Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 21, 73, 42, 82 ]
98
[ "21*42=882", "82-73=9", "882/9=98" ]
Current State: 98:[21, 73, 42, 82], Operations: [] Exploring Operation: 21*42=882, Resulting Numbers: [73, 82, 882] Generated Node #2: [73, 82, 882] from Operation: 21*42=882 Current State: 98:[73, 82, 882], Operations: ['21*42=882'] Exploring Operation: 82-73=9, Resulting Numbers: [882, 9] Generated Node #3: [882, 9] from Operation: 82-73=9 Current State: 98:[882, 9], Operations: ['21*42=882', '82-73=9'] Exploring Operation: 882/9=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 35, 56, 84, 30 ]
37
[ "35+56=91", "84-30=54", "91-54=37" ]
Current State: 37:[35, 56, 84, 30], Operations: [] Exploring Operation: 35+56=91, Resulting Numbers: [84, 30, 91] Generated Node #2: [84, 30, 91] from Operation: 35+56=91 Current State: 37:[84, 30, 91], Operations: ['35+56=91'] Exploring Operation: 84-30=54, Resulting Numbers: [91, 54] Generated Node #3: [91, 54] from Operation: 84-30=54 Current State: 37:[91, 54], Operations: ['35+56=91', '84-30=54'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 12, 2, 48, 32 ]
38
[ "48/12=4", "2+32=34", "4+34=38" ]
Current State: 38:[12, 2, 48, 32], Operations: [] Exploring Operation: 48/12=4, Resulting Numbers: [2, 32, 4] Generated Node #2: [2, 32, 4] from Operation: 48/12=4 Current State: 38:[2, 32, 4], Operations: ['48/12=4'] Exploring Operation: 2+32=34, Resulting Numbers: [4, 34] Generated Node #3: [4, 34] from Operation: 2+32=34 Current State: 38:[4, 34], Operations: ['48/12=4', '2+32=34'] Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 26, 8, 2, 45 ]
76
[ "45-26=19", "8/2=4", "19*4=76" ]
Current State: 76:[26, 8, 2, 45], Operations: [] Exploring Operation: 45-26=19, Resulting Numbers: [8, 2, 19] Generated Node #2: [8, 2, 19] from Operation: 45-26=19 Current State: 76:[8, 2, 19], Operations: ['45-26=19'] Exploring Operation: 8/2=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 8/2=4 Current State: 76:[19, 4], Operations: ['45-26=19', '8/2=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 63, 24, 49 ]
97
[ "9+63=72", "49-24=25", "72+25=97" ]
Current State: 97:[9, 63, 24, 49], Operations: [] Exploring Operation: 9+63=72, Resulting Numbers: [24, 49, 72] Generated Node #2: [24, 49, 72] from Operation: 9+63=72 Current State: 97:[24, 49, 72], Operations: ['9+63=72'] Exploring Operation: 49-24=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 49-24=25 Current State: 97:[72, 25], Operations: ['9+63=72', '49-24=25'] Exploring Operation: 72+25=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 95, 54, 21, 8 ]
70
[ "95-54=41", "21+8=29", "41+29=70" ]
Current State: 70:[95, 54, 21, 8], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [21, 8, 41] Generated Node #2: [21, 8, 41] from Operation: 95-54=41 Current State: 70:[21, 8, 41], Operations: ['95-54=41'] Exploring Operation: 21+8=29, Resulting Numbers: [41, 29] Generated Node #3: [41, 29] from Operation: 21+8=29 Current State: 70:[41, 29], Operations: ['95-54=41', '21+8=29'] Exploring Operation: 41+29=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 6, 78, 38 ]
74
[ "40-6=34", "78-38=40", "34+40=74" ]
Current State: 74:[40, 6, 78, 38], Operations: [] Exploring Operation: 40-6=34, Resulting Numbers: [78, 38, 34] Generated Node #2: [78, 38, 34] from Operation: 40-6=34 Current State: 74:[78, 38, 34], Operations: ['40-6=34'] Exploring Operation: 78-38=40, Resulting Numbers: [34, 40] Generated Node #3: [34, 40] from Operation: 78-38=40 Current State: 74:[34, 40], Operations: ['40-6=34', '78-38=40'] Exploring Operation: 34+40=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 96, 21, 94, 87 ]
54
[ "96-94=2", "21+87=108", "108/2=54" ]
Current State: 54:[96, 21, 94, 87], Operations: [] Exploring Operation: 96-94=2, Resulting Numbers: [21, 87, 2] Generated Node #2: [21, 87, 2] from Operation: 96-94=2 Current State: 54:[21, 87, 2], Operations: ['96-94=2'] Exploring Operation: 21+87=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 21+87=108 Current State: 54:[2, 108], Operations: ['96-94=2', '21+87=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 74, 40, 5, 75 ]
76
[ "5+75=80", "80/40=2", "74+2=76" ]
Current State: 76:[74, 40, 5, 75], Operations: [] Exploring Operation: 5+75=80, Resulting Numbers: [74, 40, 80] Generated Node #2: [74, 40, 80] from Operation: 5+75=80 Current State: 76:[74, 40, 80], Operations: ['5+75=80'] Exploring Operation: 80/40=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 80/40=2 Current State: 76:[74, 2], Operations: ['5+75=80', '80/40=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 68, 78, 89, 23 ]
76
[ "78-68=10", "89-23=66", "10+66=76" ]
Current State: 76:[68, 78, 89, 23], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [89, 23, 10] Generated Node #2: [89, 23, 10] from Operation: 78-68=10 Current State: 76:[89, 23, 10], Operations: ['78-68=10'] Exploring Operation: 89-23=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operation: 89-23=66 Current State: 76:[10, 66], Operations: ['78-68=10', '89-23=66'] Exploring Operation: 10+66=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 65, 95, 49, 62 ]
52
[ "65-62=3", "49*3=147", "147-95=52" ]
Current State: 52:[65, 95, 49, 62], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [95, 49, 3] Generated Node #2: [95, 49, 3] from Operation: 65-62=3 Current State: 52:[95, 49, 3], Operations: ['65-62=3'] Exploring Operation: 49*3=147, Resulting Numbers: [95, 147] Generated Node #3: [95, 147] from Operation: 49*3=147 Current State: 52:[95, 147], Operations: ['65-62=3', '49*3=147'] Exploring Operation: 147-95=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 39, 32, 21 ]
15
[ "5*21=105", "39-32=7", "105/7=15" ]
Current State: 15:[5, 39, 32, 21], Operations: [] Exploring Operation: 5*21=105, Resulting Numbers: [39, 32, 105] Generated Node #2: [39, 32, 105] from Operation: 5*21=105 Current State: 15:[39, 32, 105], Operations: ['5*21=105'] Exploring Operation: 39-32=7, Resulting Numbers: [105, 7] Generated Node #3: [105, 7] from Operation: 39-32=7 Current State: 15:[105, 7], Operations: ['5*21=105', '39-32=7'] Exploring Operation: 105/7=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 25, 4, 35, 40 ]
96
[ "25-4=21", "35+40=75", "21+75=96" ]
