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
[ 62, 12, 16, 39 ]
19
[ "62+12=74", "16+39=55", "74-55=19" ]
Current State: 19:[62, 12, 16, 39], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [16, 39, 74] Generated Node #2: [16, 39, 74] from Operation: 62+12=74 Current State: 19:[16, 39, 74], Operations: ['62+12=74'] Exploring Operation: 16+39=55, Resulting Numbers: [74, 55] Generated Node #3: [74, 55] from Operation: 16+39=55 Current State: 19:[74, 55], Operations: ['62+12=74', '16+39=55'] Exploring Operation: 74-55=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 64, 43, 72 ]
55
[ "43-35=8", "72/8=9", "64-9=55" ]
Current State: 55:[35, 64, 43, 72], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [64, 72, 8] Generated Node #2: [64, 72, 8] from Operation: 43-35=8 Current State: 55:[64, 72, 8], Operations: ['43-35=8'] Exploring Operation: 72/8=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 72/8=9 Current State: 55:[64, 9], Operations: ['43-35=8', '72/8=9'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 19, 56, 38, 14 ]
89
[ "56-19=37", "38+14=52", "37+52=89" ]
Current State: 89:[19, 56, 38, 14], Operations: [] Exploring Operation: 56-19=37, Resulting Numbers: [38, 14, 37] Generated Node #2: [38, 14, 37] from Operation: 56-19=37 Current State: 89:[38, 14, 37], Operations: ['56-19=37'] Exploring Operation: 38+14=52, Resulting Numbers: [37, 52] Generated Node #3: [37, 52] from Operation: 38+14=52 Current State: 89:[37, 52], Operations: ['56-19=37', '38+14=52'] Exploring Operation: 37+52=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 44, 69, 72, 54 ]
95
[ "44+69=113", "72-54=18", "113-18=95" ]
Current State: 95:[44, 69, 72, 54], Operations: [] Exploring Operation: 44+69=113, Resulting Numbers: [72, 54, 113] Generated Node #2: [72, 54, 113] from Operation: 44+69=113 Current State: 95:[72, 54, 113], Operations: ['44+69=113'] Exploring Operation: 72-54=18, Resulting Numbers: [113, 18] Generated Node #3: [113, 18] from Operation: 72-54=18 Current State: 95:[113, 18], Operations: ['44+69=113', '72-54=18'] Exploring Operation: 113-18=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 62, 82, 31, 58 ]
34
[ "62/31=2", "58*2=116", "116-82=34" ]
Current State: 34:[62, 82, 31, 58], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [82, 58, 2] Generated Node #2: [82, 58, 2] from Operation: 62/31=2 Current State: 34:[82, 58, 2], Operations: ['62/31=2'] Exploring Operation: 58*2=116, Resulting Numbers: [82, 116] Generated Node #3: [82, 116] from Operation: 58*2=116 Current State: 34:[82, 116], Operations: ['62/31=2', '58*2=116'] Exploring Operation: 116-82=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 19, 37, 10, 3 ]
100
[ "37-10=27", "3*27=81", "19+81=100" ]
Current State: 100:[19, 37, 10, 3], Operations: [] Exploring Operation: 37-10=27, Resulting Numbers: [19, 3, 27] Generated Node #2: [19, 3, 27] from Operation: 37-10=27 Current State: 100:[19, 3, 27], Operations: ['37-10=27'] Exploring Operation: 3*27=81, Resulting Numbers: [19, 81] Generated Node #3: [19, 81] from Operation: 3*27=81 Current State: 100:[19, 81], Operations: ['37-10=27', '3*27=81'] Exploring Operation: 19+81=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 25, 92, 57, 32 ]
42
[ "92-25=67", "57-32=25", "67-25=42" ]
Current State: 42:[25, 92, 57, 32], Operations: [] Exploring Operation: 92-25=67, Resulting Numbers: [57, 32, 67] Generated Node #2: [57, 32, 67] from Operation: 92-25=67 Current State: 42:[57, 32, 67], Operations: ['92-25=67'] Exploring Operation: 57-32=25, Resulting Numbers: [67, 25] Generated Node #3: [67, 25] from Operation: 57-32=25 Current State: 42:[67, 25], Operations: ['92-25=67', '57-32=25'] Exploring Operation: 67-25=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 46, 87, 42 ]
70
[ "71-46=25", "87-42=45", "25+45=70" ]
Current State: 70:[71, 46, 87, 42], Operations: [] Exploring Operation: 71-46=25, Resulting Numbers: [87, 42, 25] Generated Node #2: [87, 42, 25] from Operation: 71-46=25 Current State: 70:[87, 42, 25], Operations: ['71-46=25'] Exploring Operation: 87-42=45, Resulting Numbers: [25, 45] Generated Node #3: [25, 45] from Operation: 87-42=45 Current State: 70:[25, 45], Operations: ['71-46=25', '87-42=45'] Exploring Operation: 25+45=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 28, 41, 5, 77 ]
99
[ "41-5=36", "77*36=2772", "2772/28=99" ]
Current State: 99:[28, 41, 5, 77], Operations: [] Exploring Operation: 41-5=36, Resulting Numbers: [28, 77, 36] Generated Node #2: [28, 77, 36] from Operation: 41-5=36 Current State: 99:[28, 77, 36], Operations: ['41-5=36'] Exploring Operation: 77*36=2772, Resulting Numbers: [28, 2772] Generated Node #3: [28, 2772] from Operation: 77*36=2772 Current State: 99:[28, 2772], Operations: ['41-5=36', '77*36=2772'] Exploring Operation: 2772/28=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 77, 1, 54, 48 ]
70
[ "77-1=76", "54-48=6", "76-6=70" ]
Current State: 70:[77, 1, 54, 48], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [54, 48, 76] Generated Node #2: [54, 48, 76] from Operation: 77-1=76 Current State: 70:[54, 48, 76], Operations: ['77-1=76'] Exploring Operation: 54-48=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 54-48=6 Current State: 70:[76, 6], Operations: ['77-1=76', '54-48=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 47, 69, 43 ]
18
[ "47-3=44", "69-43=26", "44-26=18" ]
Current State: 18:[3, 47, 69, 43], Operations: [] Exploring Operation: 47-3=44, Resulting Numbers: [69, 43, 44] Generated Node #2: [69, 43, 44] from Operation: 47-3=44 Current State: 18:[69, 43, 44], Operations: ['47-3=44'] Exploring Operation: 69-43=26, Resulting Numbers: [44, 26] Generated Node #3: [44, 26] from Operation: 69-43=26 Current State: 18:[44, 26], Operations: ['47-3=44', '69-43=26'] Exploring Operation: 44-26=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 11, 33, 26, 72 ]
68
[ "33-11=22", "72-26=46", "22+46=68" ]
Current State: 68:[11, 33, 26, 72], Operations: [] Exploring Operation: 33-11=22, Resulting Numbers: [26, 72, 22] Generated Node #2: [26, 72, 22] from Operation: 33-11=22 Current State: 68:[26, 72, 22], Operations: ['33-11=22'] Exploring Operation: 72-26=46, Resulting Numbers: [22, 46] Generated Node #3: [22, 46] from Operation: 72-26=46 Current State: 68:[22, 46], Operations: ['33-11=22', '72-26=46'] Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 10, 75, 30, 57 ]
38
[ "75-10=65", "57-30=27", "65-27=38" ]
