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
[ 19, 28, 71, 61 ]
19
[ "28-19=9", "71-61=10", "9+10=19" ]
Current State: 19:[19, 28, 71, 61], Operations: [] Exploring Operation: 28-19=9, Resulting Numbers: [71, 61, 9] Generated Node #2: [71, 61, 9] from Operation: 28-19=9 Current State: 19:[71, 61, 9], Operations: ['28-19=9'] Exploring Operation: 71-61=10, Resulting Numbers: [9, 10] Generated Node #3: [9, 10] from Operation: 71-61=10 Current State: 19:[9, 10], Operations: ['28-19=9', '71-61=10'] Exploring Operation: 9+10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 54, 10, 83, 2 ]
17
[ "54+10=64", "83-2=81", "81-64=17" ]
Current State: 17:[54, 10, 83, 2], Operations: [] Exploring Operation: 54+10=64, Resulting Numbers: [83, 2, 64] Generated Node #2: [83, 2, 64] from Operation: 54+10=64 Current State: 17:[83, 2, 64], Operations: ['54+10=64'] Exploring Operation: 83-2=81, Resulting Numbers: [64, 81] Generated Node #3: [64, 81] from Operation: 83-2=81 Current State: 17:[64, 81], Operations: ['54+10=64', '83-2=81'] Exploring Operation: 81-64=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 32, 38, 18 ]
40
[ "4+32=36", "36/18=2", "38+2=40" ]
Current State: 40:[4, 32, 38, 18], Operations: [] Exploring Operation: 4+32=36, Resulting Numbers: [38, 18, 36] Generated Node #2: [38, 18, 36] from Operation: 4+32=36 Current State: 40:[38, 18, 36], Operations: ['4+32=36'] Exploring Operation: 36/18=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 36/18=2 Current State: 40:[38, 2], Operations: ['4+32=36', '36/18=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 48, 54, 93 ]
75
[ "84-48=36", "93-54=39", "36+39=75" ]
Current State: 75:[84, 48, 54, 93], Operations: [] Exploring Operation: 84-48=36, Resulting Numbers: [54, 93, 36] Generated Node #2: [54, 93, 36] from Operation: 84-48=36 Current State: 75:[54, 93, 36], Operations: ['84-48=36'] Exploring Operation: 93-54=39, Resulting Numbers: [36, 39] Generated Node #3: [36, 39] from Operation: 93-54=39 Current State: 75:[36, 39], Operations: ['84-48=36', '93-54=39'] Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 75, 8, 15, 79 ]
88
[ "75+15=90", "90-79=11", "8*11=88" ]
Current State: 88:[75, 8, 15, 79], Operations: [] Exploring Operation: 75+15=90, Resulting Numbers: [8, 79, 90] Generated Node #2: [8, 79, 90] from Operation: 75+15=90 Current State: 88:[8, 79, 90], Operations: ['75+15=90'] Exploring Operation: 90-79=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 90-79=11 Current State: 88:[8, 11], Operations: ['75+15=90', '90-79=11'] Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 96, 11, 23, 63 ]
21
[ "96+11=107", "23+63=86", "107-86=21" ]
Current State: 21:[96, 11, 23, 63], Operations: [] Exploring Operation: 96+11=107, Resulting Numbers: [23, 63, 107] Generated Node #2: [23, 63, 107] from Operation: 96+11=107 Current State: 21:[23, 63, 107], Operations: ['96+11=107'] Exploring Operation: 23+63=86, Resulting Numbers: [107, 86] Generated Node #3: [107, 86] from Operation: 23+63=86 Current State: 21:[107, 86], Operations: ['96+11=107', '23+63=86'] Exploring Operation: 107-86=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 5, 90, 72, 21 ]
15
[ "90-72=18", "21-18=3", "5*3=15" ]
Current State: 15:[5, 90, 72, 21], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [5, 21, 18] Generated Node #2: [5, 21, 18] from Operation: 90-72=18 Current State: 15:[5, 21, 18], Operations: ['90-72=18'] Exploring Operation: 21-18=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 21-18=3 Current State: 15:[5, 3], Operations: ['90-72=18', '21-18=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 99, 42, 15, 30 ]
32
[ "99-15=84", "84/42=2", "30+2=32" ]
Current State: 32:[99, 42, 15, 30], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [42, 30, 84] Generated Node #2: [42, 30, 84] from Operation: 99-15=84 Current State: 32:[42, 30, 84], Operations: ['99-15=84'] Exploring Operation: 84/42=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 84/42=2 Current State: 32:[30, 2], Operations: ['99-15=84', '84/42=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 19, 17, 60 ]
64
[ "68*17=1156", "60+1156=1216", "1216/19=64" ]
Current State: 64:[68, 19, 17, 60], Operations: [] Exploring Operation: 68*17=1156, Resulting Numbers: [19, 60, 1156] Generated Node #2: [19, 60, 1156] from Operation: 68*17=1156 Current State: 64:[19, 60, 1156], Operations: ['68*17=1156'] Exploring Operation: 60+1156=1216, Resulting Numbers: [19, 1216] Generated Node #3: [19, 1216] from Operation: 60+1156=1216 Current State: 64:[19, 1216], Operations: ['68*17=1156', '60+1156=1216'] Exploring Operation: 1216/19=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 40, 26, 2, 46 ]
50
[ "46-26=20", "20/2=10", "40+10=50" ]
Current State: 50:[40, 26, 2, 46], Operations: [] Exploring Operation: 46-26=20, Resulting Numbers: [40, 2, 20] Generated Node #2: [40, 2, 20] from Operation: 46-26=20 Current State: 50:[40, 2, 20], Operations: ['46-26=20'] Exploring Operation: 20/2=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 20/2=10 Current State: 50:[40, 10], Operations: ['46-26=20', '20/2=10'] Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 1, 50, 6, 58 ]
47
[ "58-50=8", "6*8=48", "48-1=47" ]
Current State: 47:[1, 50, 6, 58], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [1, 6, 8] Generated Node #2: [1, 6, 8] from Operation: 58-50=8 Current State: 47:[1, 6, 8], Operations: ['58-50=8'] Exploring Operation: 6*8=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 6*8=48 Current State: 47:[1, 48], Operations: ['58-50=8', '6*8=48'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 56, 52, 36, 75 ]
78
[ "56+52=108", "108/36=3", "75+3=78" ]
Current State: 78:[56, 52, 36, 75], Operations: [] Exploring Operation: 56+52=108, Resulting Numbers: [36, 75, 108] Generated Node #2: [36, 75, 108] from Operation: 56+52=108 Current State: 78:[36, 75, 108], Operations: ['56+52=108'] Exploring Operation: 108/36=3, Resulting Numbers: [75, 3] Generated Node #3: [75, 3] from Operation: 108/36=3 Current State: 78:[75, 3], Operations: ['56+52=108', '108/36=3'] Exploring Operation: 75+3=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 46, 18, 39, 78 ]
62
[ "46+18=64", "78/39=2", "64-2=62" ]
