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
[ 72, 30, 84, 4 ]
39
[ "30*84=2520", "2520/72=35", "4+35=39" ]
Current State: 39:[72, 30, 84, 4], Operations: [] Exploring Operation: 30*84=2520, Resulting Numbers: [72, 4, 2520] Generated Node #2: [72, 4, 2520] from Operation: 30*84=2520 Current State: 39:[72, 4, 2520], Operations: ['30*84=2520'] Exploring Operation: 2520/72=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 2520/72=35 Current State: 39:[4, 35], Operations: ['30*84=2520', '2520/72=35'] Exploring Operation: 4+35=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 33, 18, 50, 25 ]
25
[ "33+18=51", "51-50=1", "25*1=25" ]
Current State: 25:[33, 18, 50, 25], Operations: [] Exploring Operation: 33+18=51, Resulting Numbers: [50, 25, 51] Generated Node #2: [50, 25, 51] from Operation: 33+18=51 Current State: 25:[50, 25, 51], Operations: ['33+18=51'] Exploring Operation: 51-50=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 51-50=1 Current State: 25:[25, 1], Operations: ['33+18=51', '51-50=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 23, 30, 35, 17 ]
45
[ "30-23=7", "35+17=52", "52-7=45" ]
Current State: 45:[23, 30, 35, 17], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [35, 17, 7] Generated Node #2: [35, 17, 7] from Operation: 30-23=7 Current State: 45:[35, 17, 7], Operations: ['30-23=7'] Exploring Operation: 35+17=52, Resulting Numbers: [7, 52] Generated Node #3: [7, 52] from Operation: 35+17=52 Current State: 45:[7, 52], Operations: ['30-23=7', '35+17=52'] Exploring Operation: 52-7=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 58, 4, 46, 74 ]
100
[ "58+46=104", "104/4=26", "74+26=100" ]
Current State: 100:[58, 4, 46, 74], Operations: [] Exploring Operation: 58+46=104, Resulting Numbers: [4, 74, 104] Generated Node #2: [4, 74, 104] from Operation: 58+46=104 Current State: 100:[4, 74, 104], Operations: ['58+46=104'] Exploring Operation: 104/4=26, Resulting Numbers: [74, 26] Generated Node #3: [74, 26] from Operation: 104/4=26 Current State: 100:[74, 26], Operations: ['58+46=104', '104/4=26'] Exploring Operation: 74+26=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 20, 5, 5, 90 ]
13
[ "20+5=25", "90-25=65", "65/5=13" ]
Current State: 13:[20, 5, 5, 90], Operations: [] Exploring Operation: 20+5=25, Resulting Numbers: [90, 25] Generated Node #2: [90, 25] from Operation: 20+5=25 Current State: 13:[90, 25], Operations: ['20+5=25'] Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,13 equal: Goal Reached Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 50, 29, 83, 17 ]
31
[ "83+17=100", "100/50=2", "29+2=31" ]
Current State: 31:[50, 29, 83, 17], Operations: [] Exploring Operation: 83+17=100, Resulting Numbers: [50, 29, 100] Generated Node #2: [50, 29, 100] from Operation: 83+17=100 Current State: 31:[50, 29, 100], Operations: ['83+17=100'] Exploring Operation: 100/50=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 100/50=2 Current State: 31:[29, 2], Operations: ['83+17=100', '100/50=2'] Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 76, 44, 94, 69 ]
57
[ "76-44=32", "94-69=25", "32+25=57" ]
Current State: 57:[76, 44, 94, 69], Operations: [] Exploring Operation: 76-44=32, Resulting Numbers: [94, 69, 32] Generated Node #2: [94, 69, 32] from Operation: 76-44=32 Current State: 57:[94, 69, 32], Operations: ['76-44=32'] Exploring Operation: 94-69=25, Resulting Numbers: [32, 25] Generated Node #3: [32, 25] from Operation: 94-69=25 Current State: 57:[32, 25], Operations: ['76-44=32', '94-69=25'] Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 97, 57, 2, 11 ]
74
[ "57-11=46", "46/2=23", "97-23=74" ]
Current State: 74:[97, 57, 2, 11], Operations: [] Exploring Operation: 57-11=46, Resulting Numbers: [97, 2, 46] Generated Node #2: [97, 2, 46] from Operation: 57-11=46 Current State: 74:[97, 2, 46], Operations: ['57-11=46'] Exploring Operation: 46/2=23, Resulting Numbers: [97, 23] Generated Node #3: [97, 23] from Operation: 46/2=23 Current State: 74:[97, 23], Operations: ['57-11=46', '46/2=23'] Exploring Operation: 97-23=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 40, 33, 22 ]
70
[ "40-33=7", "22*7=154", "154-84=70" ]
Current State: 70:[84, 40, 33, 22], Operations: [] Exploring Operation: 40-33=7, Resulting Numbers: [84, 22, 7] Generated Node #2: [84, 22, 7] from Operation: 40-33=7 Current State: 70:[84, 22, 7], Operations: ['40-33=7'] Exploring Operation: 22*7=154, Resulting Numbers: [84, 154] Generated Node #3: [84, 154] from Operation: 22*7=154 Current State: 70:[84, 154], Operations: ['40-33=7', '22*7=154'] Exploring Operation: 154-84=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 16, 43, 67 ]
40
[ "54+16=70", "43+67=110", "110-70=40" ]
Current State: 40:[54, 16, 43, 67], Operations: [] Exploring Operation: 54+16=70, Resulting Numbers: [43, 67, 70] Generated Node #2: [43, 67, 70] from Operation: 54+16=70 Current State: 40:[43, 67, 70], Operations: ['54+16=70'] Exploring Operation: 43+67=110, Resulting Numbers: [70, 110] Generated Node #3: [70, 110] from Operation: 43+67=110 Current State: 40:[70, 110], Operations: ['54+16=70', '43+67=110'] Exploring Operation: 110-70=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 74, 47, 44, 37 ]
50
[ "74*47=3478", "3478/37=94", "94-44=50" ]
Current State: 50:[74, 47, 44, 37], Operations: [] Exploring Operation: 74*47=3478, Resulting Numbers: [44, 37, 3478] Generated Node #2: [44, 37, 3478] from Operation: 74*47=3478 Current State: 50:[44, 37, 3478], Operations: ['74*47=3478'] Exploring Operation: 3478/37=94, Resulting Numbers: [44, 94] Generated Node #3: [44, 94] from Operation: 3478/37=94 Current State: 50:[44, 94], Operations: ['74*47=3478', '3478/37=94'] Exploring Operation: 94-44=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 79, 58, 3, 1 ]
95
[ "79*1=79", "58*3=174", "174-79=95" ]
