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
[ 21, 6, 44, 60 ]
77
[ "21+6=27", "44+60=104", "104-27=77" ]
Current State: 77:[21, 6, 44, 60], Operations: [] Exploring Operation: 21+6=27, Resulting Numbers: [44, 60, 27] Generated Node #2: [44, 60, 27] from Operation: 21+6=27 Current State: 77:[44, 60, 27], Operations: ['21+6=27'] Exploring Operation: 44+60=104, Resulting Numbers: [27, 104] Generated Node #3: [27, 104] from Operation: 44+60=104 Current State: 77:[27, 104], Operations: ['21+6=27', '44+60=104'] Exploring Operation: 104-27=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 29, 58, 55, 55 ]
81
[ "58-29=29", "55+55=110", "110-29=81" ]
Current State: 81:[29, 58, 55, 55], Operations: [] Exploring Operation: 58-29=29, Resulting Numbers: [55, 55, 29] Generated Node #2: [55, 55, 29] from Operation: 58-29=29 Current State: 81:[55, 55, 29], Operations: ['58-29=29'] Exploring Operation: 55+55=110, Resulting Numbers: [29, 110] Generated Node #3: [29, 110] from Operation: 55+55=110 Current State: 81:[29, 110], Operations: ['58-29=29', '55+55=110'] Exploring Operation: 110-29=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 64, 70, 82, 75 ]
23
[ "64+70=134", "82+75=157", "157-134=23" ]
Current State: 23:[64, 70, 82, 75], Operations: [] Exploring Operation: 64+70=134, Resulting Numbers: [82, 75, 134] Generated Node #2: [82, 75, 134] from Operation: 64+70=134 Current State: 23:[82, 75, 134], Operations: ['64+70=134'] Exploring Operation: 82+75=157, Resulting Numbers: [134, 157] Generated Node #3: [134, 157] from Operation: 82+75=157 Current State: 23:[134, 157], Operations: ['64+70=134', '82+75=157'] Exploring Operation: 157-134=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 59, 39, 44, 45 ]
29
[ "39*45=1755", "1755-44=1711", "1711/59=29" ]
Current State: 29:[59, 39, 44, 45], Operations: [] Exploring Operation: 39*45=1755, Resulting Numbers: [59, 44, 1755] Generated Node #2: [59, 44, 1755] from Operation: 39*45=1755 Current State: 29:[59, 44, 1755], Operations: ['39*45=1755'] Exploring Operation: 1755-44=1711, Resulting Numbers: [59, 1711] Generated Node #3: [59, 1711] from Operation: 1755-44=1711 Current State: 29:[59, 1711], Operations: ['39*45=1755', '1755-44=1711'] Exploring Operation: 1711/59=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 2, 89, 41 ]
57
[ "2*41=82", "89+82=171", "171/3=57" ]
Current State: 57:[3, 2, 89, 41], Operations: [] Exploring Operation: 2*41=82, Resulting Numbers: [3, 89, 82] Generated Node #2: [3, 89, 82] from Operation: 2*41=82 Current State: 57:[3, 89, 82], Operations: ['2*41=82'] Exploring Operation: 89+82=171, Resulting Numbers: [3, 171] Generated Node #3: [3, 171] from Operation: 89+82=171 Current State: 57:[3, 171], Operations: ['2*41=82', '89+82=171'] Exploring Operation: 171/3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 3, 75, 82, 33 ]
68
[ "75-33=42", "42/3=14", "82-14=68" ]
Current State: 68:[3, 75, 82, 33], Operations: [] Exploring Operation: 75-33=42, Resulting Numbers: [3, 82, 42] Generated Node #2: [3, 82, 42] from Operation: 75-33=42 Current State: 68:[3, 82, 42], Operations: ['75-33=42'] Exploring Operation: 42/3=14, Resulting Numbers: [82, 14] Generated Node #3: [82, 14] from Operation: 42/3=14 Current State: 68:[82, 14], Operations: ['75-33=42', '42/3=14'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 73, 67, 56, 87 ]
63
[ "87-73=14", "56/14=4", "67-4=63" ]
Current State: 63:[73, 67, 56, 87], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [67, 56, 14] Generated Node #2: [67, 56, 14] from Operation: 87-73=14 Current State: 63:[67, 56, 14], Operations: ['87-73=14'] Exploring Operation: 56/14=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 56/14=4 Current State: 63:[67, 4], Operations: ['87-73=14', '56/14=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 56, 90, 15 ]
18
[ "56-36=20", "20-15=5", "90/5=18" ]
Current State: 18:[36, 56, 90, 15], Operations: [] Exploring Operation: 56-36=20, Resulting Numbers: [90, 15, 20] Generated Node #2: [90, 15, 20] from Operation: 56-36=20 Current State: 18:[90, 15, 20], Operations: ['56-36=20'] Exploring Operation: 20-15=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 20-15=5 Current State: 18:[90, 5], Operations: ['56-36=20', '20-15=5'] Exploring Operation: 90/5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 17, 13, 85, 82 ]
74
[ "85/17=5", "82-13=69", "5+69=74" ]
Current State: 74:[17, 13, 85, 82], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [13, 82, 5] Generated Node #2: [13, 82, 5] from Operation: 85/17=5 Current State: 74:[13, 82, 5], Operations: ['85/17=5'] Exploring Operation: 82-13=69, Resulting Numbers: [5, 69] Generated Node #3: [5, 69] from Operation: 82-13=69 Current State: 74:[5, 69], Operations: ['85/17=5', '82-13=69'] Exploring Operation: 5+69=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 17, 71, 31, 75 ]
18
[ "17+71=88", "31+75=106", "106-88=18" ]
Current State: 18:[17, 71, 31, 75], Operations: [] Exploring Operation: 17+71=88, Resulting Numbers: [31, 75, 88] Generated Node #2: [31, 75, 88] from Operation: 17+71=88 Current State: 18:[31, 75, 88], Operations: ['17+71=88'] Exploring Operation: 31+75=106, Resulting Numbers: [88, 106] Generated Node #3: [88, 106] from Operation: 31+75=106 Current State: 18:[88, 106], Operations: ['17+71=88', '31+75=106'] Exploring Operation: 106-88=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 51, 60, 94, 5 ]
98
[ "60-51=9", "94-5=89", "9+89=98" ]
Current State: 98:[51, 60, 94, 5], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [94, 5, 9] Generated Node #2: [94, 5, 9] from Operation: 60-51=9 Current State: 98:[94, 5, 9], Operations: ['60-51=9'] Exploring Operation: 94-5=89, Resulting Numbers: [9, 89] Generated Node #3: [9, 89] from Operation: 94-5=89 Current State: 98:[9, 89], Operations: ['60-51=9', '94-5=89'] Exploring Operation: 9+89=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 2, 51, 25 ]
25
[ "38-25=13", "2*13=26", "51-26=25" ]
Current State: 25:[38, 2, 51, 25], Operations: [] Exploring Operation: 38-25=13, Resulting Numbers: [2, 51, 13] Generated Node #2: [2, 51, 13] from Operation: 38-25=13 Current State: 25:[2, 51, 13], Operations: ['38-25=13'] Exploring Operation: 2*13=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 2*13=26 Current State: 25:[51, 26], Operations: ['38-25=13', '2*13=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 13, 52, 75, 54 ]
86
[ "13+52=65", "75-54=21", "65+21=86" ]