Current State: 62:[46, 18, 39, 78], Operations: [] Exploring Operation: 46+18=64, Resulting Numbers: [39, 78, 64] Generated Node #2: [39, 78, 64] from Operation: 46+18=64 Current State: 62:[39, 78, 64], Operations: ['46+18=64'] Exploring Operation: 78/39=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 78/39=2 Current State: 62:[64, 2], Operations: ['46+18=64', '78/39=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 78, 10, 87, 90 ]
33
[ "90-78=12", "10*12=120", "120-87=33" ]
Current State: 33:[78, 10, 87, 90], Operations: [] Exploring Operation: 90-78=12, Resulting Numbers: [10, 87, 12] Generated Node #2: [10, 87, 12] from Operation: 90-78=12 Current State: 33:[10, 87, 12], Operations: ['90-78=12'] Exploring Operation: 10*12=120, Resulting Numbers: [87, 120] Generated Node #3: [87, 120] from Operation: 10*12=120 Current State: 33:[87, 120], Operations: ['90-78=12', '10*12=120'] Exploring Operation: 120-87=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 10, 28, 2, 4 ]
50
[ "10-4=6", "28*2=56", "56-6=50" ]
Current State: 50:[10, 28, 2, 4], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [28, 2, 6] Generated Node #2: [28, 2, 6] from Operation: 10-4=6 Current State: 50:[28, 2, 6], Operations: ['10-4=6'] Exploring Operation: 28*2=56, Resulting Numbers: [6, 56] Generated Node #3: [6, 56] from Operation: 28*2=56 Current State: 50:[6, 56], Operations: ['10-4=6', '28*2=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 66, 99, 91 ]
77
[ "19+66=85", "99-91=8", "85-8=77" ]
Current State: 77:[19, 66, 99, 91], Operations: [] Exploring Operation: 19+66=85, Resulting Numbers: [99, 91, 85] Generated Node #2: [99, 91, 85] from Operation: 19+66=85 Current State: 77:[99, 91, 85], Operations: ['19+66=85'] Exploring Operation: 99-91=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 99-91=8 Current State: 77:[85, 8], Operations: ['19+66=85', '99-91=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 26, 21, 78, 63 ]
39
[ "78/26=3", "63-21=42", "42-3=39" ]
Current State: 39:[26, 21, 78, 63], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [21, 63, 3] Generated Node #2: [21, 63, 3] from Operation: 78/26=3 Current State: 39:[21, 63, 3], Operations: ['78/26=3'] Exploring Operation: 63-21=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 63-21=42 Current State: 39:[3, 42], Operations: ['78/26=3', '63-21=42'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 14, 19, 8, 89 ]
42
[ "14*8=112", "89-19=70", "112-70=42" ]
Current State: 42:[14, 19, 8, 89], Operations: [] Exploring Operation: 14*8=112, Resulting Numbers: [19, 89, 112] Generated Node #2: [19, 89, 112] from Operation: 14*8=112 Current State: 42:[19, 89, 112], Operations: ['14*8=112'] Exploring Operation: 89-19=70, Resulting Numbers: [112, 70] Generated Node #3: [112, 70] from Operation: 89-19=70 Current State: 42:[112, 70], Operations: ['14*8=112', '89-19=70'] Exploring Operation: 112-70=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 62, 9, 15, 59 ]
12
[ "62-59=3", "9*3=27", "27-15=12" ]
Current State: 12:[62, 9, 15, 59], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [9, 15, 3] Generated Node #2: [9, 15, 3] from Operation: 62-59=3 Current State: 12:[9, 15, 3], Operations: ['62-59=3'] Exploring Operation: 9*3=27, Resulting Numbers: [15, 27] Generated Node #3: [15, 27] from Operation: 9*3=27 Current State: 12:[15, 27], Operations: ['62-59=3', '9*3=27'] Exploring Operation: 27-15=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 18, 17, 1 ]
42
[ "41+18=59", "17*1=17", "59-17=42" ]
Current State: 42:[41, 18, 17, 1], Operations: [] Exploring Operation: 41+18=59, Resulting Numbers: [17, 1, 59] Generated Node #2: [17, 1, 59] from Operation: 41+18=59 Current State: 42:[17, 1, 59], Operations: ['41+18=59'] Exploring Operation: 17*1=17, Resulting Numbers: [59, 17] Generated Node #3: [59, 17] from Operation: 17*1=17 Current State: 42:[59, 17], Operations: ['41+18=59', '17*1=17'] Exploring Operation: 59-17=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 17, 96, 74, 10 ]
49
[ "17+96=113", "74-10=64", "113-64=49" ]
Current State: 49:[17, 96, 74, 10], Operations: [] Exploring Operation: 17+96=113, Resulting Numbers: [74, 10, 113] Generated Node #2: [74, 10, 113] from Operation: 17+96=113 Current State: 49:[74, 10, 113], Operations: ['17+96=113'] Exploring Operation: 74-10=64, Resulting Numbers: [113, 64] Generated Node #3: [113, 64] from Operation: 74-10=64 Current State: 49:[113, 64], Operations: ['17+96=113', '74-10=64'] Exploring Operation: 113-64=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 84, 10, 71 ]
12
[ "12*71=852", "84*10=840", "852-840=12" ]
Current State: 12:[12, 84, 10, 71], Operations: [] Exploring Operation: 12*71=852, Resulting Numbers: [84, 10, 852] Generated Node #2: [84, 10, 852] from Operation: 12*71=852 Current State: 12:[84, 10, 852], Operations: ['12*71=852'] Exploring Operation: 84*10=840, Resulting Numbers: [852, 840] Generated Node #3: [852, 840] from Operation: 84*10=840 Current State: 12:[852, 840], Operations: ['12*71=852', '84*10=840'] Exploring Operation: 852-840=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 2, 94, 35 ]
95
[ "35/35=1", "2+94=96", "96-1=95" ]
Current State: 95:[35, 2, 94, 35], Operations: [] Exploring Operation: 35/35=1, Resulting Numbers: [2, 94, 1] Generated Node #2: [2, 94, 1] from Operation: 35/35=1 Current State: 95:[2, 94, 1], Operations: ['35/35=1'] Exploring Operation: 2+94=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 2+94=96 Current State: 95:[1, 96], Operations: ['35/35=1', '2+94=96'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 55, 3, 53, 76 ]
98
[ "53+76=129", "129/3=43", "55+43=98" ]
Current State: 98:[55, 3, 53, 76], Operations: [] Exploring Operation: 53+76=129, Resulting Numbers: [55, 3, 129] Generated Node #2: [55, 3, 129] from Operation: 53+76=129 Current State: 98:[55, 3, 129], Operations: ['53+76=129'] Exploring Operation: 129/3=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 129/3=43 Current State: 98:[55, 43], Operations: ['53+76=129', '129/3=43'] Exploring Operation: 55+43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 98, 9, 15, 36 ]
79
[ "98-15=83", "36/9=4", "83-4=79" ]
Current State: 79:[98, 9, 15, 36], Operations: [] Exploring Operation: 98-15=83, Resulting Numbers: [9, 36, 83] Generated Node #2: [9, 36, 83] from Operation: 98-15=83 Current State: 79:[9, 36, 83], Operations: ['98-15=83'] Exploring Operation: 36/9=4, Resulting Numbers: [83, 4] Generated Node #3: [83, 4] from Operation: 36/9=4 Current State: 79:[83, 4], Operations: ['98-15=83', '36/9=4'] Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 32, 73, 77, 52 ]