Current State: 95:[79, 58, 3, 1], Operations: [] Exploring Operation: 79*1=79, Resulting Numbers: [58, 3, 79] Generated Node #2: [58, 3, 79] from Operation: 79*1=79 Current State: 95:[58, 3, 79], Operations: ['79*1=79'] Exploring Operation: 58*3=174, Resulting Numbers: [79, 174] Generated Node #3: [79, 174] from Operation: 58*3=174 Current State: 95:[79, 174], Operations: ['79*1=79', '58*3=174'] Exploring Operation: 174-79=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 21, 9, 99, 50 ]
60
[ "21+50=71", "99/9=11", "71-11=60" ]
Current State: 60:[21, 9, 99, 50], Operations: [] Exploring Operation: 21+50=71, Resulting Numbers: [9, 99, 71] Generated Node #2: [9, 99, 71] from Operation: 21+50=71 Current State: 60:[9, 99, 71], Operations: ['21+50=71'] Exploring Operation: 99/9=11, Resulting Numbers: [71, 11] Generated Node #3: [71, 11] from Operation: 99/9=11 Current State: 60:[71, 11], Operations: ['21+50=71', '99/9=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 36, 31, 37, 50 ]
92
[ "36-31=5", "37+50=87", "5+87=92" ]
Current State: 92:[36, 31, 37, 50], Operations: [] Exploring Operation: 36-31=5, Resulting Numbers: [37, 50, 5] Generated Node #2: [37, 50, 5] from Operation: 36-31=5 Current State: 92:[37, 50, 5], Operations: ['36-31=5'] Exploring Operation: 37+50=87, Resulting Numbers: [5, 87] Generated Node #3: [5, 87] from Operation: 37+50=87 Current State: 92:[5, 87], Operations: ['36-31=5', '37+50=87'] Exploring Operation: 5+87=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 93, 67, 41, 43 ]
41
[ "93+41=134", "134/67=2", "43-2=41" ]
Current State: 41:[93, 67, 41, 43], Operations: [] Exploring Operation: 93+41=134, Resulting Numbers: [67, 43, 134] Generated Node #2: [67, 43, 134] from Operation: 93+41=134 Current State: 41:[67, 43, 134], Operations: ['93+41=134'] Exploring Operation: 134/67=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 134/67=2 Current State: 41:[43, 2], Operations: ['93+41=134', '134/67=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 36, 22, 60, 62 ]
40
[ "62-60=2", "36/2=18", "22+18=40" ]
Current State: 40:[36, 22, 60, 62], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [36, 22, 2] Generated Node #2: [36, 22, 2] from Operation: 62-60=2 Current State: 40:[36, 22, 2], Operations: ['62-60=2'] Exploring Operation: 36/2=18, Resulting Numbers: [22, 18] Generated Node #3: [22, 18] from Operation: 36/2=18 Current State: 40:[22, 18], Operations: ['62-60=2', '36/2=18'] Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 81, 9, 90 ]
47
[ "81+90=171", "171/9=19", "66-19=47" ]
Current State: 47:[66, 81, 9, 90], Operations: [] Exploring Operation: 81+90=171, Resulting Numbers: [66, 9, 171] Generated Node #2: [66, 9, 171] from Operation: 81+90=171 Current State: 47:[66, 9, 171], Operations: ['81+90=171'] Exploring Operation: 171/9=19, Resulting Numbers: [66, 19] Generated Node #3: [66, 19] from Operation: 171/9=19 Current State: 47:[66, 19], Operations: ['81+90=171', '171/9=19'] Exploring Operation: 66-19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 10, 67, 43, 79 ]
68
[ "67+43=110", "110/10=11", "79-11=68" ]
Current State: 68:[10, 67, 43, 79], Operations: [] Exploring Operation: 67+43=110, Resulting Numbers: [10, 79, 110] Generated Node #2: [10, 79, 110] from Operation: 67+43=110 Current State: 68:[10, 79, 110], Operations: ['67+43=110'] Exploring Operation: 110/10=11, Resulting Numbers: [79, 11] Generated Node #3: [79, 11] from Operation: 110/10=11 Current State: 68:[79, 11], Operations: ['67+43=110', '110/10=11'] Exploring Operation: 79-11=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 49, 62, 76 ]
67
[ "62-49=13", "11*13=143", "143-76=67" ]
Current State: 67:[11, 49, 62, 76], Operations: [] Exploring Operation: 62-49=13, Resulting Numbers: [11, 76, 13] Generated Node #2: [11, 76, 13] from Operation: 62-49=13 Current State: 67:[11, 76, 13], Operations: ['62-49=13'] Exploring Operation: 11*13=143, Resulting Numbers: [76, 143] Generated Node #3: [76, 143] from Operation: 11*13=143 Current State: 67:[76, 143], Operations: ['62-49=13', '11*13=143'] Exploring Operation: 143-76=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 45, 4, 49, 34 ]
32
[ "45+49=94", "34+94=128", "128/4=32" ]
Current State: 32:[45, 4, 49, 34], Operations: [] Exploring Operation: 45+49=94, Resulting Numbers: [4, 34, 94] Generated Node #2: [4, 34, 94] from Operation: 45+49=94 Current State: 32:[4, 34, 94], Operations: ['45+49=94'] Exploring Operation: 34+94=128, Resulting Numbers: [4, 128] Generated Node #3: [4, 128] from Operation: 34+94=128 Current State: 32:[4, 128], Operations: ['45+49=94', '34+94=128'] Exploring Operation: 128/4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 95, 75, 80 ]
70
[ "95-75=20", "20/2=10", "80-10=70" ]
Current State: 70:[2, 95, 75, 80], Operations: [] Exploring Operation: 95-75=20, Resulting Numbers: [2, 80, 20] Generated Node #2: [2, 80, 20] from Operation: 95-75=20 Current State: 70:[2, 80, 20], Operations: ['95-75=20'] Exploring Operation: 20/2=10, Resulting Numbers: [80, 10] Generated Node #3: [80, 10] from Operation: 20/2=10 Current State: 70:[80, 10], Operations: ['95-75=20', '20/2=10'] Exploring Operation: 80-10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 36, 33, 54, 14 ]
32
[ "36-33=3", "54/3=18", "14+18=32" ]
Current State: 32:[36, 33, 54, 14], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [54, 14, 3] Generated Node #2: [54, 14, 3] from Operation: 36-33=3 Current State: 32:[54, 14, 3], Operations: ['36-33=3'] Exploring Operation: 54/3=18, Resulting Numbers: [14, 18] Generated Node #3: [14, 18] from Operation: 54/3=18 Current State: 32:[14, 18], Operations: ['36-33=3', '54/3=18'] Exploring Operation: 14+18=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 46, 26, 59, 13 ]
11
[ "59-46=13", "26/13=2", "13-2=11" ]
Current State: 11:[46, 26, 59, 13], Operations: [] Exploring Operation: 59-46=13, Resulting Numbers: [26, 13, 13] Generated Node #2: [26, 13, 13] from Operation: 59-46=13 Current State: 11:[26, 13, 13], Operations: ['59-46=13'] Exploring Operation: 26/13=2, Resulting Numbers: [2] 2,11 equal: Goal Reached Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 35, 83, 46, 82 ]
41