Current State: 38:[10, 75, 30, 57], Operations: [] Exploring Operation: 75-10=65, Resulting Numbers: [30, 57, 65] Generated Node #2: [30, 57, 65] from Operation: 75-10=65 Current State: 38:[30, 57, 65], Operations: ['75-10=65'] Exploring Operation: 57-30=27, Resulting Numbers: [65, 27] Generated Node #3: [65, 27] from Operation: 57-30=27 Current State: 38:[65, 27], Operations: ['75-10=65', '57-30=27'] Exploring Operation: 65-27=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 62, 98, 60, 69 ]
27
[ "98-62=36", "69-60=9", "36-9=27" ]
Current State: 27:[62, 98, 60, 69], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [60, 69, 36] Generated Node #2: [60, 69, 36] from Operation: 98-62=36 Current State: 27:[60, 69, 36], Operations: ['98-62=36'] Exploring Operation: 69-60=9, Resulting Numbers: [36, 9] Generated Node #3: [36, 9] from Operation: 69-60=9 Current State: 27:[36, 9], Operations: ['98-62=36', '69-60=9'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 78, 86, 55 ]
57
[ "78/3=26", "86-55=31", "26+31=57" ]
Current State: 57:[3, 78, 86, 55], Operations: [] Exploring Operation: 78/3=26, Resulting Numbers: [86, 55, 26] Generated Node #2: [86, 55, 26] from Operation: 78/3=26 Current State: 57:[86, 55, 26], Operations: ['78/3=26'] Exploring Operation: 86-55=31, Resulting Numbers: [26, 31] Generated Node #3: [26, 31] from Operation: 86-55=31 Current State: 57:[26, 31], Operations: ['78/3=26', '86-55=31'] Exploring Operation: 26+31=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 93, 32, 52, 64 ]
67
[ "32*52=1664", "1664/64=26", "93-26=67" ]
Current State: 67:[93, 32, 52, 64], Operations: [] Exploring Operation: 32*52=1664, Resulting Numbers: [93, 64, 1664] Generated Node #2: [93, 64, 1664] from Operation: 32*52=1664 Current State: 67:[93, 64, 1664], Operations: ['32*52=1664'] Exploring Operation: 1664/64=26, Resulting Numbers: [93, 26] Generated Node #3: [93, 26] from Operation: 1664/64=26 Current State: 67:[93, 26], Operations: ['32*52=1664', '1664/64=26'] Exploring Operation: 93-26=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 23, 7, 65 ]
56
[ "50+23=73", "73-65=8", "7*8=56" ]
Current State: 56:[50, 23, 7, 65], Operations: [] Exploring Operation: 50+23=73, Resulting Numbers: [7, 65, 73] Generated Node #2: [7, 65, 73] from Operation: 50+23=73 Current State: 56:[7, 65, 73], Operations: ['50+23=73'] Exploring Operation: 73-65=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 73-65=8 Current State: 56:[7, 8], Operations: ['50+23=73', '73-65=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 85, 41, 48 ]
29
[ "72*48=3456", "85*41=3485", "3485-3456=29" ]
Current State: 29:[72, 85, 41, 48], Operations: [] Exploring Operation: 72*48=3456, Resulting Numbers: [85, 41, 3456] Generated Node #2: [85, 41, 3456] from Operation: 72*48=3456 Current State: 29:[85, 41, 3456], Operations: ['72*48=3456'] Exploring Operation: 85*41=3485, Resulting Numbers: [3456, 3485] Generated Node #3: [3456, 3485] from Operation: 85*41=3485 Current State: 29:[3456, 3485], Operations: ['72*48=3456', '85*41=3485'] Exploring Operation: 3485-3456=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 85, 73, 26, 55 ]
93
[ "85-73=12", "26+55=81", "12+81=93" ]
Current State: 93:[85, 73, 26, 55], Operations: [] Exploring Operation: 85-73=12, Resulting Numbers: [26, 55, 12] Generated Node #2: [26, 55, 12] from Operation: 85-73=12 Current State: 93:[26, 55, 12], Operations: ['85-73=12'] Exploring Operation: 26+55=81, Resulting Numbers: [12, 81] Generated Node #3: [12, 81] from Operation: 26+55=81 Current State: 93:[12, 81], Operations: ['85-73=12', '26+55=81'] Exploring Operation: 12+81=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 2, 94, 36 ]
65
[ "94/2=47", "36/2=18", "47+18=65" ]
Current State: 65:[2, 2, 94, 36], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [36, 47] Generated Node #2: [36, 47] from Operation: 94/2=47 Current State: 65:[36, 47], Operations: ['94/2=47'] Exploring Operation: 36/2=18, Resulting Numbers: [47, 18] Generated Node #3: [47, 18] from Operation: 36/2=18 Current State: 65:[47, 18], Operations: ['94/2=47', '36/2=18'] Exploring Operation: 47+18=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 26, 26, 50 ]
53
[ "49-26=23", "26+50=76", "76-23=53" ]
Current State: 53:[49, 26, 26, 50], Operations: [] Exploring Operation: 49-26=23, Resulting Numbers: [50, 23] Generated Node #2: [50, 23] from Operation: 49-26=23 Current State: 53:[50, 23], Operations: ['49-26=23'] Exploring Operation: 26+50=76, Resulting Numbers: [23, 76] Generated Node #3: [23, 76] from Operation: 26+50=76 Current State: 53:[23, 76], Operations: ['49-26=23', '26+50=76'] Exploring Operation: 76-23=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 22, 65, 29, 55 ]
55
[ "22*65=1430", "55-29=26", "1430/26=55" ]
Current State: 55:[22, 65, 29, 55], Operations: [] Exploring Operation: 22*65=1430, Resulting Numbers: [29, 55, 1430] Generated Node #2: [29, 55, 1430] from Operation: 22*65=1430 Current State: 55:[29, 55, 1430], Operations: ['22*65=1430'] Exploring Operation: 55-29=26, Resulting Numbers: [1430, 26] Generated Node #3: [1430, 26] from Operation: 55-29=26 Current State: 55:[1430, 26], Operations: ['22*65=1430', '55-29=26'] Exploring Operation: 1430/26=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 47, 24, 60, 82 ]
45
[ "47-24=23", "82-60=22", "23+22=45" ]
Current State: 45:[47, 24, 60, 82], Operations: [] Exploring Operation: 47-24=23, Resulting Numbers: [60, 82, 23] Generated Node #2: [60, 82, 23] from Operation: 47-24=23 Current State: 45:[60, 82, 23], Operations: ['47-24=23'] Exploring Operation: 82-60=22, Resulting Numbers: [23, 22] Generated Node #3: [23, 22] from Operation: 82-60=22 Current State: 45:[23, 22], Operations: ['47-24=23', '82-60=22'] Exploring Operation: 23+22=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 80, 32, 37, 75 ]
95
[ "37-32=5", "75/5=15", "80+15=95" ]
Current State: 95:[80, 32, 37, 75], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [80, 75, 5] Generated Node #2: [80, 75, 5] from Operation: 37-32=5 Current State: 95:[80, 75, 5], Operations: ['37-32=5'] Exploring Operation: 75/5=15, Resulting Numbers: [80, 15] Generated Node #3: [80, 15] from Operation: 75/5=15 Current State: 95:[80, 15], Operations: ['37-32=5', '75/5=15'] Exploring Operation: 80+15=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 31, 73, 92, 5 ]
39
[ "31*92=2852", "2852-5=2847", "2847/73=39" ]