Current State: 86:[13, 52, 75, 54], Operations: [] Exploring Operation: 13+52=65, Resulting Numbers: [75, 54, 65] Generated Node #2: [75, 54, 65] from Operation: 13+52=65 Current State: 86:[75, 54, 65], Operations: ['13+52=65'] Exploring Operation: 75-54=21, Resulting Numbers: [65, 21] Generated Node #3: [65, 21] from Operation: 75-54=21 Current State: 86:[65, 21], Operations: ['13+52=65', '75-54=21'] Exploring Operation: 65+21=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 29, 1, 32, 35 ]
70
[ "29+1=30", "32-30=2", "35*2=70" ]
Current State: 70:[29, 1, 32, 35], Operations: [] Exploring Operation: 29+1=30, Resulting Numbers: [32, 35, 30] Generated Node #2: [32, 35, 30] from Operation: 29+1=30 Current State: 70:[32, 35, 30], Operations: ['29+1=30'] Exploring Operation: 32-30=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 32-30=2 Current State: 70:[35, 2], Operations: ['29+1=30', '32-30=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 94, 12, 41, 98 ]
89
[ "98-94=4", "12*4=48", "41+48=89" ]
Current State: 89:[94, 12, 41, 98], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [12, 41, 4] Generated Node #2: [12, 41, 4] from Operation: 98-94=4 Current State: 89:[12, 41, 4], Operations: ['98-94=4'] Exploring Operation: 12*4=48, Resulting Numbers: [41, 48] Generated Node #3: [41, 48] from Operation: 12*4=48 Current State: 89:[41, 48], Operations: ['98-94=4', '12*4=48'] Exploring Operation: 41+48=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 79, 5, 83, 89 ]
68
[ "79-5=74", "89-83=6", "74-6=68" ]
Current State: 68:[79, 5, 83, 89], Operations: [] Exploring Operation: 79-5=74, Resulting Numbers: [83, 89, 74] Generated Node #2: [83, 89, 74] from Operation: 79-5=74 Current State: 68:[83, 89, 74], Operations: ['79-5=74'] Exploring Operation: 89-83=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 89-83=6 Current State: 68:[74, 6], Operations: ['79-5=74', '89-83=6'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 85, 3, 55, 84 ]
58
[ "85-55=30", "84/3=28", "30+28=58" ]
Current State: 58:[85, 3, 55, 84], Operations: [] Exploring Operation: 85-55=30, Resulting Numbers: [3, 84, 30] Generated Node #2: [3, 84, 30] from Operation: 85-55=30 Current State: 58:[3, 84, 30], Operations: ['85-55=30'] Exploring Operation: 84/3=28, Resulting Numbers: [30, 28] Generated Node #3: [30, 28] from Operation: 84/3=28 Current State: 58:[30, 28], Operations: ['85-55=30', '84/3=28'] Exploring Operation: 30+28=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 1, 55, 90, 86 ]
11
[ "1+90=91", "91-86=5", "55/5=11" ]
Current State: 11:[1, 55, 90, 86], Operations: [] Exploring Operation: 1+90=91, Resulting Numbers: [55, 86, 91] Generated Node #2: [55, 86, 91] from Operation: 1+90=91 Current State: 11:[55, 86, 91], Operations: ['1+90=91'] Exploring Operation: 91-86=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 91-86=5 Current State: 11:[55, 5], Operations: ['1+90=91', '91-86=5'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 55, 14, 4, 31 ]
31
[ "14*4=56", "56-55=1", "31*1=31" ]
Current State: 31:[55, 14, 4, 31], Operations: [] Exploring Operation: 14*4=56, Resulting Numbers: [55, 31, 56] Generated Node #2: [55, 31, 56] from Operation: 14*4=56 Current State: 31:[55, 31, 56], Operations: ['14*4=56'] Exploring Operation: 56-55=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 56-55=1 Current State: 31:[31, 1], Operations: ['14*4=56', '56-55=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 3, 41, 69 ]
75
[ "43-41=2", "3*2=6", "69+6=75" ]
Current State: 75:[43, 3, 41, 69], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [3, 69, 2] Generated Node #2: [3, 69, 2] from Operation: 43-41=2 Current State: 75:[3, 69, 2], Operations: ['43-41=2'] Exploring Operation: 3*2=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 3*2=6 Current State: 75:[69, 6], Operations: ['43-41=2', '3*2=6'] Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 87, 90, 30, 28 ]
56
[ "87-28=59", "90/30=3", "59-3=56" ]
Current State: 56:[87, 90, 30, 28], Operations: [] Exploring Operation: 87-28=59, Resulting Numbers: [90, 30, 59] Generated Node #2: [90, 30, 59] from Operation: 87-28=59 Current State: 56:[90, 30, 59], Operations: ['87-28=59'] Exploring Operation: 90/30=3, Resulting Numbers: [59, 3] Generated Node #3: [59, 3] from Operation: 90/30=3 Current State: 56:[59, 3], Operations: ['87-28=59', '90/30=3'] Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 91, 2, 16, 84 ]
61
[ "91+16=107", "2*84=168", "168-107=61" ]
Current State: 61:[91, 2, 16, 84], Operations: [] Exploring Operation: 91+16=107, Resulting Numbers: [2, 84, 107] Generated Node #2: [2, 84, 107] from Operation: 91+16=107 Current State: 61:[2, 84, 107], Operations: ['91+16=107'] Exploring Operation: 2*84=168, Resulting Numbers: [107, 168] Generated Node #3: [107, 168] from Operation: 2*84=168 Current State: 61:[107, 168], Operations: ['91+16=107', '2*84=168'] Exploring Operation: 168-107=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 84, 17, 8, 23 ]
82
[ "84-17=67", "23-8=15", "67+15=82" ]
Current State: 82:[84, 17, 8, 23], Operations: [] Exploring Operation: 84-17=67, Resulting Numbers: [8, 23, 67] Generated Node #2: [8, 23, 67] from Operation: 84-17=67 Current State: 82:[8, 23, 67], Operations: ['84-17=67'] Exploring Operation: 23-8=15, Resulting Numbers: [67, 15] Generated Node #3: [67, 15] from Operation: 23-8=15 Current State: 82:[67, 15], Operations: ['84-17=67', '23-8=15'] Exploring Operation: 67+15=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 75, 36, 51, 72 ]
12
[ "75+36=111", "51+72=123", "123-111=12" ]
Current State: 12:[75, 36, 51, 72], Operations: [] Exploring Operation: 75+36=111, Resulting Numbers: [51, 72, 111] Generated Node #2: [51, 72, 111] from Operation: 75+36=111 Current State: 12:[51, 72, 111], Operations: ['75+36=111'] Exploring Operation: 51+72=123, Resulting Numbers: [111, 123] Generated Node #3: [111, 123] from Operation: 51+72=123 Current State: 12:[111, 123], Operations: ['75+36=111', '51+72=123'] Exploring Operation: 123-111=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 93, 50, 93 ]
36
[ "3*50=150", "93+93=186", "186-150=36" ]
Current State: 36:[3, 93, 50, 93], Operations: [] Exploring Operation: 3*50=150, Resulting Numbers: [93, 93, 150] Generated Node #2: [93, 93, 150] from Operation: 3*50=150 Current State: 36:[93, 93, 150], Operations: ['3*50=150'] Exploring Operation: 93+93=186, Resulting Numbers: [150, 186] Generated Node #3: [150, 186] from Operation: 93+93=186 Current State: 36:[150, 186], Operations: ['3*50=150', '93+93=186'] Exploring Operation: 186-150=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 31, 10, 51, 16 ]