16
[ "73-32=41", "77-52=25", "41-25=16" ]
Current State: 16:[32, 73, 77, 52], Operations: [] Exploring Operation: 73-32=41, Resulting Numbers: [77, 52, 41] Generated Node #2: [77, 52, 41] from Operation: 73-32=41 Current State: 16:[77, 52, 41], Operations: ['73-32=41'] Exploring Operation: 77-52=25, Resulting Numbers: [41, 25] Generated Node #3: [41, 25] from Operation: 77-52=25 Current State: 16:[41, 25], Operations: ['73-32=41', '77-52=25'] Exploring Operation: 41-25=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 11, 89, 5, 20 ]
93
[ "89-11=78", "20-5=15", "78+15=93" ]
Current State: 93:[11, 89, 5, 20], Operations: [] Exploring Operation: 89-11=78, Resulting Numbers: [5, 20, 78] Generated Node #2: [5, 20, 78] from Operation: 89-11=78 Current State: 93:[5, 20, 78], Operations: ['89-11=78'] Exploring Operation: 20-5=15, Resulting Numbers: [78, 15] Generated Node #3: [78, 15] from Operation: 20-5=15 Current State: 93:[78, 15], Operations: ['89-11=78', '20-5=15'] Exploring Operation: 78+15=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 68, 57, 73, 75 ]
23
[ "68+57=125", "73+75=148", "148-125=23" ]
Current State: 23:[68, 57, 73, 75], Operations: [] Exploring Operation: 68+57=125, Resulting Numbers: [73, 75, 125] Generated Node #2: [73, 75, 125] from Operation: 68+57=125 Current State: 23:[73, 75, 125], Operations: ['68+57=125'] Exploring Operation: 73+75=148, Resulting Numbers: [125, 148] Generated Node #3: [125, 148] from Operation: 73+75=148 Current State: 23:[125, 148], Operations: ['68+57=125', '73+75=148'] Exploring Operation: 148-125=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 7, 6, 7 ]
98
[ "56/7=8", "6+8=14", "7*14=98" ]
Current State: 98:[56, 7, 6, 7], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [6, 8] Generated Node #2: [6, 8] from Operation: 56/7=8 Current State: 98:[6, 8], Operations: ['56/7=8'] Exploring Operation: 6+8=14, Resulting Numbers: [14] 14,98 equal: Goal Reached Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 17, 32, 10 ]
15
[ "26-10=16", "32/16=2", "17-2=15" ]
Current State: 15:[26, 17, 32, 10], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [17, 32, 16] Generated Node #2: [17, 32, 16] from Operation: 26-10=16 Current State: 15:[17, 32, 16], Operations: ['26-10=16'] Exploring Operation: 32/16=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 32/16=2 Current State: 15:[17, 2], Operations: ['26-10=16', '32/16=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 87, 95, 74 ]
70
[ "95-87=8", "8/2=4", "74-4=70" ]
Current State: 70:[2, 87, 95, 74], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [2, 74, 8] Generated Node #2: [2, 74, 8] from Operation: 95-87=8 Current State: 70:[2, 74, 8], Operations: ['95-87=8'] Exploring Operation: 8/2=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 8/2=4 Current State: 70:[74, 4], Operations: ['95-87=8', '8/2=4'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 12, 33, 6 ]
99
[ "54*33=1782", "12+6=18", "1782/18=99" ]
Current State: 99:[54, 12, 33, 6], Operations: [] Exploring Operation: 54*33=1782, Resulting Numbers: [12, 6, 1782] Generated Node #2: [12, 6, 1782] from Operation: 54*33=1782 Current State: 99:[12, 6, 1782], Operations: ['54*33=1782'] Exploring Operation: 12+6=18, Resulting Numbers: [1782, 18] Generated Node #3: [1782, 18] from Operation: 12+6=18 Current State: 99:[1782, 18], Operations: ['54*33=1782', '12+6=18'] Exploring Operation: 1782/18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 96, 31, 55, 59 ]
63
[ "55-31=24", "96/24=4", "59+4=63" ]
Current State: 63:[96, 31, 55, 59], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [96, 59, 24] Generated Node #2: [96, 59, 24] from Operation: 55-31=24 Current State: 63:[96, 59, 24], Operations: ['55-31=24'] Exploring Operation: 96/24=4, Resulting Numbers: [59, 4] Generated Node #3: [59, 4] from Operation: 96/24=4 Current State: 63:[59, 4], Operations: ['55-31=24', '96/24=4'] Exploring Operation: 59+4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 93, 79, 47, 98 ]
37
[ "93-79=14", "98-47=51", "51-14=37" ]
Current State: 37:[93, 79, 47, 98], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [47, 98, 14] Generated Node #2: [47, 98, 14] from Operation: 93-79=14 Current State: 37:[47, 98, 14], Operations: ['93-79=14'] Exploring Operation: 98-47=51, Resulting Numbers: [14, 51] Generated Node #3: [14, 51] from Operation: 98-47=51 Current State: 37:[14, 51], Operations: ['93-79=14', '98-47=51'] Exploring Operation: 51-14=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 62, 12, 31, 86 ]
60
[ "12+31=43", "86/43=2", "62-2=60" ]
Current State: 60:[62, 12, 31, 86], Operations: [] Exploring Operation: 12+31=43, Resulting Numbers: [62, 86, 43] Generated Node #2: [62, 86, 43] from Operation: 12+31=43 Current State: 60:[62, 86, 43], Operations: ['12+31=43'] Exploring Operation: 86/43=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 86/43=2 Current State: 60:[62, 2], Operations: ['12+31=43', '86/43=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 67, 57, 4, 8 ]
14
[ "67-57=10", "8-4=4", "10+4=14" ]
Current State: 14:[67, 57, 4, 8], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [4, 8, 10] Generated Node #2: [4, 8, 10] from Operation: 67-57=10 Current State: 14:[4, 8, 10], Operations: ['67-57=10'] Exploring Operation: 8-4=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 8-4=4 Current State: 14:[10, 4], Operations: ['67-57=10', '8-4=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 38, 27, 11 ]
26
[ "48-38=10", "27-11=16", "10+16=26" ]
Current State: 26:[48, 38, 27, 11], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [27, 11, 10] Generated Node #2: [27, 11, 10] from Operation: 48-38=10 Current State: 26:[27, 11, 10], Operations: ['48-38=10'] Exploring Operation: 27-11=16, Resulting Numbers: [10, 16] Generated Node #3: [10, 16] from Operation: 27-11=16 Current State: 26:[10, 16], Operations: ['48-38=10', '27-11=16'] Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 13, 68, 84, 44 ]
22
[ "13*68=884", "84+884=968", "968/44=22" ]
Current State: 22:[13, 68, 84, 44], Operations: [] Exploring Operation: 13*68=884, Resulting Numbers: [84, 44, 884] Generated Node #2: [84, 44, 884] from Operation: 13*68=884 Current State: 22:[84, 44, 884], Operations: ['13*68=884'] Exploring Operation: 84+884=968, Resulting Numbers: [44, 968] Generated Node #3: [44, 968] from Operation: 84+884=968 Current State: 22:[44, 968], Operations: ['13*68=884', '84+884=968'] Exploring Operation: 968/44=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 31, 93, 58, 6 ]
