=63" ]
Current State: 63:[6, 19, 94, 43], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [94, 43, 114] Generated Node #2: [94, 43, 114] from Operation: 6*19=114 Current State: 63:[94, 43, 114], Operations: ['6*19=114'] Exploring Operation: 94-43=51, Resulting Numbers: [114, 51] Generated Node #3: [114, 51] from Operation: 94-43=51 Current State: 63:[114, 51], Operations: ['6*19=114', '94-43=51'] Exploring Operation: 114-51=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 92, 14, 85, 61 ]
37
[ "92-85=7", "14*7=98", "98-61=37" ]
Current State: 37:[92, 14, 85, 61], Operations: [] Exploring Operation: 92-85=7, Resulting Numbers: [14, 61, 7] Generated Node #2: [14, 61, 7] from Operation: 92-85=7 Current State: 37:[14, 61, 7], Operations: ['92-85=7'] Exploring Operation: 14*7=98, Resulting Numbers: [61, 98] Generated Node #3: [61, 98] from Operation: 14*7=98 Current State: 37:[61, 98], Operations: ['92-85=7', '14*7=98'] Exploring Operation: 98-61=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 41, 72, 28, 27 ]
70
[ "41-27=14", "28/14=2", "72-2=70" ]
Current State: 70:[41, 72, 28, 27], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [72, 28, 14] Generated Node #2: [72, 28, 14] from Operation: 41-27=14 Current State: 70:[72, 28, 14], Operations: ['41-27=14'] Exploring Operation: 28/14=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 28/14=2 Current State: 70:[72, 2], Operations: ['41-27=14', '28/14=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 81, 35, 13 ]
62
[ "29+81=110", "35+13=48", "110-48=62" ]
Current State: 62:[29, 81, 35, 13], Operations: [] Exploring Operation: 29+81=110, Resulting Numbers: [35, 13, 110] Generated Node #2: [35, 13, 110] from Operation: 29+81=110 Current State: 62:[35, 13, 110], Operations: ['29+81=110'] Exploring Operation: 35+13=48, Resulting Numbers: [110, 48] Generated Node #3: [110, 48] from Operation: 35+13=48 Current State: 62:[110, 48], Operations: ['29+81=110', '35+13=48'] Exploring Operation: 110-48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 22, 85, 38 ]
49
[ "24-22=2", "85-38=47", "2+47=49" ]
Current State: 49:[24, 22, 85, 38], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [85, 38, 2] Generated Node #2: [85, 38, 2] from Operation: 24-22=2 Current State: 49:[85, 38, 2], Operations: ['24-22=2'] Exploring Operation: 85-38=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 85-38=47 Current State: 49:[2, 47], Operations: ['24-22=2', '85-38=47'] Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 63, 57, 53, 75 ]
16
[ "63-57=6", "75-53=22", "22-6=16" ]
Current State: 16:[63, 57, 53, 75], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [53, 75, 6] Generated Node #2: [53, 75, 6] from Operation: 63-57=6 Current State: 16:[53, 75, 6], Operations: ['63-57=6'] Exploring Operation: 75-53=22, Resulting Numbers: [6, 22] Generated Node #3: [6, 22] from Operation: 75-53=22 Current State: 16:[6, 22], Operations: ['63-57=6', '75-53=22'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 38, 30, 48, 29 ]
23
[ "38-30=8", "48/8=6", "29-6=23" ]
Current State: 23:[38, 30, 48, 29], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [48, 29, 8] Generated Node #2: [48, 29, 8] from Operation: 38-30=8 Current State: 23:[48, 29, 8], Operations: ['38-30=8'] Exploring Operation: 48/8=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 48/8=6 Current State: 23:[29, 6], Operations: ['38-30=8', '48/8=6'] Exploring Operation: 29-6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 74, 28, 51, 80 ]
75
[ "74-28=46", "80-51=29", "46+29=75" ]
Current State: 75:[74, 28, 51, 80], Operations: [] Exploring Operation: 74-28=46, Resulting Numbers: [51, 80, 46] Generated Node #2: [51, 80, 46] from Operation: 74-28=46 Current State: 75:[51, 80, 46], Operations: ['74-28=46'] Exploring Operation: 80-51=29, Resulting Numbers: [46, 29] Generated Node #3: [46, 29] from Operation: 80-51=29 Current State: 75:[46, 29], Operations: ['74-28=46', '80-51=29'] Exploring Operation: 46+29=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 53, 81, 80, 28 ]
79
[ "81-53=28", "28/28=1", "80-1=79" ]