Current State: 39:[31, 73, 92, 5], Operations: [] Exploring Operation: 31*92=2852, Resulting Numbers: [73, 5, 2852] Generated Node #2: [73, 5, 2852] from Operation: 31*92=2852 Current State: 39:[73, 5, 2852], Operations: ['31*92=2852'] Exploring Operation: 2852-5=2847, Resulting Numbers: [73, 2847] Generated Node #3: [73, 2847] from Operation: 2852-5=2847 Current State: 39:[73, 2847], Operations: ['31*92=2852', '2852-5=2847'] Exploring Operation: 2847/73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 84, 60, 17 ]
21
[ "8+60=68", "84*17=1428", "1428/68=21" ]
Current State: 21:[8, 84, 60, 17], Operations: [] Exploring Operation: 8+60=68, Resulting Numbers: [84, 17, 68] Generated Node #2: [84, 17, 68] from Operation: 8+60=68 Current State: 21:[84, 17, 68], Operations: ['8+60=68'] Exploring Operation: 84*17=1428, Resulting Numbers: [68, 1428] Generated Node #3: [68, 1428] from Operation: 84*17=1428 Current State: 21:[68, 1428], Operations: ['8+60=68', '84*17=1428'] Exploring Operation: 1428/68=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 97, 22, 59, 92 ]
32
[ "97+22=119", "59+92=151", "151-119=32" ]
Current State: 32:[97, 22, 59, 92], Operations: [] Exploring Operation: 97+22=119, Resulting Numbers: [59, 92, 119] Generated Node #2: [59, 92, 119] from Operation: 97+22=119 Current State: 32:[59, 92, 119], Operations: ['97+22=119'] Exploring Operation: 59+92=151, Resulting Numbers: [119, 151] Generated Node #3: [119, 151] from Operation: 59+92=151 Current State: 32:[119, 151], Operations: ['97+22=119', '59+92=151'] Exploring Operation: 151-119=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 48, 45, 45, 15 ]
33
[ "48+45=93", "45+15=60", "93-60=33" ]
Current State: 33:[48, 45, 45, 15], Operations: [] Exploring Operation: 48+45=93, Resulting Numbers: [15, 93] Generated Node #2: [15, 93] from Operation: 48+45=93 Current State: 33:[15, 93], Operations: ['48+45=93'] Exploring Operation: 45+15=60, Resulting Numbers: [93, 60] Generated Node #3: [93, 60] from Operation: 45+15=60 Current State: 33:[93, 60], Operations: ['48+45=93', '45+15=60'] Exploring Operation: 93-60=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 13, 47, 39, 2 ]
23
[ "13+47=60", "39-2=37", "60-37=23" ]
Current State: 23:[13, 47, 39, 2], Operations: [] Exploring Operation: 13+47=60, Resulting Numbers: [39, 2, 60] Generated Node #2: [39, 2, 60] from Operation: 13+47=60 Current State: 23:[39, 2, 60], Operations: ['13+47=60'] Exploring Operation: 39-2=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 39-2=37 Current State: 23:[60, 37], Operations: ['13+47=60', '39-2=37'] Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 37, 1, 6 ]
63
[ "20+37=57", "1*6=6", "57+6=63" ]
Current State: 63:[20, 37, 1, 6], Operations: [] Exploring Operation: 20+37=57, Resulting Numbers: [1, 6, 57] Generated Node #2: [1, 6, 57] from Operation: 20+37=57 Current State: 63:[1, 6, 57], Operations: ['20+37=57'] Exploring Operation: 1*6=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 1*6=6 Current State: 63:[57, 6], Operations: ['20+37=57', '1*6=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 12, 96, 18, 48 ]
38
[ "96/12=8", "48-18=30", "8+30=38" ]
Current State: 38:[12, 96, 18, 48], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [18, 48, 8] Generated Node #2: [18, 48, 8] from Operation: 96/12=8 Current State: 38:[18, 48, 8], Operations: ['96/12=8'] Exploring Operation: 48-18=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 48-18=30 Current State: 38:[8, 30], Operations: ['96/12=8', '48-18=30'] Exploring Operation: 8+30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 56, 17, 84, 28 ]
18
[ "84-56=28", "28/28=1", "17+1=18" ]
Current State: 18:[56, 17, 84, 28], Operations: [] Exploring Operation: 84-56=28, Resulting Numbers: [17, 28, 28] Generated Node #2: [17, 28, 28] from Operation: 84-56=28 Current State: 18:[17, 28, 28], Operations: ['84-56=28'] Exploring Operation: 28/28=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 28/28=1 Current State: 18:[17, 1], Operations: ['84-56=28', '28/28=1'] Exploring Operation: 17+1=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 3, 80, 58, 2 ]
96
[ "80-3=77", "2*77=154", "154-58=96" ]
Current State: 96:[3, 80, 58, 2], Operations: [] Exploring Operation: 80-3=77, Resulting Numbers: [58, 2, 77] Generated Node #2: [58, 2, 77] from Operation: 80-3=77 Current State: 96:[58, 2, 77], Operations: ['80-3=77'] Exploring Operation: 2*77=154, Resulting Numbers: [58, 154] Generated Node #3: [58, 154] from Operation: 2*77=154 Current State: 96:[58, 154], Operations: ['80-3=77', '2*77=154'] Exploring Operation: 154-58=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 51, 74, 92, 81 ]
85
[ "74-51=23", "92/23=4", "81+4=85" ]
Current State: 85:[51, 74, 92, 81], Operations: [] Exploring Operation: 74-51=23, Resulting Numbers: [92, 81, 23] Generated Node #2: [92, 81, 23] from Operation: 74-51=23 Current State: 85:[92, 81, 23], Operations: ['74-51=23'] Exploring Operation: 92/23=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 92/23=4 Current State: 85:[81, 4], Operations: ['74-51=23', '92/23=4'] Exploring Operation: 81+4=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 19, 11, 96, 9 ]
16
[ "19+96=115", "11*9=99", "115-99=16" ]
Current State: 16:[19, 11, 96, 9], Operations: [] Exploring Operation: 19+96=115, Resulting Numbers: [11, 9, 115] Generated Node #2: [11, 9, 115] from Operation: 19+96=115 Current State: 16:[11, 9, 115], Operations: ['19+96=115'] Exploring Operation: 11*9=99, Resulting Numbers: [115, 99] Generated Node #3: [115, 99] from Operation: 11*9=99 Current State: 16:[115, 99], Operations: ['19+96=115', '11*9=99'] Exploring Operation: 115-99=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 51, 50, 59, 22 ]
38
[ "51-50=1", "59-22=37", "1+37=38" ]
Current State: 38:[51, 50, 59, 22], Operations: [] Exploring Operation: 51-50=1, Resulting Numbers: [59, 22, 1] Generated Node #2: [59, 22, 1] from Operation: 51-50=1 Current State: 38:[59, 22, 1], Operations: ['51-50=1'] Exploring Operation: 59-22=37, Resulting Numbers: [1, 37] Generated Node #3: [1, 37] from Operation: 59-22=37 Current State: 38:[1, 37], Operations: ['51-50=1', '59-22=37'] Exploring Operation: 1+37=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 50, 43, 81, 2 ]
26
[ "81-43=38", "2*38=76", "76-50=26" ]
Current State: 26:[50, 43, 81, 2], Operations: [] Exploring Operation: 81-43=38, Resulting Numbers: [50, 2, 38] Generated Node #2: [50, 2, 38] from Operation: 81-43=38 Current State: 26:[50, 2, 38], Operations: ['81-43=38'] Exploring Operation: 2*38=76, Resulting Numbers: [50, 76] Generated Node #3: [50, 76] from Operation: 2*38=76 Current State: 26:[50, 76], Operations: ['81-43=38', '2*38=76'] Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 8, 30, 58, 60 ]