67
[ "93/31=3", "58+6=64", "3+64=67" ]
Current State: 67:[31, 93, 58, 6], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [58, 6, 3] Generated Node #2: [58, 6, 3] from Operation: 93/31=3 Current State: 67:[58, 6, 3], Operations: ['93/31=3'] Exploring Operation: 58+6=64, Resulting Numbers: [3, 64] Generated Node #3: [3, 64] from Operation: 58+6=64 Current State: 67:[3, 64], Operations: ['93/31=3', '58+6=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 57, 11, 28 ]
29
[ "57-45=12", "28-11=17", "12+17=29" ]
Current State: 29:[45, 57, 11, 28], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [11, 28, 12] Generated Node #2: [11, 28, 12] from Operation: 57-45=12 Current State: 29:[11, 28, 12], Operations: ['57-45=12'] Exploring Operation: 28-11=17, Resulting Numbers: [12, 17] Generated Node #3: [12, 17] from Operation: 28-11=17 Current State: 29:[12, 17], Operations: ['57-45=12', '28-11=17'] Exploring Operation: 12+17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 29, 45, 89, 20 ]
35
[ "29+45=74", "89+20=109", "109-74=35" ]
Current State: 35:[29, 45, 89, 20], Operations: [] Exploring Operation: 29+45=74, Resulting Numbers: [89, 20, 74] Generated Node #2: [89, 20, 74] from Operation: 29+45=74 Current State: 35:[89, 20, 74], Operations: ['29+45=74'] Exploring Operation: 89+20=109, Resulting Numbers: [74, 109] Generated Node #3: [74, 109] from Operation: 89+20=109 Current State: 35:[74, 109], Operations: ['29+45=74', '89+20=109'] Exploring Operation: 109-74=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 66, 61, 40, 3 ]
73
[ "61-40=21", "21/3=7", "66+7=73" ]
Current State: 73:[66, 61, 40, 3], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [66, 3, 21] Generated Node #2: [66, 3, 21] from Operation: 61-40=21 Current State: 73:[66, 3, 21], Operations: ['61-40=21'] Exploring Operation: 21/3=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 21/3=7 Current State: 73:[66, 7], Operations: ['61-40=21', '21/3=7'] Exploring Operation: 66+7=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 67, 93, 58 ]
37
[ "47+67=114", "93+58=151", "151-114=37" ]
Current State: 37:[47, 67, 93, 58], Operations: [] Exploring Operation: 47+67=114, Resulting Numbers: [93, 58, 114] Generated Node #2: [93, 58, 114] from Operation: 47+67=114 Current State: 37:[93, 58, 114], Operations: ['47+67=114'] Exploring Operation: 93+58=151, Resulting Numbers: [114, 151] Generated Node #3: [114, 151] from Operation: 93+58=151 Current State: 37:[114, 151], Operations: ['47+67=114', '93+58=151'] Exploring Operation: 151-114=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 34, 63, 69, 13 ]
85
[ "63-34=29", "69-13=56", "29+56=85" ]
Current State: 85:[34, 63, 69, 13], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [69, 13, 29] Generated Node #2: [69, 13, 29] from Operation: 63-34=29 Current State: 85:[69, 13, 29], Operations: ['63-34=29'] Exploring Operation: 69-13=56, Resulting Numbers: [29, 56] Generated Node #3: [29, 56] from Operation: 69-13=56 Current State: 85:[29, 56], Operations: ['63-34=29', '69-13=56'] Exploring Operation: 29+56=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 45, 91, 51, 2 ]
83
[ "45+91=136", "51+2=53", "136-53=83" ]
Current State: 83:[45, 91, 51, 2], Operations: [] Exploring Operation: 45+91=136, Resulting Numbers: [51, 2, 136] Generated Node #2: [51, 2, 136] from Operation: 45+91=136 Current State: 83:[51, 2, 136], Operations: ['45+91=136'] Exploring Operation: 51+2=53, Resulting Numbers: [136, 53] Generated Node #3: [136, 53] from Operation: 51+2=53 Current State: 83:[136, 53], Operations: ['45+91=136', '51+2=53'] Exploring Operation: 136-53=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 27, 70, 29, 24 ]
59
[ "29-27=2", "70/2=35", "24+35=59" ]
Current State: 59:[27, 70, 29, 24], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [70, 24, 2] Generated Node #2: [70, 24, 2] from Operation: 29-27=2 Current State: 59:[70, 24, 2], Operations: ['29-27=2'] Exploring Operation: 70/2=35, Resulting Numbers: [24, 35] Generated Node #3: [24, 35] from Operation: 70/2=35 Current State: 59:[24, 35], Operations: ['29-27=2', '70/2=35'] Exploring Operation: 24+35=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 16, 26, 84, 42 ]
83
[ "16+26=42", "42/42=1", "84-1=83" ]
Current State: 83:[16, 26, 84, 42], Operations: [] Exploring Operation: 16+26=42, Resulting Numbers: [84, 42, 42] Generated Node #2: [84, 42, 42] from Operation: 16+26=42 Current State: 83:[84, 42, 42], Operations: ['16+26=42'] Exploring Operation: 42/42=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 42/42=1 Current State: 83:[84, 1], Operations: ['16+26=42', '42/42=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 15, 41, 5, 19 ]
50
[ "41-15=26", "5+19=24", "26+24=50" ]
Current State: 50:[15, 41, 5, 19], Operations: [] Exploring Operation: 41-15=26, Resulting Numbers: [5, 19, 26] Generated Node #2: [5, 19, 26] from Operation: 41-15=26 Current State: 50:[5, 19, 26], Operations: ['41-15=26'] Exploring Operation: 5+19=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 5+19=24 Current State: 50:[26, 24], Operations: ['41-15=26', '5+19=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 73, 95, 12 ]
69
[ "73+95=168", "168/12=14", "83-14=69" ]
Current State: 69:[83, 73, 95, 12], Operations: [] Exploring Operation: 73+95=168, Resulting Numbers: [83, 12, 168] Generated Node #2: [83, 12, 168] from Operation: 73+95=168 Current State: 69:[83, 12, 168], Operations: ['73+95=168'] Exploring Operation: 168/12=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 168/12=14 Current State: 69:[83, 14], Operations: ['73+95=168', '168/12=14'] Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 17, 90, 34, 60 ]
30
[ "34/17=2", "60*2=120", "120-90=30" ]
Current State: 30:[17, 90, 34, 60], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [90, 60, 2] Generated Node #2: [90, 60, 2] from Operation: 34/17=2 Current State: 30:[90, 60, 2], Operations: ['34/17=2'] Exploring Operation: 60*2=120, Resulting Numbers: [90, 120] Generated Node #3: [90, 120] from Operation: 60*2=120 Current State: 30:[90, 120], Operations: ['34/17=2', '60*2=120'] Exploring Operation: 120-90=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 1, 38, 51 ]
94
[ "5*1=5", "38+51=89", "5+89=94" ]