Current State: 96:[25, 4, 35, 40], Operations: [] Exploring Operation: 25-4=21, Resulting Numbers: [35, 40, 21] Generated Node #2: [35, 40, 21] from Operation: 25-4=21 Current State: 96:[35, 40, 21], Operations: ['25-4=21'] Exploring Operation: 35+40=75, Resulting Numbers: [21, 75] Generated Node #3: [21, 75] from Operation: 35+40=75 Current State: 96:[21, 75], Operations: ['25-4=21', '35+40=75'] Exploring Operation: 21+75=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 13, 38, 46, 2 ]
88
[ "13-2=11", "46-38=8", "11*8=88" ]
Current State: 88:[13, 38, 46, 2], Operations: [] Exploring Operation: 13-2=11, Resulting Numbers: [38, 46, 11] Generated Node #2: [38, 46, 11] from Operation: 13-2=11 Current State: 88:[38, 46, 11], Operations: ['13-2=11'] Exploring Operation: 46-38=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 46-38=8 Current State: 88:[11, 8], Operations: ['13-2=11', '46-38=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 11, 10, 16 ]
73
[ "16-11=5", "10*5=50", "23+50=73" ]
Current State: 73:[23, 11, 10, 16], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [23, 10, 5] Generated Node #2: [23, 10, 5] from Operation: 16-11=5 Current State: 73:[23, 10, 5], Operations: ['16-11=5'] Exploring Operation: 10*5=50, Resulting Numbers: [23, 50] Generated Node #3: [23, 50] from Operation: 10*5=50 Current State: 73:[23, 50], Operations: ['16-11=5', '10*5=50'] Exploring Operation: 23+50=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 63, 54, 57, 38 ]
12
[ "63*38=2394", "2394/57=42", "54-42=12" ]
Current State: 12:[63, 54, 57, 38], Operations: [] Exploring Operation: 63*38=2394, Resulting Numbers: [54, 57, 2394] Generated Node #2: [54, 57, 2394] from Operation: 63*38=2394 Current State: 12:[54, 57, 2394], Operations: ['63*38=2394'] Exploring Operation: 2394/57=42, Resulting Numbers: [54, 42] Generated Node #3: [54, 42] from Operation: 2394/57=42 Current State: 12:[54, 42], Operations: ['63*38=2394', '2394/57=42'] Exploring Operation: 54-42=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 60, 21, 43 ]
73
[ "35+60=95", "43-21=22", "95-22=73" ]
Current State: 73:[35, 60, 21, 43], Operations: [] Exploring Operation: 35+60=95, Resulting Numbers: [21, 43, 95] Generated Node #2: [21, 43, 95] from Operation: 35+60=95 Current State: 73:[21, 43, 95], Operations: ['35+60=95'] Exploring Operation: 43-21=22, Resulting Numbers: [95, 22] Generated Node #3: [95, 22] from Operation: 43-21=22 Current State: 73:[95, 22], Operations: ['35+60=95', '43-21=22'] Exploring Operation: 95-22=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 28, 47, 72 ]
43
[ "47/47=1", "72-28=44", "44-1=43" ]
Current State: 43:[47, 28, 47, 72], Operations: [] Exploring Operation: 47/47=1, Resulting Numbers: [28, 72, 1] Generated Node #2: [28, 72, 1] from Operation: 47/47=1 Current State: 43:[28, 72, 1], Operations: ['47/47=1'] Exploring Operation: 72-28=44, Resulting Numbers: [1, 44] Generated Node #3: [1, 44] from Operation: 72-28=44 Current State: 43:[1, 44], Operations: ['47/47=1', '72-28=44'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 80, 69, 71 ]
97
[ "71-69=2", "80*2=160", "160-63=97" ]
Current State: 97:[63, 80, 69, 71], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [63, 80, 2] Generated Node #2: [63, 80, 2] from Operation: 71-69=2 Current State: 97:[63, 80, 2], Operations: ['71-69=2'] Exploring Operation: 80*2=160, Resulting Numbers: [63, 160] Generated Node #3: [63, 160] from Operation: 80*2=160 Current State: 97:[63, 160], Operations: ['71-69=2', '80*2=160'] Exploring Operation: 160-63=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 75, 21, 88, 23 ]
62
[ "23-21=2", "75*2=150", "150-88=62" ]
Current State: 62:[75, 21, 88, 23], Operations: [] Exploring Operation: 23-21=2, Resulting Numbers: [75, 88, 2] Generated Node #2: [75, 88, 2] from Operation: 23-21=2 Current State: 62:[75, 88, 2], Operations: ['23-21=2'] Exploring Operation: 75*2=150, Resulting Numbers: [88, 150] Generated Node #3: [88, 150] from Operation: 75*2=150 Current State: 62:[88, 150], Operations: ['23-21=2', '75*2=150'] Exploring Operation: 150-88=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 4, 63, 54, 80 ]
75
[ "63-4=59", "54+80=134", "134-59=75" ]
Current State: 75:[4, 63, 54, 80], Operations: [] Exploring Operation: 63-4=59, Resulting Numbers: [54, 80, 59] Generated Node #2: [54, 80, 59] from Operation: 63-4=59 Current State: 75:[54, 80, 59], Operations: ['63-4=59'] Exploring Operation: 54+80=134, Resulting Numbers: [59, 134] Generated Node #3: [59, 134] from Operation: 54+80=134 Current State: 75:[59, 134], Operations: ['63-4=59', '54+80=134'] Exploring Operation: 134-59=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 56, 46, 14 ]
67
[ "56/8=7", "46+14=60", "7+60=67" ]
Current State: 67:[8, 56, 46, 14], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [46, 14, 7] Generated Node #2: [46, 14, 7] from Operation: 56/8=7 Current State: 67:[46, 14, 7], Operations: ['56/8=7'] Exploring Operation: 46+14=60, Resulting Numbers: [7, 60] Generated Node #3: [7, 60] from Operation: 46+14=60 Current State: 67:[7, 60], Operations: ['56/8=7', '46+14=60'] Exploring Operation: 7+60=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 47, 45, 95, 11 ]
76
[ "47-11=36", "95*36=3420", "3420/45=76" ]
Current State: 76:[47, 45, 95, 11], Operations: [] Exploring Operation: 47-11=36, Resulting Numbers: [45, 95, 36] Generated Node #2: [45, 95, 36] from Operation: 47-11=36 Current State: 76:[45, 95, 36], Operations: ['47-11=36'] Exploring Operation: 95*36=3420, Resulting Numbers: [45, 3420] Generated Node #3: [45, 3420] from Operation: 95*36=3420 Current State: 76:[45, 3420], Operations: ['47-11=36', '95*36=3420'] Exploring Operation: 3420/45=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 70, 75, 36, 2 ]
33
[ "75-70=5", "36+2=38", "38-5=33" ]
Current State: 33:[70, 75, 36, 2], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [36, 2, 5] Generated Node #2: [36, 2, 5] from Operation: 75-70=5 Current State: 33:[36, 2, 5], Operations: ['75-70=5'] Exploring Operation: 36+2=38, Resulting Numbers: [5, 38] Generated Node #3: [5, 38] from Operation: 36+2=38 Current State: 33:[5, 38], Operations: ['75-70=5', '36+2=38'] Exploring Operation: 38-5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 54, 1, 49 ]
85
[ "54-18=36", "1*49=49", "36+49=85" ]