56
[ "31-10=21", "51-16=35", "21+35=56" ]
Current State: 56:[31, 10, 51, 16], Operations: [] Exploring Operation: 31-10=21, Resulting Numbers: [51, 16, 21] Generated Node #2: [51, 16, 21] from Operation: 31-10=21 Current State: 56:[51, 16, 21], Operations: ['31-10=21'] Exploring Operation: 51-16=35, Resulting Numbers: [21, 35] Generated Node #3: [21, 35] from Operation: 51-16=35 Current State: 56:[21, 35], Operations: ['31-10=21', '51-16=35'] Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 30, 47, 94 ]
98
[ "66+30=96", "94/47=2", "96+2=98" ]
Current State: 98:[66, 30, 47, 94], Operations: [] Exploring Operation: 66+30=96, Resulting Numbers: [47, 94, 96] Generated Node #2: [47, 94, 96] from Operation: 66+30=96 Current State: 98:[47, 94, 96], Operations: ['66+30=96'] Exploring Operation: 94/47=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 94/47=2 Current State: 98:[96, 2], Operations: ['66+30=96', '94/47=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 36, 99, 7, 20 ]
13
[ "36-20=16", "7*16=112", "112-99=13" ]
Current State: 13:[36, 99, 7, 20], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [99, 7, 16] Generated Node #2: [99, 7, 16] from Operation: 36-20=16 Current State: 13:[99, 7, 16], Operations: ['36-20=16'] Exploring Operation: 7*16=112, Resulting Numbers: [99, 112] Generated Node #3: [99, 112] from Operation: 7*16=112 Current State: 13:[99, 112], Operations: ['36-20=16', '7*16=112'] Exploring Operation: 112-99=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 64, 18, 98, 74 ]
65
[ "64+98=162", "162/18=9", "74-9=65" ]
Current State: 65:[64, 18, 98, 74], Operations: [] Exploring Operation: 64+98=162, Resulting Numbers: [18, 74, 162] Generated Node #2: [18, 74, 162] from Operation: 64+98=162 Current State: 65:[18, 74, 162], Operations: ['64+98=162'] Exploring Operation: 162/18=9, Resulting Numbers: [74, 9] Generated Node #3: [74, 9] from Operation: 162/18=9 Current State: 65:[74, 9], Operations: ['64+98=162', '162/18=9'] Exploring Operation: 74-9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 64, 44, 70, 98 ]
48
[ "64-44=20", "98-70=28", "20+28=48" ]
Current State: 48:[64, 44, 70, 98], Operations: [] Exploring Operation: 64-44=20, Resulting Numbers: [70, 98, 20] Generated Node #2: [70, 98, 20] from Operation: 64-44=20 Current State: 48:[70, 98, 20], Operations: ['64-44=20'] Exploring Operation: 98-70=28, Resulting Numbers: [20, 28] Generated Node #3: [20, 28] from Operation: 98-70=28 Current State: 48:[20, 28], Operations: ['64-44=20', '98-70=28'] Exploring Operation: 20+28=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 53, 19, 63, 9 ]
80
[ "19*63=1197", "1197/9=133", "133-53=80" ]
Current State: 80:[53, 19, 63, 9], Operations: [] Exploring Operation: 19*63=1197, Resulting Numbers: [53, 9, 1197] Generated Node #2: [53, 9, 1197] from Operation: 19*63=1197 Current State: 80:[53, 9, 1197], Operations: ['19*63=1197'] Exploring Operation: 1197/9=133, Resulting Numbers: [53, 133] Generated Node #3: [53, 133] from Operation: 1197/9=133 Current State: 80:[53, 133], Operations: ['19*63=1197', '1197/9=133'] Exploring Operation: 133-53=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 17, 64, 8, 84 ]
75
[ "84-17=67", "64/8=8", "67+8=75" ]
Current State: 75:[17, 64, 8, 84], Operations: [] Exploring Operation: 84-17=67, Resulting Numbers: [64, 8, 67] Generated Node #2: [64, 8, 67] from Operation: 84-17=67 Current State: 75:[64, 8, 67], Operations: ['84-17=67'] Exploring Operation: 64/8=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 64/8=8 Current State: 75:[67, 8], Operations: ['84-17=67', '64/8=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 33, 40, 6 ]
53
[ "8-6=2", "40/2=20", "33+20=53" ]
Current State: 53:[8, 33, 40, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [33, 40, 2] Generated Node #2: [33, 40, 2] from Operation: 8-6=2 Current State: 53:[33, 40, 2], Operations: ['8-6=2'] Exploring Operation: 40/2=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 40/2=20 Current State: 53:[33, 20], Operations: ['8-6=2', '40/2=20'] Exploring Operation: 33+20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 37, 16, 22 ]
78
[ "77-37=40", "16+22=38", "40+38=78" ]
Current State: 78:[77, 37, 16, 22], Operations: [] Exploring Operation: 77-37=40, Resulting Numbers: [16, 22, 40] Generated Node #2: [16, 22, 40] from Operation: 77-37=40 Current State: 78:[16, 22, 40], Operations: ['77-37=40'] Exploring Operation: 16+22=38, Resulting Numbers: [40, 38] Generated Node #3: [40, 38] from Operation: 16+22=38 Current State: 78:[40, 38], Operations: ['77-37=40', '16+22=38'] Exploring Operation: 40+38=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 7, 14, 42 ]
46
[ "7+14=21", "42/21=2", "48-2=46" ]
Current State: 46:[48, 7, 14, 42], Operations: [] Exploring Operation: 7+14=21, Resulting Numbers: [48, 42, 21] Generated Node #2: [48, 42, 21] from Operation: 7+14=21 Current State: 46:[48, 42, 21], Operations: ['7+14=21'] Exploring Operation: 42/21=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 42/21=2 Current State: 46:[48, 2], Operations: ['7+14=21', '42/21=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 2, 16, 89 ]
39
[ "6+2=8", "16*8=128", "128-89=39" ]
Current State: 39:[6, 2, 16, 89], Operations: [] Exploring Operation: 6+2=8, Resulting Numbers: [16, 89, 8] Generated Node #2: [16, 89, 8] from Operation: 6+2=8 Current State: 39:[16, 89, 8], Operations: ['6+2=8'] Exploring Operation: 16*8=128, Resulting Numbers: [89, 128] Generated Node #3: [89, 128] from Operation: 16*8=128 Current State: 39:[89, 128], Operations: ['6+2=8', '16*8=128'] Exploring Operation: 128-89=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 2, 78, 70 ]
95
[ "64+70=134", "78/2=39", "134-39=95" ]
Current State: 95:[64, 2, 78, 70], Operations: [] Exploring Operation: 64+70=134, Resulting Numbers: [2, 78, 134] Generated Node #2: [2, 78, 134] from Operation: 64+70=134 Current State: 95:[2, 78, 134], Operations: ['64+70=134'] Exploring Operation: 78/2=39, Resulting Numbers: [134, 39] Generated Node #3: [134, 39] from Operation: 78/2=39 Current State: 95:[134, 39], Operations: ['64+70=134', '78/2=39'] Exploring Operation: 134-39=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 62, 28, 65, 5 ]
99
[ "65-62=3", "28+5=33", "3*33=99" ]