Current State: 94:[5, 1, 38, 51], Operations: [] Exploring Operation: 5*1=5, Resulting Numbers: [38, 51, 5] Generated Node #2: [38, 51, 5] from Operation: 5*1=5 Current State: 94:[38, 51, 5], Operations: ['5*1=5'] Exploring Operation: 38+51=89, Resulting Numbers: [5, 89] Generated Node #3: [5, 89] from Operation: 38+51=89 Current State: 94:[5, 89], Operations: ['5*1=5', '38+51=89'] Exploring Operation: 5+89=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 31, 6, 65, 41 ]
13
[ "31+6=37", "65-41=24", "37-24=13" ]
Current State: 13:[31, 6, 65, 41], Operations: [] Exploring Operation: 31+6=37, Resulting Numbers: [65, 41, 37] Generated Node #2: [65, 41, 37] from Operation: 31+6=37 Current State: 13:[65, 41, 37], Operations: ['31+6=37'] Exploring Operation: 65-41=24, Resulting Numbers: [37, 24] Generated Node #3: [37, 24] from Operation: 65-41=24 Current State: 13:[37, 24], Operations: ['31+6=37', '65-41=24'] Exploring Operation: 37-24=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 43, 35, 19 ]
37
[ "35+19=54", "54/9=6", "43-6=37" ]
Current State: 37:[9, 43, 35, 19], Operations: [] Exploring Operation: 35+19=54, Resulting Numbers: [9, 43, 54] Generated Node #2: [9, 43, 54] from Operation: 35+19=54 Current State: 37:[9, 43, 54], Operations: ['35+19=54'] Exploring Operation: 54/9=6, Resulting Numbers: [43, 6] Generated Node #3: [43, 6] from Operation: 54/9=6 Current State: 37:[43, 6], Operations: ['35+19=54', '54/9=6'] Exploring Operation: 43-6=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 20, 15, 83, 85 ]
90
[ "20+85=105", "105/15=7", "83+7=90" ]
Current State: 90:[20, 15, 83, 85], Operations: [] Exploring Operation: 20+85=105, Resulting Numbers: [15, 83, 105] Generated Node #2: [15, 83, 105] from Operation: 20+85=105 Current State: 90:[15, 83, 105], Operations: ['20+85=105'] Exploring Operation: 105/15=7, Resulting Numbers: [83, 7] Generated Node #3: [83, 7] from Operation: 105/15=7 Current State: 90:[83, 7], Operations: ['20+85=105', '105/15=7'] Exploring Operation: 83+7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 79, 25, 54, 3 ]
50
[ "79-54=25", "25*3=75", "75-25=50" ]
Current State: 50:[79, 25, 54, 3], Operations: [] Exploring Operation: 79-54=25, Resulting Numbers: [25, 3, 25] Generated Node #2: [25, 3, 25] from Operation: 79-54=25 Current State: 50:[25, 3, 25], Operations: ['79-54=25'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,50 equal: Goal Reached Exploring Operation: 75-25=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 78, 78, 49, 51 ]
51
[ "78-78=0", "49*0=0", "51+0=51" ]
Current State: 51:[78, 78, 49, 51], Operations: [] Exploring Operation: 78-78=0, Resulting Numbers: [49, 51, 0] Generated Node #2: [49, 51, 0] from Operation: 78-78=0 Current State: 51:[49, 51, 0], Operations: ['78-78=0'] Exploring Operation: 49*0=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 49*0=0 Current State: 51:[51, 0], Operations: ['78-78=0', '49*0=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 85, 13, 5, 35 ]
31
[ "85/5=17", "13+35=48", "48-17=31" ]
Current State: 31:[85, 13, 5, 35], Operations: [] Exploring Operation: 85/5=17, Resulting Numbers: [13, 35, 17] Generated Node #2: [13, 35, 17] from Operation: 85/5=17 Current State: 31:[13, 35, 17], Operations: ['85/5=17'] Exploring Operation: 13+35=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 13+35=48 Current State: 31:[17, 48], Operations: ['85/5=17', '13+35=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 72, 52, 4, 28 ]
33
[ "72-52=20", "20/4=5", "28+5=33" ]
Current State: 33:[72, 52, 4, 28], Operations: [] Exploring Operation: 72-52=20, Resulting Numbers: [4, 28, 20] Generated Node #2: [4, 28, 20] from Operation: 72-52=20 Current State: 33:[4, 28, 20], Operations: ['72-52=20'] Exploring Operation: 20/4=5, Resulting Numbers: [28, 5] Generated Node #3: [28, 5] from Operation: 20/4=5 Current State: 33:[28, 5], Operations: ['72-52=20', '20/4=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 87, 29, 7, 10 ]
49
[ "87/29=3", "10-3=7", "7*7=49" ]
Current State: 49:[87, 29, 7, 10], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [7, 10, 3] Generated Node #2: [7, 10, 3] from Operation: 87/29=3 Current State: 49:[7, 10, 3], Operations: ['87/29=3'] Exploring Operation: 10-3=7, Resulting Numbers: [7, 7] Generated Node #3: [7, 7] from Operation: 10-3=7 Current State: 49:[7, 7], Operations: ['87/29=3', '10-3=7'] Exploring Operation: 7*7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 7, 21, 80 ]
88
[ "56/7=8", "21*8=168", "168-80=88" ]
Current State: 88:[56, 7, 21, 80], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [21, 80, 8] Generated Node #2: [21, 80, 8] from Operation: 56/7=8 Current State: 88:[21, 80, 8], Operations: ['56/7=8'] Exploring Operation: 21*8=168, Resulting Numbers: [80, 168] Generated Node #3: [80, 168] from Operation: 21*8=168 Current State: 88:[80, 168], Operations: ['56/7=8', '21*8=168'] Exploring Operation: 168-80=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 27, 73, 54, 82 ]
73
[ "27+54=81", "82-81=1", "73*1=73" ]
Current State: 73:[27, 73, 54, 82], Operations: [] Exploring Operation: 27+54=81, Resulting Numbers: [73, 82, 81] Generated Node #2: [73, 82, 81] from Operation: 27+54=81 Current State: 73:[73, 82, 81], Operations: ['27+54=81'] Exploring Operation: 82-81=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 82-81=1 Current State: 73:[73, 1], Operations: ['27+54=81', '82-81=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 51, 14, 92, 92 ]
51
[ "92-92=0", "14*0=0", "51+0=51" ]
Current State: 51:[51, 14, 92, 92], Operations: [] Exploring Operation: 92-92=0, Resulting Numbers: [51, 14, 0] Generated Node #2: [51, 14, 0] from Operation: 92-92=0 Current State: 51:[51, 14, 0], Operations: ['92-92=0'] Exploring Operation: 14*0=0, Resulting Numbers: [51, 0] Generated Node #3: [51, 0] from Operation: 14*0=0 Current State: 51:[51, 0], Operations: ['92-92=0', '14*0=0'] Exploring Operation: 51+0=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 39, 91, 59, 33 ]
78
[ "91-39=52", "59-33=26", "52+26=78" ]
Current State: 78:[39, 91, 59, 33], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [59, 33, 52] Generated Node #2: [59, 33, 52] from Operation: 91-39=52 Current State: 78:[59, 33, 52], Operations: ['91-39=52'] Exploring Operation: 59-33=26, Resulting Numbers: [52, 26] Generated Node #3: [52, 26] from Operation: 59-33=26 Current State: 78:[52, 26], Operations: ['91-39=52', '59-33=26'] Exploring Operation: 52+26=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 98, 25, 5 ]