Current State: 85:[18, 54, 1, 49], Operations: [] Exploring Operation: 54-18=36, Resulting Numbers: [1, 49, 36] Generated Node #2: [1, 49, 36] from Operation: 54-18=36 Current State: 85:[1, 49, 36], Operations: ['54-18=36'] Exploring Operation: 1*49=49, Resulting Numbers: [36, 49] Generated Node #3: [36, 49] from Operation: 1*49=49 Current State: 85:[36, 49], Operations: ['54-18=36', '1*49=49'] Exploring Operation: 36+49=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 27, 20, 4, 48 ]
85
[ "48-20=28", "4*28=112", "112-27=85" ]
Current State: 85:[27, 20, 4, 48], Operations: [] Exploring Operation: 48-20=28, Resulting Numbers: [27, 4, 28] Generated Node #2: [27, 4, 28] from Operation: 48-20=28 Current State: 85:[27, 4, 28], Operations: ['48-20=28'] Exploring Operation: 4*28=112, Resulting Numbers: [27, 112] Generated Node #3: [27, 112] from Operation: 4*28=112 Current State: 85:[27, 112], Operations: ['48-20=28', '4*28=112'] Exploring Operation: 112-27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 47, 1, 94 ]
22
[ "94/47=2", "2-1=1", "22*1=22" ]
Current State: 22:[22, 47, 1, 94], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [22, 1, 2] Generated Node #2: [22, 1, 2] from Operation: 94/47=2 Current State: 22:[22, 1, 2], Operations: ['94/47=2'] Exploring Operation: 2-1=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 2-1=1 Current State: 22:[22, 1], Operations: ['94/47=2', '2-1=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 40, 96, 23 ]
85
[ "45*96=4320", "4320/40=108", "108-23=85" ]
Current State: 85:[45, 40, 96, 23], Operations: [] Exploring Operation: 45*96=4320, Resulting Numbers: [40, 23, 4320] Generated Node #2: [40, 23, 4320] from Operation: 45*96=4320 Current State: 85:[40, 23, 4320], Operations: ['45*96=4320'] Exploring Operation: 4320/40=108, Resulting Numbers: [23, 108] Generated Node #3: [23, 108] from Operation: 4320/40=108 Current State: 85:[23, 108], Operations: ['45*96=4320', '4320/40=108'] Exploring Operation: 108-23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 78, 77, 62, 32 ]
61
[ "78+77=155", "62+32=94", "155-94=61" ]
Current State: 61:[78, 77, 62, 32], Operations: [] Exploring Operation: 78+77=155, Resulting Numbers: [62, 32, 155] Generated Node #2: [62, 32, 155] from Operation: 78+77=155 Current State: 61:[62, 32, 155], Operations: ['78+77=155'] Exploring Operation: 62+32=94, Resulting Numbers: [155, 94] Generated Node #3: [155, 94] from Operation: 62+32=94 Current State: 61:[155, 94], Operations: ['78+77=155', '62+32=94'] Exploring Operation: 155-94=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 78, 14, 60 ]
60
[ "92-78=14", "14+60=74", "74-14=60" ]
Current State: 60:[92, 78, 14, 60], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [14, 60, 14] Generated Node #2: [14, 60, 14] from Operation: 92-78=14 Current State: 60:[14, 60, 14], Operations: ['92-78=14'] Exploring Operation: 14+60=74, Resulting Numbers: [74] 74,60 equal: Goal Reached Exploring Operation: 74-14=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 62, 94, 92, 96 ]
65
[ "94-92=2", "62/2=31", "96-31=65" ]
Current State: 65:[62, 94, 92, 96], Operations: [] Exploring Operation: 94-92=2, Resulting Numbers: [62, 96, 2] Generated Node #2: [62, 96, 2] from Operation: 94-92=2 Current State: 65:[62, 96, 2], Operations: ['94-92=2'] Exploring Operation: 62/2=31, Resulting Numbers: [96, 31] Generated Node #3: [96, 31] from Operation: 62/2=31 Current State: 65:[96, 31], Operations: ['94-92=2', '62/2=31'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 23, 6, 92, 54 ]
15
[ "92/23=4", "6+54=60", "60/4=15" ]
Current State: 15:[23, 6, 92, 54], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [6, 54, 4] Generated Node #2: [6, 54, 4] from Operation: 92/23=4 Current State: 15:[6, 54, 4], Operations: ['92/23=4'] Exploring Operation: 6+54=60, Resulting Numbers: [4, 60] Generated Node #3: [4, 60] from Operation: 6+54=60 Current State: 15:[4, 60], Operations: ['92/23=4', '6+54=60'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 22, 15, 41, 39 ]
26
[ "41-39=2", "22/2=11", "15+11=26" ]
Current State: 26:[22, 15, 41, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [22, 15, 2] Generated Node #2: [22, 15, 2] from Operation: 41-39=2 Current State: 26:[22, 15, 2], Operations: ['41-39=2'] Exploring Operation: 22/2=11, Resulting Numbers: [15, 11] Generated Node #3: [15, 11] from Operation: 22/2=11 Current State: 26:[15, 11], Operations: ['41-39=2', '22/2=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 89, 5, 66, 15 ]
100
[ "89-66=23", "5*23=115", "115-15=100" ]
Current State: 100:[89, 5, 66, 15], Operations: [] Exploring Operation: 89-66=23, Resulting Numbers: [5, 15, 23] Generated Node #2: [5, 15, 23] from Operation: 89-66=23 Current State: 100:[5, 15, 23], Operations: ['89-66=23'] Exploring Operation: 5*23=115, Resulting Numbers: [15, 115] Generated Node #3: [15, 115] from Operation: 5*23=115 Current State: 100:[15, 115], Operations: ['89-66=23', '5*23=115'] Exploring Operation: 115-15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 92, 8, 80, 44 ]
97
[ "92+44=136", "136/8=17", "80+17=97" ]
Current State: 97:[92, 8, 80, 44], Operations: [] Exploring Operation: 92+44=136, Resulting Numbers: [8, 80, 136] Generated Node #2: [8, 80, 136] from Operation: 92+44=136 Current State: 97:[8, 80, 136], Operations: ['92+44=136'] Exploring Operation: 136/8=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 136/8=17 Current State: 97:[80, 17], Operations: ['92+44=136', '136/8=17'] Exploring Operation: 80+17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 57, 5, 83, 3 ]
93
[ "57-5=52", "83-52=31", "3*31=93" ]
Current State: 93:[57, 5, 83, 3], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [83, 3, 52] Generated Node #2: [83, 3, 52] from Operation: 57-5=52 Current State: 93:[83, 3, 52], Operations: ['57-5=52'] Exploring Operation: 83-52=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 83-52=31 Current State: 93:[3, 31], Operations: ['57-5=52', '83-52=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 87, 5, 3, 95 ]
19
[ "95-87=8", "3*8=24", "24-5=19" ]
Current State: 19:[87, 5, 3, 95], Operations: [] Exploring Operation: 95-87=8, Resulting Numbers: [5, 3, 8] Generated Node #2: [5, 3, 8] from Operation: 95-87=8 Current State: 19:[5, 3, 8], Operations: ['95-87=8'] Exploring Operation: 3*8=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 3*8=24 Current State: 19:[5, 24], Operations: ['95-87=8', '3*8=24'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 50, 28, 68 ]
34
[ "12+50=62", "28+68=96", "96-62=34" ]