[ "83-35=48", "48-46=2", "82/2=41" ]
Current State: 41:[35, 83, 46, 82], Operations: [] Exploring Operation: 83-35=48, Resulting Numbers: [46, 82, 48] Generated Node #2: [46, 82, 48] from Operation: 83-35=48 Current State: 41:[46, 82, 48], Operations: ['83-35=48'] Exploring Operation: 48-46=2, Resulting Numbers: [82, 2] Generated Node #3: [82, 2] from Operation: 48-46=2 Current State: 41:[82, 2], Operations: ['83-35=48', '48-46=2'] Exploring Operation: 82/2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 24, 24, 34, 33 ]
24
[ "24*34=816", "24*33=792", "816-792=24" ]
Current State: 24:[24, 24, 34, 33], Operations: [] Exploring Operation: 24*34=816, Resulting Numbers: [33, 816] Generated Node #2: [33, 816] from Operation: 24*34=816 Current State: 24:[33, 816], Operations: ['24*34=816'] Exploring Operation: 24*33=792, Resulting Numbers: [816, 792] Generated Node #3: [816, 792] from Operation: 24*33=792 Current State: 24:[816, 792], Operations: ['24*34=816', '24*33=792'] Exploring Operation: 816-792=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 89, 10, 64 ]
47
[ "64/2=32", "89-10=79", "79-32=47" ]
Current State: 47:[2, 89, 10, 64], Operations: [] Exploring Operation: 64/2=32, Resulting Numbers: [89, 10, 32] Generated Node #2: [89, 10, 32] from Operation: 64/2=32 Current State: 47:[89, 10, 32], Operations: ['64/2=32'] Exploring Operation: 89-10=79, Resulting Numbers: [32, 79] Generated Node #3: [32, 79] from Operation: 89-10=79 Current State: 47:[32, 79], Operations: ['64/2=32', '89-10=79'] Exploring Operation: 79-32=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 45, 28, 26 ]
23
[ "45-24=21", "28-26=2", "21+2=23" ]
Current State: 23:[24, 45, 28, 26], Operations: [] Exploring Operation: 45-24=21, Resulting Numbers: [28, 26, 21] Generated Node #2: [28, 26, 21] from Operation: 45-24=21 Current State: 23:[28, 26, 21], Operations: ['45-24=21'] Exploring Operation: 28-26=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 28-26=2 Current State: 23:[21, 2], Operations: ['45-24=21', '28-26=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 76, 70, 13, 35 ]
25
[ "76*35=2660", "2660/70=38", "38-13=25" ]
Current State: 25:[76, 70, 13, 35], Operations: [] Exploring Operation: 76*35=2660, Resulting Numbers: [70, 13, 2660] Generated Node #2: [70, 13, 2660] from Operation: 76*35=2660 Current State: 25:[70, 13, 2660], Operations: ['76*35=2660'] Exploring Operation: 2660/70=38, Resulting Numbers: [13, 38] Generated Node #3: [13, 38] from Operation: 2660/70=38 Current State: 25:[13, 38], Operations: ['76*35=2660', '2660/70=38'] Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 73, 21, 32, 13 ]
75
[ "73+21=94", "32-13=19", "94-19=75" ]
Current State: 75:[73, 21, 32, 13], Operations: [] Exploring Operation: 73+21=94, Resulting Numbers: [32, 13, 94] Generated Node #2: [32, 13, 94] from Operation: 73+21=94 Current State: 75:[32, 13, 94], Operations: ['73+21=94'] Exploring Operation: 32-13=19, Resulting Numbers: [94, 19] Generated Node #3: [94, 19] from Operation: 32-13=19 Current State: 75:[94, 19], Operations: ['73+21=94', '32-13=19'] Exploring Operation: 94-19=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 12, 65, 46 ]
76
[ "46/2=23", "65-12=53", "23+53=76" ]
Current State: 76:[2, 12, 65, 46], Operations: [] Exploring Operation: 46/2=23, Resulting Numbers: [12, 65, 23] Generated Node #2: [12, 65, 23] from Operation: 46/2=23 Current State: 76:[12, 65, 23], Operations: ['46/2=23'] Exploring Operation: 65-12=53, Resulting Numbers: [23, 53] Generated Node #3: [23, 53] from Operation: 65-12=53 Current State: 76:[23, 53], Operations: ['46/2=23', '65-12=53'] Exploring Operation: 23+53=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 78, 10, 28 ]
10
[ "4*10=40", "78-28=50", "50-40=10" ]
Current State: 10:[4, 78, 10, 28], Operations: [] Exploring Operation: 4*10=40, Resulting Numbers: [78, 28, 40] Generated Node #2: [78, 28, 40] from Operation: 4*10=40 Current State: 10:[78, 28, 40], Operations: ['4*10=40'] Exploring Operation: 78-28=50, Resulting Numbers: [40, 50] Generated Node #3: [40, 50] from Operation: 78-28=50 Current State: 10:[40, 50], Operations: ['4*10=40', '78-28=50'] Exploring Operation: 50-40=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 63, 91, 65, 11 ]
56
[ "63*65=4095", "4095/91=45", "11+45=56" ]
Current State: 56:[63, 91, 65, 11], Operations: [] Exploring Operation: 63*65=4095, Resulting Numbers: [91, 11, 4095] Generated Node #2: [91, 11, 4095] from Operation: 63*65=4095 Current State: 56:[91, 11, 4095], Operations: ['63*65=4095'] Exploring Operation: 4095/91=45, Resulting Numbers: [11, 45] Generated Node #3: [11, 45] from Operation: 4095/91=45 Current State: 56:[11, 45], Operations: ['63*65=4095', '4095/91=45'] Exploring Operation: 11+45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 88, 56, 57 ]
79
[ "88-8=80", "57-56=1", "80-1=79" ]
Current State: 79:[8, 88, 56, 57], Operations: [] Exploring Operation: 88-8=80, Resulting Numbers: [56, 57, 80] Generated Node #2: [56, 57, 80] from Operation: 88-8=80 Current State: 79:[56, 57, 80], Operations: ['88-8=80'] Exploring Operation: 57-56=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 57-56=1 Current State: 79:[80, 1], Operations: ['88-8=80', '57-56=1'] Exploring Operation: 80-1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 94, 45, 29, 82 ]
86
[ "94+45=139", "82-29=53", "139-53=86" ]
Current State: 86:[94, 45, 29, 82], Operations: [] Exploring Operation: 94+45=139, Resulting Numbers: [29, 82, 139] Generated Node #2: [29, 82, 139] from Operation: 94+45=139 Current State: 86:[29, 82, 139], Operations: ['94+45=139'] Exploring Operation: 82-29=53, Resulting Numbers: [139, 53] Generated Node #3: [139, 53] from Operation: 82-29=53 Current State: 86:[139, 53], Operations: ['94+45=139', '82-29=53'] Exploring Operation: 139-53=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 7, 40, 91, 87 ]
34
[ "91/7=13", "87-40=47", "47-13=34" ]