71
[ "30+58=88", "88/8=11", "60+11=71" ]
Current State: 71:[8, 30, 58, 60], Operations: [] Exploring Operation: 30+58=88, Resulting Numbers: [8, 60, 88] Generated Node #2: [8, 60, 88] from Operation: 30+58=88 Current State: 71:[8, 60, 88], Operations: ['30+58=88'] Exploring Operation: 88/8=11, Resulting Numbers: [60, 11] Generated Node #3: [60, 11] from Operation: 88/8=11 Current State: 71:[60, 11], Operations: ['30+58=88', '88/8=11'] Exploring Operation: 60+11=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 27, 96, 73 ]
88
[ "38+27=65", "96-73=23", "65+23=88" ]
Current State: 88:[38, 27, 96, 73], Operations: [] Exploring Operation: 38+27=65, Resulting Numbers: [96, 73, 65] Generated Node #2: [96, 73, 65] from Operation: 38+27=65 Current State: 88:[96, 73, 65], Operations: ['38+27=65'] Exploring Operation: 96-73=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 96-73=23 Current State: 88:[65, 23], Operations: ['38+27=65', '96-73=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 38, 80, 7, 2 ]
85
[ "38+7=45", "80/2=40", "45+40=85" ]
Current State: 85:[38, 80, 7, 2], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [80, 2, 45] Generated Node #2: [80, 2, 45] from Operation: 38+7=45 Current State: 85:[80, 2, 45], Operations: ['38+7=45'] Exploring Operation: 80/2=40, Resulting Numbers: [45, 40] Generated Node #3: [45, 40] from Operation: 80/2=40 Current State: 85:[45, 40], Operations: ['38+7=45', '80/2=40'] Exploring Operation: 45+40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 55, 5, 56 ]
32
[ "37-5=32", "56-55=1", "32*1=32" ]
Current State: 32:[37, 55, 5, 56], Operations: [] Exploring Operation: 37-5=32, Resulting Numbers: [55, 56, 32] Generated Node #2: [55, 56, 32] from Operation: 37-5=32 Current State: 32:[55, 56, 32], Operations: ['37-5=32'] Exploring Operation: 56-55=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 56-55=1 Current State: 32:[32, 1], Operations: ['37-5=32', '56-55=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 3, 67, 89 ]
82
[ "77-3=74", "67+89=156", "156-74=82" ]
Current State: 82:[77, 3, 67, 89], Operations: [] Exploring Operation: 77-3=74, Resulting Numbers: [67, 89, 74] Generated Node #2: [67, 89, 74] from Operation: 77-3=74 Current State: 82:[67, 89, 74], Operations: ['77-3=74'] Exploring Operation: 67+89=156, Resulting Numbers: [74, 156] Generated Node #3: [74, 156] from Operation: 67+89=156 Current State: 82:[74, 156], Operations: ['77-3=74', '67+89=156'] Exploring Operation: 156-74=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 8, 44, 7, 30 ]
88
[ "8+7=15", "44*30=1320", "1320/15=88" ]
Current State: 88:[8, 44, 7, 30], Operations: [] Exploring Operation: 8+7=15, Resulting Numbers: [44, 30, 15] Generated Node #2: [44, 30, 15] from Operation: 8+7=15 Current State: 88:[44, 30, 15], Operations: ['8+7=15'] Exploring Operation: 44*30=1320, Resulting Numbers: [15, 1320] Generated Node #3: [15, 1320] from Operation: 44*30=1320 Current State: 88:[15, 1320], Operations: ['8+7=15', '44*30=1320'] Exploring Operation: 1320/15=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 88, 38, 71, 75 ]
20
[ "88+38=126", "71+75=146", "146-126=20" ]
Current State: 20:[88, 38, 71, 75], Operations: [] Exploring Operation: 88+38=126, Resulting Numbers: [71, 75, 126] Generated Node #2: [71, 75, 126] from Operation: 88+38=126 Current State: 20:[71, 75, 126], Operations: ['88+38=126'] Exploring Operation: 71+75=146, Resulting Numbers: [126, 146] Generated Node #3: [126, 146] from Operation: 71+75=146 Current State: 20:[126, 146], Operations: ['88+38=126', '71+75=146'] Exploring Operation: 146-126=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 41, 30, 74, 69 ]
23
[ "41+30=71", "74-71=3", "69/3=23" ]
Current State: 23:[41, 30, 74, 69], Operations: [] Exploring Operation: 41+30=71, Resulting Numbers: [74, 69, 71] Generated Node #2: [74, 69, 71] from Operation: 41+30=71 Current State: 23:[74, 69, 71], Operations: ['41+30=71'] Exploring Operation: 74-71=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 74-71=3 Current State: 23:[69, 3], Operations: ['41+30=71', '74-71=3'] Exploring Operation: 69/3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 61, 15, 93 ]
84
[ "61*15=915", "93+915=1008", "1008/12=84" ]
Current State: 84:[12, 61, 15, 93], Operations: [] Exploring Operation: 61*15=915, Resulting Numbers: [12, 93, 915] Generated Node #2: [12, 93, 915] from Operation: 61*15=915 Current State: 84:[12, 93, 915], Operations: ['61*15=915'] Exploring Operation: 93+915=1008, Resulting Numbers: [12, 1008] Generated Node #3: [12, 1008] from Operation: 93+915=1008 Current State: 84:[12, 1008], Operations: ['61*15=915', '93+915=1008'] Exploring Operation: 1008/12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 36, 22, 13 ]
45
[ "36-22=14", "14-13=1", "45*1=45" ]
Current State: 45:[45, 36, 22, 13], Operations: [] Exploring Operation: 36-22=14, Resulting Numbers: [45, 13, 14] Generated Node #2: [45, 13, 14] from Operation: 36-22=14 Current State: 45:[45, 13, 14], Operations: ['36-22=14'] Exploring Operation: 14-13=1, Resulting Numbers: [45, 1] Generated Node #3: [45, 1] from Operation: 14-13=1 Current State: 45:[45, 1], Operations: ['36-22=14', '14-13=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 89, 31, 65, 62 ]
61
[ "89-31=58", "65-62=3", "58+3=61" ]
Current State: 61:[89, 31, 65, 62], Operations: [] Exploring Operation: 89-31=58, Resulting Numbers: [65, 62, 58] Generated Node #2: [65, 62, 58] from Operation: 89-31=58 Current State: 61:[65, 62, 58], Operations: ['89-31=58'] Exploring Operation: 65-62=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 65-62=3 Current State: 61:[58, 3], Operations: ['89-31=58', '65-62=3'] Exploring Operation: 58+3=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 16, 22, 90, 68 ]
56
[ "16*90=1440", "22*68=1496", "1496-1440=56" ]
Current State: 56:[16, 22, 90, 68], Operations: [] Exploring Operation: 16*90=1440, Resulting Numbers: [22, 68, 1440] Generated Node #2: [22, 68, 1440] from Operation: 16*90=1440 Current State: 56:[22, 68, 1440], Operations: ['16*90=1440'] Exploring Operation: 22*68=1496, Resulting Numbers: [1440, 1496] Generated Node #3: [1440, 1496] from Operation: 22*68=1496 Current State: 56:[1440, 1496], Operations: ['16*90=1440', '22*68=1496'] Exploring Operation: 1496-1440=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 38, 6, 60, 51 ]
23
[ "38-6=32", "60-51=9", "32-9=23" ]