Current State: 79:[53, 81, 80, 28], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [80, 28, 28] Generated Node #2: [80, 28, 28] from Operation: 81-53=28 Current State: 79:[80, 28, 28], Operations: ['81-53=28'] Exploring Operation: 28/28=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 28/28=1 Current State: 79:[80, 1], Operations: ['81-53=28', '28/28=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 29, 15, 3, 29 ]
70
[ "29+15=44", "29-3=26", "44+26=70" ]
Current State: 70:[29, 15, 3, 29], Operations: [] Exploring Operation: 29+15=44, Resulting Numbers: [3, 44] Generated Node #2: [3, 44] from Operation: 29+15=44 Current State: 70:[3, 44], Operations: ['29+15=44'] Exploring Operation: 29-3=26, Resulting Numbers: [44, 26] Generated Node #3: [44, 26] from Operation: 29-3=26 Current State: 70:[44, 26], Operations: ['29+15=44', '29-3=26'] Exploring Operation: 44+26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 68, 93, 5 ]
45
[ "65+68=133", "93-5=88", "133-88=45" ]
Current State: 45:[65, 68, 93, 5], Operations: [] Exploring Operation: 65+68=133, Resulting Numbers: [93, 5, 133] Generated Node #2: [93, 5, 133] from Operation: 65+68=133 Current State: 45:[93, 5, 133], Operations: ['65+68=133'] Exploring Operation: 93-5=88, Resulting Numbers: [133, 88] Generated Node #3: [133, 88] from Operation: 93-5=88 Current State: 45:[133, 88], Operations: ['65+68=133', '93-5=88'] Exploring Operation: 133-88=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 43, 72, 70, 97 ]
70
[ "43+97=140", "72-70=2", "140/2=70" ]
Current State: 70:[43, 72, 70, 97], Operations: [] Exploring Operation: 43+97=140, Resulting Numbers: [72, 70, 140] Generated Node #2: [72, 70, 140] from Operation: 43+97=140 Current State: 70:[72, 70, 140], Operations: ['43+97=140'] Exploring Operation: 72-70=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 72-70=2 Current State: 70:[140, 2], Operations: ['43+97=140', '72-70=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 70, 81, 67 ]
65
[ "13+70=83", "81+67=148", "148-83=65" ]
Current State: 65:[13, 70, 81, 67], Operations: [] Exploring Operation: 13+70=83, Resulting Numbers: [81, 67, 83] Generated Node #2: [81, 67, 83] from Operation: 13+70=83 Current State: 65:[81, 67, 83], Operations: ['13+70=83'] Exploring Operation: 81+67=148, Resulting Numbers: [83, 148] Generated Node #3: [83, 148] from Operation: 81+67=148 Current State: 65:[83, 148], Operations: ['13+70=83', '81+67=148'] Exploring Operation: 148-83=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 90, 10, 30 ]
13
[ "6+10=16", "90/30=3", "16-3=13" ]
Current State: 13:[6, 90, 10, 30], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [90, 30, 16] Generated Node #2: [90, 30, 16] from Operation: 6+10=16 Current State: 13:[90, 30, 16], Operations: ['6+10=16'] Exploring Operation: 90/30=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 90/30=3 Current State: 13:[16, 3], Operations: ['6+10=16', '90/30=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 12, 16, 76, 64 ]
84
[ "12+76=88", "64/16=4", "88-4=84" ]
Current State: 84:[12, 16, 76, 64], Operations: [] Exploring Operation: 12+76=88, Resulting Numbers: [16, 64, 88] Generated Node #2: [16, 64, 88] from Operation: 12+76=88 Current State: 84:[16, 64, 88], Operations: ['12+76=88'] Exploring Operation: 64/16=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 64/16=4 Current State: 84:[88, 4], Operations: ['12+76=88', '64/16=4'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 84, 71, 82, 51 ]
61
[ "84-82=2", "71+51=122", "122/2=61" ]
Current State: 61:[84, 71, 82, 51], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [71, 51, 2] Generated Node #2: [71, 51, 2] from Operation: 84-82=2 Current State: 61:[71, 51, 2], Operations: ['84-82=2'] Exploring Operation: 71+51=122, Resulting Numbers: [2, 122] Generated Node #3: [2, 122] from Operation: 71+51=122 Current State: 61:[2, 122], Operations: ['84-82=2', '71+51=122'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 63, 61, 84, 66 ]
27
[ "84*66=5544", "5544/63=88", "88-61=27" ]