Current State: 34:[7, 40, 91, 87], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [40, 87, 13] Generated Node #2: [40, 87, 13] from Operation: 91/7=13 Current State: 34:[40, 87, 13], Operations: ['91/7=13'] Exploring Operation: 87-40=47, Resulting Numbers: [13, 47] Generated Node #3: [13, 47] from Operation: 87-40=47 Current State: 34:[13, 47], Operations: ['91/7=13', '87-40=47'] Exploring Operation: 47-13=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 8, 19, 65 ]
57
[ "6*19=114", "65-8=57", "114-57=57" ]
Current State: 57:[6, 8, 19, 65], Operations: [] Exploring Operation: 6*19=114, Resulting Numbers: [8, 65, 114] Generated Node #2: [8, 65, 114] from Operation: 6*19=114 Current State: 57:[8, 65, 114], Operations: ['6*19=114'] Exploring Operation: 65-8=57, Resulting Numbers: [114, 57] Generated Node #3: [114, 57] from Operation: 65-8=57 Current State: 57:[114, 57], Operations: ['6*19=114', '65-8=57'] Exploring Operation: 114-57=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 56, 43, 61, 32 ]
16
[ "56-43=13", "61-32=29", "29-13=16" ]
Current State: 16:[56, 43, 61, 32], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [61, 32, 13] Generated Node #2: [61, 32, 13] from Operation: 56-43=13 Current State: 16:[61, 32, 13], Operations: ['56-43=13'] Exploring Operation: 61-32=29, Resulting Numbers: [13, 29] Generated Node #3: [13, 29] from Operation: 61-32=29 Current State: 16:[13, 29], Operations: ['56-43=13', '61-32=29'] Exploring Operation: 29-13=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 10, 32, 87, 39 ]
96
[ "39-10=29", "32*87=2784", "2784/29=96" ]
Current State: 96:[10, 32, 87, 39], Operations: [] Exploring Operation: 39-10=29, Resulting Numbers: [32, 87, 29] Generated Node #2: [32, 87, 29] from Operation: 39-10=29 Current State: 96:[32, 87, 29], Operations: ['39-10=29'] Exploring Operation: 32*87=2784, Resulting Numbers: [29, 2784] Generated Node #3: [29, 2784] from Operation: 32*87=2784 Current State: 96:[29, 2784], Operations: ['39-10=29', '32*87=2784'] Exploring Operation: 2784/29=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 1, 76, 50, 40 ]
60
[ "76-1=75", "40*75=3000", "3000/50=60" ]
Current State: 60:[1, 76, 50, 40], Operations: [] Exploring Operation: 76-1=75, Resulting Numbers: [50, 40, 75] Generated Node #2: [50, 40, 75] from Operation: 76-1=75 Current State: 60:[50, 40, 75], Operations: ['76-1=75'] Exploring Operation: 40*75=3000, Resulting Numbers: [50, 3000] Generated Node #3: [50, 3000] from Operation: 40*75=3000 Current State: 60:[50, 3000], Operations: ['76-1=75', '40*75=3000'] Exploring Operation: 3000/50=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 44, 32, 3 ]
60
[ "6*32=192", "44*3=132", "192-132=60" ]
Current State: 60:[6, 44, 32, 3], Operations: [] Exploring Operation: 6*32=192, Resulting Numbers: [44, 3, 192] Generated Node #2: [44, 3, 192] from Operation: 6*32=192 Current State: 60:[44, 3, 192], Operations: ['6*32=192'] Exploring Operation: 44*3=132, Resulting Numbers: [192, 132] Generated Node #3: [192, 132] from Operation: 44*3=132 Current State: 60:[192, 132], Operations: ['6*32=192', '44*3=132'] Exploring Operation: 192-132=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 81, 6, 60, 1 ]
14
[ "81-6=75", "60+1=61", "75-61=14" ]
Current State: 14:[81, 6, 60, 1], Operations: [] Exploring Operation: 81-6=75, Resulting Numbers: [60, 1, 75] Generated Node #2: [60, 1, 75] from Operation: 81-6=75 Current State: 14:[60, 1, 75], Operations: ['81-6=75'] Exploring Operation: 60+1=61, Resulting Numbers: [75, 61] Generated Node #3: [75, 61] from Operation: 60+1=61 Current State: 14:[75, 61], Operations: ['81-6=75', '60+1=61'] Exploring Operation: 75-61=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 36, 10, 28, 37 ]
37
[ "36+10=46", "37-28=9", "46-9=37" ]
Current State: 37:[36, 10, 28, 37], Operations: [] Exploring Operation: 36+10=46, Resulting Numbers: [28, 37, 46] Generated Node #2: [28, 37, 46] from Operation: 36+10=46 Current State: 37:[28, 37, 46], Operations: ['36+10=46'] Exploring Operation: 37-28=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 37-28=9 Current State: 37:[46, 9], Operations: ['36+10=46', '37-28=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 84, 46, 24, 20 ]
86
[ "84+46=130", "24+20=44", "130-44=86" ]
Current State: 86:[84, 46, 24, 20], Operations: [] Exploring Operation: 84+46=130, Resulting Numbers: [24, 20, 130] Generated Node #2: [24, 20, 130] from Operation: 84+46=130 Current State: 86:[24, 20, 130], Operations: ['84+46=130'] Exploring Operation: 24+20=44, Resulting Numbers: [130, 44] Generated Node #3: [130, 44] from Operation: 24+20=44 Current State: 86:[130, 44], Operations: ['84+46=130', '24+20=44'] Exploring Operation: 130-44=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 9, 3, 54, 25 ]
48
[ "9+25=34", "3*34=102", "102-54=48" ]
Current State: 48:[9, 3, 54, 25], Operations: [] Exploring Operation: 9+25=34, Resulting Numbers: [3, 54, 34] Generated Node #2: [3, 54, 34] from Operation: 9+25=34 Current State: 48:[3, 54, 34], Operations: ['9+25=34'] Exploring Operation: 3*34=102, Resulting Numbers: [54, 102] Generated Node #3: [54, 102] from Operation: 3*34=102 Current State: 48:[54, 102], Operations: ['9+25=34', '3*34=102'] Exploring Operation: 102-54=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 69, 48, 32, 13 ]
33
[ "69*32=2208", "2208/48=46", "46-13=33" ]
Current State: 33:[69, 48, 32, 13], Operations: [] Exploring Operation: 69*32=2208, Resulting Numbers: [48, 13, 2208] Generated Node #2: [48, 13, 2208] from Operation: 69*32=2208 Current State: 33:[48, 13, 2208], Operations: ['69*32=2208'] Exploring Operation: 2208/48=46, Resulting Numbers: [13, 46] Generated Node #3: [13, 46] from Operation: 2208/48=46 Current State: 33:[13, 46], Operations: ['69*32=2208', '2208/48=46'] Exploring Operation: 46-13=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 39, 60, 6 ]
57
[ "8+39=47", "60/6=10", "47+10=57" ]
