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
[ 4, 75, 67, 19 ]
13
[ "75-67=8", "4*8=32", "32-19=13" ]
Current State: 13:[4, 75, 67, 19], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [4, 19, 8] Generated Node #2: [4, 19, 8] from Operation: 75-67=8 Current State: 13:[4, 19, 8], Operations: ['75-67=8'] Exploring Operation: 4*8=32, Resulting Numbers: [19, 32] Generated Node #3: [19, 32] from Operation: 4*8=32 Current State: 13:[19, 32], Operations: ['75-67=8', '4*8=32'] Exploring Operation: 32-19=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 18, 71, 31, 14 ]
10
[ "18-14=4", "71-31=40", "40/4=10" ]
Current State: 10:[18, 71, 31, 14], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [71, 31, 4] Generated Node #2: [71, 31, 4] from Operation: 18-14=4 Current State: 10:[71, 31, 4], Operations: ['18-14=4'] Exploring Operation: 71-31=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 71-31=40 Current State: 10:[4, 40], Operations: ['18-14=4', '71-31=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 93, 3, 9, 41 ]
24
[ "3*41=123", "93+123=216", "216/9=24" ]
Current State: 24:[93, 3, 9, 41], Operations: [] Exploring Operation: 3*41=123, Resulting Numbers: [93, 9, 123] Generated Node #2: [93, 9, 123] from Operation: 3*41=123 Current State: 24:[93, 9, 123], Operations: ['3*41=123'] Exploring Operation: 93+123=216, Resulting Numbers: [9, 216] Generated Node #3: [9, 216] from Operation: 93+123=216 Current State: 24:[9, 216], Operations: ['3*41=123', '93+123=216'] Exploring Operation: 216/9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 10, 62, 25, 5 ]
89
[ "10/5=2", "62+25=87", "2+87=89" ]
Current State: 89:[10, 62, 25, 5], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [62, 25, 2] Generated Node #2: [62, 25, 2] from Operation: 10/5=2 Current State: 89:[62, 25, 2], Operations: ['10/5=2'] Exploring Operation: 62+25=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 62+25=87 Current State: 89:[2, 87], Operations: ['10/5=2', '62+25=87'] Exploring Operation: 2+87=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 5, 60, 15, 43 ]
44
[ "5+43=48", "60/15=4", "48-4=44" ]
Current State: 44:[5, 60, 15, 43], Operations: [] Exploring Operation: 5+43=48, Resulting Numbers: [60, 15, 48] Generated Node #2: [60, 15, 48] from Operation: 5+43=48 Current State: 44:[60, 15, 48], Operations: ['5+43=48'] Exploring Operation: 60/15=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 60/15=4 Current State: 44:[48, 4], Operations: ['5+43=48', '60/15=4'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 91, 66, 97, 66 ]
91
[ "66-66=0", "97*0=0", "91+0=91" ]
Current State: 91:[91, 66, 97, 66], Operations: [] Exploring Operation: 66-66=0, Resulting Numbers: [91, 97, 0] Generated Node #2: [91, 97, 0] from Operation: 66-66=0 Current State: 91:[91, 97, 0], Operations: ['66-66=0'] Exploring Operation: 97*0=0, Resulting Numbers: [91, 0] Generated Node #3: [91, 0] from Operation: 97*0=0 Current State: 91:[91, 0], Operations: ['66-66=0', '97*0=0'] Exploring Operation: 91+0=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 38, 76, 75 ]
31
[ "68-38=30", "76-75=1", "30+1=31" ]
Current State: 31:[68, 38, 76, 75], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [76, 75, 30] Generated Node #2: [76, 75, 30] from Operation: 68-38=30 Current State: 31:[76, 75, 30], Operations: ['68-38=30'] Exploring Operation: 76-75=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 76-75=1 Current State: 31:[30, 1], Operations: ['68-38=30', '76-75=1'] Exploring Operation: 30+1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 18, 22, 58, 5 ]
58
[ "22-18=4", "5-4=1", "58*1=58" ]
Current State: 58:[18, 22, 58, 5], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [58, 5, 4] Generated Node #2: [58, 5, 4] from Operation: 22-18=4 Current State: 58:[58, 5, 4], Operations: ['22-18=4'] Exploring Operation: 5-4=1, Resulting Numbers: [58, 1] Generated Node #3: [58, 1] from Operation: 5-4=1 Current State: 58:[58, 1], Operations: ['22-18=4', '5-4=1'] Exploring Operation: 58*1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 73, 78, 4, 62 ]
63
[ "78-73=5", "62-4=58", "5+58=63" ]
Current State: 63:[73, 78, 4, 62], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [4, 62, 5] Generated Node #2: [4, 62, 5] from Operation: 78-73=5 Current State: 63:[4, 62, 5], Operations: ['78-73=5'] Exploring Operation: 62-4=58, Resulting Numbers: [5, 58] Generated Node #3: [5, 58] from Operation: 62-4=58 Current State: 63:[5, 58], Operations: ['78-73=5', '62-4=58'] Exploring Operation: 5+58=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 4, 48, 76, 51 ]
80
[ "76/4=19", "48+51=99", "99-19=80" ]
Current State: 80:[4, 48, 76, 51], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [48, 51, 19] Generated Node #2: [48, 51, 19] from Operation: 76/4=19 Current State: 80:[48, 51, 19], Operations: ['76/4=19'] Exploring Operation: 48+51=99, Resulting Numbers: [19, 99] Generated Node #3: [19, 99] from Operation: 48+51=99 Current State: 80:[19, 99], Operations: ['76/4=19', '48+51=99'] Exploring Operation: 99-19=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 40, 24, 12, 56 ]
60
[ "40-24=16", "56-12=44", "16+44=60" ]
Current State: 60:[40, 24, 12, 56], Operations: [] Exploring Operation: 40-24=16, Resulting Numbers: [12, 56, 16] Generated Node #2: [12, 56, 16] from Operation: 40-24=16 Current State: 60:[12, 56, 16], Operations: ['40-24=16'] Exploring Operation: 56-12=44, Resulting Numbers: [16, 44] Generated Node #3: [16, 44] from Operation: 56-12=44 Current State: 60:[16, 44], Operations: ['40-24=16', '56-12=44'] Exploring Operation: 16+44=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 54, 1, 50, 76 ]
36
[ "54*50=2700", "76-1=75", "2700/75=36" ]
Current State: 36:[54, 1, 50, 76], Operations: [] Exploring Operation: 54*50=2700, Resulting Numbers: [1, 76, 2700] Generated Node #2: [1, 76, 2700] from Operation: 54*50=2700 Current State: 36:[1, 76, 2700], Operations: ['54*50=2700'] Exploring Operation: 76-1=75, Resulting Numbers: [2700, 75] Generated Node #3: [2700, 75] from Operation: 76-1=75 Current State: 36:[2700, 75], Operations: ['54*50=2700', '76-1=75'] Exploring Operation: 2700/75=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 66, 10, 19, 68 ]
58
[ "68-66=2", "10+19=29", "2*29=58" ]
Current State: 58:[66, 10, 19, 68], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [10, 19, 2] Generated Node #2: [10, 19, 2] from Operation: 68-66=2 Current State: 58:[10, 19, 2], Operations: ['68-66=2'] Exploring Operation: 10+19=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 10+19=29 Current State: 58:[2, 29], Operations: ['68-66=2', '10+19=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 3, 54, 16, 24 ]