Current State: 34:[12, 50, 28, 68], Operations: [] Exploring Operation: 12+50=62, Resulting Numbers: [28, 68, 62] Generated Node #2: [28, 68, 62] from Operation: 12+50=62 Current State: 34:[28, 68, 62], Operations: ['12+50=62'] Exploring Operation: 28+68=96, Resulting Numbers: [62, 96] Generated Node #3: [62, 96] from Operation: 28+68=96 Current State: 34:[62, 96], Operations: ['12+50=62', '28+68=96'] Exploring Operation: 96-62=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 15, 84, 38, 4 ]
57
[ "15+84=99", "38+4=42", "99-42=57" ]
Current State: 57:[15, 84, 38, 4], Operations: [] Exploring Operation: 15+84=99, Resulting Numbers: [38, 4, 99] Generated Node #2: [38, 4, 99] from Operation: 15+84=99 Current State: 57:[38, 4, 99], Operations: ['15+84=99'] Exploring Operation: 38+4=42, Resulting Numbers: [99, 42] Generated Node #3: [99, 42] from Operation: 38+4=42 Current State: 57:[99, 42], Operations: ['15+84=99', '38+4=42'] Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 89, 80, 49, 48 ]
88
[ "89-80=9", "49+48=97", "97-9=88" ]
Current State: 88:[89, 80, 49, 48], Operations: [] Exploring Operation: 89-80=9, Resulting Numbers: [49, 48, 9] Generated Node #2: [49, 48, 9] from Operation: 89-80=9 Current State: 88:[49, 48, 9], Operations: ['89-80=9'] Exploring Operation: 49+48=97, Resulting Numbers: [9, 97] Generated Node #3: [9, 97] from Operation: 49+48=97 Current State: 88:[9, 97], Operations: ['89-80=9', '49+48=97'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 37, 52, 74, 9 ]
86
[ "74/37=2", "52-9=43", "2*43=86" ]
Current State: 86:[37, 52, 74, 9], Operations: [] Exploring Operation: 74/37=2, Resulting Numbers: [52, 9, 2] Generated Node #2: [52, 9, 2] from Operation: 74/37=2 Current State: 86:[52, 9, 2], Operations: ['74/37=2'] Exploring Operation: 52-9=43, Resulting Numbers: [2, 43] Generated Node #3: [2, 43] from Operation: 52-9=43 Current State: 86:[2, 43], Operations: ['74/37=2', '52-9=43'] Exploring Operation: 2*43=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 25, 87, 57, 78 ]
83
[ "87-25=62", "78-57=21", "62+21=83" ]
Current State: 83:[25, 87, 57, 78], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [57, 78, 62] Generated Node #2: [57, 78, 62] from Operation: 87-25=62 Current State: 83:[57, 78, 62], Operations: ['87-25=62'] Exploring Operation: 78-57=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 78-57=21 Current State: 83:[62, 21], Operations: ['87-25=62', '78-57=21'] Exploring Operation: 62+21=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 81, 41, 44 ]
30
[ "81/3=27", "44-41=3", "27+3=30" ]
Current State: 30:[3, 81, 41, 44], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [41, 44, 27] Generated Node #2: [41, 44, 27] from Operation: 81/3=27 Current State: 30:[41, 44, 27], Operations: ['81/3=27'] Exploring Operation: 44-41=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 44-41=3 Current State: 30:[27, 3], Operations: ['81/3=27', '44-41=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 78, 53, 27, 9 ]
18
[ "78-53=25", "27-25=2", "9*2=18" ]
Current State: 18:[78, 53, 27, 9], Operations: [] Exploring Operation: 78-53=25, Resulting Numbers: [27, 9, 25] Generated Node #2: [27, 9, 25] from Operation: 78-53=25 Current State: 18:[27, 9, 25], Operations: ['78-53=25'] Exploring Operation: 27-25=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 27-25=2 Current State: 18:[9, 2], Operations: ['78-53=25', '27-25=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 45, 29, 17, 43 ]
43
[ "45-29=16", "17-16=1", "43*1=43" ]
Current State: 43:[45, 29, 17, 43], Operations: [] Exploring Operation: 45-29=16, Resulting Numbers: [17, 43, 16] Generated Node #2: [17, 43, 16] from Operation: 45-29=16 Current State: 43:[17, 43, 16], Operations: ['45-29=16'] Exploring Operation: 17-16=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 17-16=1 Current State: 43:[43, 1], Operations: ['45-29=16', '17-16=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 1, 42, 44 ]
21
[ "84/42=2", "44/2=22", "22-1=21" ]
Current State: 21:[84, 1, 42, 44], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [1, 44, 2] Generated Node #2: [1, 44, 2] from Operation: 84/42=2 Current State: 21:[1, 44, 2], Operations: ['84/42=2'] Exploring Operation: 44/2=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 44/2=22 Current State: 21:[1, 22], Operations: ['84/42=2', '44/2=22'] Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 37, 45, 31, 39 ]
12
[ "37+45=82", "31+39=70", "82-70=12" ]
Current State: 12:[37, 45, 31, 39], Operations: [] Exploring Operation: 37+45=82, Resulting Numbers: [31, 39, 82] Generated Node #2: [31, 39, 82] from Operation: 37+45=82 Current State: 12:[31, 39, 82], Operations: ['37+45=82'] Exploring Operation: 31+39=70, Resulting Numbers: [82, 70] Generated Node #3: [82, 70] from Operation: 31+39=70 Current State: 12:[82, 70], Operations: ['37+45=82', '31+39=70'] Exploring Operation: 82-70=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 11, 41, 55, 95 ]
22
[ "55/11=5", "95/5=19", "41-19=22" ]
Current State: 22:[11, 41, 55, 95], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [41, 95, 5] Generated Node #2: [41, 95, 5] from Operation: 55/11=5 Current State: 22:[41, 95, 5], Operations: ['55/11=5'] Exploring Operation: 95/5=19, Resulting Numbers: [41, 19] Generated Node #3: [41, 19] from Operation: 95/5=19 Current State: 22:[41, 19], Operations: ['55/11=5', '95/5=19'] Exploring Operation: 41-19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 65, 7, 15, 5 ]
30
[ "65*7=455", "455-5=450", "450/15=30" ]
Current State: 30:[65, 7, 15, 5], Operations: [] Exploring Operation: 65*7=455, Resulting Numbers: [15, 5, 455] Generated Node #2: [15, 5, 455] from Operation: 65*7=455 Current State: 30:[15, 5, 455], Operations: ['65*7=455'] Exploring Operation: 455-5=450, Resulting Numbers: [15, 450] Generated Node #3: [15, 450] from Operation: 455-5=450 Current State: 30:[15, 450], Operations: ['65*7=455', '455-5=450'] Exploring Operation: 450/15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 47, 65, 80, 44 ]
18
[ "65-47=18", "80-44=36", "36-18=18" ]
Current State: 18:[47, 65, 80, 44], Operations: [] Exploring Operation: 65-47=18, Resulting Numbers: [80, 44, 18] Generated Node #2: [80, 44, 18] from Operation: 65-47=18 Current State: 18:[80, 44, 18], Operations: ['65-47=18'] Exploring Operation: 80-44=36, Resulting Numbers: [18, 36] Generated Node #3: [18, 36] from Operation: 80-44=36 Current State: 18:[18, 36], Operations: ['65-47=18', '80-44=36'] Exploring Operation: 36-18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 31, 65, 46, 43 ]