Current State: 57:[8, 39, 60, 6], Operations: [] Exploring Operation: 8+39=47, Resulting Numbers: [60, 6, 47] Generated Node #2: [60, 6, 47] from Operation: 8+39=47 Current State: 57:[60, 6, 47], Operations: ['8+39=47'] Exploring Operation: 60/6=10, Resulting Numbers: [47, 10] Generated Node #3: [47, 10] from Operation: 60/6=10 Current State: 57:[47, 10], Operations: ['8+39=47', '60/6=10'] Exploring Operation: 47+10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 88, 72, 95, 42 ]
37
[ "88-72=16", "95-42=53", "53-16=37" ]
Current State: 37:[88, 72, 95, 42], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [95, 42, 16] Generated Node #2: [95, 42, 16] from Operation: 88-72=16 Current State: 37:[95, 42, 16], Operations: ['88-72=16'] Exploring Operation: 95-42=53, Resulting Numbers: [16, 53] Generated Node #3: [16, 53] from Operation: 95-42=53 Current State: 37:[16, 53], Operations: ['88-72=16', '95-42=53'] Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 98, 68, 6 ]
14
[ "30*6=180", "98+68=166", "180-166=14" ]
Current State: 14:[30, 98, 68, 6], Operations: [] Exploring Operation: 30*6=180, Resulting Numbers: [98, 68, 180] Generated Node #2: [98, 68, 180] from Operation: 30*6=180 Current State: 14:[98, 68, 180], Operations: ['30*6=180'] Exploring Operation: 98+68=166, Resulting Numbers: [180, 166] Generated Node #3: [180, 166] from Operation: 98+68=166 Current State: 14:[180, 166], Operations: ['30*6=180', '98+68=166'] Exploring Operation: 180-166=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 89, 1, 36 ]
32
[ "89-84=5", "1+36=37", "37-5=32" ]
Current State: 32:[84, 89, 1, 36], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [1, 36, 5] Generated Node #2: [1, 36, 5] from Operation: 89-84=5 Current State: 32:[1, 36, 5], Operations: ['89-84=5'] Exploring Operation: 1+36=37, Resulting Numbers: [5, 37] Generated Node #3: [5, 37] from Operation: 1+36=37 Current State: 32:[5, 37], Operations: ['89-84=5', '1+36=37'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 51, 17, 35 ]
79
[ "78-51=27", "17+35=52", "27+52=79" ]
Current State: 79:[78, 51, 17, 35], Operations: [] Exploring Operation: 78-51=27, Resulting Numbers: [17, 35, 27] Generated Node #2: [17, 35, 27] from Operation: 78-51=27 Current State: 79:[17, 35, 27], Operations: ['78-51=27'] Exploring Operation: 17+35=52, Resulting Numbers: [27, 52] Generated Node #3: [27, 52] from Operation: 17+35=52 Current State: 79:[27, 52], Operations: ['78-51=27', '17+35=52'] Exploring Operation: 27+52=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 37, 65, 18, 87 ]
33
[ "37+65=102", "87-18=69", "102-69=33" ]
Current State: 33:[37, 65, 18, 87], Operations: [] Exploring Operation: 37+65=102, Resulting Numbers: [18, 87, 102] Generated Node #2: [18, 87, 102] from Operation: 37+65=102 Current State: 33:[18, 87, 102], Operations: ['37+65=102'] Exploring Operation: 87-18=69, Resulting Numbers: [102, 69] Generated Node #3: [102, 69] from Operation: 87-18=69 Current State: 33:[102, 69], Operations: ['37+65=102', '87-18=69'] Exploring Operation: 102-69=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 78, 45, 50, 26 ]
98
[ "78/26=3", "45+50=95", "3+95=98" ]
Current State: 98:[78, 45, 50, 26], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [45, 50, 3] Generated Node #2: [45, 50, 3] from Operation: 78/26=3 Current State: 98:[45, 50, 3], Operations: ['78/26=3'] Exploring Operation: 45+50=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 45+50=95 Current State: 98:[3, 95], Operations: ['78/26=3', '45+50=95'] Exploring Operation: 3+95=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 95, 66, 63, 81 ]
42
[ "95-81=14", "66-63=3", "14*3=42" ]
Current State: 42:[95, 66, 63, 81], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [66, 63, 14] Generated Node #2: [66, 63, 14] from Operation: 95-81=14 Current State: 42:[66, 63, 14], Operations: ['95-81=14'] Exploring Operation: 66-63=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 66-63=3 Current State: 42:[14, 3], Operations: ['95-81=14', '66-63=3'] Exploring Operation: 14*3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 36, 12, 4, 37 ]
70
[ "36+37=73", "12/4=3", "73-3=70" ]
Current State: 70:[36, 12, 4, 37], Operations: [] Exploring Operation: 36+37=73, Resulting Numbers: [12, 4, 73] Generated Node #2: [12, 4, 73] from Operation: 36+37=73 Current State: 70:[12, 4, 73], Operations: ['36+37=73'] Exploring Operation: 12/4=3, Resulting Numbers: [73, 3] Generated Node #3: [73, 3] from Operation: 12/4=3 Current State: 70:[73, 3], Operations: ['36+37=73', '12/4=3'] Exploring Operation: 73-3=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 12, 32, 17 ]
42
[ "17-12=5", "2*5=10", "32+10=42" ]
Current State: 42:[2, 12, 32, 17], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [2, 32, 5] Generated Node #2: [2, 32, 5] from Operation: 17-12=5 Current State: 42:[2, 32, 5], Operations: ['17-12=5'] Exploring Operation: 2*5=10, Resulting Numbers: [32, 10] Generated Node #3: [32, 10] from Operation: 2*5=10 Current State: 42:[32, 10], Operations: ['17-12=5', '2*5=10'] Exploring Operation: 32+10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 33, 90, 63 ]
33
[ "90-26=64", "64-63=1", "33*1=33" ]
Current State: 33:[26, 33, 90, 63], Operations: [] Exploring Operation: 90-26=64, Resulting Numbers: [33, 63, 64] Generated Node #2: [33, 63, 64] from Operation: 90-26=64 Current State: 33:[33, 63, 64], Operations: ['90-26=64'] Exploring Operation: 64-63=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 64-63=1 Current State: 33:[33, 1], Operations: ['90-26=64', '64-63=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 3, 3, 80, 39 ]
39
[ "3-3=0", "80*0=0", "39+0=39" ]
Current State: 39:[3, 3, 80, 39], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [80, 39, 0] Generated Node #2: [80, 39, 0] from Operation: 3-3=0 Current State: 39:[80, 39, 0], Operations: ['3-3=0'] Exploring Operation: 80*0=0, Resulting Numbers: [39, 0] Generated Node #3: [39, 0] from Operation: 80*0=0 Current State: 39:[39, 0], Operations: ['3-3=0', '80*0=0'] Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 5, 69, 41 ]
83
[ "50+5=55", "69-41=28", "55+28=83" ]