74
[ "24/3=8", "16*8=128", "128-54=74" ]
Current State: 74:[3, 54, 16, 24], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [54, 16, 8] Generated Node #2: [54, 16, 8] from Operation: 24/3=8 Current State: 74:[54, 16, 8], Operations: ['24/3=8'] Exploring Operation: 16*8=128, Resulting Numbers: [54, 128] Generated Node #3: [54, 128] from Operation: 16*8=128 Current State: 74:[54, 128], Operations: ['24/3=8', '16*8=128'] Exploring Operation: 128-54=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 53, 3, 60, 46 ]
79
[ "53+46=99", "60/3=20", "99-20=79" ]
Current State: 79:[53, 3, 60, 46], Operations: [] Exploring Operation: 53+46=99, Resulting Numbers: [3, 60, 99] Generated Node #2: [3, 60, 99] from Operation: 53+46=99 Current State: 79:[3, 60, 99], Operations: ['53+46=99'] Exploring Operation: 60/3=20, Resulting Numbers: [99, 20] Generated Node #3: [99, 20] from Operation: 60/3=20 Current State: 79:[99, 20], Operations: ['53+46=99', '60/3=20'] Exploring Operation: 99-20=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 3, 69, 5, 77 ]
85
[ "5-3=2", "77*2=154", "154-69=85" ]
Current State: 85:[3, 69, 5, 77], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [69, 77, 2] Generated Node #2: [69, 77, 2] from Operation: 5-3=2 Current State: 85:[69, 77, 2], Operations: ['5-3=2'] Exploring Operation: 77*2=154, Resulting Numbers: [69, 154] Generated Node #3: [69, 154] from Operation: 77*2=154 Current State: 85:[69, 154], Operations: ['5-3=2', '77*2=154'] Exploring Operation: 154-69=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 31, 99, 6 ]
60
[ "99-6=93", "20*93=1860", "1860/31=60" ]
Current State: 60:[20, 31, 99, 6], Operations: [] Exploring Operation: 99-6=93, Resulting Numbers: [20, 31, 93] Generated Node #2: [20, 31, 93] from Operation: 99-6=93 Current State: 60:[20, 31, 93], Operations: ['99-6=93'] Exploring Operation: 20*93=1860, Resulting Numbers: [31, 1860] Generated Node #3: [31, 1860] from Operation: 20*93=1860 Current State: 60:[31, 1860], Operations: ['99-6=93', '20*93=1860'] Exploring Operation: 1860/31=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 80, 91, 55, 16 ]
21
[ "91-80=11", "55/11=5", "16+5=21" ]
Current State: 21:[80, 91, 55, 16], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [55, 16, 11] Generated Node #2: [55, 16, 11] from Operation: 91-80=11 Current State: 21:[55, 16, 11], Operations: ['91-80=11'] Exploring Operation: 55/11=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 55/11=5 Current State: 21:[16, 5], Operations: ['91-80=11', '55/11=5'] Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 92, 84, 9, 37 ]
86
[ "9+37=46", "92/46=2", "84+2=86" ]
Current State: 86:[92, 84, 9, 37], Operations: [] Exploring Operation: 9+37=46, Resulting Numbers: [92, 84, 46] Generated Node #2: [92, 84, 46] from Operation: 9+37=46 Current State: 86:[92, 84, 46], Operations: ['9+37=46'] Exploring Operation: 92/46=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 92/46=2 Current State: 86:[84, 2], Operations: ['9+37=46', '92/46=2'] Exploring Operation: 84+2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 1, 59, 87, 77 ]
68
[ "59-1=58", "87-77=10", "58+10=68" ]
Current State: 68:[1, 59, 87, 77], Operations: [] Exploring Operation: 59-1=58, Resulting Numbers: [87, 77, 58] Generated Node #2: [87, 77, 58] from Operation: 59-1=58 Current State: 68:[87, 77, 58], Operations: ['59-1=58'] Exploring Operation: 87-77=10, Resulting Numbers: [58, 10] Generated Node #3: [58, 10] from Operation: 87-77=10 Current State: 68:[58, 10], Operations: ['59-1=58', '87-77=10'] Exploring Operation: 58+10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 60, 56, 90, 7 ]
42
[ "56+7=63", "60*63=3780", "3780/90=42" ]
Current State: 42:[60, 56, 90, 7], Operations: [] Exploring Operation: 56+7=63, Resulting Numbers: [60, 90, 63] Generated Node #2: [60, 90, 63] from Operation: 56+7=63 Current State: 42:[60, 90, 63], Operations: ['56+7=63'] Exploring Operation: 60*63=3780, Resulting Numbers: [90, 3780] Generated Node #3: [90, 3780] from Operation: 60*63=3780 Current State: 42:[90, 3780], Operations: ['56+7=63', '60*63=3780'] Exploring Operation: 3780/90=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 80, 18, 70, 5 ]
72
[ "80/5=16", "18+70=88", "88-16=72" ]
Current State: 72:[80, 18, 70, 5], Operations: [] Exploring Operation: 80/5=16, Resulting Numbers: [18, 70, 16] Generated Node #2: [18, 70, 16] from Operation: 80/5=16 Current State: 72:[18, 70, 16], Operations: ['80/5=16'] Exploring Operation: 18+70=88, Resulting Numbers: [16, 88] Generated Node #3: [16, 88] from Operation: 18+70=88 Current State: 72:[16, 88], Operations: ['80/5=16', '18+70=88'] Exploring Operation: 88-16=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 33, 34, 2 ]
73
[ "33+34=67", "2*67=134", "134-61=73" ]
Current State: 73:[61, 33, 34, 2], Operations: [] Exploring Operation: 33+34=67, Resulting Numbers: [61, 2, 67] Generated Node #2: [61, 2, 67] from Operation: 33+34=67 Current State: 73:[61, 2, 67], Operations: ['33+34=67'] Exploring Operation: 2*67=134, Resulting Numbers: [61, 134] Generated Node #3: [61, 134] from Operation: 2*67=134 Current State: 73:[61, 134], Operations: ['33+34=67', '2*67=134'] Exploring Operation: 134-61=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 34, 40, 94 ]
68
[ "34-20=14", "94-40=54", "14+54=68" ]
Current State: 68:[20, 34, 40, 94], Operations: [] Exploring Operation: 34-20=14, Resulting Numbers: [40, 94, 14] Generated Node #2: [40, 94, 14] from Operation: 34-20=14 Current State: 68:[40, 94, 14], Operations: ['34-20=14'] Exploring Operation: 94-40=54, Resulting Numbers: [14, 54] Generated Node #3: [14, 54] from Operation: 94-40=54 Current State: 68:[14, 54], Operations: ['34-20=14', '94-40=54'] Exploring Operation: 14+54=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 40, 55, 51, 32 ]
32
[ "40-32=8", "55-51=4", "8*4=32" ]
Current State: 32:[40, 55, 51, 32], Operations: [] Exploring Operation: 40-32=8, Resulting Numbers: [55, 51, 8] Generated Node #2: [55, 51, 8] from Operation: 40-32=8 Current State: 32:[55, 51, 8], Operations: ['40-32=8'] Exploring Operation: 55-51=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 55-51=4 Current State: 32:[8, 4], Operations: ['40-32=8', '55-51=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 62, 66, 74, 31 ]