93
[ "31+65=96", "46-43=3", "96-3=93" ]
Current State: 93:[31, 65, 46, 43], Operations: [] Exploring Operation: 31+65=96, Resulting Numbers: [46, 43, 96] Generated Node #2: [46, 43, 96] from Operation: 31+65=96 Current State: 93:[46, 43, 96], Operations: ['31+65=96'] Exploring Operation: 46-43=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 46-43=3 Current State: 93:[96, 3], Operations: ['31+65=96', '46-43=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 21, 53, 9, 34 ]
57
[ "53-21=32", "34-9=25", "32+25=57" ]
Current State: 57:[21, 53, 9, 34], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [9, 34, 32] Generated Node #2: [9, 34, 32] from Operation: 53-21=32 Current State: 57:[9, 34, 32], Operations: ['53-21=32'] Exploring Operation: 34-9=25, Resulting Numbers: [32, 25] Generated Node #3: [32, 25] from Operation: 34-9=25 Current State: 57:[32, 25], Operations: ['53-21=32', '34-9=25'] Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 77, 99, 5, 3 ]
20
[ "99-77=22", "5-3=2", "22-2=20" ]
Current State: 20:[77, 99, 5, 3], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [5, 3, 22] Generated Node #2: [5, 3, 22] from Operation: 99-77=22 Current State: 20:[5, 3, 22], Operations: ['99-77=22'] Exploring Operation: 5-3=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 5-3=2 Current State: 20:[22, 2], Operations: ['99-77=22', '5-3=2'] Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 13, 83, 41, 11 ]
21
[ "13-11=2", "83-41=42", "42/2=21" ]
Current State: 21:[13, 83, 41, 11], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [83, 41, 2] Generated Node #2: [83, 41, 2] from Operation: 13-11=2 Current State: 21:[83, 41, 2], Operations: ['13-11=2'] Exploring Operation: 83-41=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 83-41=42 Current State: 21:[2, 42], Operations: ['13-11=2', '83-41=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 56, 13, 4, 95 ]
48
[ "56-13=43", "95-4=91", "91-43=48" ]
Current State: 48:[56, 13, 4, 95], Operations: [] Exploring Operation: 56-13=43, Resulting Numbers: [4, 95, 43] Generated Node #2: [4, 95, 43] from Operation: 56-13=43 Current State: 48:[4, 95, 43], Operations: ['56-13=43'] Exploring Operation: 95-4=91, Resulting Numbers: [43, 91] Generated Node #3: [43, 91] from Operation: 95-4=91 Current State: 48:[43, 91], Operations: ['56-13=43', '95-4=91'] Exploring Operation: 91-43=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 45, 38, 66 ]
62
[ "45-3=42", "38+66=104", "104-42=62" ]
Current State: 62:[3, 45, 38, 66], Operations: [] Exploring Operation: 45-3=42, Resulting Numbers: [38, 66, 42] Generated Node #2: [38, 66, 42] from Operation: 45-3=42 Current State: 62:[38, 66, 42], Operations: ['45-3=42'] Exploring Operation: 38+66=104, Resulting Numbers: [42, 104] Generated Node #3: [42, 104] from Operation: 38+66=104 Current State: 62:[42, 104], Operations: ['45-3=42', '38+66=104'] Exploring Operation: 104-42=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 29, 22, 90, 5 ]
55
[ "29-22=7", "5*7=35", "90-35=55" ]
Current State: 55:[29, 22, 90, 5], Operations: [] Exploring Operation: 29-22=7, Resulting Numbers: [90, 5, 7] Generated Node #2: [90, 5, 7] from Operation: 29-22=7 Current State: 55:[90, 5, 7], Operations: ['29-22=7'] Exploring Operation: 5*7=35, Resulting Numbers: [90, 35] Generated Node #3: [90, 35] from Operation: 5*7=35 Current State: 55:[90, 35], Operations: ['29-22=7', '5*7=35'] Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 54, 74, 47, 95 ]
80
[ "54+74=128", "95-47=48", "128-48=80" ]
Current State: 80:[54, 74, 47, 95], Operations: [] Exploring Operation: 54+74=128, Resulting Numbers: [47, 95, 128] Generated Node #2: [47, 95, 128] from Operation: 54+74=128 Current State: 80:[47, 95, 128], Operations: ['54+74=128'] Exploring Operation: 95-47=48, Resulting Numbers: [128, 48] Generated Node #3: [128, 48] from Operation: 95-47=48 Current State: 80:[128, 48], Operations: ['54+74=128', '95-47=48'] Exploring Operation: 128-48=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 9, 23, 70, 96 ]
67
[ "9+23=32", "96/32=3", "70-3=67" ]
Current State: 67:[9, 23, 70, 96], Operations: [] Exploring Operation: 9+23=32, Resulting Numbers: [70, 96, 32] Generated Node #2: [70, 96, 32] from Operation: 9+23=32 Current State: 67:[70, 96, 32], Operations: ['9+23=32'] Exploring Operation: 96/32=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 96/32=3 Current State: 67:[70, 3], Operations: ['9+23=32', '96/32=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 21, 75, 1 ]
98
[ "3+21=24", "75-1=74", "24+74=98" ]
Current State: 98:[3, 21, 75, 1], Operations: [] Exploring Operation: 3+21=24, Resulting Numbers: [75, 1, 24] Generated Node #2: [75, 1, 24] from Operation: 3+21=24 Current State: 98:[75, 1, 24], Operations: ['3+21=24'] Exploring Operation: 75-1=74, Resulting Numbers: [24, 74] Generated Node #3: [24, 74] from Operation: 75-1=74 Current State: 98:[24, 74], Operations: ['3+21=24', '75-1=74'] Exploring Operation: 24+74=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 91, 66, 74 ]
31
[ "91-52=39", "74-66=8", "39-8=31" ]
Current State: 31:[52, 91, 66, 74], Operations: [] Exploring Operation: 91-52=39, Resulting Numbers: [66, 74, 39] Generated Node #2: [66, 74, 39] from Operation: 91-52=39 Current State: 31:[66, 74, 39], Operations: ['91-52=39'] Exploring Operation: 74-66=8, Resulting Numbers: [39, 8] Generated Node #3: [39, 8] from Operation: 74-66=8 Current State: 31:[39, 8], Operations: ['91-52=39', '74-66=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 47, 33, 9, 90 ]
19
[ "47+33=80", "9+90=99", "99-80=19" ]
Current State: 19:[47, 33, 9, 90], Operations: [] Exploring Operation: 47+33=80, Resulting Numbers: [9, 90, 80] Generated Node #2: [9, 90, 80] from Operation: 47+33=80 Current State: 19:[9, 90, 80], Operations: ['47+33=80'] Exploring Operation: 9+90=99, Resulting Numbers: [80, 99] Generated Node #3: [80, 99] from Operation: 9+90=99 Current State: 19:[80, 99], Operations: ['47+33=80', '9+90=99'] Exploring Operation: 99-80=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 67, 11, 87, 86 ]
57
[ "67-11=56", "87-86=1", "56+1=57" ]