Current State: 83:[50, 5, 69, 41], Operations: [] Exploring Operation: 50+5=55, Resulting Numbers: [69, 41, 55] Generated Node #2: [69, 41, 55] from Operation: 50+5=55 Current State: 83:[69, 41, 55], Operations: ['50+5=55'] Exploring Operation: 69-41=28, Resulting Numbers: [55, 28] Generated Node #3: [55, 28] from Operation: 69-41=28 Current State: 83:[55, 28], Operations: ['50+5=55', '69-41=28'] Exploring Operation: 55+28=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 7, 5, 16, 55 ]
35
[ "7*55=385", "16-5=11", "385/11=35" ]
Current State: 35:[7, 5, 16, 55], Operations: [] Exploring Operation: 7*55=385, Resulting Numbers: [5, 16, 385] Generated Node #2: [5, 16, 385] from Operation: 7*55=385 Current State: 35:[5, 16, 385], Operations: ['7*55=385'] Exploring Operation: 16-5=11, Resulting Numbers: [385, 11] Generated Node #3: [385, 11] from Operation: 16-5=11 Current State: 35:[385, 11], Operations: ['7*55=385', '16-5=11'] Exploring Operation: 385/11=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 17, 62, 54, 9 ]
55
[ "62-54=8", "9*8=72", "72-17=55" ]
Current State: 55:[17, 62, 54, 9], Operations: [] Exploring Operation: 62-54=8, Resulting Numbers: [17, 9, 8] Generated Node #2: [17, 9, 8] from Operation: 62-54=8 Current State: 55:[17, 9, 8], Operations: ['62-54=8'] Exploring Operation: 9*8=72, Resulting Numbers: [17, 72] Generated Node #3: [17, 72] from Operation: 9*8=72 Current State: 55:[17, 72], Operations: ['62-54=8', '9*8=72'] Exploring Operation: 72-17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 92, 19, 30, 32 ]
49
[ "92+19=111", "30+32=62", "111-62=49" ]
Current State: 49:[92, 19, 30, 32], Operations: [] Exploring Operation: 92+19=111, Resulting Numbers: [30, 32, 111] Generated Node #2: [30, 32, 111] from Operation: 92+19=111 Current State: 49:[30, 32, 111], Operations: ['92+19=111'] Exploring Operation: 30+32=62, Resulting Numbers: [111, 62] Generated Node #3: [111, 62] from Operation: 30+32=62 Current State: 49:[111, 62], Operations: ['92+19=111', '30+32=62'] Exploring Operation: 111-62=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 90, 51, 3, 55 ]
26
[ "90/3=30", "55-51=4", "30-4=26" ]
Current State: 26:[90, 51, 3, 55], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [51, 55, 30] Generated Node #2: [51, 55, 30] from Operation: 90/3=30 Current State: 26:[51, 55, 30], Operations: ['90/3=30'] Exploring Operation: 55-51=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 55-51=4 Current State: 26:[30, 4], Operations: ['90/3=30', '55-51=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 84, 36, 64, 90 ]
74
[ "84-36=48", "90-64=26", "48+26=74" ]
Current State: 74:[84, 36, 64, 90], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [64, 90, 48] Generated Node #2: [64, 90, 48] from Operation: 84-36=48 Current State: 74:[64, 90, 48], Operations: ['84-36=48'] Exploring Operation: 90-64=26, Resulting Numbers: [48, 26] Generated Node #3: [48, 26] from Operation: 90-64=26 Current State: 74:[48, 26], Operations: ['84-36=48', '90-64=26'] Exploring Operation: 48+26=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 27, 32, 57, 12 ]
64
[ "32-27=5", "57+12=69", "69-5=64" ]
Current State: 64:[27, 32, 57, 12], Operations: [] Exploring Operation: 32-27=5, Resulting Numbers: [57, 12, 5] Generated Node #2: [57, 12, 5] from Operation: 32-27=5 Current State: 64:[57, 12, 5], Operations: ['32-27=5'] Exploring Operation: 57+12=69, Resulting Numbers: [5, 69] Generated Node #3: [5, 69] from Operation: 57+12=69 Current State: 64:[5, 69], Operations: ['32-27=5', '57+12=69'] Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 32, 39, 96, 3 ]
39
[ "32+39=71", "96/3=32", "71-32=39" ]
Current State: 39:[32, 39, 96, 3], Operations: [] Exploring Operation: 32+39=71, Resulting Numbers: [96, 3, 71] Generated Node #2: [96, 3, 71] from Operation: 32+39=71 Current State: 39:[96, 3, 71], Operations: ['32+39=71'] Exploring Operation: 96/3=32, Resulting Numbers: [71, 32] Generated Node #3: [71, 32] from Operation: 96/3=32 Current State: 39:[71, 32], Operations: ['32+39=71', '96/3=32'] Exploring Operation: 71-32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 66, 92, 18 ]
86
[ "66/22=3", "18/3=6", "92-6=86" ]
Current State: 86:[22, 66, 92, 18], Operations: [] Exploring Operation: 66/22=3, Resulting Numbers: [92, 18, 3] Generated Node #2: [92, 18, 3] from Operation: 66/22=3 Current State: 86:[92, 18, 3], Operations: ['66/22=3'] Exploring Operation: 18/3=6, Resulting Numbers: [92, 6] Generated Node #3: [92, 6] from Operation: 18/3=6 Current State: 86:[92, 6], Operations: ['66/22=3', '18/3=6'] Exploring Operation: 92-6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 71, 80, 90, 75 ]
25
[ "80*90=7200", "7200/75=96", "96-71=25" ]
Current State: 25:[71, 80, 90, 75], Operations: [] Exploring Operation: 80*90=7200, Resulting Numbers: [71, 75, 7200] Generated Node #2: [71, 75, 7200] from Operation: 80*90=7200 Current State: 25:[71, 75, 7200], Operations: ['80*90=7200'] Exploring Operation: 7200/75=96, Resulting Numbers: [71, 96] Generated Node #3: [71, 96] from Operation: 7200/75=96 Current State: 25:[71, 96], Operations: ['80*90=7200', '7200/75=96'] Exploring Operation: 96-71=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 68, 2, 3, 25 ]
56
[ "68/2=34", "25-3=22", "34+22=56" ]
Current State: 56:[68, 2, 3, 25], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [3, 25, 34] Generated Node #2: [3, 25, 34] from Operation: 68/2=34 Current State: 56:[3, 25, 34], Operations: ['68/2=34'] Exploring Operation: 25-3=22, Resulting Numbers: [34, 22] Generated Node #3: [34, 22] from Operation: 25-3=22 Current State: 56:[34, 22], Operations: ['68/2=34', '25-3=22'] Exploring Operation: 34+22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 50, 6, 57 ]
14
[ "6/3=2", "57-50=7", "2*7=14" ]