50
[ "66-62=4", "31*4=124", "124-74=50" ]
Current State: 50:[62, 66, 74, 31], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [74, 31, 4] Generated Node #2: [74, 31, 4] from Operation: 66-62=4 Current State: 50:[74, 31, 4], Operations: ['66-62=4'] Exploring Operation: 31*4=124, Resulting Numbers: [74, 124] Generated Node #3: [74, 124] from Operation: 31*4=124 Current State: 50:[74, 124], Operations: ['66-62=4', '31*4=124'] Exploring Operation: 124-74=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 14, 50, 5 ]
47
[ "50-47=3", "14*3=42", "5+42=47" ]
Current State: 47:[47, 14, 50, 5], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [14, 5, 3] Generated Node #2: [14, 5, 3] from Operation: 50-47=3 Current State: 47:[14, 5, 3], Operations: ['50-47=3'] Exploring Operation: 14*3=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 14*3=42 Current State: 47:[5, 42], Operations: ['50-47=3', '14*3=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 46, 1, 2, 49 ]
98
[ "46+1=47", "2+49=51", "47+51=98" ]
Current State: 98:[46, 1, 2, 49], Operations: [] Exploring Operation: 46+1=47, Resulting Numbers: [2, 49, 47] Generated Node #2: [2, 49, 47] from Operation: 46+1=47 Current State: 98:[2, 49, 47], Operations: ['46+1=47'] Exploring Operation: 2+49=51, Resulting Numbers: [47, 51] Generated Node #3: [47, 51] from Operation: 2+49=51 Current State: 98:[47, 51], Operations: ['46+1=47', '2+49=51'] Exploring Operation: 47+51=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 70, 51, 87, 27 ]
95
[ "70-51=19", "87+27=114", "114-19=95" ]
Current State: 95:[70, 51, 87, 27], Operations: [] Exploring Operation: 70-51=19, Resulting Numbers: [87, 27, 19] Generated Node #2: [87, 27, 19] from Operation: 70-51=19 Current State: 95:[87, 27, 19], Operations: ['70-51=19'] Exploring Operation: 87+27=114, Resulting Numbers: [19, 114] Generated Node #3: [19, 114] from Operation: 87+27=114 Current State: 95:[19, 114], Operations: ['70-51=19', '87+27=114'] Exploring Operation: 114-19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 40, 95, 8, 66 ]
85
[ "40/8=5", "95/5=19", "66+19=85" ]
Current State: 85:[40, 95, 8, 66], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [95, 66, 5] Generated Node #2: [95, 66, 5] from Operation: 40/8=5 Current State: 85:[95, 66, 5], Operations: ['40/8=5'] Exploring Operation: 95/5=19, Resulting Numbers: [66, 19] Generated Node #3: [66, 19] from Operation: 95/5=19 Current State: 85:[66, 19], Operations: ['40/8=5', '95/5=19'] Exploring Operation: 66+19=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 54, 10, 18, 87 ]
61
[ "54-10=44", "18+87=105", "105-44=61" ]
Current State: 61:[54, 10, 18, 87], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [18, 87, 44] Generated Node #2: [18, 87, 44] from Operation: 54-10=44 Current State: 61:[18, 87, 44], Operations: ['54-10=44'] Exploring Operation: 18+87=105, Resulting Numbers: [44, 105] Generated Node #3: [44, 105] from Operation: 18+87=105 Current State: 61:[44, 105], Operations: ['54-10=44', '18+87=105'] Exploring Operation: 105-44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 54, 19, 28, 57 ]
27
[ "57-54=3", "28-19=9", "3*9=27" ]
Current State: 27:[54, 19, 28, 57], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [19, 28, 3] Generated Node #2: [19, 28, 3] from Operation: 57-54=3 Current State: 27:[19, 28, 3], Operations: ['57-54=3'] Exploring Operation: 28-19=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 28-19=9 Current State: 27:[3, 9], Operations: ['57-54=3', '28-19=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 33, 2, 72, 44 ]
85
[ "33-2=31", "72+44=116", "116-31=85" ]
Current State: 85:[33, 2, 72, 44], Operations: [] Exploring Operation: 33-2=31, Resulting Numbers: [72, 44, 31] Generated Node #2: [72, 44, 31] from Operation: 33-2=31 Current State: 85:[72, 44, 31], Operations: ['33-2=31'] Exploring Operation: 72+44=116, Resulting Numbers: [31, 116] Generated Node #3: [31, 116] from Operation: 72+44=116 Current State: 85:[31, 116], Operations: ['33-2=31', '72+44=116'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 5, 85, 22 ]
34
[ "22-20=2", "85/5=17", "2*17=34" ]
Current State: 34:[20, 5, 85, 22], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [5, 85, 2] Generated Node #2: [5, 85, 2] from Operation: 22-20=2 Current State: 34:[5, 85, 2], Operations: ['22-20=2'] Exploring Operation: 85/5=17, Resulting Numbers: [2, 17] Generated Node #3: [2, 17] from Operation: 85/5=17 Current State: 34:[2, 17], Operations: ['22-20=2', '85/5=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 41, 2, 38 ]
20
[ "7+41=48", "48-38=10", "2*10=20" ]
Current State: 20:[7, 41, 2, 38], Operations: [] Exploring Operation: 7+41=48, Resulting Numbers: [2, 38, 48] Generated Node #2: [2, 38, 48] from Operation: 7+41=48 Current State: 20:[2, 38, 48], Operations: ['7+41=48'] Exploring Operation: 48-38=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 48-38=10 Current State: 20:[2, 10], Operations: ['7+41=48', '48-38=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 50, 46, 47, 61 ]
18
[ "50-46=4", "61-47=14", "4+14=18" ]
Current State: 18:[50, 46, 47, 61], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [47, 61, 4] Generated Node #2: [47, 61, 4] from Operation: 50-46=4 Current State: 18:[47, 61, 4], Operations: ['50-46=4'] Exploring Operation: 61-47=14, Resulting Numbers: [4, 14] Generated Node #3: [4, 14] from Operation: 61-47=14 Current State: 18:[4, 14], Operations: ['50-46=4', '61-47=14'] Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 80, 83, 79, 56 ]
34
[ "80+56=136", "83-79=4", "136/4=34" ]
Current State: 34:[80, 83, 79, 56], Operations: [] Exploring Operation: 80+56=136, Resulting Numbers: [83, 79, 136] Generated Node #2: [83, 79, 136] from Operation: 80+56=136 Current State: 34:[83, 79, 136], Operations: ['80+56=136'] Exploring Operation: 83-79=4, Resulting Numbers: [136, 4] Generated Node #3: [136, 4] from Operation: 83-79=4 Current State: 34:[136, 4], Operations: ['80+56=136', '83-79=4'] Exploring Operation: 136/4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 82, 51, 27, 38 ]
20
[ "82-51=31", "38-27=11", "31-11=20" ]
Current State: 20:[82, 51, 27, 38], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [27, 38, 31] Generated Node #2: [27, 38, 31] from Operation: 82-51=31 Current State: 20:[27, 38, 31], Operations: ['82-51=31'] Exploring Operation: 38-27=11, Resulting Numbers: [31, 11] Generated Node #3: [31, 11] from Operation: 38-27=11 Current State: 20:[31, 11], Operations: ['82-51=31', '38-27=11'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 49, 14, 84, 1 ]