Current State: 99:[62, 28, 65, 5], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [28, 5, 3] Generated Node #2: [28, 5, 3] from Operation: 65-62=3 Current State: 99:[28, 5, 3], Operations: ['65-62=3'] Exploring Operation: 28+5=33, Resulting Numbers: [3, 33] Generated Node #3: [3, 33] from Operation: 28+5=33 Current State: 99:[3, 33], Operations: ['65-62=3', '28+5=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 73, 60, 3, 98 ]
82
[ "73-60=13", "98-3=95", "95-13=82" ]
Current State: 82:[73, 60, 3, 98], Operations: [] Exploring Operation: 73-60=13, Resulting Numbers: [3, 98, 13] Generated Node #2: [3, 98, 13] from Operation: 73-60=13 Current State: 82:[3, 98, 13], Operations: ['73-60=13'] Exploring Operation: 98-3=95, Resulting Numbers: [13, 95] Generated Node #3: [13, 95] from Operation: 98-3=95 Current State: 82:[13, 95], Operations: ['73-60=13', '98-3=95'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 79, 24, 36, 47 ]
48
[ "79-47=32", "36*32=1152", "1152/24=48" ]
Current State: 48:[79, 24, 36, 47], Operations: [] Exploring Operation: 79-47=32, Resulting Numbers: [24, 36, 32] Generated Node #2: [24, 36, 32] from Operation: 79-47=32 Current State: 48:[24, 36, 32], Operations: ['79-47=32'] Exploring Operation: 36*32=1152, Resulting Numbers: [24, 1152] Generated Node #3: [24, 1152] from Operation: 36*32=1152 Current State: 48:[24, 1152], Operations: ['79-47=32', '36*32=1152'] Exploring Operation: 1152/24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 63, 8, 19 ]
79
[ "63-11=52", "8+19=27", "52+27=79" ]
Current State: 79:[11, 63, 8, 19], Operations: [] Exploring Operation: 63-11=52, Resulting Numbers: [8, 19, 52] Generated Node #2: [8, 19, 52] from Operation: 63-11=52 Current State: 79:[8, 19, 52], Operations: ['63-11=52'] Exploring Operation: 8+19=27, Resulting Numbers: [52, 27] Generated Node #3: [52, 27] from Operation: 8+19=27 Current State: 79:[52, 27], Operations: ['63-11=52', '8+19=27'] Exploring Operation: 52+27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 81, 77, 14, 10 ]
46
[ "81-77=4", "14*4=56", "56-10=46" ]
Current State: 46:[81, 77, 14, 10], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [14, 10, 4] Generated Node #2: [14, 10, 4] from Operation: 81-77=4 Current State: 46:[14, 10, 4], Operations: ['81-77=4'] Exploring Operation: 14*4=56, Resulting Numbers: [10, 56] Generated Node #3: [10, 56] from Operation: 14*4=56 Current State: 46:[10, 56], Operations: ['81-77=4', '14*4=56'] Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 43, 34, 80, 89 ]
86
[ "43+34=77", "89-80=9", "77+9=86" ]
Current State: 86:[43, 34, 80, 89], Operations: [] Exploring Operation: 43+34=77, Resulting Numbers: [80, 89, 77] Generated Node #2: [80, 89, 77] from Operation: 43+34=77 Current State: 86:[80, 89, 77], Operations: ['43+34=77'] Exploring Operation: 89-80=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 89-80=9 Current State: 86:[77, 9], Operations: ['43+34=77', '89-80=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 27, 80, 74, 2 ]
31
[ "27+80=107", "74+2=76", "107-76=31" ]
Current State: 31:[27, 80, 74, 2], Operations: [] Exploring Operation: 27+80=107, Resulting Numbers: [74, 2, 107] Generated Node #2: [74, 2, 107] from Operation: 27+80=107 Current State: 31:[74, 2, 107], Operations: ['27+80=107'] Exploring Operation: 74+2=76, Resulting Numbers: [107, 76] Generated Node #3: [107, 76] from Operation: 74+2=76 Current State: 31:[107, 76], Operations: ['27+80=107', '74+2=76'] Exploring Operation: 107-76=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 37, 47, 88, 99 ]
21
[ "47-37=10", "99-88=11", "10+11=21" ]
Current State: 21:[37, 47, 88, 99], Operations: [] Exploring Operation: 47-37=10, Resulting Numbers: [88, 99, 10] Generated Node #2: [88, 99, 10] from Operation: 47-37=10 Current State: 21:[88, 99, 10], Operations: ['47-37=10'] Exploring Operation: 99-88=11, Resulting Numbers: [10, 11] Generated Node #3: [10, 11] from Operation: 99-88=11 Current State: 21:[10, 11], Operations: ['47-37=10', '99-88=11'] Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 78, 31, 83, 46 ]
20
[ "78+31=109", "83+46=129", "129-109=20" ]
Current State: 20:[78, 31, 83, 46], Operations: [] Exploring Operation: 78+31=109, Resulting Numbers: [83, 46, 109] Generated Node #2: [83, 46, 109] from Operation: 78+31=109 Current State: 20:[83, 46, 109], Operations: ['78+31=109'] Exploring Operation: 83+46=129, Resulting Numbers: [109, 129] Generated Node #3: [109, 129] from Operation: 83+46=129 Current State: 20:[109, 129], Operations: ['78+31=109', '83+46=129'] Exploring Operation: 129-109=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 43, 28, 75, 75 ]
28
[ "75-75=0", "43*0=0", "28+0=28" ]
Current State: 28:[43, 28, 75, 75], Operations: [] Exploring Operation: 75-75=0, Resulting Numbers: [43, 28, 0] Generated Node #2: [43, 28, 0] from Operation: 75-75=0 Current State: 28:[43, 28, 0], Operations: ['75-75=0'] Exploring Operation: 43*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 43*0=0 Current State: 28:[28, 0], Operations: ['75-75=0', '43*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 98, 25, 76, 25 ]
98
[ "25-25=0", "76*0=0", "98+0=98" ]
Current State: 98:[98, 25, 76, 25], Operations: [] Exploring Operation: 25-25=0, Resulting Numbers: [98, 76, 0] Generated Node #2: [98, 76, 0] from Operation: 25-25=0 Current State: 98:[98, 76, 0], Operations: ['25-25=0'] Exploring Operation: 76*0=0, Resulting Numbers: [98, 0] Generated Node #3: [98, 0] from Operation: 76*0=0 Current State: 98:[98, 0], Operations: ['25-25=0', '76*0=0'] Exploring Operation: 98+0=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 86, 27, 4, 33 ]
22
[ "86-27=59", "4+33=37", "59-37=22" ]
Current State: 22:[86, 27, 4, 33], Operations: [] Exploring Operation: 86-27=59, Resulting Numbers: [4, 33, 59] Generated Node #2: [4, 33, 59] from Operation: 86-27=59 Current State: 22:[4, 33, 59], Operations: ['86-27=59'] Exploring Operation: 4+33=37, Resulting Numbers: [59, 37] Generated Node #3: [59, 37] from Operation: 4+33=37 Current State: 22:[59, 37], Operations: ['86-27=59', '4+33=37'] Exploring Operation: 59-37=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 47, 36, 31, 2 ]
96
[ "47+31=78", "36/2=18", "78+18=96" ]
Current State: 96:[47, 36, 31, 2], Operations: [] Exploring Operation: 47+31=78, Resulting Numbers: [36, 2, 78] Generated Node #2: [36, 2, 78] from Operation: 47+31=78 Current State: 96:[36, 2, 78], Operations: ['47+31=78'] Exploring Operation: 36/2=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 36/2=18 Current State: 96:[78, 18], Operations: ['47+31=78', '36/2=18'] Exploring Operation: 78+18=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 92, 22, 70 ]