Current State: 23:[38, 6, 60, 51], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [60, 51, 32] Generated Node #2: [60, 51, 32] from Operation: 38-6=32 Current State: 23:[60, 51, 32], Operations: ['38-6=32'] Exploring Operation: 60-51=9, Resulting Numbers: [32, 9] Generated Node #3: [32, 9] from Operation: 60-51=9 Current State: 23:[32, 9], Operations: ['38-6=32', '60-51=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 19, 54, 22 ]
92
[ "54/9=6", "19*6=114", "114-22=92" ]
Current State: 92:[9, 19, 54, 22], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [19, 22, 6] Generated Node #2: [19, 22, 6] from Operation: 54/9=6 Current State: 92:[19, 22, 6], Operations: ['54/9=6'] Exploring Operation: 19*6=114, Resulting Numbers: [22, 114] Generated Node #3: [22, 114] from Operation: 19*6=114 Current State: 92:[22, 114], Operations: ['54/9=6', '19*6=114'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 8, 96, 32, 37 ]
13
[ "8*96=768", "768/32=24", "37-24=13" ]
Current State: 13:[8, 96, 32, 37], Operations: [] Exploring Operation: 8*96=768, Resulting Numbers: [32, 37, 768] Generated Node #2: [32, 37, 768] from Operation: 8*96=768 Current State: 13:[32, 37, 768], Operations: ['8*96=768'] Exploring Operation: 768/32=24, Resulting Numbers: [37, 24] Generated Node #3: [37, 24] from Operation: 768/32=24 Current State: 13:[37, 24], Operations: ['8*96=768', '768/32=24'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 69, 63, 45, 3 ]
43
[ "69-63=6", "6/3=2", "45-2=43" ]
Current State: 43:[69, 63, 45, 3], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [45, 3, 6] Generated Node #2: [45, 3, 6] from Operation: 69-63=6 Current State: 43:[45, 3, 6], Operations: ['69-63=6'] Exploring Operation: 6/3=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 6/3=2 Current State: 43:[45, 2], Operations: ['69-63=6', '6/3=2'] Exploring Operation: 45-2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 17, 10, 21, 38 ]
10
[ "17+10=27", "38-21=17", "27-17=10" ]
Current State: 10:[17, 10, 21, 38], Operations: [] Exploring Operation: 17+10=27, Resulting Numbers: [21, 38, 27] Generated Node #2: [21, 38, 27] from Operation: 17+10=27 Current State: 10:[21, 38, 27], Operations: ['17+10=27'] Exploring Operation: 38-21=17, Resulting Numbers: [27, 17] Generated Node #3: [27, 17] from Operation: 38-21=17 Current State: 10:[27, 17], Operations: ['17+10=27', '38-21=17'] Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 2, 31, 33 ]
95
[ "91+2=93", "33-31=2", "93+2=95" ]
Current State: 95:[91, 2, 31, 33], Operations: [] Exploring Operation: 91+2=93, Resulting Numbers: [31, 33, 93] Generated Node #2: [31, 33, 93] from Operation: 91+2=93 Current State: 95:[31, 33, 93], Operations: ['91+2=93'] Exploring Operation: 33-31=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 33-31=2 Current State: 95:[93, 2], Operations: ['91+2=93', '33-31=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 24, 96, 61 ]
17
[ "96-61=35", "35/5=7", "24-7=17" ]
Current State: 17:[5, 24, 96, 61], Operations: [] Exploring Operation: 96-61=35, Resulting Numbers: [5, 24, 35] Generated Node #2: [5, 24, 35] from Operation: 96-61=35 Current State: 17:[5, 24, 35], Operations: ['96-61=35'] Exploring Operation: 35/5=7, Resulting Numbers: [24, 7] Generated Node #3: [24, 7] from Operation: 35/5=7 Current State: 17:[24, 7], Operations: ['96-61=35', '35/5=7'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 66, 14, 79, 60 ]
99
[ "66+14=80", "79-60=19", "80+19=99" ]
Current State: 99:[66, 14, 79, 60], Operations: [] Exploring Operation: 66+14=80, Resulting Numbers: [79, 60, 80] Generated Node #2: [79, 60, 80] from Operation: 66+14=80 Current State: 99:[79, 60, 80], Operations: ['66+14=80'] Exploring Operation: 79-60=19, Resulting Numbers: [80, 19] Generated Node #3: [80, 19] from Operation: 79-60=19 Current State: 99:[80, 19], Operations: ['66+14=80', '79-60=19'] Exploring Operation: 80+19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 27, 2, 92, 43 ]
60
[ "43-27=16", "2*16=32", "92-32=60" ]
Current State: 60:[27, 2, 92, 43], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [2, 92, 16] Generated Node #2: [2, 92, 16] from Operation: 43-27=16 Current State: 60:[2, 92, 16], Operations: ['43-27=16'] Exploring Operation: 2*16=32, Resulting Numbers: [92, 32] Generated Node #3: [92, 32] from Operation: 2*16=32 Current State: 60:[92, 32], Operations: ['43-27=16', '2*16=32'] Exploring Operation: 92-32=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 5, 39, 9, 41 ]
23
[ "41-39=2", "9*2=18", "5+18=23" ]
Current State: 23:[5, 39, 9, 41], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [5, 9, 2] Generated Node #2: [5, 9, 2] from Operation: 41-39=2 Current State: 23:[5, 9, 2], Operations: ['41-39=2'] Exploring Operation: 9*2=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 9*2=18 Current State: 23:[5, 18], Operations: ['41-39=2', '9*2=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 70, 55, 55 ]
61
[ "70-9=61", "55-55=0", "61+0=61" ]
Current State: 61:[9, 70, 55, 55], Operations: [] Exploring Operation: 70-9=61, Resulting Numbers: [55, 55, 61] Generated Node #2: [55, 55, 61] from Operation: 70-9=61 Current State: 61:[55, 55, 61], Operations: ['70-9=61'] Exploring Operation: 55-55=0, Resulting Numbers: [61, 0] Generated Node #3: [61, 0] from Operation: 55-55=0 Current State: 61:[61, 0], Operations: ['70-9=61', '55-55=0'] Exploring Operation: 61+0=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 19, 78, 28, 23 ]
92
[ "19+78=97", "28-23=5", "97-5=92" ]
Current State: 92:[19, 78, 28, 23], Operations: [] Exploring Operation: 19+78=97, Resulting Numbers: [28, 23, 97] Generated Node #2: [28, 23, 97] from Operation: 19+78=97 Current State: 92:[28, 23, 97], Operations: ['19+78=97'] Exploring Operation: 28-23=5, Resulting Numbers: [97, 5] Generated Node #3: [97, 5] from Operation: 28-23=5 Current State: 92:[97, 5], Operations: ['19+78=97', '28-23=5'] Exploring Operation: 97-5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 84, 5, 40 ]
67
[ "45+40=85", "85/5=17", "84-17=67" ]
Current State: 67:[45, 84, 5, 40], Operations: [] Exploring Operation: 45+40=85, Resulting Numbers: [84, 5, 85] Generated Node #2: [84, 5, 85] from Operation: 45+40=85 Current State: 67:[84, 5, 85], Operations: ['45+40=85'] Exploring Operation: 85/5=17, Resulting Numbers: [84, 17] Generated Node #3: [84, 17] from Operation: 85/5=17 Current State: 67:[84, 17], Operations: ['45+40=85', '85/5=17'] Exploring Operation: 84-17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 96, 86, 18, 2 ]
62
[ "86-18=68", "68/2=34", "96-34=62" ]