49
[ "49-14=35", "84*1=84", "84-35=49" ]
Current State: 49:[49, 14, 84, 1], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [84, 1, 35] Generated Node #2: [84, 1, 35] from Operation: 49-14=35 Current State: 49:[84, 1, 35], Operations: ['49-14=35'] Exploring Operation: 84*1=84, Resulting Numbers: [35, 84] Generated Node #3: [35, 84] from Operation: 84*1=84 Current State: 49:[35, 84], Operations: ['49-14=35', '84*1=84'] Exploring Operation: 84-35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 4, 3, 9, 56 ]
58
[ "4+3=7", "9+56=65", "65-7=58" ]
Current State: 58:[4, 3, 9, 56], Operations: [] Exploring Operation: 4+3=7, Resulting Numbers: [9, 56, 7] Generated Node #2: [9, 56, 7] from Operation: 4+3=7 Current State: 58:[9, 56, 7], Operations: ['4+3=7'] Exploring Operation: 9+56=65, Resulting Numbers: [7, 65] Generated Node #3: [7, 65] from Operation: 9+56=65 Current State: 58:[7, 65], Operations: ['4+3=7', '9+56=65'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 56, 63, 62, 64 ]
10
[ "63*64=4032", "4032/56=72", "72-62=10" ]
Current State: 10:[56, 63, 62, 64], Operations: [] Exploring Operation: 63*64=4032, Resulting Numbers: [56, 62, 4032] Generated Node #2: [56, 62, 4032] from Operation: 63*64=4032 Current State: 10:[56, 62, 4032], Operations: ['63*64=4032'] Exploring Operation: 4032/56=72, Resulting Numbers: [62, 72] Generated Node #3: [62, 72] from Operation: 4032/56=72 Current State: 10:[62, 72], Operations: ['63*64=4032', '4032/56=72'] Exploring Operation: 72-62=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 28, 13, 25, 52 ]
87
[ "28*52=1456", "1456/13=112", "112-25=87" ]
Current State: 87:[28, 13, 25, 52], Operations: [] Exploring Operation: 28*52=1456, Resulting Numbers: [13, 25, 1456] Generated Node #2: [13, 25, 1456] from Operation: 28*52=1456 Current State: 87:[13, 25, 1456], Operations: ['28*52=1456'] Exploring Operation: 1456/13=112, Resulting Numbers: [25, 112] Generated Node #3: [25, 112] from Operation: 1456/13=112 Current State: 87:[25, 112], Operations: ['28*52=1456', '1456/13=112'] Exploring Operation: 112-25=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 38, 26, 5, 29 ]
53
[ "29-26=3", "5*3=15", "38+15=53" ]
Current State: 53:[38, 26, 5, 29], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [38, 5, 3] Generated Node #2: [38, 5, 3] from Operation: 29-26=3 Current State: 53:[38, 5, 3], Operations: ['29-26=3'] Exploring Operation: 5*3=15, Resulting Numbers: [38, 15] Generated Node #3: [38, 15] from Operation: 5*3=15 Current State: 53:[38, 15], Operations: ['29-26=3', '5*3=15'] Exploring Operation: 38+15=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 25, 15, 19, 49 ]
40
[ "25-15=10", "49-19=30", "10+30=40" ]
Current State: 40:[25, 15, 19, 49], Operations: [] Exploring Operation: 25-15=10, Resulting Numbers: [19, 49, 10] Generated Node #2: [19, 49, 10] from Operation: 25-15=10 Current State: 40:[19, 49, 10], Operations: ['25-15=10'] Exploring Operation: 49-19=30, Resulting Numbers: [10, 30] Generated Node #3: [10, 30] from Operation: 49-19=30 Current State: 40:[10, 30], Operations: ['25-15=10', '49-19=30'] Exploring Operation: 10+30=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 44, 23, 78, 92 ]
98
[ "44*92=4048", "4048/23=176", "176-78=98" ]
Current State: 98:[44, 23, 78, 92], Operations: [] Exploring Operation: 44*92=4048, Resulting Numbers: [23, 78, 4048] Generated Node #2: [23, 78, 4048] from Operation: 44*92=4048 Current State: 98:[23, 78, 4048], Operations: ['44*92=4048'] Exploring Operation: 4048/23=176, Resulting Numbers: [78, 176] Generated Node #3: [78, 176] from Operation: 4048/23=176 Current State: 98:[78, 176], Operations: ['44*92=4048', '4048/23=176'] Exploring Operation: 176-78=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 2, 67, 90, 89 ]
46
[ "89-67=22", "2*22=44", "90-44=46" ]
Current State: 46:[2, 67, 90, 89], Operations: [] Exploring Operation: 89-67=22, Resulting Numbers: [2, 90, 22] Generated Node #2: [2, 90, 22] from Operation: 89-67=22 Current State: 46:[2, 90, 22], Operations: ['89-67=22'] Exploring Operation: 2*22=44, Resulting Numbers: [90, 44] Generated Node #3: [90, 44] from Operation: 2*22=44 Current State: 46:[90, 44], Operations: ['89-67=22', '2*22=44'] Exploring Operation: 90-44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 13, 4, 4, 44 ]
20
[ "13-4=9", "44/4=11", "9+11=20" ]
Current State: 20:[13, 4, 4, 44], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [44, 9] Generated Node #2: [44, 9] from Operation: 13-4=9 Current State: 20:[44, 9], Operations: ['13-4=9'] Exploring Operation: 44/4=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 44/4=11 Current State: 20:[9, 11], Operations: ['13-4=9', '44/4=11'] Exploring Operation: 9+11=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 32, 97, 53 ]
47
[ "17*97=1649", "32*53=1696", "1696-1649=47" ]
Current State: 47:[17, 32, 97, 53], Operations: [] Exploring Operation: 17*97=1649, Resulting Numbers: [32, 53, 1649] Generated Node #2: [32, 53, 1649] from Operation: 17*97=1649 Current State: 47:[32, 53, 1649], Operations: ['17*97=1649'] Exploring Operation: 32*53=1696, Resulting Numbers: [1649, 1696] Generated Node #3: [1649, 1696] from Operation: 32*53=1696 Current State: 47:[1649, 1696], Operations: ['17*97=1649', '32*53=1696'] Exploring Operation: 1696-1649=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 15, 18, 27, 4 ]
21
[ "27-15=12", "12/4=3", "18+3=21" ]
Current State: 21:[15, 18, 27, 4], Operations: [] Exploring Operation: 27-15=12, Resulting Numbers: [18, 4, 12] Generated Node #2: [18, 4, 12] from Operation: 27-15=12 Current State: 21:[18, 4, 12], Operations: ['27-15=12'] Exploring Operation: 12/4=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 12/4=3 Current State: 21:[18, 3], Operations: ['27-15=12', '12/4=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 51, 33, 51, 68 ]
24
[ "51*33=1683", "1683-51=1632", "1632/68=24" ]
Current State: 24:[51, 33, 51, 68], Operations: [] Exploring Operation: 51*33=1683, Resulting Numbers: [68, 1683] Generated Node #2: [68, 1683] from Operation: 51*33=1683 Current State: 24:[68, 1683], Operations: ['51*33=1683'] Exploring Operation: 1683-51=1632, Resulting Numbers: [68, 1632] Generated Node #3: [68, 1632] from Operation: 1683-51=1632 Current State: 24:[68, 1632], Operations: ['51*33=1683', '1683-51=1632'] Exploring Operation: 1632/68=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 83, 36, 2, 62 ]