57
[ "92-22=70", "70/70=1", "56+1=57" ]
Current State: 57:[56, 92, 22, 70], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [56, 70, 70] Generated Node #2: [56, 70, 70] from Operation: 92-22=70 Current State: 57:[56, 70, 70], Operations: ['92-22=70'] Exploring Operation: 70/70=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 70/70=1 Current State: 57:[56, 1], Operations: ['92-22=70', '70/70=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 75, 10, 61 ]
64
[ "60+75=135", "10+61=71", "135-71=64" ]
Current State: 64:[60, 75, 10, 61], Operations: [] Exploring Operation: 60+75=135, Resulting Numbers: [10, 61, 135] Generated Node #2: [10, 61, 135] from Operation: 60+75=135 Current State: 64:[10, 61, 135], Operations: ['60+75=135'] Exploring Operation: 10+61=71, Resulting Numbers: [135, 71] Generated Node #3: [135, 71] from Operation: 10+61=71 Current State: 64:[135, 71], Operations: ['60+75=135', '10+61=71'] Exploring Operation: 135-71=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 18, 91, 81, 18 ]
11
[ "18/18=1", "91-81=10", "1+10=11" ]
Current State: 11:[18, 91, 81, 18], Operations: [] Exploring Operation: 18/18=1, Resulting Numbers: [91, 81, 1] Generated Node #2: [91, 81, 1] from Operation: 18/18=1 Current State: 11:[91, 81, 1], Operations: ['18/18=1'] Exploring Operation: 91-81=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 91-81=10 Current State: 11:[1, 10], Operations: ['18/18=1', '91-81=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 91, 1, 42, 76 ]
56
[ "91-1=90", "76-42=34", "90-34=56" ]
Current State: 56:[91, 1, 42, 76], Operations: [] Exploring Operation: 91-1=90, Resulting Numbers: [42, 76, 90] Generated Node #2: [42, 76, 90] from Operation: 91-1=90 Current State: 56:[42, 76, 90], Operations: ['91-1=90'] Exploring Operation: 76-42=34, Resulting Numbers: [90, 34] Generated Node #3: [90, 34] from Operation: 76-42=34 Current State: 56:[90, 34], Operations: ['91-1=90', '76-42=34'] Exploring Operation: 90-34=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 19, 49, 43, 45 ]
79
[ "45-43=2", "49*2=98", "98-19=79" ]
Current State: 79:[19, 49, 43, 45], Operations: [] Exploring Operation: 45-43=2, Resulting Numbers: [19, 49, 2] Generated Node #2: [19, 49, 2] from Operation: 45-43=2 Current State: 79:[19, 49, 2], Operations: ['45-43=2'] Exploring Operation: 49*2=98, Resulting Numbers: [19, 98] Generated Node #3: [19, 98] from Operation: 49*2=98 Current State: 79:[19, 98], Operations: ['45-43=2', '49*2=98'] Exploring Operation: 98-19=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 73, 74, 58, 15 ]
44
[ "74-73=1", "58-15=43", "1+43=44" ]
Current State: 44:[73, 74, 58, 15], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [58, 15, 1] Generated Node #2: [58, 15, 1] from Operation: 74-73=1 Current State: 44:[58, 15, 1], Operations: ['74-73=1'] Exploring Operation: 58-15=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 58-15=43 Current State: 44:[1, 43], Operations: ['74-73=1', '58-15=43'] Exploring Operation: 1+43=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 7, 58, 32, 71 ]
12
[ "58-7=51", "71-32=39", "51-39=12" ]
Current State: 12:[7, 58, 32, 71], Operations: [] Exploring Operation: 58-7=51, Resulting Numbers: [32, 71, 51] Generated Node #2: [32, 71, 51] from Operation: 58-7=51 Current State: 12:[32, 71, 51], Operations: ['58-7=51'] Exploring Operation: 71-32=39, Resulting Numbers: [51, 39] Generated Node #3: [51, 39] from Operation: 71-32=39 Current State: 12:[51, 39], Operations: ['58-7=51', '71-32=39'] Exploring Operation: 51-39=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 84, 36, 93, 91 ]
87
[ "93-84=9", "36/9=4", "91-4=87" ]
Current State: 87:[84, 36, 93, 91], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [36, 91, 9] Generated Node #2: [36, 91, 9] from Operation: 93-84=9 Current State: 87:[36, 91, 9], Operations: ['93-84=9'] Exploring Operation: 36/9=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 36/9=4 Current State: 87:[91, 4], Operations: ['93-84=9', '36/9=4'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 71, 89, 4 ]
86
[ "72-71=1", "89-4=85", "1+85=86" ]
Current State: 86:[72, 71, 89, 4], Operations: [] Exploring Operation: 72-71=1, Resulting Numbers: [89, 4, 1] Generated Node #2: [89, 4, 1] from Operation: 72-71=1 Current State: 86:[89, 4, 1], Operations: ['72-71=1'] Exploring Operation: 89-4=85, Resulting Numbers: [1, 85] Generated Node #3: [1, 85] from Operation: 89-4=85 Current State: 86:[1, 85], Operations: ['72-71=1', '89-4=85'] Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 19, 24, 3, 8 ]
67
[ "19+24=43", "3*8=24", "43+24=67" ]
Current State: 67:[19, 24, 3, 8], Operations: [] Exploring Operation: 19+24=43, Resulting Numbers: [3, 8, 43] Generated Node #2: [3, 8, 43] from Operation: 19+24=43 Current State: 67:[3, 8, 43], Operations: ['19+24=43'] Exploring Operation: 3*8=24, Resulting Numbers: [43, 24] Generated Node #3: [43, 24] from Operation: 3*8=24 Current State: 67:[43, 24], Operations: ['19+24=43', '3*8=24'] Exploring Operation: 43+24=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 13, 65, 42, 87 ]
51
[ "13+65=78", "42+87=129", "129-78=51" ]
Current State: 51:[13, 65, 42, 87], Operations: [] Exploring Operation: 13+65=78, Resulting Numbers: [42, 87, 78] Generated Node #2: [42, 87, 78] from Operation: 13+65=78 Current State: 51:[42, 87, 78], Operations: ['13+65=78'] Exploring Operation: 42+87=129, Resulting Numbers: [78, 129] Generated Node #3: [78, 129] from Operation: 42+87=129 Current State: 51:[78, 129], Operations: ['13+65=78', '42+87=129'] Exploring Operation: 129-78=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 44, 38, 40 ]
74
[ "2*40=80", "44-38=6", "80-6=74" ]
Current State: 74:[2, 44, 38, 40], Operations: [] Exploring Operation: 2*40=80, Resulting Numbers: [44, 38, 80] Generated Node #2: [44, 38, 80] from Operation: 2*40=80 Current State: 74:[44, 38, 80], Operations: ['2*40=80'] Exploring Operation: 44-38=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 44-38=6 Current State: 74:[80, 6], Operations: ['2*40=80', '44-38=6'] Exploring Operation: 80-6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 62, 78, 39, 55 ]
69
[ "62*78=4836", "4836/39=124", "124-55=69" ]
Current State: 69:[62, 78, 39, 55], Operations: [] Exploring Operation: 62*78=4836, Resulting Numbers: [39, 55, 4836] Generated Node #2: [39, 55, 4836] from Operation: 62*78=4836 Current State: 69:[39, 55, 4836], Operations: ['62*78=4836'] Exploring Operation: 4836/39=124, Resulting Numbers: [55, 124] Generated Node #3: [55, 124] from Operation: 4836/39=124 Current State: 69:[55, 124], Operations: ['62*78=4836', '4836/39=124'] Exploring Operation: 124-55=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 27, 76, 3, 77 ]