Current State: 62:[96, 86, 18, 2], Operations: [] Exploring Operation: 86-18=68, Resulting Numbers: [96, 2, 68] Generated Node #2: [96, 2, 68] from Operation: 86-18=68 Current State: 62:[96, 2, 68], Operations: ['86-18=68'] Exploring Operation: 68/2=34, Resulting Numbers: [96, 34] Generated Node #3: [96, 34] from Operation: 68/2=34 Current State: 62:[96, 34], Operations: ['86-18=68', '68/2=34'] Exploring Operation: 96-34=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 2, 38, 10, 63 ]
93
[ "2+38=40", "63-10=53", "40+53=93" ]
Current State: 93:[2, 38, 10, 63], Operations: [] Exploring Operation: 2+38=40, Resulting Numbers: [10, 63, 40] Generated Node #2: [10, 63, 40] from Operation: 2+38=40 Current State: 93:[10, 63, 40], Operations: ['2+38=40'] Exploring Operation: 63-10=53, Resulting Numbers: [40, 53] Generated Node #3: [40, 53] from Operation: 63-10=53 Current State: 93:[40, 53], Operations: ['2+38=40', '63-10=53'] Exploring Operation: 40+53=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 82, 69, 15, 69 ]
67
[ "82+69=151", "15+69=84", "151-84=67" ]
Current State: 67:[82, 69, 15, 69], Operations: [] Exploring Operation: 82+69=151, Resulting Numbers: [15, 151] Generated Node #2: [15, 151] from Operation: 82+69=151 Current State: 67:[15, 151], Operations: ['82+69=151'] Exploring Operation: 15+69=84, Resulting Numbers: [151, 84] Generated Node #3: [151, 84] from Operation: 15+69=84 Current State: 67:[151, 84], Operations: ['82+69=151', '15+69=84'] Exploring Operation: 151-84=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 84, 70, 41, 15 ]
23
[ "84*15=1260", "1260/70=18", "41-18=23" ]
Current State: 23:[84, 70, 41, 15], Operations: [] Exploring Operation: 84*15=1260, Resulting Numbers: [70, 41, 1260] Generated Node #2: [70, 41, 1260] from Operation: 84*15=1260 Current State: 23:[70, 41, 1260], Operations: ['84*15=1260'] Exploring Operation: 1260/70=18, Resulting Numbers: [41, 18] Generated Node #3: [41, 18] from Operation: 1260/70=18 Current State: 23:[41, 18], Operations: ['84*15=1260', '1260/70=18'] Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 80, 82, 74, 1 ]
72
[ "82-80=2", "74*1=74", "74-2=72" ]
Current State: 72:[80, 82, 74, 1], Operations: [] Exploring Operation: 82-80=2, Resulting Numbers: [74, 1, 2] Generated Node #2: [74, 1, 2] from Operation: 82-80=2 Current State: 72:[74, 1, 2], Operations: ['82-80=2'] Exploring Operation: 74*1=74, Resulting Numbers: [2, 74] Generated Node #3: [2, 74] from Operation: 74*1=74 Current State: 72:[2, 74], Operations: ['82-80=2', '74*1=74'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 75, 23, 18 ]
46
[ "75-59=16", "18-16=2", "23*2=46" ]
Current State: 46:[59, 75, 23, 18], Operations: [] Exploring Operation: 75-59=16, Resulting Numbers: [23, 18, 16] Generated Node #2: [23, 18, 16] from Operation: 75-59=16 Current State: 46:[23, 18, 16], Operations: ['75-59=16'] Exploring Operation: 18-16=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 18-16=2 Current State: 46:[23, 2], Operations: ['75-59=16', '18-16=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 83, 73, 94, 11 ]
72
[ "94-83=11", "11/11=1", "73-1=72" ]
Current State: 72:[83, 73, 94, 11], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [73, 11, 11] Generated Node #2: [73, 11, 11] from Operation: 94-83=11 Current State: 72:[73, 11, 11], Operations: ['94-83=11'] Exploring Operation: 11/11=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 11/11=1 Current State: 72:[73, 1], Operations: ['94-83=11', '11/11=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 1, 37, 88 ]
97
[ "27+1=28", "37+88=125", "125-28=97" ]
Current State: 97:[27, 1, 37, 88], Operations: [] Exploring Operation: 27+1=28, Resulting Numbers: [37, 88, 28] Generated Node #2: [37, 88, 28] from Operation: 27+1=28 Current State: 97:[37, 88, 28], Operations: ['27+1=28'] Exploring Operation: 37+88=125, Resulting Numbers: [28, 125] Generated Node #3: [28, 125] from Operation: 37+88=125 Current State: 97:[28, 125], Operations: ['27+1=28', '37+88=125'] Exploring Operation: 125-28=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 89, 24, 43 ]
74
[ "89-82=7", "24+43=67", "7+67=74" ]
Current State: 74:[82, 89, 24, 43], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [24, 43, 7] Generated Node #2: [24, 43, 7] from Operation: 89-82=7 Current State: 74:[24, 43, 7], Operations: ['89-82=7'] Exploring Operation: 24+43=67, Resulting Numbers: [7, 67] Generated Node #3: [7, 67] from Operation: 24+43=67 Current State: 74:[7, 67], Operations: ['89-82=7', '24+43=67'] Exploring Operation: 7+67=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 9, 8, 88, 20 ]
10
[ "88/8=11", "11-9=2", "20/2=10" ]
Current State: 10:[9, 8, 88, 20], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [9, 20, 11] Generated Node #2: [9, 20, 11] from Operation: 88/8=11 Current State: 10:[9, 20, 11], Operations: ['88/8=11'] Exploring Operation: 11-9=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 11-9=2 Current State: 10:[20, 2], Operations: ['88/8=11', '11-9=2'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 72, 66, 63 ]
98
[ "46+66=112", "63*112=7056", "7056/72=98" ]
Current State: 98:[46, 72, 66, 63], Operations: [] Exploring Operation: 46+66=112, Resulting Numbers: [72, 63, 112] Generated Node #2: [72, 63, 112] from Operation: 46+66=112 Current State: 98:[72, 63, 112], Operations: ['46+66=112'] Exploring Operation: 63*112=7056, Resulting Numbers: [72, 7056] Generated Node #3: [72, 7056] from Operation: 63*112=7056 Current State: 98:[72, 7056], Operations: ['46+66=112', '63*112=7056'] Exploring Operation: 7056/72=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 31, 70, 24, 84 ]
66
[ "31+24=55", "84*55=4620", "4620/70=66" ]
Current State: 66:[31, 70, 24, 84], Operations: [] Exploring Operation: 31+24=55, Resulting Numbers: [70, 84, 55] Generated Node #2: [70, 84, 55] from Operation: 31+24=55 Current State: 66:[70, 84, 55], Operations: ['31+24=55'] Exploring Operation: 84*55=4620, Resulting Numbers: [70, 4620] Generated Node #3: [70, 4620] from Operation: 84*55=4620 Current State: 66:[70, 4620], Operations: ['31+24=55', '84*55=4620'] Exploring Operation: 4620/70=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 85, 34, 96 ]
95
[ "85-52=33", "96-34=62", "33+62=95" ]
Current State: 95:[52, 85, 34, 96], Operations: [] Exploring Operation: 85-52=33, Resulting Numbers: [34, 96, 33] Generated Node #2: [34, 96, 33] from Operation: 85-52=33 Current State: 95:[34, 96, 33], Operations: ['85-52=33'] Exploring Operation: 96-34=62, Resulting Numbers: [33, 62] Generated Node #3: [33, 62] from Operation: 96-34=62 Current State: 95:[33, 62], Operations: ['85-52=33', '96-34=62'] Exploring Operation: 33+62=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 64, 24, 28, 4 ]