Current State: 27:[63, 61, 84, 66], Operations: [] Exploring Operation: 84*66=5544, Resulting Numbers: [63, 61, 5544] Generated Node #2: [63, 61, 5544] from Operation: 84*66=5544 Current State: 27:[63, 61, 5544], Operations: ['84*66=5544'] Exploring Operation: 5544/63=88, Resulting Numbers: [61, 88] Generated Node #3: [61, 88] from Operation: 5544/63=88 Current State: 27:[61, 88], Operations: ['84*66=5544', '5544/63=88'] Exploring Operation: 88-61=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 69, 94, 3, 99 ]
84
[ "99-69=30", "30/3=10", "94-10=84" ]
Current State: 84:[69, 94, 3, 99], Operations: [] Exploring Operation: 99-69=30, Resulting Numbers: [94, 3, 30] Generated Node #2: [94, 3, 30] from Operation: 99-69=30 Current State: 84:[94, 3, 30], Operations: ['99-69=30'] Exploring Operation: 30/3=10, Resulting Numbers: [94, 10] Generated Node #3: [94, 10] from Operation: 30/3=10 Current State: 84:[94, 10], Operations: ['99-69=30', '30/3=10'] Exploring Operation: 94-10=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 87, 59, 3, 66 ]
50
[ "87-59=28", "66/3=22", "28+22=50" ]
Current State: 50:[87, 59, 3, 66], Operations: [] Exploring Operation: 87-59=28, Resulting Numbers: [3, 66, 28] Generated Node #2: [3, 66, 28] from Operation: 87-59=28 Current State: 50:[3, 66, 28], Operations: ['87-59=28'] Exploring Operation: 66/3=22, Resulting Numbers: [28, 22] Generated Node #3: [28, 22] from Operation: 66/3=22 Current State: 50:[28, 22], Operations: ['87-59=28', '66/3=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 4, 53, 71, 97 ]
11
[ "71+97=168", "168/4=42", "53-42=11" ]
Current State: 11:[4, 53, 71, 97], Operations: [] Exploring Operation: 71+97=168, Resulting Numbers: [4, 53, 168] Generated Node #2: [4, 53, 168] from Operation: 71+97=168 Current State: 11:[4, 53, 168], Operations: ['71+97=168'] Exploring Operation: 168/4=42, Resulting Numbers: [53, 42] Generated Node #3: [53, 42] from Operation: 168/4=42 Current State: 11:[53, 42], Operations: ['71+97=168', '168/4=42'] Exploring Operation: 53-42=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 52, 6, 63, 14 ]
39
[ "52*63=3276", "6*14=84", "3276/84=39" ]
Current State: 39:[52, 6, 63, 14], Operations: [] Exploring Operation: 52*63=3276, Resulting Numbers: [6, 14, 3276] Generated Node #2: [6, 14, 3276] from Operation: 52*63=3276 Current State: 39:[6, 14, 3276], Operations: ['52*63=3276'] Exploring Operation: 6*14=84, Resulting Numbers: [3276, 84] Generated Node #3: [3276, 84] from Operation: 6*14=84 Current State: 39:[3276, 84], Operations: ['52*63=3276', '6*14=84'] Exploring Operation: 3276/84=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 25, 69, 10, 75 ]
33
[ "25*69=1725", "1725/75=23", "10+23=33" ]
Current State: 33:[25, 69, 10, 75], Operations: [] Exploring Operation: 25*69=1725, Resulting Numbers: [10, 75, 1725] Generated Node #2: [10, 75, 1725] from Operation: 25*69=1725 Current State: 33:[10, 75, 1725], Operations: ['25*69=1725'] Exploring Operation: 1725/75=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 1725/75=23 Current State: 33:[10, 23], Operations: ['25*69=1725', '1725/75=23'] Exploring Operation: 10+23=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 48, 77, 3, 9 ]
93
[ "48*3=144", "144/9=16", "77+16=93" ]
Current State: 93:[48, 77, 3, 9], Operations: [] Exploring Operation: 48*3=144, Resulting Numbers: [77, 9, 144] Generated Node #2: [77, 9, 144] from Operation: 48*3=144 Current State: 93:[77, 9, 144], Operations: ['48*3=144'] Exploring Operation: 144/9=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 144/9=16 Current State: 93:[77, 16], Operations: ['48*3=144', '144/9=16'] Exploring Operation: 77+16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 15, 69, 14, 62 ]
83
[ "69-62=7", "14*7=98", "98-15=83" ]
Current State: 83:[15, 69, 14, 62], Operations: [] Exploring Operation: 69-62=7, Resulting Numbers: [15, 14, 7] Generated Node #2: [15, 14, 7] from Operation: 69-62=7 Current State: 83:[15, 14, 7], Operations: ['69-62=7'] Exploring Operation: 14*7=98, Resulting Numbers: [15, 98] Generated Node #3: [15, 98] from Operation: 14*7=98 Current State: 83:[15, 98], Operations: ['69-62=7', '14*7=98'] Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 4, 72, 72 ]
31
[ "8*4=32", "72/72=1", "32-1=31" ]