Current State: 14:[3, 50, 6, 57], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [50, 57, 2] Generated Node #2: [50, 57, 2] from Operation: 6/3=2 Current State: 14:[50, 57, 2], Operations: ['6/3=2'] Exploring Operation: 57-50=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 57-50=7 Current State: 14:[2, 7], Operations: ['6/3=2', '57-50=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 50, 48, 33, 47 ]
84
[ "50+48=98", "47-33=14", "98-14=84" ]
Current State: 84:[50, 48, 33, 47], Operations: [] Exploring Operation: 50+48=98, Resulting Numbers: [33, 47, 98] Generated Node #2: [33, 47, 98] from Operation: 50+48=98 Current State: 84:[33, 47, 98], Operations: ['50+48=98'] Exploring Operation: 47-33=14, Resulting Numbers: [98, 14] Generated Node #3: [98, 14] from Operation: 47-33=14 Current State: 84:[98, 14], Operations: ['50+48=98', '47-33=14'] Exploring Operation: 98-14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 99, 61, 72, 51 ]
59
[ "99-61=38", "72-51=21", "38+21=59" ]
Current State: 59:[99, 61, 72, 51], Operations: [] Exploring Operation: 99-61=38, Resulting Numbers: [72, 51, 38] Generated Node #2: [72, 51, 38] from Operation: 99-61=38 Current State: 59:[72, 51, 38], Operations: ['99-61=38'] Exploring Operation: 72-51=21, Resulting Numbers: [38, 21] Generated Node #3: [38, 21] from Operation: 72-51=21 Current State: 59:[38, 21], Operations: ['99-61=38', '72-51=21'] Exploring Operation: 38+21=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 75, 31, 91, 72 ]
90
[ "75*72=5400", "91-31=60", "5400/60=90" ]
Current State: 90:[75, 31, 91, 72], Operations: [] Exploring Operation: 75*72=5400, Resulting Numbers: [31, 91, 5400] Generated Node #2: [31, 91, 5400] from Operation: 75*72=5400 Current State: 90:[31, 91, 5400], Operations: ['75*72=5400'] Exploring Operation: 91-31=60, Resulting Numbers: [5400, 60] Generated Node #3: [5400, 60] from Operation: 91-31=60 Current State: 90:[5400, 60], Operations: ['75*72=5400', '91-31=60'] Exploring Operation: 5400/60=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 70, 20, 14, 4 ]
79
[ "70+14=84", "20/4=5", "84-5=79" ]
Current State: 79:[70, 20, 14, 4], Operations: [] Exploring Operation: 70+14=84, Resulting Numbers: [20, 4, 84] Generated Node #2: [20, 4, 84] from Operation: 70+14=84 Current State: 79:[20, 4, 84], Operations: ['70+14=84'] Exploring Operation: 20/4=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 20/4=5 Current State: 79:[84, 5], Operations: ['70+14=84', '20/4=5'] Exploring Operation: 84-5=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 2, 6, 78, 26 ]
85
[ "26/2=13", "78-6=72", "13+72=85" ]
Current State: 85:[2, 6, 78, 26], Operations: [] Exploring Operation: 26/2=13, Resulting Numbers: [6, 78, 13] Generated Node #2: [6, 78, 13] from Operation: 26/2=13 Current State: 85:[6, 78, 13], Operations: ['26/2=13'] Exploring Operation: 78-6=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 78-6=72 Current State: 85:[13, 72], Operations: ['26/2=13', '78-6=72'] Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 2, 7, 92, 12 ]
47
[ "92-12=80", "80/2=40", "7+40=47" ]
Current State: 47:[2, 7, 92, 12], Operations: [] Exploring Operation: 92-12=80, Resulting Numbers: [2, 7, 80] Generated Node #2: [2, 7, 80] from Operation: 92-12=80 Current State: 47:[2, 7, 80], Operations: ['92-12=80'] Exploring Operation: 80/2=40, Resulting Numbers: [7, 40] Generated Node #3: [7, 40] from Operation: 80/2=40 Current State: 47:[7, 40], Operations: ['92-12=80', '80/2=40'] Exploring Operation: 7+40=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 4, 28, 45, 60 ]
81
[ "28-4=24", "45+60=105", "105-24=81" ]
Current State: 81:[4, 28, 45, 60], Operations: [] Exploring Operation: 28-4=24, Resulting Numbers: [45, 60, 24] Generated Node #2: [45, 60, 24] from Operation: 28-4=24 Current State: 81:[45, 60, 24], Operations: ['28-4=24'] Exploring Operation: 45+60=105, Resulting Numbers: [24, 105] Generated Node #3: [24, 105] from Operation: 45+60=105 Current State: 81:[24, 105], Operations: ['28-4=24', '45+60=105'] Exploring Operation: 105-24=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 53, 43, 50 ]
22
[ "53-50=3", "7*3=21", "43-21=22" ]
Current State: 22:[7, 53, 43, 50], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [7, 43, 3] Generated Node #2: [7, 43, 3] from Operation: 53-50=3 Current State: 22:[7, 43, 3], Operations: ['53-50=3'] Exploring Operation: 7*3=21, Resulting Numbers: [43, 21] Generated Node #3: [43, 21] from Operation: 7*3=21 Current State: 22:[43, 21], Operations: ['53-50=3', '7*3=21'] Exploring Operation: 43-21=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 59, 45, 8 ]
70
[ "59-42=17", "45+8=53", "17+53=70" ]
Current State: 70:[42, 59, 45, 8], Operations: [] Exploring Operation: 59-42=17, Resulting Numbers: [45, 8, 17] Generated Node #2: [45, 8, 17] from Operation: 59-42=17 Current State: 70:[45, 8, 17], Operations: ['59-42=17'] Exploring Operation: 45+8=53, Resulting Numbers: [17, 53] Generated Node #3: [17, 53] from Operation: 45+8=53 Current State: 70:[17, 53], Operations: ['59-42=17', '45+8=53'] Exploring Operation: 17+53=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 1, 34, 88, 86 ]
36
[ "1*34=34", "88-86=2", "34+2=36" ]
Current State: 36:[1, 34, 88, 86], Operations: [] Exploring Operation: 1*34=34, Resulting Numbers: [88, 86, 34] Generated Node #2: [88, 86, 34] from Operation: 1*34=34 Current State: 36:[88, 86, 34], Operations: ['1*34=34'] Exploring Operation: 88-86=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 88-86=2 Current State: 36:[34, 2], Operations: ['1*34=34', '88-86=2'] Exploring Operation: 34+2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 69, 75, 50, 4 ]
60
[ "75-69=6", "50+4=54", "6+54=60" ]
Current State: 60:[69, 75, 50, 4], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [50, 4, 6] Generated Node #2: [50, 4, 6] from Operation: 75-69=6 Current State: 60:[50, 4, 6], Operations: ['75-69=6'] Exploring Operation: 50+4=54, Resulting Numbers: [6, 54] Generated Node #3: [6, 54] from Operation: 50+4=54 Current State: 60:[6, 54], Operations: ['75-69=6', '50+4=54'] Exploring Operation: 6+54=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 59, 50, 19, 52 ]
97