84
[ "76-27=49", "77-49=28", "3*28=84" ]
Current State: 84:[27, 76, 3, 77], Operations: [] Exploring Operation: 76-27=49, Resulting Numbers: [3, 77, 49] Generated Node #2: [3, 77, 49] from Operation: 76-27=49 Current State: 84:[3, 77, 49], Operations: ['76-27=49'] Exploring Operation: 77-49=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 77-49=28 Current State: 84:[3, 28], Operations: ['76-27=49', '77-49=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 8, 97, 13, 59 ]
96
[ "97+59=156", "8*156=1248", "1248/13=96" ]
Current State: 96:[8, 97, 13, 59], Operations: [] Exploring Operation: 97+59=156, Resulting Numbers: [8, 13, 156] Generated Node #2: [8, 13, 156] from Operation: 97+59=156 Current State: 96:[8, 13, 156], Operations: ['97+59=156'] Exploring Operation: 8*156=1248, Resulting Numbers: [13, 1248] Generated Node #3: [13, 1248] from Operation: 8*156=1248 Current State: 96:[13, 1248], Operations: ['97+59=156', '8*156=1248'] Exploring Operation: 1248/13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 95, 93, 94, 14 ]
66
[ "95-93=2", "14*2=28", "94-28=66" ]
Current State: 66:[95, 93, 94, 14], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [94, 14, 2] Generated Node #2: [94, 14, 2] from Operation: 95-93=2 Current State: 66:[94, 14, 2], Operations: ['95-93=2'] Exploring Operation: 14*2=28, Resulting Numbers: [94, 28] Generated Node #3: [94, 28] from Operation: 14*2=28 Current State: 66:[94, 28], Operations: ['95-93=2', '14*2=28'] Exploring Operation: 94-28=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 19, 3, 29, 70 ]
19
[ "19+3=22", "70-29=41", "41-22=19" ]
Current State: 19:[19, 3, 29, 70], Operations: [] Exploring Operation: 19+3=22, Resulting Numbers: [29, 70, 22] Generated Node #2: [29, 70, 22] from Operation: 19+3=22 Current State: 19:[29, 70, 22], Operations: ['19+3=22'] Exploring Operation: 70-29=41, Resulting Numbers: [22, 41] Generated Node #3: [22, 41] from Operation: 70-29=41 Current State: 19:[22, 41], Operations: ['19+3=22', '70-29=41'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 19, 76, 23 ]
88
[ "19-8=11", "76+23=99", "99-11=88" ]
Current State: 88:[8, 19, 76, 23], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [76, 23, 11] Generated Node #2: [76, 23, 11] from Operation: 19-8=11 Current State: 88:[76, 23, 11], Operations: ['19-8=11'] Exploring Operation: 76+23=99, Resulting Numbers: [11, 99] Generated Node #3: [11, 99] from Operation: 76+23=99 Current State: 88:[11, 99], Operations: ['19-8=11', '76+23=99'] Exploring Operation: 99-11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 52, 67, 89, 75 ]
25
[ "52*75=3900", "67+89=156", "3900/156=25" ]
Current State: 25:[52, 67, 89, 75], Operations: [] Exploring Operation: 52*75=3900, Resulting Numbers: [67, 89, 3900] Generated Node #2: [67, 89, 3900] from Operation: 52*75=3900 Current State: 25:[67, 89, 3900], Operations: ['52*75=3900'] Exploring Operation: 67+89=156, Resulting Numbers: [3900, 156] Generated Node #3: [3900, 156] from Operation: 67+89=156 Current State: 25:[3900, 156], Operations: ['52*75=3900', '67+89=156'] Exploring Operation: 3900/156=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 38, 75, 92 ]
87
[ "42+38=80", "75+92=167", "167-80=87" ]
Current State: 87:[42, 38, 75, 92], Operations: [] Exploring Operation: 42+38=80, Resulting Numbers: [75, 92, 80] Generated Node #2: [75, 92, 80] from Operation: 42+38=80 Current State: 87:[75, 92, 80], Operations: ['42+38=80'] Exploring Operation: 75+92=167, Resulting Numbers: [80, 167] Generated Node #3: [80, 167] from Operation: 75+92=167 Current State: 87:[80, 167], Operations: ['42+38=80', '75+92=167'] Exploring Operation: 167-80=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 86, 76, 13 ]
57
[ "87-76=11", "13*11=143", "143-86=57" ]
Current State: 57:[87, 86, 76, 13], Operations: [] Exploring Operation: 87-76=11, Resulting Numbers: [86, 13, 11] Generated Node #2: [86, 13, 11] from Operation: 87-76=11 Current State: 57:[86, 13, 11], Operations: ['87-76=11'] Exploring Operation: 13*11=143, Resulting Numbers: [86, 143] Generated Node #3: [86, 143] from Operation: 13*11=143 Current State: 57:[86, 143], Operations: ['87-76=11', '13*11=143'] Exploring Operation: 143-86=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 32, 47, 16, 48 ]
52
[ "32+48=80", "80/16=5", "47+5=52" ]
Current State: 52:[32, 47, 16, 48], Operations: [] Exploring Operation: 32+48=80, Resulting Numbers: [47, 16, 80] Generated Node #2: [47, 16, 80] from Operation: 32+48=80 Current State: 52:[47, 16, 80], Operations: ['32+48=80'] Exploring Operation: 80/16=5, Resulting Numbers: [47, 5] Generated Node #3: [47, 5] from Operation: 80/16=5 Current State: 52:[47, 5], Operations: ['32+48=80', '80/16=5'] Exploring Operation: 47+5=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 43, 9, 2 ]
15
[ "5+43=48", "48/2=24", "24-9=15" ]
Current State: 15:[5, 43, 9, 2], Operations: [] Exploring Operation: 5+43=48, Resulting Numbers: [9, 2, 48] Generated Node #2: [9, 2, 48] from Operation: 5+43=48 Current State: 15:[9, 2, 48], Operations: ['5+43=48'] Exploring Operation: 48/2=24, Resulting Numbers: [9, 24] Generated Node #3: [9, 24] from Operation: 48/2=24 Current State: 15:[9, 24], Operations: ['5+43=48', '48/2=24'] Exploring Operation: 24-9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 64, 79, 35, 59 ]
49
[ "64+79=143", "35+59=94", "143-94=49" ]
Current State: 49:[64, 79, 35, 59], Operations: [] Exploring Operation: 64+79=143, Resulting Numbers: [35, 59, 143] Generated Node #2: [35, 59, 143] from Operation: 64+79=143 Current State: 49:[35, 59, 143], Operations: ['64+79=143'] Exploring Operation: 35+59=94, Resulting Numbers: [143, 94] Generated Node #3: [143, 94] from Operation: 35+59=94 Current State: 49:[143, 94], Operations: ['64+79=143', '35+59=94'] Exploring Operation: 143-94=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 29, 63, 30, 40 ]
82
[ "29+63=92", "40-30=10", "92-10=82" ]
Current State: 82:[29, 63, 30, 40], Operations: [] Exploring Operation: 29+63=92, Resulting Numbers: [30, 40, 92] Generated Node #2: [30, 40, 92] from Operation: 29+63=92 Current State: 82:[30, 40, 92], Operations: ['29+63=92'] Exploring Operation: 40-30=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 40-30=10 Current State: 82:[92, 10], Operations: ['29+63=92', '40-30=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 5, 45, 31, 98 ]