97
[ "25-20=5", "5/5=1", "98-1=97" ]
Current State: 97:[20, 98, 25, 5], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [98, 5, 5] Generated Node #2: [98, 5, 5] from Operation: 25-20=5 Current State: 97:[98, 5, 5], Operations: ['25-20=5'] Exploring Operation: 5/5=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 5/5=1 Current State: 97:[98, 1], Operations: ['25-20=5', '5/5=1'] Exploring Operation: 98-1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 53, 99, 22, 79 ]
95
[ "53+99=152", "79-22=57", "152-57=95" ]
Current State: 95:[53, 99, 22, 79], Operations: [] Exploring Operation: 53+99=152, Resulting Numbers: [22, 79, 152] Generated Node #2: [22, 79, 152] from Operation: 53+99=152 Current State: 95:[22, 79, 152], Operations: ['53+99=152'] Exploring Operation: 79-22=57, Resulting Numbers: [152, 57] Generated Node #3: [152, 57] from Operation: 79-22=57 Current State: 95:[152, 57], Operations: ['53+99=152', '79-22=57'] Exploring Operation: 152-57=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 84, 4, 27, 35 ]
96
[ "84+4=88", "35-27=8", "88+8=96" ]
Current State: 96:[84, 4, 27, 35], Operations: [] Exploring Operation: 84+4=88, Resulting Numbers: [27, 35, 88] Generated Node #2: [27, 35, 88] from Operation: 84+4=88 Current State: 96:[27, 35, 88], Operations: ['84+4=88'] Exploring Operation: 35-27=8, Resulting Numbers: [88, 8] Generated Node #3: [88, 8] from Operation: 35-27=8 Current State: 96:[88, 8], Operations: ['84+4=88', '35-27=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 11, 88, 89, 80 ]
86
[ "88-11=77", "89-80=9", "77+9=86" ]
Current State: 86:[11, 88, 89, 80], Operations: [] Exploring Operation: 88-11=77, Resulting Numbers: [89, 80, 77] Generated Node #2: [89, 80, 77] from Operation: 88-11=77 Current State: 86:[89, 80, 77], Operations: ['88-11=77'] Exploring Operation: 89-80=9, Resulting Numbers: [77, 9] Generated Node #3: [77, 9] from Operation: 89-80=9 Current State: 86:[77, 9], Operations: ['88-11=77', '89-80=9'] Exploring Operation: 77+9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 75, 90, 3, 7 ]
48
[ "75+90=165", "165/3=55", "55-7=48" ]
Current State: 48:[75, 90, 3, 7], Operations: [] Exploring Operation: 75+90=165, Resulting Numbers: [3, 7, 165] Generated Node #2: [3, 7, 165] from Operation: 75+90=165 Current State: 48:[3, 7, 165], Operations: ['75+90=165'] Exploring Operation: 165/3=55, Resulting Numbers: [7, 55] Generated Node #3: [7, 55] from Operation: 165/3=55 Current State: 48:[7, 55], Operations: ['75+90=165', '165/3=55'] Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 76, 31, 5, 33 ]
46
[ "76+33=109", "31*5=155", "155-109=46" ]
Current State: 46:[76, 31, 5, 33], Operations: [] Exploring Operation: 76+33=109, Resulting Numbers: [31, 5, 109] Generated Node #2: [31, 5, 109] from Operation: 76+33=109 Current State: 46:[31, 5, 109], Operations: ['76+33=109'] Exploring Operation: 31*5=155, Resulting Numbers: [109, 155] Generated Node #3: [109, 155] from Operation: 31*5=155 Current State: 46:[109, 155], Operations: ['76+33=109', '31*5=155'] Exploring Operation: 155-109=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 68, 76, 87, 36 ]
83
[ "68+76=144", "144/36=4", "87-4=83" ]
Current State: 83:[68, 76, 87, 36], Operations: [] Exploring Operation: 68+76=144, Resulting Numbers: [87, 36, 144] Generated Node #2: [87, 36, 144] from Operation: 68+76=144 Current State: 83:[87, 36, 144], Operations: ['68+76=144'] Exploring Operation: 144/36=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 144/36=4 Current State: 83:[87, 4], Operations: ['68+76=144', '144/36=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 74, 26, 9, 46 ]
85
[ "74-26=48", "46-9=37", "48+37=85" ]
Current State: 85:[74, 26, 9, 46], Operations: [] Exploring Operation: 74-26=48, Resulting Numbers: [9, 46, 48] Generated Node #2: [9, 46, 48] from Operation: 74-26=48 Current State: 85:[9, 46, 48], Operations: ['74-26=48'] Exploring Operation: 46-9=37, Resulting Numbers: [48, 37] Generated Node #3: [48, 37] from Operation: 46-9=37 Current State: 85:[48, 37], Operations: ['74-26=48', '46-9=37'] Exploring Operation: 48+37=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 14, 7, 3, 31 ]
77
[ "14*3=42", "42-31=11", "7*11=77" ]
Current State: 77:[14, 7, 3, 31], Operations: [] Exploring Operation: 14*3=42, Resulting Numbers: [7, 31, 42] Generated Node #2: [7, 31, 42] from Operation: 14*3=42 Current State: 77:[7, 31, 42], Operations: ['14*3=42'] Exploring Operation: 42-31=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 42-31=11 Current State: 77:[7, 11], Operations: ['14*3=42', '42-31=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 36, 99, 84, 21 ]
67
[ "99-36=63", "84/21=4", "63+4=67" ]
Current State: 67:[36, 99, 84, 21], Operations: [] Exploring Operation: 99-36=63, Resulting Numbers: [84, 21, 63] Generated Node #2: [84, 21, 63] from Operation: 99-36=63 Current State: 67:[84, 21, 63], Operations: ['99-36=63'] Exploring Operation: 84/21=4, Resulting Numbers: [63, 4] Generated Node #3: [63, 4] from Operation: 84/21=4 Current State: 67:[63, 4], Operations: ['99-36=63', '84/21=4'] Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 50, 9, 40, 25 ]
47
[ "50/25=2", "9+40=49", "49-2=47" ]
Current State: 47:[50, 9, 40, 25], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [9, 40, 2] Generated Node #2: [9, 40, 2] from Operation: 50/25=2 Current State: 47:[9, 40, 2], Operations: ['50/25=2'] Exploring Operation: 9+40=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 9+40=49 Current State: 47:[2, 49], Operations: ['50/25=2', '9+40=49'] Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 42, 39, 2 ]
53
[ "4+42=46", "2*46=92", "92-39=53" ]
Current State: 53:[4, 42, 39, 2], Operations: [] Exploring Operation: 4+42=46, Resulting Numbers: [39, 2, 46] Generated Node #2: [39, 2, 46] from Operation: 4+42=46 Current State: 53:[39, 2, 46], Operations: ['4+42=46'] Exploring Operation: 2*46=92, Resulting Numbers: [39, 92] Generated Node #3: [39, 92] from Operation: 2*46=92 Current State: 53:[39, 92], Operations: ['4+42=46', '2*46=92'] Exploring Operation: 92-39=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 58, 38, 22, 49 ]
82
[ "38*49=1862", "1862-58=1804", "1804/22=82" ]