Current State: 57:[67, 11, 87, 86], Operations: [] Exploring Operation: 67-11=56, Resulting Numbers: [87, 86, 56] Generated Node #2: [87, 86, 56] from Operation: 67-11=56 Current State: 57:[87, 86, 56], Operations: ['67-11=56'] Exploring Operation: 87-86=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 87-86=1 Current State: 57:[56, 1], Operations: ['67-11=56', '87-86=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 99, 54, 80 ]
27
[ "8+99=107", "54+80=134", "134-107=27" ]
Current State: 27:[8, 99, 54, 80], Operations: [] Exploring Operation: 8+99=107, Resulting Numbers: [54, 80, 107] Generated Node #2: [54, 80, 107] from Operation: 8+99=107 Current State: 27:[54, 80, 107], Operations: ['8+99=107'] Exploring Operation: 54+80=134, Resulting Numbers: [107, 134] Generated Node #3: [107, 134] from Operation: 54+80=134 Current State: 27:[107, 134], Operations: ['8+99=107', '54+80=134'] Exploring Operation: 134-107=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 26, 79, 81, 81 ]
94
[ "81-79=2", "26/2=13", "81+13=94" ]
Current State: 94:[26, 79, 81, 81], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [26, 2] Generated Node #2: [26, 2] from Operation: 81-79=2 Current State: 94:[26, 2], Operations: ['81-79=2'] Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,94 equal: Goal Reached Exploring Operation: 81+13=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 1, 22, 3, 3 ]
72
[ "1+22=23", "3*23=69", "3+69=72" ]
Current State: 72:[1, 22, 3, 3], Operations: [] Exploring Operation: 1+22=23, Resulting Numbers: [3, 3, 23] Generated Node #2: [3, 3, 23] from Operation: 1+22=23 Current State: 72:[3, 3, 23], Operations: ['1+22=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,72 equal: Goal Reached Exploring Operation: 3+69=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 36, 92, 74, 24 ]
30
[ "36+92=128", "74+24=98", "128-98=30" ]
Current State: 30:[36, 92, 74, 24], Operations: [] Exploring Operation: 36+92=128, Resulting Numbers: [74, 24, 128] Generated Node #2: [74, 24, 128] from Operation: 36+92=128 Current State: 30:[74, 24, 128], Operations: ['36+92=128'] Exploring Operation: 74+24=98, Resulting Numbers: [128, 98] Generated Node #3: [128, 98] from Operation: 74+24=98 Current State: 30:[128, 98], Operations: ['36+92=128', '74+24=98'] Exploring Operation: 128-98=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 66, 60, 15, 22 ]
22
[ "66+22=88", "60/15=4", "88/4=22" ]
Current State: 22:[66, 60, 15, 22], Operations: [] Exploring Operation: 66+22=88, Resulting Numbers: [60, 15, 88] Generated Node #2: [60, 15, 88] from Operation: 66+22=88 Current State: 22:[60, 15, 88], Operations: ['66+22=88'] Exploring Operation: 60/15=4, Resulting Numbers: [88, 4] Generated Node #3: [88, 4] from Operation: 60/15=4 Current State: 22:[88, 4], Operations: ['66+22=88', '60/15=4'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 60, 90, 14, 10 ]
95
[ "60+10=70", "70/14=5", "90+5=95" ]
Current State: 95:[60, 90, 14, 10], Operations: [] Exploring Operation: 60+10=70, Resulting Numbers: [90, 14, 70] Generated Node #2: [90, 14, 70] from Operation: 60+10=70 Current State: 95:[90, 14, 70], Operations: ['60+10=70'] Exploring Operation: 70/14=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 70/14=5 Current State: 95:[90, 5], Operations: ['60+10=70', '70/14=5'] Exploring Operation: 90+5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 7, 6, 35, 49 ]
22
[ "49/7=7", "35-6=29", "29-7=22" ]
Current State: 22:[7, 6, 35, 49], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [6, 35, 7] Generated Node #2: [6, 35, 7] from Operation: 49/7=7 Current State: 22:[6, 35, 7], Operations: ['49/7=7'] Exploring Operation: 35-6=29, Resulting Numbers: [7, 29] Generated Node #3: [7, 29] from Operation: 35-6=29 Current State: 22:[7, 29], Operations: ['49/7=7', '35-6=29'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 95, 34, 72, 89 ]
22
[ "95-89=6", "72/6=12", "34-12=22" ]
Current State: 22:[95, 34, 72, 89], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [34, 72, 6] Generated Node #2: [34, 72, 6] from Operation: 95-89=6 Current State: 22:[34, 72, 6], Operations: ['95-89=6'] Exploring Operation: 72/6=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 72/6=12 Current State: 22:[34, 12], Operations: ['95-89=6', '72/6=12'] Exploring Operation: 34-12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 82, 3, 95 ]
25
[ "82+95=177", "177/3=59", "59-34=25" ]
Current State: 25:[34, 82, 3, 95], Operations: [] Exploring Operation: 82+95=177, Resulting Numbers: [34, 3, 177] Generated Node #2: [34, 3, 177] from Operation: 82+95=177 Current State: 25:[34, 3, 177], Operations: ['82+95=177'] Exploring Operation: 177/3=59, Resulting Numbers: [34, 59] Generated Node #3: [34, 59] from Operation: 177/3=59 Current State: 25:[34, 59], Operations: ['82+95=177', '177/3=59'] Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 76, 16, 36 ]
14
[ "76/2=38", "16+36=52", "52-38=14" ]
Current State: 14:[2, 76, 16, 36], Operations: [] Exploring Operation: 76/2=38, Resulting Numbers: [16, 36, 38] Generated Node #2: [16, 36, 38] from Operation: 76/2=38 Current State: 14:[16, 36, 38], Operations: ['76/2=38'] Exploring Operation: 16+36=52, Resulting Numbers: [38, 52] Generated Node #3: [38, 52] from Operation: 16+36=52 Current State: 14:[38, 52], Operations: ['76/2=38', '16+36=52'] Exploring Operation: 52-38=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 3, 8, 41, 2 ]
81
[ "3+2=5", "8*5=40", "41+40=81" ]
Current State: 81:[3, 8, 41, 2], Operations: [] Exploring Operation: 3+2=5, Resulting Numbers: [8, 41, 5] Generated Node #2: [8, 41, 5] from Operation: 3+2=5 Current State: 81:[8, 41, 5], Operations: ['3+2=5'] Exploring Operation: 8*5=40, Resulting Numbers: [41, 40] Generated Node #3: [41, 40] from Operation: 8*5=40 Current State: 81:[41, 40], Operations: ['3+2=5', '8*5=40'] Exploring Operation: 41+40=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 91, 29, 35 ]
37
[ "29+35=64", "2*64=128", "128-91=37" ]
Current State: 37:[2, 91, 29, 35], Operations: [] Exploring Operation: 29+35=64, Resulting Numbers: [2, 91, 64] Generated Node #2: [2, 91, 64] from Operation: 29+35=64 Current State: 37:[2, 91, 64], Operations: ['29+35=64'] Exploring Operation: 2*64=128, Resulting Numbers: [91, 128] Generated Node #3: [91, 128] from Operation: 2*64=128 Current State: 37:[91, 128], Operations: ['29+35=64', '2*64=128'] Exploring Operation: 128-91=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 9, 91, 25 ]
97
[ "91-83=8", "9*8=72", "25+72=97" ]