Current State: 31:[8, 4, 72, 72], Operations: [] Exploring Operation: 8*4=32, Resulting Numbers: [72, 72, 32] Generated Node #2: [72, 72, 32] from Operation: 8*4=32 Current State: 31:[72, 72, 32], Operations: ['8*4=32'] Exploring Operation: 72/72=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 72/72=1 Current State: 31:[32, 1], Operations: ['8*4=32', '72/72=1'] Exploring Operation: 32-1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 25, 73, 78, 60 ]
19
[ "73-60=13", "78/13=6", "25-6=19" ]
Current State: 19:[25, 73, 78, 60], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [25, 78, 13] Generated Node #2: [25, 78, 13] from Operation: 73-60=13 Current State: 19:[25, 78, 13], Operations: ['73-60=13'] Exploring Operation: 78/13=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 78/13=6 Current State: 19:[25, 6], Operations: ['73-60=13', '78/13=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 4, 41, 66, 51 ]
89
[ "41+51=92", "92/4=23", "66+23=89" ]
Current State: 89:[4, 41, 66, 51], Operations: [] Exploring Operation: 41+51=92, Resulting Numbers: [4, 66, 92] Generated Node #2: [4, 66, 92] from Operation: 41+51=92 Current State: 89:[4, 66, 92], Operations: ['41+51=92'] Exploring Operation: 92/4=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 92/4=23 Current State: 89:[66, 23], Operations: ['41+51=92', '92/4=23'] Exploring Operation: 66+23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 1, 19, 23, 39 ]
43
[ "1*19=19", "23+39=62", "62-19=43" ]
Current State: 43:[1, 19, 23, 39], Operations: [] Exploring Operation: 1*19=19, Resulting Numbers: [23, 39, 19] Generated Node #2: [23, 39, 19] from Operation: 1*19=19 Current State: 43:[23, 39, 19], Operations: ['1*19=19'] Exploring Operation: 23+39=62, Resulting Numbers: [19, 62] Generated Node #3: [19, 62] from Operation: 23+39=62 Current State: 43:[19, 62], Operations: ['1*19=19', '23+39=62'] Exploring Operation: 62-19=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 17, 69, 71, 8 ]
42
[ "71-69=2", "17*2=34", "8+34=42" ]
Current State: 42:[17, 69, 71, 8], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [17, 8, 2] Generated Node #2: [17, 8, 2] from Operation: 71-69=2 Current State: 42:[17, 8, 2], Operations: ['71-69=2'] Exploring Operation: 17*2=34, Resulting Numbers: [8, 34] Generated Node #3: [8, 34] from Operation: 17*2=34 Current State: 42:[8, 34], Operations: ['71-69=2', '17*2=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 13, 50, 4, 88 ]
59
[ "50-13=37", "88/4=22", "37+22=59" ]
Current State: 59:[13, 50, 4, 88], Operations: [] Exploring Operation: 50-13=37, Resulting Numbers: [4, 88, 37] Generated Node #2: [4, 88, 37] from Operation: 50-13=37 Current State: 59:[4, 88, 37], Operations: ['50-13=37'] Exploring Operation: 88/4=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 88/4=22 Current State: 59:[37, 22], Operations: ['50-13=37', '88/4=22'] Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 14, 87, 77, 48 ]
24
[ "14+87=101", "77+48=125", "125-101=24" ]
Current State: 24:[14, 87, 77, 48], Operations: [] Exploring Operation: 14+87=101, Resulting Numbers: [77, 48, 101] Generated Node #2: [77, 48, 101] from Operation: 14+87=101 Current State: 24:[77, 48, 101], Operations: ['14+87=101'] Exploring Operation: 77+48=125, Resulting Numbers: [101, 125] Generated Node #3: [101, 125] from Operation: 77+48=125 Current State: 24:[101, 125], Operations: ['14+87=101', '77+48=125'] Exploring Operation: 125-101=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 42, 76, 84 ]
35
[ "82*42=3444", "3444/84=41", "76-41=35" ]
Current State: 35:[82, 42, 76, 84], Operations: [] Exploring Operation: 82*42=3444, Resulting Numbers: [76, 84, 3444] Generated Node #2: [76, 84, 3444] from Operation: 82*42=3444 Current State: 35:[76, 84, 3444], Operations: ['82*42=3444'] Exploring Operation: 3444/84=41, Resulting Numbers: [76, 41] Generated Node #3: [76, 41] from Operation: 3444/84=41 Current State: 35:[76, 41], Operations: ['82*42=3444', '3444/84=41'] Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 42, 3, 43, 2 ]
86
[ "42+3=45", "43-2=41", "45+41=86" ]