22
[ "28+4=32", "64/32=2", "24-2=22" ]
Current State: 22:[64, 24, 28, 4], Operations: [] Exploring Operation: 28+4=32, Resulting Numbers: [64, 24, 32] Generated Node #2: [64, 24, 32] from Operation: 28+4=32 Current State: 22:[64, 24, 32], Operations: ['28+4=32'] Exploring Operation: 64/32=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 64/32=2 Current State: 22:[24, 2], Operations: ['28+4=32', '64/32=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 54, 12, 50, 92 ]
76
[ "54+12=66", "50+92=142", "142-66=76" ]
Current State: 76:[54, 12, 50, 92], Operations: [] Exploring Operation: 54+12=66, Resulting Numbers: [50, 92, 66] Generated Node #2: [50, 92, 66] from Operation: 54+12=66 Current State: 76:[50, 92, 66], Operations: ['54+12=66'] Exploring Operation: 50+92=142, Resulting Numbers: [66, 142] Generated Node #3: [66, 142] from Operation: 50+92=142 Current State: 76:[66, 142], Operations: ['54+12=66', '50+92=142'] Exploring Operation: 142-66=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 72, 70, 5, 6 ]
52
[ "72-6=66", "70/5=14", "66-14=52" ]
Current State: 52:[72, 70, 5, 6], Operations: [] Exploring Operation: 72-6=66, Resulting Numbers: [70, 5, 66] Generated Node #2: [70, 5, 66] from Operation: 72-6=66 Current State: 52:[70, 5, 66], Operations: ['72-6=66'] Exploring Operation: 70/5=14, Resulting Numbers: [66, 14] Generated Node #3: [66, 14] from Operation: 70/5=14 Current State: 52:[66, 14], Operations: ['72-6=66', '70/5=14'] Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 18, 51, 13 ]
84
[ "28+18=46", "51-13=38", "46+38=84" ]
Current State: 84:[28, 18, 51, 13], Operations: [] Exploring Operation: 28+18=46, Resulting Numbers: [51, 13, 46] Generated Node #2: [51, 13, 46] from Operation: 28+18=46 Current State: 84:[51, 13, 46], Operations: ['28+18=46'] Exploring Operation: 51-13=38, Resulting Numbers: [46, 38] Generated Node #3: [46, 38] from Operation: 51-13=38 Current State: 84:[46, 38], Operations: ['28+18=46', '51-13=38'] Exploring Operation: 46+38=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 23, 39, 57 ]
52
[ "57-23=34", "57-39=18", "34+18=52" ]
Current State: 52:[57, 23, 39, 57], Operations: [] Exploring Operation: 57-23=34, Resulting Numbers: [39, 34] Generated Node #2: [39, 34] from Operation: 57-23=34 Current State: 52:[39, 34], Operations: ['57-23=34'] Exploring Operation: 57-39=18, Resulting Numbers: [34, 18] Generated Node #3: [34, 18] from Operation: 57-39=18 Current State: 52:[34, 18], Operations: ['57-23=34', '57-39=18'] Exploring Operation: 34+18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 33, 22, 24 ]
79
[ "33-22=11", "5*11=55", "24+55=79" ]
Current State: 79:[5, 33, 22, 24], Operations: [] Exploring Operation: 33-22=11, Resulting Numbers: [5, 24, 11] Generated Node #2: [5, 24, 11] from Operation: 33-22=11 Current State: 79:[5, 24, 11], Operations: ['33-22=11'] Exploring Operation: 5*11=55, Resulting Numbers: [24, 55] Generated Node #3: [24, 55] from Operation: 5*11=55 Current State: 79:[24, 55], Operations: ['33-22=11', '5*11=55'] Exploring Operation: 24+55=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 58, 53, 81 ]
46
[ "16+58=74", "81-53=28", "74-28=46" ]
Current State: 46:[16, 58, 53, 81], Operations: [] Exploring Operation: 16+58=74, Resulting Numbers: [53, 81, 74] Generated Node #2: [53, 81, 74] from Operation: 16+58=74 Current State: 46:[53, 81, 74], Operations: ['16+58=74'] Exploring Operation: 81-53=28, Resulting Numbers: [74, 28] Generated Node #3: [74, 28] from Operation: 81-53=28 Current State: 46:[74, 28], Operations: ['16+58=74', '81-53=28'] Exploring Operation: 74-28=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 35, 34, 2 ]
61
[ "9+35=44", "34/2=17", "44+17=61" ]
Current State: 61:[9, 35, 34, 2], Operations: [] Exploring Operation: 9+35=44, Resulting Numbers: [34, 2, 44] Generated Node #2: [34, 2, 44] from Operation: 9+35=44 Current State: 61:[34, 2, 44], Operations: ['9+35=44'] Exploring Operation: 34/2=17, Resulting Numbers: [44, 17] Generated Node #3: [44, 17] from Operation: 34/2=17 Current State: 61:[44, 17], Operations: ['9+35=44', '34/2=17'] Exploring Operation: 44+17=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 65, 82, 74, 17 ]
71
[ "74-65=9", "17*9=153", "153-82=71" ]
Current State: 71:[65, 82, 74, 17], Operations: [] Exploring Operation: 74-65=9, Resulting Numbers: [82, 17, 9] Generated Node #2: [82, 17, 9] from Operation: 74-65=9 Current State: 71:[82, 17, 9], Operations: ['74-65=9'] Exploring Operation: 17*9=153, Resulting Numbers: [82, 153] Generated Node #3: [82, 153] from Operation: 17*9=153 Current State: 71:[82, 153], Operations: ['74-65=9', '17*9=153'] Exploring Operation: 153-82=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 10, 55, 88, 55 ]
78
[ "10+55=65", "88+55=143", "143-65=78" ]
Current State: 78:[10, 55, 88, 55], Operations: [] Exploring Operation: 10+55=65, Resulting Numbers: [88, 65] Generated Node #2: [88, 65] from Operation: 10+55=65 Current State: 78:[88, 65], Operations: ['10+55=65'] Exploring Operation: 88+55=143, Resulting Numbers: [65, 143] Generated Node #3: [65, 143] from Operation: 88+55=143 Current State: 78:[65, 143], Operations: ['10+55=65', '88+55=143'] Exploring Operation: 143-65=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 43, 6, 21 ]
42
[ "14+43=57", "21-6=15", "57-15=42" ]
Current State: 42:[14, 43, 6, 21], Operations: [] Exploring Operation: 14+43=57, Resulting Numbers: [6, 21, 57] Generated Node #2: [6, 21, 57] from Operation: 14+43=57 Current State: 42:[6, 21, 57], Operations: ['14+43=57'] Exploring Operation: 21-6=15, Resulting Numbers: [57, 15] Generated Node #3: [57, 15] from Operation: 21-6=15 Current State: 42:[57, 15], Operations: ['14+43=57', '21-6=15'] Exploring Operation: 57-15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 83, 49, 89, 90 ]
82
[ "90-83=7", "49/7=7", "89-7=82" ]
Current State: 82:[83, 49, 89, 90], Operations: [] Exploring Operation: 90-83=7, Resulting Numbers: [49, 89, 7] Generated Node #2: [49, 89, 7] from Operation: 90-83=7 Current State: 82:[49, 89, 7], Operations: ['90-83=7'] Exploring Operation: 49/7=7, Resulting Numbers: [89, 7] Generated Node #3: [89, 7] from Operation: 49/7=7 Current State: 82:[89, 7], Operations: ['90-83=7', '49/7=7'] Exploring Operation: 89-7=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 39, 2, 8, 12 ]
71
[ "39+8=47", "2*12=24", "47+24=71" ]