78
[ "83-36=47", "62/2=31", "47+31=78" ]
Current State: 78:[83, 36, 2, 62], Operations: [] Exploring Operation: 83-36=47, Resulting Numbers: [2, 62, 47] Generated Node #2: [2, 62, 47] from Operation: 83-36=47 Current State: 78:[2, 62, 47], Operations: ['83-36=47'] Exploring Operation: 62/2=31, Resulting Numbers: [47, 31] Generated Node #3: [47, 31] from Operation: 62/2=31 Current State: 78:[47, 31], Operations: ['83-36=47', '62/2=31'] Exploring Operation: 47+31=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 2, 76, 7, 14 ]
71
[ "2+76=78", "14-7=7", "78-7=71" ]
Current State: 71:[2, 76, 7, 14], Operations: [] Exploring Operation: 2+76=78, Resulting Numbers: [7, 14, 78] Generated Node #2: [7, 14, 78] from Operation: 2+76=78 Current State: 71:[7, 14, 78], Operations: ['2+76=78'] Exploring Operation: 14-7=7, Resulting Numbers: [78, 7] Generated Node #3: [78, 7] from Operation: 14-7=7 Current State: 71:[78, 7], Operations: ['2+76=78', '14-7=7'] Exploring Operation: 78-7=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 38, 18, 33, 58 ]
45
[ "38-18=20", "58-33=25", "20+25=45" ]
Current State: 45:[38, 18, 33, 58], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [33, 58, 20] Generated Node #2: [33, 58, 20] from Operation: 38-18=20 Current State: 45:[33, 58, 20], Operations: ['38-18=20'] Exploring Operation: 58-33=25, Resulting Numbers: [20, 25] Generated Node #3: [20, 25] from Operation: 58-33=25 Current State: 45:[20, 25], Operations: ['38-18=20', '58-33=25'] Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 73, 77, 86 ]
95
[ "75-73=2", "86*2=172", "172-77=95" ]
Current State: 95:[75, 73, 77, 86], Operations: [] Exploring Operation: 75-73=2, Resulting Numbers: [77, 86, 2] Generated Node #2: [77, 86, 2] from Operation: 75-73=2 Current State: 95:[77, 86, 2], Operations: ['75-73=2'] Exploring Operation: 86*2=172, Resulting Numbers: [77, 172] Generated Node #3: [77, 172] from Operation: 86*2=172 Current State: 95:[77, 172], Operations: ['75-73=2', '86*2=172'] Exploring Operation: 172-77=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 74, 21, 91, 77 ]
45
[ "74+91=165", "21*165=3465", "3465/77=45" ]
Current State: 45:[74, 21, 91, 77], Operations: [] Exploring Operation: 74+91=165, Resulting Numbers: [21, 77, 165] Generated Node #2: [21, 77, 165] from Operation: 74+91=165 Current State: 45:[21, 77, 165], Operations: ['74+91=165'] Exploring Operation: 21*165=3465, Resulting Numbers: [77, 3465] Generated Node #3: [77, 3465] from Operation: 21*165=3465 Current State: 45:[77, 3465], Operations: ['74+91=165', '21*165=3465'] Exploring Operation: 3465/77=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 63, 60, 61 ]
52
[ "63-60=3", "3*3=9", "61-9=52" ]
Current State: 52:[3, 63, 60, 61], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [3, 61, 3] Generated Node #2: [3, 61, 3] from Operation: 63-60=3 Current State: 52:[3, 61, 3], Operations: ['63-60=3'] Exploring Operation: 3*3=9, Resulting Numbers: [61, 9] Generated Node #3: [61, 9] from Operation: 3*3=9 Current State: 52:[61, 9], Operations: ['63-60=3', '3*3=9'] Exploring Operation: 61-9=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 26, 61, 29, 56 ]
11
[ "26+29=55", "61-56=5", "55/5=11" ]
Current State: 11:[26, 61, 29, 56], Operations: [] Exploring Operation: 26+29=55, Resulting Numbers: [61, 56, 55] Generated Node #2: [61, 56, 55] from Operation: 26+29=55 Current State: 11:[61, 56, 55], Operations: ['26+29=55'] Exploring Operation: 61-56=5, Resulting Numbers: [55, 5] Generated Node #3: [55, 5] from Operation: 61-56=5 Current State: 11:[55, 5], Operations: ['26+29=55', '61-56=5'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 3, 55, 88, 56 ]
85
[ "88-3=85", "56-55=1", "85*1=85" ]
Current State: 85:[3, 55, 88, 56], Operations: [] Exploring Operation: 88-3=85, Resulting Numbers: [55, 56, 85] Generated Node #2: [55, 56, 85] from Operation: 88-3=85 Current State: 85:[55, 56, 85], Operations: ['88-3=85'] Exploring Operation: 56-55=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 56-55=1 Current State: 85:[85, 1], Operations: ['88-3=85', '56-55=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 35, 35, 66, 16 ]
64
[ "35+35=70", "70-66=4", "16*4=64" ]
Current State: 64:[35, 35, 66, 16], Operations: [] Exploring Operation: 35+35=70, Resulting Numbers: [66, 16, 70] Generated Node #2: [66, 16, 70] from Operation: 35+35=70 Current State: 64:[66, 16, 70], Operations: ['35+35=70'] Exploring Operation: 70-66=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 70-66=4 Current State: 64:[16, 4], Operations: ['35+35=70', '70-66=4'] Exploring Operation: 16*4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 74, 46, 72, 2 ]
86
[ "74-46=28", "28/2=14", "72+14=86" ]
Current State: 86:[74, 46, 72, 2], Operations: [] Exploring Operation: 74-46=28, Resulting Numbers: [72, 2, 28] Generated Node #2: [72, 2, 28] from Operation: 74-46=28 Current State: 86:[72, 2, 28], Operations: ['74-46=28'] Exploring Operation: 28/2=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 28/2=14 Current State: 86:[72, 14], Operations: ['74-46=28', '28/2=14'] Exploring Operation: 72+14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 92, 8, 18 ]
23
[ "36*92=3312", "8*18=144", "3312/144=23" ]
Current State: 23:[36, 92, 8, 18], Operations: [] Exploring Operation: 36*92=3312, Resulting Numbers: [8, 18, 3312] Generated Node #2: [8, 18, 3312] from Operation: 36*92=3312 Current State: 23:[8, 18, 3312], Operations: ['36*92=3312'] Exploring Operation: 8*18=144, Resulting Numbers: [3312, 144] Generated Node #3: [3312, 144] from Operation: 8*18=144 Current State: 23:[3312, 144], Operations: ['36*92=3312', '8*18=144'] Exploring Operation: 3312/144=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 14, 27, 63, 92 ]
70
[ "14+27=41", "92-63=29", "41+29=70" ]
Current State: 70:[14, 27, 63, 92], Operations: [] Exploring Operation: 14+27=41, Resulting Numbers: [63, 92, 41] Generated Node #2: [63, 92, 41] from Operation: 14+27=41 Current State: 70:[63, 92, 41], Operations: ['14+27=41'] Exploring Operation: 92-63=29, Resulting Numbers: [41, 29] Generated Node #3: [41, 29] from Operation: 92-63=29 Current State: 70:[41, 29], Operations: ['14+27=41', '92-63=29'] Exploring Operation: 41+29=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 49, 92, 8, 89 ]
54
[ "92-49=43", "8+89=97", "97-43=54" ]