15
[ "98-5=93", "45*31=1395", "1395/93=15" ]
Current State: 15:[5, 45, 31, 98], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [45, 31, 93] Generated Node #2: [45, 31, 93] from Operation: 98-5=93 Current State: 15:[45, 31, 93], Operations: ['98-5=93'] Exploring Operation: 45*31=1395, Resulting Numbers: [93, 1395] Generated Node #3: [93, 1395] from Operation: 45*31=1395 Current State: 15:[93, 1395], Operations: ['98-5=93', '45*31=1395'] Exploring Operation: 1395/93=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 77, 11, 75 ]
53
[ "77-44=33", "11+75=86", "86-33=53" ]
Current State: 53:[44, 77, 11, 75], Operations: [] Exploring Operation: 77-44=33, Resulting Numbers: [11, 75, 33] Generated Node #2: [11, 75, 33] from Operation: 77-44=33 Current State: 53:[11, 75, 33], Operations: ['77-44=33'] Exploring Operation: 11+75=86, Resulting Numbers: [33, 86] Generated Node #3: [33, 86] from Operation: 11+75=86 Current State: 53:[33, 86], Operations: ['77-44=33', '11+75=86'] Exploring Operation: 86-33=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 32, 25, 70, 66 ]
35
[ "32+66=98", "25*98=2450", "2450/70=35" ]
Current State: 35:[32, 25, 70, 66], Operations: [] Exploring Operation: 32+66=98, Resulting Numbers: [25, 70, 98] Generated Node #2: [25, 70, 98] from Operation: 32+66=98 Current State: 35:[25, 70, 98], Operations: ['32+66=98'] Exploring Operation: 25*98=2450, Resulting Numbers: [70, 2450] Generated Node #3: [70, 2450] from Operation: 25*98=2450 Current State: 35:[70, 2450], Operations: ['32+66=98', '25*98=2450'] Exploring Operation: 2450/70=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 61, 25, 30 ]
36
[ "25/5=5", "61-30=31", "5+31=36" ]
Current State: 36:[5, 61, 25, 30], Operations: [] Exploring Operation: 25/5=5, Resulting Numbers: [61, 30, 5] Generated Node #2: [61, 30, 5] from Operation: 25/5=5 Current State: 36:[61, 30, 5], Operations: ['25/5=5'] Exploring Operation: 61-30=31, Resulting Numbers: [5, 31] Generated Node #3: [5, 31] from Operation: 61-30=31 Current State: 36:[5, 31], Operations: ['25/5=5', '61-30=31'] Exploring Operation: 5+31=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 11, 90, 48, 41 ]
13
[ "48-41=7", "11*7=77", "90-77=13" ]
Current State: 13:[11, 90, 48, 41], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [11, 90, 7] Generated Node #2: [11, 90, 7] from Operation: 48-41=7 Current State: 13:[11, 90, 7], Operations: ['48-41=7'] Exploring Operation: 11*7=77, Resulting Numbers: [90, 77] Generated Node #3: [90, 77] from Operation: 11*7=77 Current State: 13:[90, 77], Operations: ['48-41=7', '11*7=77'] Exploring Operation: 90-77=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 44, 23, 35, 9 ]
47
[ "44-23=21", "35-9=26", "21+26=47" ]
Current State: 47:[44, 23, 35, 9], Operations: [] Exploring Operation: 44-23=21, Resulting Numbers: [35, 9, 21] Generated Node #2: [35, 9, 21] from Operation: 44-23=21 Current State: 47:[35, 9, 21], Operations: ['44-23=21'] Exploring Operation: 35-9=26, Resulting Numbers: [21, 26] Generated Node #3: [21, 26] from Operation: 35-9=26 Current State: 47:[21, 26], Operations: ['44-23=21', '35-9=26'] Exploring Operation: 21+26=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 47, 28, 43, 50 ]
82
[ "47+28=75", "50-43=7", "75+7=82" ]
Current State: 82:[47, 28, 43, 50], Operations: [] Exploring Operation: 47+28=75, Resulting Numbers: [43, 50, 75] Generated Node #2: [43, 50, 75] from Operation: 47+28=75 Current State: 82:[43, 50, 75], Operations: ['47+28=75'] Exploring Operation: 50-43=7, Resulting Numbers: [75, 7] Generated Node #3: [75, 7] from Operation: 50-43=7 Current State: 82:[75, 7], Operations: ['47+28=75', '50-43=7'] Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 88, 99, 64, 19 ]
53
[ "99*64=6336", "6336/88=72", "72-19=53" ]
Current State: 53:[88, 99, 64, 19], Operations: [] Exploring Operation: 99*64=6336, Resulting Numbers: [88, 19, 6336] Generated Node #2: [88, 19, 6336] from Operation: 99*64=6336 Current State: 53:[88, 19, 6336], Operations: ['99*64=6336'] Exploring Operation: 6336/88=72, Resulting Numbers: [19, 72] Generated Node #3: [19, 72] from Operation: 6336/88=72 Current State: 53:[19, 72], Operations: ['99*64=6336', '6336/88=72'] Exploring Operation: 72-19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 69, 56, 94, 71 ]
53
[ "94-71=23", "69/23=3", "56-3=53" ]
Current State: 53:[69, 56, 94, 71], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [69, 56, 23] Generated Node #2: [69, 56, 23] from Operation: 94-71=23 Current State: 53:[69, 56, 23], Operations: ['94-71=23'] Exploring Operation: 69/23=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 69/23=3 Current State: 53:[56, 3], Operations: ['94-71=23', '69/23=3'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 85, 7, 39, 4 ]
57
[ "85+7=92", "39-4=35", "92-35=57" ]
Current State: 57:[85, 7, 39, 4], Operations: [] Exploring Operation: 85+7=92, Resulting Numbers: [39, 4, 92] Generated Node #2: [39, 4, 92] from Operation: 85+7=92 Current State: 57:[39, 4, 92], Operations: ['85+7=92'] Exploring Operation: 39-4=35, Resulting Numbers: [92, 35] Generated Node #3: [92, 35] from Operation: 39-4=35 Current State: 57:[92, 35], Operations: ['85+7=92', '39-4=35'] Exploring Operation: 92-35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 42, 50, 60, 36 ]
52
[ "60-42=18", "36/18=2", "50+2=52" ]
Current State: 52:[42, 50, 60, 36], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [50, 36, 18] Generated Node #2: [50, 36, 18] from Operation: 60-42=18 Current State: 52:[50, 36, 18], Operations: ['60-42=18'] Exploring Operation: 36/18=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 36/18=2 Current State: 52:[50, 2], Operations: ['60-42=18', '36/18=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 14, 2, 22, 6 ]
35
[ "14/2=7", "22+6=28", "7+28=35" ]
Current State: 35:[14, 2, 22, 6], Operations: [] Exploring Operation: 14/2=7, Resulting Numbers: [22, 6, 7] Generated Node #2: [22, 6, 7] from Operation: 14/2=7 Current State: 35:[22, 6, 7], Operations: ['14/2=7'] Exploring Operation: 22+6=28, Resulting Numbers: [7, 28] Generated Node #3: [7, 28] from Operation: 22+6=28 Current State: 35:[7, 28], Operations: ['14/2=7', '22+6=28'] Exploring Operation: 7+28=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 84, 47, 76, 56 ]
17
[ "84-47=37", "76-56=20", "37-20=17" ]