Current State: 86:[42, 3, 43, 2], Operations: [] Exploring Operation: 42+3=45, Resulting Numbers: [43, 2, 45] Generated Node #2: [43, 2, 45] from Operation: 42+3=45 Current State: 86:[43, 2, 45], Operations: ['42+3=45'] Exploring Operation: 43-2=41, Resulting Numbers: [45, 41] Generated Node #3: [45, 41] from Operation: 43-2=41 Current State: 86:[45, 41], Operations: ['42+3=45', '43-2=41'] Exploring Operation: 45+41=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 80, 30, 2 ]
24
[ "11-2=9", "80*9=720", "720/30=24" ]
Current State: 24:[11, 80, 30, 2], Operations: [] Exploring Operation: 11-2=9, Resulting Numbers: [80, 30, 9] Generated Node #2: [80, 30, 9] from Operation: 11-2=9 Current State: 24:[80, 30, 9], Operations: ['11-2=9'] Exploring Operation: 80*9=720, Resulting Numbers: [30, 720] Generated Node #3: [30, 720] from Operation: 80*9=720 Current State: 24:[30, 720], Operations: ['11-2=9', '80*9=720'] Exploring Operation: 720/30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 71, 2, 81, 18 ]
16
[ "81-71=10", "18-10=8", "2*8=16" ]
Current State: 16:[71, 2, 81, 18], Operations: [] Exploring Operation: 81-71=10, Resulting Numbers: [2, 18, 10] Generated Node #2: [2, 18, 10] from Operation: 81-71=10 Current State: 16:[2, 18, 10], Operations: ['81-71=10'] Exploring Operation: 18-10=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 18-10=8 Current State: 16:[2, 8], Operations: ['81-71=10', '18-10=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 1, 97, 81, 14 ]
31
[ "1+97=98", "81-14=67", "98-67=31" ]
Current State: 31:[1, 97, 81, 14], Operations: [] Exploring Operation: 1+97=98, Resulting Numbers: [81, 14, 98] Generated Node #2: [81, 14, 98] from Operation: 1+97=98 Current State: 31:[81, 14, 98], Operations: ['1+97=98'] Exploring Operation: 81-14=67, Resulting Numbers: [98, 67] Generated Node #3: [98, 67] from Operation: 81-14=67 Current State: 31:[98, 67], Operations: ['1+97=98', '81-14=67'] Exploring Operation: 98-67=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 1, 56, 20, 47 ]
29
[ "1*56=56", "47-20=27", "56-27=29" ]
Current State: 29:[1, 56, 20, 47], Operations: [] Exploring Operation: 1*56=56, Resulting Numbers: [20, 47, 56] Generated Node #2: [20, 47, 56] from Operation: 1*56=56 Current State: 29:[20, 47, 56], Operations: ['1*56=56'] Exploring Operation: 47-20=27, Resulting Numbers: [56, 27] Generated Node #3: [56, 27] from Operation: 47-20=27 Current State: 29:[56, 27], Operations: ['1*56=56', '47-20=27'] Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 47, 16, 7, 99 ]
75
[ "47-16=31", "7+99=106", "106-31=75" ]
Current State: 75:[47, 16, 7, 99], Operations: [] Exploring Operation: 47-16=31, Resulting Numbers: [7, 99, 31] Generated Node #2: [7, 99, 31] from Operation: 47-16=31 Current State: 75:[7, 99, 31], Operations: ['47-16=31'] Exploring Operation: 7+99=106, Resulting Numbers: [31, 106] Generated Node #3: [31, 106] from Operation: 7+99=106 Current State: 75:[31, 106], Operations: ['47-16=31', '7+99=106'] Exploring Operation: 106-31=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 64, 19, 36, 90 ]
34
[ "64-19=45", "90/45=2", "36-2=34" ]
Current State: 34:[64, 19, 36, 90], Operations: [] Exploring Operation: 64-19=45, Resulting Numbers: [36, 90, 45] Generated Node #2: [36, 90, 45] from Operation: 64-19=45 Current State: 34:[36, 90, 45], Operations: ['64-19=45'] Exploring Operation: 90/45=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 90/45=2 Current State: 34:[36, 2], Operations: ['64-19=45', '90/45=2'] Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 10, 95, 93 ]
65
[ "13*10=130", "95-93=2", "130/2=65" ]
Current State: 65:[13, 10, 95, 93], Operations: [] Exploring Operation: 13*10=130, Resulting Numbers: [95, 93, 130] Generated Node #2: [95, 93, 130] from Operation: 13*10=130 Current State: 65:[95, 93, 130], Operations: ['13*10=130'] Exploring Operation: 95-93=2, Resulting Numbers: [130, 2] Generated Node #3: [130, 2] from Operation: 95-93=2 Current State: 65:[130, 2], Operations: ['13*10=130', '95-93=2'] Exploring Operation: 130/2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 42, 18, 5, 9 ]
93
[ "18+9=27", "5*27=135", "135-42=93" ]