Current State: 54:[49, 92, 8, 89], Operations: [] Exploring Operation: 92-49=43, Resulting Numbers: [8, 89, 43] Generated Node #2: [8, 89, 43] from Operation: 92-49=43 Current State: 54:[8, 89, 43], Operations: ['92-49=43'] Exploring Operation: 8+89=97, Resulting Numbers: [43, 97] Generated Node #3: [43, 97] from Operation: 8+89=97 Current State: 54:[43, 97], Operations: ['92-49=43', '8+89=97'] Exploring Operation: 97-43=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 81, 5, 90, 79 ]
65
[ "81-5=76", "90-79=11", "76-11=65" ]
Current State: 65:[81, 5, 90, 79], Operations: [] Exploring Operation: 81-5=76, Resulting Numbers: [90, 79, 76] Generated Node #2: [90, 79, 76] from Operation: 81-5=76 Current State: 65:[90, 79, 76], Operations: ['81-5=76'] Exploring Operation: 90-79=11, Resulting Numbers: [76, 11] Generated Node #3: [76, 11] from Operation: 90-79=11 Current State: 65:[76, 11], Operations: ['81-5=76', '90-79=11'] Exploring Operation: 76-11=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 96, 17, 9, 72 ]
87
[ "96-17=79", "72/9=8", "79+8=87" ]
Current State: 87:[96, 17, 9, 72], Operations: [] Exploring Operation: 96-17=79, Resulting Numbers: [9, 72, 79] Generated Node #2: [9, 72, 79] from Operation: 96-17=79 Current State: 87:[9, 72, 79], Operations: ['96-17=79'] Exploring Operation: 72/9=8, Resulting Numbers: [79, 8] Generated Node #3: [79, 8] from Operation: 72/9=8 Current State: 87:[79, 8], Operations: ['96-17=79', '72/9=8'] Exploring Operation: 79+8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 95, 86, 36, 99 ]
47
[ "95-86=9", "99/9=11", "36+11=47" ]
Current State: 47:[95, 86, 36, 99], Operations: [] Exploring Operation: 95-86=9, Resulting Numbers: [36, 99, 9] Generated Node #2: [36, 99, 9] from Operation: 95-86=9 Current State: 47:[36, 99, 9], Operations: ['95-86=9'] Exploring Operation: 99/9=11, Resulting Numbers: [36, 11] Generated Node #3: [36, 11] from Operation: 99/9=11 Current State: 47:[36, 11], Operations: ['95-86=9', '99/9=11'] Exploring Operation: 36+11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 85, 87, 19 ]
48
[ "87-85=2", "19*2=38", "86-38=48" ]
Current State: 48:[86, 85, 87, 19], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [86, 19, 2] Generated Node #2: [86, 19, 2] from Operation: 87-85=2 Current State: 48:[86, 19, 2], Operations: ['87-85=2'] Exploring Operation: 19*2=38, Resulting Numbers: [86, 38] Generated Node #3: [86, 38] from Operation: 19*2=38 Current State: 48:[86, 38], Operations: ['87-85=2', '19*2=38'] Exploring Operation: 86-38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 53, 19, 25, 19 ]
53
[ "19-19=0", "25*0=0", "53+0=53" ]
Current State: 53:[53, 19, 25, 19], Operations: [] Exploring Operation: 19-19=0, Resulting Numbers: [53, 25, 0] Generated Node #2: [53, 25, 0] from Operation: 19-19=0 Current State: 53:[53, 25, 0], Operations: ['19-19=0'] Exploring Operation: 25*0=0, Resulting Numbers: [53, 0] Generated Node #3: [53, 0] from Operation: 25*0=0 Current State: 53:[53, 0], Operations: ['19-19=0', '25*0=0'] Exploring Operation: 53+0=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 40, 34, 75, 89 ]
90
[ "40+34=74", "75+89=164", "164-74=90" ]
Current State: 90:[40, 34, 75, 89], Operations: [] Exploring Operation: 40+34=74, Resulting Numbers: [75, 89, 74] Generated Node #2: [75, 89, 74] from Operation: 40+34=74 Current State: 90:[75, 89, 74], Operations: ['40+34=74'] Exploring Operation: 75+89=164, Resulting Numbers: [74, 164] Generated Node #3: [74, 164] from Operation: 75+89=164 Current State: 90:[74, 164], Operations: ['40+34=74', '75+89=164'] Exploring Operation: 164-74=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 67, 5, 33, 27 ]
68
[ "67-5=62", "33-27=6", "62+6=68" ]
Current State: 68:[67, 5, 33, 27], Operations: [] Exploring Operation: 67-5=62, Resulting Numbers: [33, 27, 62] Generated Node #2: [33, 27, 62] from Operation: 67-5=62 Current State: 68:[33, 27, 62], Operations: ['67-5=62'] Exploring Operation: 33-27=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 33-27=6 Current State: 68:[62, 6], Operations: ['67-5=62', '33-27=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 23, 91, 43, 20 ]
90
[ "43-23=20", "20/20=1", "91-1=90" ]
Current State: 90:[23, 91, 43, 20], Operations: [] Exploring Operation: 43-23=20, Resulting Numbers: [91, 20, 20] Generated Node #2: [91, 20, 20] from Operation: 43-23=20 Current State: 90:[91, 20, 20], Operations: ['43-23=20'] Exploring Operation: 20/20=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 20/20=1 Current State: 90:[91, 1], Operations: ['43-23=20', '20/20=1'] Exploring Operation: 91-1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 31, 2, 28, 56 ]
90
[ "31*2=62", "56-28=28", "62+28=90" ]
Current State: 90:[31, 2, 28, 56], Operations: [] Exploring Operation: 31*2=62, Resulting Numbers: [28, 56, 62] Generated Node #2: [28, 56, 62] from Operation: 31*2=62 Current State: 90:[28, 56, 62], Operations: ['31*2=62'] Exploring Operation: 56-28=28, Resulting Numbers: [62, 28] Generated Node #3: [62, 28] from Operation: 56-28=28 Current State: 90:[62, 28], Operations: ['31*2=62', '56-28=28'] Exploring Operation: 62+28=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 61, 80, 91, 46 ]
26
[ "80-61=19", "91-46=45", "45-19=26" ]
Current State: 26:[61, 80, 91, 46], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [91, 46, 19] Generated Node #2: [91, 46, 19] from Operation: 80-61=19 Current State: 26:[91, 46, 19], Operations: ['80-61=19'] Exploring Operation: 91-46=45, Resulting Numbers: [19, 45] Generated Node #3: [19, 45] from Operation: 91-46=45 Current State: 26:[19, 45], Operations: ['80-61=19', '91-46=45'] Exploring Operation: 45-19=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 14, 4, 6 ]
11
[ "5*14=70", "70-4=66", "66/6=11" ]
Current State: 11:[5, 14, 4, 6], Operations: [] Exploring Operation: 5*14=70, Resulting Numbers: [4, 6, 70] Generated Node #2: [4, 6, 70] from Operation: 5*14=70 Current State: 11:[4, 6, 70], Operations: ['5*14=70'] Exploring Operation: 70-4=66, Resulting Numbers: [6, 66] Generated Node #3: [6, 66] from Operation: 70-4=66 Current State: 11:[6, 66], Operations: ['5*14=70', '70-4=66'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 25, 26, 58, 60 ]
12
[ "60-58=2", "26/2=13", "25-13=12" ]
Current State: 12:[25, 26, 58, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [25, 26, 2] Generated Node #2: [25, 26, 2] from Operation: 60-58=2 Current State: 12:[25, 26, 2], Operations: ['60-58=2'] Exploring Operation: 26/2=13, Resulting Numbers: [25, 13] Generated Node #3: [25, 13] from Operation: 26/2=13 Current State: 12:[25, 13], Operations: ['60-58=2', '26/2=13'] Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 28, 57, 65 ]