Current State: 97:[83, 9, 91, 25], Operations: [] Exploring Operation: 91-83=8, Resulting Numbers: [9, 25, 8] Generated Node #2: [9, 25, 8] from Operation: 91-83=8 Current State: 97:[9, 25, 8], Operations: ['91-83=8'] Exploring Operation: 9*8=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 9*8=72 Current State: 97:[25, 72], Operations: ['91-83=8', '9*8=72'] Exploring Operation: 25+72=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 1, 6, 90, 67 ]
83
[ "1+67=68", "90/6=15", "68+15=83" ]
Current State: 83:[1, 6, 90, 67], Operations: [] Exploring Operation: 1+67=68, Resulting Numbers: [6, 90, 68] Generated Node #2: [6, 90, 68] from Operation: 1+67=68 Current State: 83:[6, 90, 68], Operations: ['1+67=68'] Exploring Operation: 90/6=15, Resulting Numbers: [68, 15] Generated Node #3: [68, 15] from Operation: 90/6=15 Current State: 83:[68, 15], Operations: ['1+67=68', '90/6=15'] Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 69, 68, 69 ]
33
[ "68/2=34", "69/69=1", "34-1=33" ]
Current State: 33:[2, 69, 68, 69], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [69, 69, 34] Generated Node #2: [69, 69, 34] from Operation: 68/2=34 Current State: 33:[69, 69, 34], Operations: ['68/2=34'] Exploring Operation: 69/69=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 69/69=1 Current State: 33:[34, 1], Operations: ['68/2=34', '69/69=1'] Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 73, 3, 49 ]
69
[ "73-56=17", "3+49=52", "17+52=69" ]
Current State: 69:[56, 73, 3, 49], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [3, 49, 17] Generated Node #2: [3, 49, 17] from Operation: 73-56=17 Current State: 69:[3, 49, 17], Operations: ['73-56=17'] Exploring Operation: 3+49=52, Resulting Numbers: [17, 52] Generated Node #3: [17, 52] from Operation: 3+49=52 Current State: 69:[17, 52], Operations: ['73-56=17', '3+49=52'] Exploring Operation: 17+52=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 43, 41, 51, 67 ]
83
[ "43-41=2", "67*2=134", "134-51=83" ]
Current State: 83:[43, 41, 51, 67], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [51, 67, 2] Generated Node #2: [51, 67, 2] from Operation: 43-41=2 Current State: 83:[51, 67, 2], Operations: ['43-41=2'] Exploring Operation: 67*2=134, Resulting Numbers: [51, 134] Generated Node #3: [51, 134] from Operation: 67*2=134 Current State: 83:[51, 134], Operations: ['43-41=2', '67*2=134'] Exploring Operation: 134-51=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 73, 52, 36 ]
79
[ "52-46=6", "36/6=6", "73+6=79" ]
Current State: 79:[46, 73, 52, 36], Operations: [] Exploring Operation: 52-46=6, Resulting Numbers: [73, 36, 6] Generated Node #2: [73, 36, 6] from Operation: 52-46=6 Current State: 79:[73, 36, 6], Operations: ['52-46=6'] Exploring Operation: 36/6=6, Resulting Numbers: [73, 6] Generated Node #3: [73, 6] from Operation: 36/6=6 Current State: 79:[73, 6], Operations: ['52-46=6', '36/6=6'] Exploring Operation: 73+6=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 79, 19, 7, 89 ]
16
[ "79+19=98", "89-7=82", "98-82=16" ]
Current State: 16:[79, 19, 7, 89], Operations: [] Exploring Operation: 79+19=98, Resulting Numbers: [7, 89, 98] Generated Node #2: [7, 89, 98] from Operation: 79+19=98 Current State: 16:[7, 89, 98], Operations: ['79+19=98'] Exploring Operation: 89-7=82, Resulting Numbers: [98, 82] Generated Node #3: [98, 82] from Operation: 89-7=82 Current State: 16:[98, 82], Operations: ['79+19=98', '89-7=82'] Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 7, 89, 95 ]
96
[ "81+7=88", "89+95=184", "184-88=96" ]
Current State: 96:[81, 7, 89, 95], Operations: [] Exploring Operation: 81+7=88, Resulting Numbers: [89, 95, 88] Generated Node #2: [89, 95, 88] from Operation: 81+7=88 Current State: 96:[89, 95, 88], Operations: ['81+7=88'] Exploring Operation: 89+95=184, Resulting Numbers: [88, 184] Generated Node #3: [88, 184] from Operation: 89+95=184 Current State: 96:[88, 184], Operations: ['81+7=88', '89+95=184'] Exploring Operation: 184-88=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 16, 48, 1, 17 ]
80
[ "16+48=64", "17-1=16", "64+16=80" ]
Current State: 80:[16, 48, 1, 17], Operations: [] Exploring Operation: 16+48=64, Resulting Numbers: [1, 17, 64] Generated Node #2: [1, 17, 64] from Operation: 16+48=64 Current State: 80:[1, 17, 64], Operations: ['16+48=64'] Exploring Operation: 17-1=16, Resulting Numbers: [64, 16] Generated Node #3: [64, 16] from Operation: 17-1=16 Current State: 80:[64, 16], Operations: ['16+48=64', '17-1=16'] Exploring Operation: 64+16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 69, 14, 25, 84 ]
88
[ "69+25=94", "84/14=6", "94-6=88" ]
Current State: 88:[69, 14, 25, 84], Operations: [] Exploring Operation: 69+25=94, Resulting Numbers: [14, 84, 94] Generated Node #2: [14, 84, 94] from Operation: 69+25=94 Current State: 88:[14, 84, 94], Operations: ['69+25=94'] Exploring Operation: 84/14=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 84/14=6 Current State: 88:[94, 6], Operations: ['69+25=94', '84/14=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 24, 22, 64, 68 ]
66
[ "24-22=2", "64+68=132", "132/2=66" ]
Current State: 66:[24, 22, 64, 68], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [64, 68, 2] Generated Node #2: [64, 68, 2] from Operation: 24-22=2 Current State: 66:[64, 68, 2], Operations: ['24-22=2'] Exploring Operation: 64+68=132, Resulting Numbers: [2, 132] Generated Node #3: [2, 132] from Operation: 64+68=132 Current State: 66:[2, 132], Operations: ['24-22=2', '64+68=132'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 46, 2, 30, 85 ]
67
[ "46+2=48", "30+85=115", "115-48=67" ]
Current State: 67:[46, 2, 30, 85], Operations: [] Exploring Operation: 46+2=48, Resulting Numbers: [30, 85, 48] Generated Node #2: [30, 85, 48] from Operation: 46+2=48 Current State: 67:[30, 85, 48], Operations: ['46+2=48'] Exploring Operation: 30+85=115, Resulting Numbers: [48, 115] Generated Node #3: [48, 115] from Operation: 30+85=115 Current State: 67:[48, 115], Operations: ['46+2=48', '30+85=115'] Exploring Operation: 115-48=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 5, 4, 72, 18 ]
22
[ "5*18=90", "72-4=68", "90-68=22" ]
Current State: 22:[5, 4, 72, 18], Operations: [] Exploring Operation: 5*18=90, Resulting Numbers: [4, 72, 90] Generated Node #2: [4, 72, 90] from Operation: 5*18=90 Current State: 22:[4, 72, 90], Operations: ['5*18=90'] Exploring Operation: 72-4=68, Resulting Numbers: [90, 68] Generated Node #3: [90, 68] from Operation: 72-4=68 Current State: 22:[90, 68], Operations: ['5*18=90', '72-4=68'] Exploring Operation: 90-68=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 67, 83, 19 ]