Current State: 93:[42, 18, 5, 9], Operations: [] Exploring Operation: 18+9=27, Resulting Numbers: [42, 5, 27] Generated Node #2: [42, 5, 27] from Operation: 18+9=27 Current State: 93:[42, 5, 27], Operations: ['18+9=27'] Exploring Operation: 5*27=135, Resulting Numbers: [42, 135] Generated Node #3: [42, 135] from Operation: 5*27=135 Current State: 93:[42, 135], Operations: ['18+9=27', '5*27=135'] Exploring Operation: 135-42=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 96, 34, 9, 40 ]
10
[ "96+34=130", "130-40=90", "90/9=10" ]
Current State: 10:[96, 34, 9, 40], Operations: [] Exploring Operation: 96+34=130, Resulting Numbers: [9, 40, 130] Generated Node #2: [9, 40, 130] from Operation: 96+34=130 Current State: 10:[9, 40, 130], Operations: ['96+34=130'] Exploring Operation: 130-40=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 130-40=90 Current State: 10:[9, 90], Operations: ['96+34=130', '130-40=90'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 1, 64, 58, 94 ]
100
[ "1*64=64", "94-58=36", "64+36=100" ]
Current State: 100:[1, 64, 58, 94], Operations: [] Exploring Operation: 1*64=64, Resulting Numbers: [58, 94, 64] Generated Node #2: [58, 94, 64] from Operation: 1*64=64 Current State: 100:[58, 94, 64], Operations: ['1*64=64'] Exploring Operation: 94-58=36, Resulting Numbers: [64, 36] Generated Node #3: [64, 36] from Operation: 94-58=36 Current State: 100:[64, 36], Operations: ['1*64=64', '94-58=36'] Exploring Operation: 64+36=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 48, 69, 40 ]
34
[ "15+48=63", "69-40=29", "63-29=34" ]
Current State: 34:[15, 48, 69, 40], Operations: [] Exploring Operation: 15+48=63, Resulting Numbers: [69, 40, 63] Generated Node #2: [69, 40, 63] from Operation: 15+48=63 Current State: 34:[69, 40, 63], Operations: ['15+48=63'] Exploring Operation: 69-40=29, Resulting Numbers: [63, 29] Generated Node #3: [63, 29] from Operation: 69-40=29 Current State: 34:[63, 29], Operations: ['15+48=63', '69-40=29'] Exploring Operation: 63-29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 51, 60, 7, 88 ]
86
[ "60-51=9", "7+88=95", "95-9=86" ]
Current State: 86:[51, 60, 7, 88], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [7, 88, 9] Generated Node #2: [7, 88, 9] from Operation: 60-51=9 Current State: 86:[7, 88, 9], Operations: ['60-51=9'] Exploring Operation: 7+88=95, Resulting Numbers: [9, 95] Generated Node #3: [9, 95] from Operation: 7+88=95 Current State: 86:[9, 95], Operations: ['60-51=9', '7+88=95'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 96, 92, 27, 77 ]
100
[ "96-92=4", "27+77=104", "104-4=100" ]
Current State: 100:[96, 92, 27, 77], Operations: [] Exploring Operation: 96-92=4, Resulting Numbers: [27, 77, 4] Generated Node #2: [27, 77, 4] from Operation: 96-92=4 Current State: 100:[27, 77, 4], Operations: ['96-92=4'] Exploring Operation: 27+77=104, Resulting Numbers: [4, 104] Generated Node #3: [4, 104] from Operation: 27+77=104 Current State: 100:[4, 104], Operations: ['96-92=4', '27+77=104'] Exploring Operation: 104-4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 74, 55, 49, 43 ]
46
[ "74+55=129", "129/43=3", "49-3=46" ]
Current State: 46:[74, 55, 49, 43], Operations: [] Exploring Operation: 74+55=129, Resulting Numbers: [49, 43, 129] Generated Node #2: [49, 43, 129] from Operation: 74+55=129 Current State: 46:[49, 43, 129], Operations: ['74+55=129'] Exploring Operation: 129/43=3, Resulting Numbers: [49, 3] Generated Node #3: [49, 3] from Operation: 129/43=3 Current State: 46:[49, 3], Operations: ['74+55=129', '129/43=3'] Exploring Operation: 49-3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 18, 25, 3, 91 ]
38
[ "18+25=43", "3*43=129", "129-91=38" ]
Current State: 38:[18, 25, 3, 91], Operations: [] Exploring Operation: 18+25=43, Resulting Numbers: [3, 91, 43] Generated Node #2: [3, 91, 43] from Operation: 18+25=43 Current State: 38:[3, 91, 43], Operations: ['18+25=43'] Exploring Operation: 3*43=129, Resulting Numbers: [91, 129] Generated Node #3: [91, 129] from Operation: 3*43=129 Current State: 38:[91, 129], Operations: ['18+25=43', '3*43=129'] Exploring Operation: 129-91=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 89, 55, 65, 10 ]
41
[ "89-55=34", "65+10=75", "75-34=41" ]