Current State: 71:[39, 2, 8, 12], Operations: [] Exploring Operation: 39+8=47, Resulting Numbers: [2, 12, 47] Generated Node #2: [2, 12, 47] from Operation: 39+8=47 Current State: 71:[2, 12, 47], Operations: ['39+8=47'] Exploring Operation: 2*12=24, Resulting Numbers: [47, 24] Generated Node #3: [47, 24] from Operation: 2*12=24 Current State: 71:[47, 24], Operations: ['39+8=47', '2*12=24'] Exploring Operation: 47+24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 88, 7, 9, 34 ]
59
[ "88+34=122", "7*9=63", "122-63=59" ]
Current State: 59:[88, 7, 9, 34], Operations: [] Exploring Operation: 88+34=122, Resulting Numbers: [7, 9, 122] Generated Node #2: [7, 9, 122] from Operation: 88+34=122 Current State: 59:[7, 9, 122], Operations: ['88+34=122'] Exploring Operation: 7*9=63, Resulting Numbers: [122, 63] Generated Node #3: [122, 63] from Operation: 7*9=63 Current State: 59:[122, 63], Operations: ['88+34=122', '7*9=63'] Exploring Operation: 122-63=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 41, 19, 19, 31 ]
10
[ "41+19=60", "19+31=50", "60-50=10" ]
Current State: 10:[41, 19, 19, 31], Operations: [] Exploring Operation: 41+19=60, Resulting Numbers: [31, 60] Generated Node #2: [31, 60] from Operation: 41+19=60 Current State: 10:[31, 60], Operations: ['41+19=60'] Exploring Operation: 19+31=50, Resulting Numbers: [60, 50] Generated Node #3: [60, 50] from Operation: 19+31=50 Current State: 10:[60, 50], Operations: ['41+19=60', '19+31=50'] Exploring Operation: 60-50=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 85, 4, 5, 4 ]
33
[ "85/5=17", "4*4=16", "17+16=33" ]
Current State: 33:[85, 4, 5, 4], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [4, 4, 17] Generated Node #2: [4, 4, 17] from Operation: 85/5=17 Current State: 33:[4, 4, 17], Operations: ['85/5=17'] Exploring Operation: 4*4=16, Resulting Numbers: [17, 16] Generated Node #3: [17, 16] from Operation: 4*4=16 Current State: 33:[17, 16], Operations: ['85/5=17', '4*4=16'] Exploring Operation: 17+16=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 62, 93, 31, 26 ]
23
[ "62-31=31", "93/31=3", "26-3=23" ]
Current State: 23:[62, 93, 31, 26], Operations: [] Exploring Operation: 62-31=31, Resulting Numbers: [93, 26, 31] Generated Node #2: [93, 26, 31] from Operation: 62-31=31 Current State: 23:[93, 26, 31], Operations: ['62-31=31'] Exploring Operation: 93/31=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 93/31=3 Current State: 23:[26, 3], Operations: ['62-31=31', '93/31=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 62, 67, 17 ]
68
[ "9+62=71", "71-67=4", "17*4=68" ]
Current State: 68:[9, 62, 67, 17], Operations: [] Exploring Operation: 9+62=71, Resulting Numbers: [67, 17, 71] Generated Node #2: [67, 17, 71] from Operation: 9+62=71 Current State: 68:[67, 17, 71], Operations: ['9+62=71'] Exploring Operation: 71-67=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 71-67=4 Current State: 68:[17, 4], Operations: ['9+62=71', '71-67=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 75, 26, 69, 34 ]
10
[ "75-69=6", "26+34=60", "60/6=10" ]
Current State: 10:[75, 26, 69, 34], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [26, 34, 6] Generated Node #2: [26, 34, 6] from Operation: 75-69=6 Current State: 10:[26, 34, 6], Operations: ['75-69=6'] Exploring Operation: 26+34=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 26+34=60 Current State: 10:[6, 60], Operations: ['75-69=6', '26+34=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 14, 45, 15, 51 ]
34
[ "51-14=37", "45/15=3", "37-3=34" ]
Current State: 34:[14, 45, 15, 51], Operations: [] Exploring Operation: 51-14=37, Resulting Numbers: [45, 15, 37] Generated Node #2: [45, 15, 37] from Operation: 51-14=37 Current State: 34:[45, 15, 37], Operations: ['51-14=37'] Exploring Operation: 45/15=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 45/15=3 Current State: 34:[37, 3], Operations: ['51-14=37', '45/15=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 68, 17, 91, 77 ]
71
[ "68+17=85", "91-77=14", "85-14=71" ]
Current State: 71:[68, 17, 91, 77], Operations: [] Exploring Operation: 68+17=85, Resulting Numbers: [91, 77, 85] Generated Node #2: [91, 77, 85] from Operation: 68+17=85 Current State: 71:[91, 77, 85], Operations: ['68+17=85'] Exploring Operation: 91-77=14, Resulting Numbers: [85, 14] Generated Node #3: [85, 14] from Operation: 91-77=14 Current State: 71:[85, 14], Operations: ['68+17=85', '91-77=14'] Exploring Operation: 85-14=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 12, 44, 14 ]
61
[ "12+44=56", "56/14=4", "65-4=61" ]
Current State: 61:[65, 12, 44, 14], Operations: [] Exploring Operation: 12+44=56, Resulting Numbers: [65, 14, 56] Generated Node #2: [65, 14, 56] from Operation: 12+44=56 Current State: 61:[65, 14, 56], Operations: ['12+44=56'] Exploring Operation: 56/14=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 56/14=4 Current State: 61:[65, 4], Operations: ['12+44=56', '56/14=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 75, 51, 10, 5 ]
68
[ "75+10=85", "85/5=17", "51+17=68" ]
Current State: 68:[75, 51, 10, 5], Operations: [] Exploring Operation: 75+10=85, Resulting Numbers: [51, 5, 85] Generated Node #2: [51, 5, 85] from Operation: 75+10=85 Current State: 68:[51, 5, 85], Operations: ['75+10=85'] Exploring Operation: 85/5=17, Resulting Numbers: [51, 17] Generated Node #3: [51, 17] from Operation: 85/5=17 Current State: 68:[51, 17], Operations: ['75+10=85', '85/5=17'] Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 26, 37, 36 ]
29
[ "76+26=102", "37+36=73", "102-73=29" ]
Current State: 29:[76, 26, 37, 36], Operations: [] Exploring Operation: 76+26=102, Resulting Numbers: [37, 36, 102] Generated Node #2: [37, 36, 102] from Operation: 76+26=102 Current State: 29:[37, 36, 102], Operations: ['76+26=102'] Exploring Operation: 37+36=73, Resulting Numbers: [102, 73] Generated Node #3: [102, 73] from Operation: 37+36=73 Current State: 29:[102, 73], Operations: ['76+26=102', '37+36=73'] Exploring Operation: 102-73=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 10, 31, 68, 48 ]
75
[ "10+31=41", "68+48=116", "116-41=75" ]
Current State: 75:[10, 31, 68, 48], Operations: [] Exploring Operation: 10+31=41, Resulting Numbers: [68, 48, 41] Generated Node #2: [68, 48, 41] from Operation: 10+31=41 Current State: 75:[68, 48, 41], Operations: ['10+31=41'] Exploring Operation: 68+48=116, Resulting Numbers: [41, 116] Generated Node #3: [41, 116] from Operation: 68+48=116 Current State: 75:[41, 116], Operations: ['10+31=41', '68+48=116'] Exploring Operation: 116-41=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4