Current State: 82:[58, 38, 22, 49], Operations: [] Exploring Operation: 38*49=1862, Resulting Numbers: [58, 22, 1862] Generated Node #2: [58, 22, 1862] from Operation: 38*49=1862 Current State: 82:[58, 22, 1862], Operations: ['38*49=1862'] Exploring Operation: 1862-58=1804, Resulting Numbers: [22, 1804] Generated Node #3: [22, 1804] from Operation: 1862-58=1804 Current State: 82:[22, 1804], Operations: ['38*49=1862', '1862-58=1804'] Exploring Operation: 1804/22=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 20, 38, 11, 61 ]
54
[ "38-20=18", "11+61=72", "72-18=54" ]
Current State: 54:[20, 38, 11, 61], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [11, 61, 18] Generated Node #2: [11, 61, 18] from Operation: 38-20=18 Current State: 54:[11, 61, 18], Operations: ['38-20=18'] Exploring Operation: 11+61=72, Resulting Numbers: [18, 72] Generated Node #3: [18, 72] from Operation: 11+61=72 Current State: 54:[18, 72], Operations: ['38-20=18', '11+61=72'] Exploring Operation: 72-18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 14, 51, 2, 76 ]
40
[ "76-14=62", "51*2=102", "102-62=40" ]
Current State: 40:[14, 51, 2, 76], Operations: [] Exploring Operation: 76-14=62, Resulting Numbers: [51, 2, 62] Generated Node #2: [51, 2, 62] from Operation: 76-14=62 Current State: 40:[51, 2, 62], Operations: ['76-14=62'] Exploring Operation: 51*2=102, Resulting Numbers: [62, 102] Generated Node #3: [62, 102] from Operation: 51*2=102 Current State: 40:[62, 102], Operations: ['76-14=62', '51*2=102'] Exploring Operation: 102-62=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 29, 18, 10, 8 ]
76
[ "10-8=2", "29*2=58", "18+58=76" ]
Current State: 76:[29, 18, 10, 8], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [29, 18, 2] Generated Node #2: [29, 18, 2] from Operation: 10-8=2 Current State: 76:[29, 18, 2], Operations: ['10-8=2'] Exploring Operation: 29*2=58, Resulting Numbers: [18, 58] Generated Node #3: [18, 58] from Operation: 29*2=58 Current State: 76:[18, 58], Operations: ['10-8=2', '29*2=58'] Exploring Operation: 18+58=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 13, 44, 66 ]
64
[ "66/2=33", "44-13=31", "33+31=64" ]
Current State: 64:[2, 13, 44, 66], Operations: [] Exploring Operation: 66/2=33, Resulting Numbers: [13, 44, 33] Generated Node #2: [13, 44, 33] from Operation: 66/2=33 Current State: 64:[13, 44, 33], Operations: ['66/2=33'] Exploring Operation: 44-13=31, Resulting Numbers: [33, 31] Generated Node #3: [33, 31] from Operation: 44-13=31 Current State: 64:[33, 31], Operations: ['66/2=33', '44-13=31'] Exploring Operation: 33+31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 62, 78, 3, 96 ]
47
[ "62+78=140", "96-3=93", "140-93=47" ]
Current State: 47:[62, 78, 3, 96], Operations: [] Exploring Operation: 62+78=140, Resulting Numbers: [3, 96, 140] Generated Node #2: [3, 96, 140] from Operation: 62+78=140 Current State: 47:[3, 96, 140], Operations: ['62+78=140'] Exploring Operation: 96-3=93, Resulting Numbers: [140, 93] Generated Node #3: [140, 93] from Operation: 96-3=93 Current State: 47:[140, 93], Operations: ['62+78=140', '96-3=93'] Exploring Operation: 140-93=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 95, 6, 14, 46 ]
97
[ "46-14=32", "6*32=192", "192-95=97" ]
Current State: 97:[95, 6, 14, 46], Operations: [] Exploring Operation: 46-14=32, Resulting Numbers: [95, 6, 32] Generated Node #2: [95, 6, 32] from Operation: 46-14=32 Current State: 97:[95, 6, 32], Operations: ['46-14=32'] Exploring Operation: 6*32=192, Resulting Numbers: [95, 192] Generated Node #3: [95, 192] from Operation: 6*32=192 Current State: 97:[95, 192], Operations: ['46-14=32', '6*32=192'] Exploring Operation: 192-95=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 69, 89, 68, 65 ]
23
[ "89-69=20", "68-65=3", "20+3=23" ]
Current State: 23:[69, 89, 68, 65], Operations: [] Exploring Operation: 89-69=20, Resulting Numbers: [68, 65, 20] Generated Node #2: [68, 65, 20] from Operation: 89-69=20 Current State: 23:[68, 65, 20], Operations: ['89-69=20'] Exploring Operation: 68-65=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 68-65=3 Current State: 23:[20, 3], Operations: ['89-69=20', '68-65=3'] Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 96, 83, 65, 67 ]
47
[ "96+83=179", "65+67=132", "179-132=47" ]
Current State: 47:[96, 83, 65, 67], Operations: [] Exploring Operation: 96+83=179, Resulting Numbers: [65, 67, 179] Generated Node #2: [65, 67, 179] from Operation: 96+83=179 Current State: 47:[65, 67, 179], Operations: ['96+83=179'] Exploring Operation: 65+67=132, Resulting Numbers: [179, 132] Generated Node #3: [179, 132] from Operation: 65+67=132 Current State: 47:[179, 132], Operations: ['96+83=179', '65+67=132'] Exploring Operation: 179-132=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 1, 30, 20, 2 ]
20
[ "1*30=30", "20/2=10", "30-10=20" ]
Current State: 20:[1, 30, 20, 2], Operations: [] Exploring Operation: 1*30=30, Resulting Numbers: [20, 2, 30] Generated Node #2: [20, 2, 30] from Operation: 1*30=30 Current State: 20:[20, 2, 30], Operations: ['1*30=30'] Exploring Operation: 20/2=10, Resulting Numbers: [30, 10] Generated Node #3: [30, 10] from Operation: 20/2=10 Current State: 20:[30, 10], Operations: ['1*30=30', '20/2=10'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 73, 74, 38 ]
83
[ "73-26=47", "74-38=36", "47+36=83" ]
Current State: 83:[26, 73, 74, 38], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [74, 38, 47] Generated Node #2: [74, 38, 47] from Operation: 73-26=47 Current State: 83:[74, 38, 47], Operations: ['73-26=47'] Exploring Operation: 74-38=36, Resulting Numbers: [47, 36] Generated Node #3: [47, 36] from Operation: 74-38=36 Current State: 83:[47, 36], Operations: ['73-26=47', '74-38=36'] Exploring Operation: 47+36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 50, 20, 47, 47 ]
50
[ "47-47=0", "20*0=0", "50+0=50" ]
Current State: 50:[50, 20, 47, 47], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [50, 20, 0] Generated Node #2: [50, 20, 0] from Operation: 47-47=0 Current State: 50:[50, 20, 0], Operations: ['47-47=0'] Exploring Operation: 20*0=0, Resulting Numbers: [50, 0] Generated Node #3: [50, 0] from Operation: 20*0=0 Current State: 50:[50, 0], Operations: ['47-47=0', '20*0=0'] Exploring Operation: 50+0=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 35, 4, 71, 97 ]
88
[ "71-35=36", "36/4=9", "97-9=88" ]