Current State: 41:[89, 55, 65, 10], Operations: [] Exploring Operation: 89-55=34, Resulting Numbers: [65, 10, 34] Generated Node #2: [65, 10, 34] from Operation: 89-55=34 Current State: 41:[65, 10, 34], Operations: ['89-55=34'] Exploring Operation: 65+10=75, Resulting Numbers: [34, 75] Generated Node #3: [34, 75] from Operation: 65+10=75 Current State: 41:[34, 75], Operations: ['89-55=34', '65+10=75'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 36, 13, 40, 60 ]
29
[ "36+13=49", "60-40=20", "49-20=29" ]
Current State: 29:[36, 13, 40, 60], Operations: [] Exploring Operation: 36+13=49, Resulting Numbers: [40, 60, 49] Generated Node #2: [40, 60, 49] from Operation: 36+13=49 Current State: 29:[40, 60, 49], Operations: ['36+13=49'] Exploring Operation: 60-40=20, Resulting Numbers: [49, 20] Generated Node #3: [49, 20] from Operation: 60-40=20 Current State: 29:[49, 20], Operations: ['36+13=49', '60-40=20'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 73, 34, 7, 80 ]
48
[ "73-34=39", "7+80=87", "87-39=48" ]
Current State: 48:[73, 34, 7, 80], Operations: [] Exploring Operation: 73-34=39, Resulting Numbers: [7, 80, 39] Generated Node #2: [7, 80, 39] from Operation: 73-34=39 Current State: 48:[7, 80, 39], Operations: ['73-34=39'] Exploring Operation: 7+80=87, Resulting Numbers: [39, 87] Generated Node #3: [39, 87] from Operation: 7+80=87 Current State: 48:[39, 87], Operations: ['73-34=39', '7+80=87'] Exploring Operation: 87-39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 20, 66, 1 ]
34
[ "79+20=99", "66-1=65", "99-65=34" ]
Current State: 34:[79, 20, 66, 1], Operations: [] Exploring Operation: 79+20=99, Resulting Numbers: [66, 1, 99] Generated Node #2: [66, 1, 99] from Operation: 79+20=99 Current State: 34:[66, 1, 99], Operations: ['79+20=99'] Exploring Operation: 66-1=65, Resulting Numbers: [99, 65] Generated Node #3: [99, 65] from Operation: 66-1=65 Current State: 34:[99, 65], Operations: ['79+20=99', '66-1=65'] Exploring Operation: 99-65=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 13, 54, 17, 13 ]
98
[ "13*13=169", "54+17=71", "169-71=98" ]
Current State: 98:[13, 54, 17, 13], Operations: [] Exploring Operation: 13*13=169, Resulting Numbers: [54, 17, 169] Generated Node #2: [54, 17, 169] from Operation: 13*13=169 Current State: 98:[54, 17, 169], Operations: ['13*13=169'] Exploring Operation: 54+17=71, Resulting Numbers: [169, 71] Generated Node #3: [169, 71] from Operation: 54+17=71 Current State: 98:[169, 71], Operations: ['13*13=169', '54+17=71'] Exploring Operation: 169-71=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 88, 3, 96, 22 ]
42
[ "96-88=8", "22-8=14", "3*14=42" ]
Current State: 42:[88, 3, 96, 22], Operations: [] Exploring Operation: 96-88=8, Resulting Numbers: [3, 22, 8] Generated Node #2: [3, 22, 8] from Operation: 96-88=8 Current State: 42:[3, 22, 8], Operations: ['96-88=8'] Exploring Operation: 22-8=14, Resulting Numbers: [3, 14] Generated Node #3: [3, 14] from Operation: 22-8=14 Current State: 42:[3, 14], Operations: ['96-88=8', '22-8=14'] Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 19, 53, 84 ]
30
[ "42+19=61", "84-53=31", "61-31=30" ]
Current State: 30:[42, 19, 53, 84], Operations: [] Exploring Operation: 42+19=61, Resulting Numbers: [53, 84, 61] Generated Node #2: [53, 84, 61] from Operation: 42+19=61 Current State: 30:[53, 84, 61], Operations: ['42+19=61'] Exploring Operation: 84-53=31, Resulting Numbers: [61, 31] Generated Node #3: [61, 31] from Operation: 84-53=31 Current State: 30:[61, 31], Operations: ['42+19=61', '84-53=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 75, 89, 2, 90 ]
74
[ "89-75=14", "90-2=88", "88-14=74" ]
Current State: 74:[75, 89, 2, 90], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [2, 90, 14] Generated Node #2: [2, 90, 14] from Operation: 89-75=14 Current State: 74:[2, 90, 14], Operations: ['89-75=14'] Exploring Operation: 90-2=88, Resulting Numbers: [14, 88] Generated Node #3: [14, 88] from Operation: 90-2=88 Current State: 74:[14, 88], Operations: ['89-75=14', '90-2=88'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 37, 44, 13 ]
17
[ "14*44=616", "13+616=629", "629/37=17" ]