57
[ "92-28=64", "65-64=1", "57*1=57" ]
Current State: 57:[92, 28, 57, 65], Operations: [] Exploring Operation: 92-28=64, Resulting Numbers: [57, 65, 64] Generated Node #2: [57, 65, 64] from Operation: 92-28=64 Current State: 57:[57, 65, 64], Operations: ['92-28=64'] Exploring Operation: 65-64=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 65-64=1 Current State: 57:[57, 1], Operations: ['92-28=64', '65-64=1'] Exploring Operation: 57*1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 25, 93, 23, 46 ]
49
[ "25+93=118", "23+46=69", "118-69=49" ]
Current State: 49:[25, 93, 23, 46], Operations: [] Exploring Operation: 25+93=118, Resulting Numbers: [23, 46, 118] Generated Node #2: [23, 46, 118] from Operation: 25+93=118 Current State: 49:[23, 46, 118], Operations: ['25+93=118'] Exploring Operation: 23+46=69, Resulting Numbers: [118, 69] Generated Node #3: [118, 69] from Operation: 23+46=69 Current State: 49:[118, 69], Operations: ['25+93=118', '23+46=69'] Exploring Operation: 118-69=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 60, 8, 38 ]
69
[ "8+38=46", "90*46=4140", "4140/60=69" ]
Current State: 69:[90, 60, 8, 38], Operations: [] Exploring Operation: 8+38=46, Resulting Numbers: [90, 60, 46] Generated Node #2: [90, 60, 46] from Operation: 8+38=46 Current State: 69:[90, 60, 46], Operations: ['8+38=46'] Exploring Operation: 90*46=4140, Resulting Numbers: [60, 4140] Generated Node #3: [60, 4140] from Operation: 90*46=4140 Current State: 69:[60, 4140], Operations: ['8+38=46', '90*46=4140'] Exploring Operation: 4140/60=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 91, 10, 20, 8 ]
97
[ "91+8=99", "20/10=2", "99-2=97" ]
Current State: 97:[91, 10, 20, 8], Operations: [] Exploring Operation: 91+8=99, Resulting Numbers: [10, 20, 99] Generated Node #2: [10, 20, 99] from Operation: 91+8=99 Current State: 97:[10, 20, 99], Operations: ['91+8=99'] Exploring Operation: 20/10=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 20/10=2 Current State: 97:[99, 2], Operations: ['91+8=99', '20/10=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 84, 2, 5, 43 ]
72
[ "84-5=79", "79-43=36", "2*36=72" ]
Current State: 72:[84, 2, 5, 43], Operations: [] Exploring Operation: 84-5=79, Resulting Numbers: [2, 43, 79] Generated Node #2: [2, 43, 79] from Operation: 84-5=79 Current State: 72:[2, 43, 79], Operations: ['84-5=79'] Exploring Operation: 79-43=36, Resulting Numbers: [2, 36] Generated Node #3: [2, 36] from Operation: 79-43=36 Current State: 72:[2, 36], Operations: ['84-5=79', '79-43=36'] Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 4, 37, 25, 2 ]
27
[ "37+25=62", "62/2=31", "31-4=27" ]
Current State: 27:[4, 37, 25, 2], Operations: [] Exploring Operation: 37+25=62, Resulting Numbers: [4, 2, 62] Generated Node #2: [4, 2, 62] from Operation: 37+25=62 Current State: 27:[4, 2, 62], Operations: ['37+25=62'] Exploring Operation: 62/2=31, Resulting Numbers: [4, 31] Generated Node #3: [4, 31] from Operation: 62/2=31 Current State: 27:[4, 31], Operations: ['37+25=62', '62/2=31'] Exploring Operation: 31-4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 59, 89, 80, 10 ]
59
[ "89-80=9", "10-9=1", "59*1=59" ]
Current State: 59:[59, 89, 80, 10], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [59, 10, 9] Generated Node #2: [59, 10, 9] from Operation: 89-80=9 Current State: 59:[59, 10, 9], Operations: ['89-80=9'] Exploring Operation: 10-9=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 10-9=1 Current State: 59:[59, 1], Operations: ['89-80=9', '10-9=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 52, 47, 26, 37 ]
42
[ "52/26=2", "47+37=84", "84/2=42" ]
Current State: 42:[52, 47, 26, 37], Operations: [] Exploring Operation: 52/26=2, Resulting Numbers: [47, 37, 2] Generated Node #2: [47, 37, 2] from Operation: 52/26=2 Current State: 42:[47, 37, 2], Operations: ['52/26=2'] Exploring Operation: 47+37=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 47+37=84 Current State: 42:[2, 84], Operations: ['52/26=2', '47+37=84'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 38, 44, 38, 25 ]
57
[ "44-38=6", "38+25=63", "63-6=57" ]
Current State: 57:[38, 44, 38, 25], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [25, 6] Generated Node #2: [25, 6] from Operation: 44-38=6 Current State: 57:[25, 6], Operations: ['44-38=6'] Exploring Operation: 38+25=63, Resulting Numbers: [6, 63] Generated Node #3: [6, 63] from Operation: 38+25=63 Current State: 57:[6, 63], Operations: ['44-38=6', '38+25=63'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 66, 32, 85, 95 ]
37
[ "85-66=19", "95/19=5", "32+5=37" ]
Current State: 37:[66, 32, 85, 95], Operations: [] Exploring Operation: 85-66=19, Resulting Numbers: [32, 95, 19] Generated Node #2: [32, 95, 19] from Operation: 85-66=19 Current State: 37:[32, 95, 19], Operations: ['85-66=19'] Exploring Operation: 95/19=5, Resulting Numbers: [32, 5] Generated Node #3: [32, 5] from Operation: 95/19=5 Current State: 37:[32, 5], Operations: ['85-66=19', '95/19=5'] Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 25, 80, 2 ]
50
[ "30+25=55", "80-55=25", "2*25=50" ]
Current State: 50:[30, 25, 80, 2], Operations: [] Exploring Operation: 30+25=55, Resulting Numbers: [80, 2, 55] Generated Node #2: [80, 2, 55] from Operation: 30+25=55 Current State: 50:[80, 2, 55], Operations: ['30+25=55'] Exploring Operation: 80-55=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 80-55=25 Current State: 50:[2, 25], Operations: ['30+25=55', '80-55=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 4, 60, 81 ]
87
[ "7-4=3", "81/3=27", "60+27=87" ]
Current State: 87:[7, 4, 60, 81], Operations: [] Exploring Operation: 7-4=3, Resulting Numbers: [60, 81, 3] Generated Node #2: [60, 81, 3] from Operation: 7-4=3 Current State: 87:[60, 81, 3], Operations: ['7-4=3'] Exploring Operation: 81/3=27, Resulting Numbers: [60, 27] Generated Node #3: [60, 27] from Operation: 81/3=27 Current State: 87:[60, 27], Operations: ['7-4=3', '81/3=27'] Exploring Operation: 60+27=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 93, 82, 36, 62 ]
69
[ "82-36=46", "93*46=4278", "4278/62=69" ]
Current State: 69:[93, 82, 36, 62], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [93, 62, 46] Generated Node #2: [93, 62, 46] from Operation: 82-36=46 Current State: 69:[93, 62, 46], Operations: ['82-36=46'] Exploring Operation: 93*46=4278, Resulting Numbers: [62, 4278] Generated Node #3: [62, 4278] from Operation: 93*46=4278 Current State: 69:[62, 4278], Operations: ['82-36=46', '93*46=4278'] Exploring Operation: 4278/62=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 1, 70, 44 ]