Current State: 88:[35, 4, 71, 97], Operations: [] Exploring Operation: 71-35=36, Resulting Numbers: [4, 97, 36] Generated Node #2: [4, 97, 36] from Operation: 71-35=36 Current State: 88:[4, 97, 36], Operations: ['71-35=36'] Exploring Operation: 36/4=9, Resulting Numbers: [97, 9] Generated Node #3: [97, 9] from Operation: 36/4=9 Current State: 88:[97, 9], Operations: ['71-35=36', '36/4=9'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 84, 89, 63, 13 ]
97
[ "84+89=173", "63+13=76", "173-76=97" ]
Current State: 97:[84, 89, 63, 13], Operations: [] Exploring Operation: 84+89=173, Resulting Numbers: [63, 13, 173] Generated Node #2: [63, 13, 173] from Operation: 84+89=173 Current State: 97:[63, 13, 173], Operations: ['84+89=173'] Exploring Operation: 63+13=76, Resulting Numbers: [173, 76] Generated Node #3: [173, 76] from Operation: 63+13=76 Current State: 97:[173, 76], Operations: ['84+89=173', '63+13=76'] Exploring Operation: 173-76=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 74, 79, 15, 34 ]
71
[ "79-34=45", "45/15=3", "74-3=71" ]
Current State: 71:[74, 79, 15, 34], Operations: [] Exploring Operation: 79-34=45, Resulting Numbers: [74, 15, 45] Generated Node #2: [74, 15, 45] from Operation: 79-34=45 Current State: 71:[74, 15, 45], Operations: ['79-34=45'] Exploring Operation: 45/15=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 45/15=3 Current State: 71:[74, 3], Operations: ['79-34=45', '45/15=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 71, 63, 58, 47 ]
97
[ "71-63=8", "58+47=105", "105-8=97" ]
Current State: 97:[71, 63, 58, 47], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [58, 47, 8] Generated Node #2: [58, 47, 8] from Operation: 71-63=8 Current State: 97:[58, 47, 8], Operations: ['71-63=8'] Exploring Operation: 58+47=105, Resulting Numbers: [8, 105] Generated Node #3: [8, 105] from Operation: 58+47=105 Current State: 97:[8, 105], Operations: ['71-63=8', '58+47=105'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 99, 12, 45, 15 ]
38
[ "99-15=84", "84/12=7", "45-7=38" ]
Current State: 38:[99, 12, 45, 15], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [12, 45, 84] Generated Node #2: [12, 45, 84] from Operation: 99-15=84 Current State: 38:[12, 45, 84], Operations: ['99-15=84'] Exploring Operation: 84/12=7, Resulting Numbers: [45, 7] Generated Node #3: [45, 7] from Operation: 84/12=7 Current State: 38:[45, 7], Operations: ['99-15=84', '84/12=7'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 13, 22, 70, 57 ]
59
[ "13+22=35", "70/35=2", "57+2=59" ]
Current State: 59:[13, 22, 70, 57], Operations: [] Exploring Operation: 13+22=35, Resulting Numbers: [70, 57, 35] Generated Node #2: [70, 57, 35] from Operation: 13+22=35 Current State: 59:[70, 57, 35], Operations: ['13+22=35'] Exploring Operation: 70/35=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 70/35=2 Current State: 59:[57, 2], Operations: ['13+22=35', '70/35=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 72, 86, 43, 3 ]
67
[ "72+86=158", "43+158=201", "201/3=67" ]
Current State: 67:[72, 86, 43, 3], Operations: [] Exploring Operation: 72+86=158, Resulting Numbers: [43, 3, 158] Generated Node #2: [43, 3, 158] from Operation: 72+86=158 Current State: 67:[43, 3, 158], Operations: ['72+86=158'] Exploring Operation: 43+158=201, Resulting Numbers: [3, 201] Generated Node #3: [3, 201] from Operation: 43+158=201 Current State: 67:[3, 201], Operations: ['72+86=158', '43+158=201'] Exploring Operation: 201/3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 97, 5, 97 ]
16
[ "3*5=15", "97/97=1", "15+1=16" ]
Current State: 16:[3, 97, 5, 97], Operations: [] Exploring Operation: 3*5=15, Resulting Numbers: [97, 97, 15] Generated Node #2: [97, 97, 15] from Operation: 3*5=15 Current State: 16:[97, 97, 15], Operations: ['3*5=15'] Exploring Operation: 97/97=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 97/97=1 Current State: 16:[15, 1], Operations: ['3*5=15', '97/97=1'] Exploring Operation: 15+1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 90, 58, 25, 2 ]
39
[ "90-58=32", "2*32=64", "64-25=39" ]
Current State: 39:[90, 58, 25, 2], Operations: [] Exploring Operation: 90-58=32, Resulting Numbers: [25, 2, 32] Generated Node #2: [25, 2, 32] from Operation: 90-58=32 Current State: 39:[25, 2, 32], Operations: ['90-58=32'] Exploring Operation: 2*32=64, Resulting Numbers: [25, 64] Generated Node #3: [25, 64] from Operation: 2*32=64 Current State: 39:[25, 64], Operations: ['90-58=32', '2*32=64'] Exploring Operation: 64-25=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 19, 4, 87, 86 ]
57
[ "87-4=83", "86-83=3", "19*3=57" ]
Current State: 57:[19, 4, 87, 86], Operations: [] Exploring Operation: 87-4=83, Resulting Numbers: [19, 86, 83] Generated Node #2: [19, 86, 83] from Operation: 87-4=83 Current State: 57:[19, 86, 83], Operations: ['87-4=83'] Exploring Operation: 86-83=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 86-83=3 Current State: 57:[19, 3], Operations: ['87-4=83', '86-83=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 7, 21, 5, 37 ]
42
[ "7*5=35", "37-35=2", "21*2=42" ]
Current State: 42:[7, 21, 5, 37], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [21, 37, 35] Generated Node #2: [21, 37, 35] from Operation: 7*5=35 Current State: 42:[21, 37, 35], Operations: ['7*5=35'] Exploring Operation: 37-35=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 37-35=2 Current State: 42:[21, 2], Operations: ['7*5=35', '37-35=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 63, 70, 47 ]
70
[ "57-47=10", "70-63=7", "10*7=70" ]
Current State: 70:[57, 63, 70, 47], Operations: [] Exploring Operation: 57-47=10, Resulting Numbers: [63, 70, 10] Generated Node #2: [63, 70, 10] from Operation: 57-47=10 Current State: 70:[63, 70, 10], Operations: ['57-47=10'] Exploring Operation: 70-63=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 70-63=7 Current State: 70:[10, 7], Operations: ['57-47=10', '70-63=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 65, 2, 62, 84 ]
100
[ "84-65=19", "2*19=38", "62+38=100" ]
Current State: 100:[65, 2, 62, 84], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [2, 62, 19] Generated Node #2: [2, 62, 19] from Operation: 84-65=19 Current State: 100:[2, 62, 19], Operations: ['84-65=19'] Exploring Operation: 2*19=38, Resulting Numbers: [62, 38] Generated Node #3: [62, 38] from Operation: 2*19=38 Current State: 100:[62, 38], Operations: ['84-65=19', '2*19=38'] Exploring Operation: 62+38=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4