Current State: 17:[14, 37, 44, 13], Operations: [] Exploring Operation: 14*44=616, Resulting Numbers: [37, 13, 616] Generated Node #2: [37, 13, 616] from Operation: 14*44=616 Current State: 17:[37, 13, 616], Operations: ['14*44=616'] Exploring Operation: 13+616=629, Resulting Numbers: [37, 629] Generated Node #3: [37, 629] from Operation: 13+616=629 Current State: 17:[37, 629], Operations: ['14*44=616', '13+616=629'] Exploring Operation: 629/37=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 25, 12, 61, 10 ]
31
[ "25*12=300", "300/10=30", "61-30=31" ]
Current State: 31:[25, 12, 61, 10], Operations: [] Exploring Operation: 25*12=300, Resulting Numbers: [61, 10, 300] Generated Node #2: [61, 10, 300] from Operation: 25*12=300 Current State: 31:[61, 10, 300], Operations: ['25*12=300'] Exploring Operation: 300/10=30, Resulting Numbers: [61, 30] Generated Node #3: [61, 30] from Operation: 300/10=30 Current State: 31:[61, 30], Operations: ['25*12=300', '300/10=30'] Exploring Operation: 61-30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 7, 22, 13, 13 ]
15
[ "7*22=154", "13*13=169", "169-154=15" ]
Current State: 15:[7, 22, 13, 13], Operations: [] Exploring Operation: 7*22=154, Resulting Numbers: [13, 13, 154] Generated Node #2: [13, 13, 154] from Operation: 7*22=154 Current State: 15:[13, 13, 154], Operations: ['7*22=154'] Exploring Operation: 13*13=169, Resulting Numbers: [154, 169] Generated Node #3: [154, 169] from Operation: 13*13=169 Current State: 15:[154, 169], Operations: ['7*22=154', '13*13=169'] Exploring Operation: 169-154=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 19, 11, 30, 5 ]
66
[ "30-19=11", "11*5=55", "11+55=66" ]
Current State: 66:[19, 11, 30, 5], Operations: [] Exploring Operation: 30-19=11, Resulting Numbers: [11, 5, 11] Generated Node #2: [11, 5, 11] from Operation: 30-19=11 Current State: 66:[11, 5, 11], Operations: ['30-19=11'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,66 equal: Goal Reached Exploring Operation: 11+55=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 67, 78, 76, 22 ]
12
[ "67+76=143", "78*22=1716", "1716/143=12" ]
Current State: 12:[67, 78, 76, 22], Operations: [] Exploring Operation: 67+76=143, Resulting Numbers: [78, 22, 143] Generated Node #2: [78, 22, 143] from Operation: 67+76=143 Current State: 12:[78, 22, 143], Operations: ['67+76=143'] Exploring Operation: 78*22=1716, Resulting Numbers: [143, 1716] Generated Node #3: [143, 1716] from Operation: 78*22=1716 Current State: 12:[143, 1716], Operations: ['67+76=143', '78*22=1716'] Exploring Operation: 1716/143=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 96, 59, 2, 81 ]
42
[ "96-59=37", "81-2=79", "79-37=42" ]
Current State: 42:[96, 59, 2, 81], Operations: [] Exploring Operation: 96-59=37, Resulting Numbers: [2, 81, 37] Generated Node #2: [2, 81, 37] from Operation: 96-59=37 Current State: 42:[2, 81, 37], Operations: ['96-59=37'] Exploring Operation: 81-2=79, Resulting Numbers: [37, 79] Generated Node #3: [37, 79] from Operation: 81-2=79 Current State: 42:[37, 79], Operations: ['96-59=37', '81-2=79'] Exploring Operation: 79-37=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 91, 59, 29, 17 ]
14
[ "91-59=32", "29+17=46", "46-32=14" ]
Current State: 14:[91, 59, 29, 17], Operations: [] Exploring Operation: 91-59=32, Resulting Numbers: [29, 17, 32] Generated Node #2: [29, 17, 32] from Operation: 91-59=32 Current State: 14:[29, 17, 32], Operations: ['91-59=32'] Exploring Operation: 29+17=46, Resulting Numbers: [32, 46] Generated Node #3: [32, 46] from Operation: 29+17=46 Current State: 14:[32, 46], Operations: ['91-59=32', '29+17=46'] Exploring Operation: 46-32=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 32, 16, 30, 39 ]
98
[ "39-32=7", "30-16=14", "7*14=98" ]
Current State: 98:[32, 16, 30, 39], Operations: [] Exploring Operation: 39-32=7, Resulting Numbers: [16, 30, 7] Generated Node #2: [16, 30, 7] from Operation: 39-32=7 Current State: 98:[16, 30, 7], Operations: ['39-32=7'] Exploring Operation: 30-16=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 30-16=14 Current State: 98:[7, 14], Operations: ['39-32=7', '30-16=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4