55
[ "5*19=95", "67+83=150", "150-95=55" ]
Current State: 55:[5, 67, 83, 19], Operations: [] Exploring Operation: 5*19=95, Resulting Numbers: [67, 83, 95] Generated Node #2: [67, 83, 95] from Operation: 5*19=95 Current State: 55:[67, 83, 95], Operations: ['5*19=95'] Exploring Operation: 67+83=150, Resulting Numbers: [95, 150] Generated Node #3: [95, 150] from Operation: 67+83=150 Current State: 55:[95, 150], Operations: ['5*19=95', '67+83=150'] Exploring Operation: 150-95=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 48, 24, 26, 11 ]
57
[ "48+24=72", "26-11=15", "72-15=57" ]
Current State: 57:[48, 24, 26, 11], Operations: [] Exploring Operation: 48+24=72, Resulting Numbers: [26, 11, 72] Generated Node #2: [26, 11, 72] from Operation: 48+24=72 Current State: 57:[26, 11, 72], Operations: ['48+24=72'] Exploring Operation: 26-11=15, Resulting Numbers: [72, 15] Generated Node #3: [72, 15] from Operation: 26-11=15 Current State: 57:[72, 15], Operations: ['48+24=72', '26-11=15'] Exploring Operation: 72-15=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 14, 42, 9, 45 ]
82
[ "42-14=28", "9+45=54", "28+54=82" ]
Current State: 82:[14, 42, 9, 45], Operations: [] Exploring Operation: 42-14=28, Resulting Numbers: [9, 45, 28] Generated Node #2: [9, 45, 28] from Operation: 42-14=28 Current State: 82:[9, 45, 28], Operations: ['42-14=28'] Exploring Operation: 9+45=54, Resulting Numbers: [28, 54] Generated Node #3: [28, 54] from Operation: 9+45=54 Current State: 82:[28, 54], Operations: ['42-14=28', '9+45=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 51, 49, 34, 78 ]
46
[ "51-49=2", "78-34=44", "2+44=46" ]
Current State: 46:[51, 49, 34, 78], Operations: [] Exploring Operation: 51-49=2, Resulting Numbers: [34, 78, 2] Generated Node #2: [34, 78, 2] from Operation: 51-49=2 Current State: 46:[34, 78, 2], Operations: ['51-49=2'] Exploring Operation: 78-34=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 78-34=44 Current State: 46:[2, 44], Operations: ['51-49=2', '78-34=44'] Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 4, 33, 18 ]
61
[ "19*4=76", "33-18=15", "76-15=61" ]
Current State: 61:[19, 4, 33, 18], Operations: [] Exploring Operation: 19*4=76, Resulting Numbers: [33, 18, 76] Generated Node #2: [33, 18, 76] from Operation: 19*4=76 Current State: 61:[33, 18, 76], Operations: ['19*4=76'] Exploring Operation: 33-18=15, Resulting Numbers: [76, 15] Generated Node #3: [76, 15] from Operation: 33-18=15 Current State: 61:[76, 15], Operations: ['19*4=76', '33-18=15'] Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 45, 18, 10 ]
84
[ "45*18=810", "810/10=81", "3+81=84" ]
Current State: 84:[3, 45, 18, 10], Operations: [] Exploring Operation: 45*18=810, Resulting Numbers: [3, 10, 810] Generated Node #2: [3, 10, 810] from Operation: 45*18=810 Current State: 84:[3, 10, 810], Operations: ['45*18=810'] Exploring Operation: 810/10=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 810/10=81 Current State: 84:[3, 81], Operations: ['45*18=810', '810/10=81'] Exploring Operation: 3+81=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 52, 34, 82, 17 ]
68
[ "52+34=86", "86-82=4", "17*4=68" ]
Current State: 68:[52, 34, 82, 17], Operations: [] Exploring Operation: 52+34=86, Resulting Numbers: [82, 17, 86] Generated Node #2: [82, 17, 86] from Operation: 52+34=86 Current State: 68:[82, 17, 86], Operations: ['52+34=86'] Exploring Operation: 86-82=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 86-82=4 Current State: 68:[17, 4], Operations: ['52+34=86', '86-82=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 67, 60, 56 ]
62
[ "67-13=54", "60+56=116", "116-54=62" ]
Current State: 62:[13, 67, 60, 56], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [60, 56, 54] Generated Node #2: [60, 56, 54] from Operation: 67-13=54 Current State: 62:[60, 56, 54], Operations: ['67-13=54'] Exploring Operation: 60+56=116, Resulting Numbers: [54, 116] Generated Node #3: [54, 116] from Operation: 60+56=116 Current State: 62:[54, 116], Operations: ['67-13=54', '60+56=116'] Exploring Operation: 116-54=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 65, 64, 38, 13 ]
31
[ "65/13=5", "64-38=26", "5+26=31" ]
Current State: 31:[65, 64, 38, 13], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [64, 38, 5] Generated Node #2: [64, 38, 5] from Operation: 65/13=5 Current State: 31:[64, 38, 5], Operations: ['65/13=5'] Exploring Operation: 64-38=26, Resulting Numbers: [5, 26] Generated Node #3: [5, 26] from Operation: 64-38=26 Current State: 31:[5, 26], Operations: ['65/13=5', '64-38=26'] Exploring Operation: 5+26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 4, 44, 27, 41 ]
26
[ "44-4=40", "41-27=14", "40-14=26" ]
Current State: 26:[4, 44, 27, 41], Operations: [] Exploring Operation: 44-4=40, Resulting Numbers: [27, 41, 40] Generated Node #2: [27, 41, 40] from Operation: 44-4=40 Current State: 26:[27, 41, 40], Operations: ['44-4=40'] Exploring Operation: 41-27=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 41-27=14 Current State: 26:[40, 14], Operations: ['44-4=40', '41-27=14'] Exploring Operation: 40-14=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 56, 69, 86, 2 ]
75
[ "69-56=13", "86+2=88", "88-13=75" ]
Current State: 75:[56, 69, 86, 2], Operations: [] Exploring Operation: 69-56=13, Resulting Numbers: [86, 2, 13] Generated Node #2: [86, 2, 13] from Operation: 69-56=13 Current State: 75:[86, 2, 13], Operations: ['69-56=13'] Exploring Operation: 86+2=88, Resulting Numbers: [13, 88] Generated Node #3: [13, 88] from Operation: 86+2=88 Current State: 75:[13, 88], Operations: ['69-56=13', '86+2=88'] Exploring Operation: 88-13=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 49, 56, 67 ]
21
[ "49-17=32", "67-56=11", "32-11=21" ]
Current State: 21:[17, 49, 56, 67], Operations: [] Exploring Operation: 49-17=32, Resulting Numbers: [56, 67, 32] Generated Node #2: [56, 67, 32] from Operation: 49-17=32 Current State: 21:[56, 67, 32], Operations: ['49-17=32'] Exploring Operation: 67-56=11, Resulting Numbers: [32, 11] Generated Node #3: [32, 11] from Operation: 67-56=11 Current State: 21:[32, 11], Operations: ['49-17=32', '67-56=11'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4