70
[ "1-1=0", "44*0=0", "70+0=70" ]
Current State: 70:[1, 1, 70, 44], Operations: [] Exploring Operation: 1-1=0, Resulting Numbers: [70, 44, 0] Generated Node #2: [70, 44, 0] from Operation: 1-1=0 Current State: 70:[70, 44, 0], Operations: ['1-1=0'] Exploring Operation: 44*0=0, Resulting Numbers: [70, 0] Generated Node #3: [70, 0] from Operation: 44*0=0 Current State: 70:[70, 0], Operations: ['1-1=0', '44*0=0'] Exploring Operation: 70+0=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 2, 25, 12 ]
43
[ "12-5=7", "2*25=50", "50-7=43" ]
Current State: 43:[5, 2, 25, 12], Operations: [] Exploring Operation: 12-5=7, Resulting Numbers: [2, 25, 7] Generated Node #2: [2, 25, 7] from Operation: 12-5=7 Current State: 43:[2, 25, 7], Operations: ['12-5=7'] Exploring Operation: 2*25=50, Resulting Numbers: [7, 50] Generated Node #3: [7, 50] from Operation: 2*25=50 Current State: 43:[7, 50], Operations: ['12-5=7', '2*25=50'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 34, 86, 53, 82 ]
20
[ "34*53=1802", "1802-82=1720", "1720/86=20" ]
Current State: 20:[34, 86, 53, 82], Operations: [] Exploring Operation: 34*53=1802, Resulting Numbers: [86, 82, 1802] Generated Node #2: [86, 82, 1802] from Operation: 34*53=1802 Current State: 20:[86, 82, 1802], Operations: ['34*53=1802'] Exploring Operation: 1802-82=1720, Resulting Numbers: [86, 1720] Generated Node #3: [86, 1720] from Operation: 1802-82=1720 Current State: 20:[86, 1720], Operations: ['34*53=1802', '1802-82=1720'] Exploring Operation: 1720/86=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 65, 22, 68, 26 ]
16
[ "68-65=3", "22+26=48", "48/3=16" ]
Current State: 16:[65, 22, 68, 26], Operations: [] Exploring Operation: 68-65=3, Resulting Numbers: [22, 26, 3] Generated Node #2: [22, 26, 3] from Operation: 68-65=3 Current State: 16:[22, 26, 3], Operations: ['68-65=3'] Exploring Operation: 22+26=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 22+26=48 Current State: 16:[3, 48], Operations: ['68-65=3', '22+26=48'] Exploring Operation: 48/3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 76, 13, 6, 18 ]
72
[ "76*18=1368", "13+6=19", "1368/19=72" ]
Current State: 72:[76, 13, 6, 18], Operations: [] Exploring Operation: 76*18=1368, Resulting Numbers: [13, 6, 1368] Generated Node #2: [13, 6, 1368] from Operation: 76*18=1368 Current State: 72:[13, 6, 1368], Operations: ['76*18=1368'] Exploring Operation: 13+6=19, Resulting Numbers: [1368, 19] Generated Node #3: [1368, 19] from Operation: 13+6=19 Current State: 72:[1368, 19], Operations: ['76*18=1368', '13+6=19'] Exploring Operation: 1368/19=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 76, 18, 15, 41 ]
42
[ "76-41=35", "18*35=630", "630/15=42" ]
Current State: 42:[76, 18, 15, 41], Operations: [] Exploring Operation: 76-41=35, Resulting Numbers: [18, 15, 35] Generated Node #2: [18, 15, 35] from Operation: 76-41=35 Current State: 42:[18, 15, 35], Operations: ['76-41=35'] Exploring Operation: 18*35=630, Resulting Numbers: [15, 630] Generated Node #3: [15, 630] from Operation: 18*35=630 Current State: 42:[15, 630], Operations: ['76-41=35', '18*35=630'] Exploring Operation: 630/15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 22, 35, 58, 46 ]
25
[ "35-22=13", "58-46=12", "13+12=25" ]
Current State: 25:[22, 35, 58, 46], Operations: [] Exploring Operation: 35-22=13, Resulting Numbers: [58, 46, 13] Generated Node #2: [58, 46, 13] from Operation: 35-22=13 Current State: 25:[58, 46, 13], Operations: ['35-22=13'] Exploring Operation: 58-46=12, Resulting Numbers: [13, 12] Generated Node #3: [13, 12] from Operation: 58-46=12 Current State: 25:[13, 12], Operations: ['35-22=13', '58-46=12'] Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 59, 60, 75 ]
50
[ "75-25=50", "60-59=1", "50*1=50" ]
Current State: 50:[25, 59, 60, 75], Operations: [] Exploring Operation: 75-25=50, Resulting Numbers: [59, 60, 50] Generated Node #2: [59, 60, 50] from Operation: 75-25=50 Current State: 50:[59, 60, 50], Operations: ['75-25=50'] Exploring Operation: 60-59=1, Resulting Numbers: [50, 1] Generated Node #3: [50, 1] from Operation: 60-59=1 Current State: 50:[50, 1], Operations: ['75-25=50', '60-59=1'] Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 12, 98, 20 ]
95
[ "11+12=23", "98+20=118", "118-23=95" ]
Current State: 95:[11, 12, 98, 20], Operations: [] Exploring Operation: 11+12=23, Resulting Numbers: [98, 20, 23] Generated Node #2: [98, 20, 23] from Operation: 11+12=23 Current State: 95:[98, 20, 23], Operations: ['11+12=23'] Exploring Operation: 98+20=118, Resulting Numbers: [23, 118] Generated Node #3: [23, 118] from Operation: 98+20=118 Current State: 95:[23, 118], Operations: ['11+12=23', '98+20=118'] Exploring Operation: 118-23=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 58, 98, 97, 88 ]
31
[ "98-58=40", "97-88=9", "40-9=31" ]
Current State: 31:[58, 98, 97, 88], Operations: [] Exploring Operation: 98-58=40, Resulting Numbers: [97, 88, 40] Generated Node #2: [97, 88, 40] from Operation: 98-58=40 Current State: 31:[97, 88, 40], Operations: ['98-58=40'] Exploring Operation: 97-88=9, Resulting Numbers: [40, 9] Generated Node #3: [40, 9] from Operation: 97-88=9 Current State: 31:[40, 9], Operations: ['98-58=40', '97-88=9'] Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 81, 83, 52 ]
28
[ "81-78=3", "83-52=31", "31-3=28" ]
Current State: 28:[78, 81, 83, 52], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [83, 52, 3] Generated Node #2: [83, 52, 3] from Operation: 81-78=3 Current State: 28:[83, 52, 3], Operations: ['81-78=3'] Exploring Operation: 83-52=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 83-52=31 Current State: 28:[3, 31], Operations: ['81-78=3', '83-52=31'] Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 25, 66, 21 ]
63
[ "28*66=1848", "1848/21=88", "88-25=63" ]
Current State: 63:[28, 25, 66, 21], Operations: [] Exploring Operation: 28*66=1848, Resulting Numbers: [25, 21, 1848] Generated Node #2: [25, 21, 1848] from Operation: 28*66=1848 Current State: 63:[25, 21, 1848], Operations: ['28*66=1848'] Exploring Operation: 1848/21=88, Resulting Numbers: [25, 88] Generated Node #3: [25, 88] from Operation: 1848/21=88 Current State: 63:[25, 88], Operations: ['28*66=1848', '1848/21=88'] Exploring Operation: 88-25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4