Current State: 17:[84, 47, 76, 56], Operations: [] Exploring Operation: 84-47=37, Resulting Numbers: [76, 56, 37] Generated Node #2: [76, 56, 37] from Operation: 84-47=37 Current State: 17:[76, 56, 37], Operations: ['84-47=37'] Exploring Operation: 76-56=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 76-56=20 Current State: 17:[37, 20], Operations: ['84-47=37', '76-56=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 29, 37, 82, 56 ]
72
[ "29+37=66", "82+56=138", "138-66=72" ]
Current State: 72:[29, 37, 82, 56], Operations: [] Exploring Operation: 29+37=66, Resulting Numbers: [82, 56, 66] Generated Node #2: [82, 56, 66] from Operation: 29+37=66 Current State: 72:[82, 56, 66], Operations: ['29+37=66'] Exploring Operation: 82+56=138, Resulting Numbers: [66, 138] Generated Node #3: [66, 138] from Operation: 82+56=138 Current State: 72:[66, 138], Operations: ['29+37=66', '82+56=138'] Exploring Operation: 138-66=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 77, 96, 27 ]
53
[ "93-77=16", "96-27=69", "69-16=53" ]
Current State: 53:[93, 77, 96, 27], Operations: [] Exploring Operation: 93-77=16, Resulting Numbers: [96, 27, 16] Generated Node #2: [96, 27, 16] from Operation: 93-77=16 Current State: 53:[96, 27, 16], Operations: ['93-77=16'] Exploring Operation: 96-27=69, Resulting Numbers: [16, 69] Generated Node #3: [16, 69] from Operation: 96-27=69 Current State: 53:[16, 69], Operations: ['93-77=16', '96-27=69'] Exploring Operation: 69-16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 71, 8, 76, 40 ]
43
[ "71+8=79", "76-40=36", "79-36=43" ]
Current State: 43:[71, 8, 76, 40], Operations: [] Exploring Operation: 71+8=79, Resulting Numbers: [76, 40, 79] Generated Node #2: [76, 40, 79] from Operation: 71+8=79 Current State: 43:[76, 40, 79], Operations: ['71+8=79'] Exploring Operation: 76-40=36, Resulting Numbers: [79, 36] Generated Node #3: [79, 36] from Operation: 76-40=36 Current State: 43:[79, 36], Operations: ['71+8=79', '76-40=36'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 4, 95, 20, 75 ]
44
[ "4+95=99", "75-20=55", "99-55=44" ]
Current State: 44:[4, 95, 20, 75], Operations: [] Exploring Operation: 4+95=99, Resulting Numbers: [20, 75, 99] Generated Node #2: [20, 75, 99] from Operation: 4+95=99 Current State: 44:[20, 75, 99], Operations: ['4+95=99'] Exploring Operation: 75-20=55, Resulting Numbers: [99, 55] Generated Node #3: [99, 55] from Operation: 75-20=55 Current State: 44:[99, 55], Operations: ['4+95=99', '75-20=55'] Exploring Operation: 99-55=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 86, 43, 86, 58 ]
60
[ "86-43=43", "86/43=2", "58+2=60" ]
Current State: 60:[86, 43, 86, 58], Operations: [] Exploring Operation: 86-43=43, Resulting Numbers: [58, 43] Generated Node #2: [58, 43] from Operation: 86-43=43 Current State: 60:[58, 43], Operations: ['86-43=43'] Exploring Operation: 86/43=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 86/43=2 Current State: 60:[58, 2], Operations: ['86-43=43', '86/43=2'] Exploring Operation: 58+2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 70, 68, 72, 2 ]
73
[ "70-68=2", "2/2=1", "72+1=73" ]
Current State: 73:[70, 68, 72, 2], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [72, 2, 2] Generated Node #2: [72, 2, 2] from Operation: 70-68=2 Current State: 73:[72, 2, 2], Operations: ['70-68=2'] Exploring Operation: 2/2=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 2/2=1 Current State: 73:[72, 1], Operations: ['70-68=2', '2/2=1'] Exploring Operation: 72+1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 15, 46, 61, 4 ]
27
[ "15+61=76", "76/4=19", "46-19=27" ]
Current State: 27:[15, 46, 61, 4], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [46, 4, 76] Generated Node #2: [46, 4, 76] from Operation: 15+61=76 Current State: 27:[46, 4, 76], Operations: ['15+61=76'] Exploring Operation: 76/4=19, Resulting Numbers: [46, 19] Generated Node #3: [46, 19] from Operation: 76/4=19 Current State: 27:[46, 19], Operations: ['15+61=76', '76/4=19'] Exploring Operation: 46-19=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 51, 50, 2, 69 ]
59
[ "69-51=18", "18/2=9", "50+9=59" ]
Current State: 59:[51, 50, 2, 69], Operations: [] Exploring Operation: 69-51=18, Resulting Numbers: [50, 2, 18] Generated Node #2: [50, 2, 18] from Operation: 69-51=18 Current State: 59:[50, 2, 18], Operations: ['69-51=18'] Exploring Operation: 18/2=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 18/2=9 Current State: 59:[50, 9], Operations: ['69-51=18', '18/2=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 84, 5, 14, 39 ]
23
[ "84-39=45", "45/5=9", "14+9=23" ]
Current State: 23:[84, 5, 14, 39], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [5, 14, 45] Generated Node #2: [5, 14, 45] from Operation: 84-39=45 Current State: 23:[5, 14, 45], Operations: ['84-39=45'] Exploring Operation: 45/5=9, Resulting Numbers: [14, 9] Generated Node #3: [14, 9] from Operation: 45/5=9 Current State: 23:[14, 9], Operations: ['84-39=45', '45/5=9'] Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 99, 23, 12, 26 ]
45
[ "26-23=3", "99/3=33", "12+33=45" ]
Current State: 45:[99, 23, 12, 26], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [99, 12, 3] Generated Node #2: [99, 12, 3] from Operation: 26-23=3 Current State: 45:[99, 12, 3], Operations: ['26-23=3'] Exploring Operation: 99/3=33, Resulting Numbers: [12, 33] Generated Node #3: [12, 33] from Operation: 99/3=33 Current State: 45:[12, 33], Operations: ['26-23=3', '99/3=33'] Exploring Operation: 12+33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 72, 8, 15 ]
37
[ "15-8=7", "5*7=35", "72-35=37" ]
Current State: 37:[5, 72, 8, 15], Operations: [] Exploring Operation: 15-8=7, Resulting Numbers: [5, 72, 7] Generated Node #2: [5, 72, 7] from Operation: 15-8=7 Current State: 37:[5, 72, 7], Operations: ['15-8=7'] Exploring Operation: 5*7=35, Resulting Numbers: [72, 35] Generated Node #3: [72, 35] from Operation: 5*7=35 Current State: 37:[72, 35], Operations: ['15-8=7', '5*7=35'] Exploring Operation: 72-35=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 85, 47, 11, 2 ]
51
[ "85-47=38", "11+2=13", "38+13=51" ]
Current State: 51:[85, 47, 11, 2], Operations: [] Exploring Operation: 85-47=38, Resulting Numbers: [11, 2, 38] Generated Node #2: [11, 2, 38] from Operation: 85-47=38 Current State: 51:[11, 2, 38], Operations: ['85-47=38'] Exploring Operation: 11+2=13, Resulting Numbers: [38, 13] Generated Node #3: [38, 13] from Operation: 11+2=13 Current State: 51:[38, 13], Operations: ['85-47=38', '11+2=13'] Exploring Operation: 38+13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4