[ "52-50=2", "19*2=38", "59+38=97" ]
Current State: 97:[59, 50, 19, 52], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [59, 19, 2] Generated Node #2: [59, 19, 2] from Operation: 52-50=2 Current State: 97:[59, 19, 2], Operations: ['52-50=2'] Exploring Operation: 19*2=38, Resulting Numbers: [59, 38] Generated Node #3: [59, 38] from Operation: 19*2=38 Current State: 97:[59, 38], Operations: ['52-50=2', '19*2=38'] Exploring Operation: 59+38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 66, 56, 89, 21 ]
12
[ "66+56=122", "89+21=110", "122-110=12" ]
Current State: 12:[66, 56, 89, 21], Operations: [] Exploring Operation: 66+56=122, Resulting Numbers: [89, 21, 122] Generated Node #2: [89, 21, 122] from Operation: 66+56=122 Current State: 12:[89, 21, 122], Operations: ['66+56=122'] Exploring Operation: 89+21=110, Resulting Numbers: [122, 110] Generated Node #3: [122, 110] from Operation: 89+21=110 Current State: 12:[122, 110], Operations: ['66+56=122', '89+21=110'] Exploring Operation: 122-110=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 93, 39, 39, 99 ]
13
[ "99-93=6", "39+39=78", "78/6=13" ]
Current State: 13:[93, 39, 39, 99], Operations: [] Exploring Operation: 99-93=6, Resulting Numbers: [39, 39, 6] Generated Node #2: [39, 39, 6] from Operation: 99-93=6 Current State: 13:[39, 39, 6], Operations: ['99-93=6'] Exploring Operation: 39+39=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 39+39=78 Current State: 13:[6, 78], Operations: ['99-93=6', '39+39=78'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 86, 49, 4, 58 ]
63
[ "86-58=28", "4*28=112", "112-49=63" ]
Current State: 63:[86, 49, 4, 58], Operations: [] Exploring Operation: 86-58=28, Resulting Numbers: [49, 4, 28] Generated Node #2: [49, 4, 28] from Operation: 86-58=28 Current State: 63:[49, 4, 28], Operations: ['86-58=28'] Exploring Operation: 4*28=112, Resulting Numbers: [49, 112] Generated Node #3: [49, 112] from Operation: 4*28=112 Current State: 63:[49, 112], Operations: ['86-58=28', '4*28=112'] Exploring Operation: 112-49=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 72, 63, 47 ]
75
[ "19+72=91", "63-47=16", "91-16=75" ]
Current State: 75:[19, 72, 63, 47], Operations: [] Exploring Operation: 19+72=91, Resulting Numbers: [63, 47, 91] Generated Node #2: [63, 47, 91] from Operation: 19+72=91 Current State: 75:[63, 47, 91], Operations: ['19+72=91'] Exploring Operation: 63-47=16, Resulting Numbers: [91, 16] Generated Node #3: [91, 16] from Operation: 63-47=16 Current State: 75:[91, 16], Operations: ['19+72=91', '63-47=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 68, 35, 70, 66 ]
29
[ "68-35=33", "70-66=4", "33-4=29" ]
Current State: 29:[68, 35, 70, 66], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [70, 66, 33] Generated Node #2: [70, 66, 33] from Operation: 68-35=33 Current State: 29:[70, 66, 33], Operations: ['68-35=33'] Exploring Operation: 70-66=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 70-66=4 Current State: 29:[33, 4], Operations: ['68-35=33', '70-66=4'] Exploring Operation: 33-4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 80, 42, 10, 65 ]
17
[ "80-42=38", "65-10=55", "55-38=17" ]
Current State: 17:[80, 42, 10, 65], Operations: [] Exploring Operation: 80-42=38, Resulting Numbers: [10, 65, 38] Generated Node #2: [10, 65, 38] from Operation: 80-42=38 Current State: 17:[10, 65, 38], Operations: ['80-42=38'] Exploring Operation: 65-10=55, Resulting Numbers: [38, 55] Generated Node #3: [38, 55] from Operation: 65-10=55 Current State: 17:[38, 55], Operations: ['80-42=38', '65-10=55'] Exploring Operation: 55-38=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 68, 64, 40, 48 ]
70
[ "64-40=24", "48/24=2", "68+2=70" ]
Current State: 70:[68, 64, 40, 48], Operations: [] Exploring Operation: 64-40=24, Resulting Numbers: [68, 48, 24] Generated Node #2: [68, 48, 24] from Operation: 64-40=24 Current State: 70:[68, 48, 24], Operations: ['64-40=24'] Exploring Operation: 48/24=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 48/24=2 Current State: 70:[68, 2], Operations: ['64-40=24', '48/24=2'] Exploring Operation: 68+2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 9, 2, 57, 1 ]
66
[ "9+57=66", "2-1=1", "66*1=66" ]
Current State: 66:[9, 2, 57, 1], Operations: [] Exploring Operation: 9+57=66, Resulting Numbers: [2, 1, 66] Generated Node #2: [2, 1, 66] from Operation: 9+57=66 Current State: 66:[2, 1, 66], Operations: ['9+57=66'] Exploring Operation: 2-1=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 2-1=1 Current State: 66:[66, 1], Operations: ['9+57=66', '2-1=1'] Exploring Operation: 66*1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 44, 80, 77, 79 ]
58
[ "79-77=2", "44/2=22", "80-22=58" ]
Current State: 58:[44, 80, 77, 79], Operations: [] Exploring Operation: 79-77=2, Resulting Numbers: [44, 80, 2] Generated Node #2: [44, 80, 2] from Operation: 79-77=2 Current State: 58:[44, 80, 2], Operations: ['79-77=2'] Exploring Operation: 44/2=22, Resulting Numbers: [80, 22] Generated Node #3: [80, 22] from Operation: 44/2=22 Current State: 58:[80, 22], Operations: ['79-77=2', '44/2=22'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 96, 12, 56 ]
91
[ "27+56=83", "96/12=8", "83+8=91" ]
Current State: 91:[27, 96, 12, 56], Operations: [] Exploring Operation: 27+56=83, Resulting Numbers: [96, 12, 83] Generated Node #2: [96, 12, 83] from Operation: 27+56=83 Current State: 91:[96, 12, 83], Operations: ['27+56=83'] Exploring Operation: 96/12=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 96/12=8 Current State: 91:[83, 8], Operations: ['27+56=83', '96/12=8'] Exploring Operation: 83+8=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 65, 74, 1, 96 ]
88
[ "74-65=9", "1+96=97", "97-9=88" ]
Current State: 88:[65, 74, 1, 96], Operations: [] Exploring Operation: 74-65=9, Resulting Numbers: [1, 96, 9] Generated Node #2: [1, 96, 9] from Operation: 74-65=9 Current State: 88:[1, 96, 9], Operations: ['74-65=9'] Exploring Operation: 1+96=97, Resulting Numbers: [9, 97] Generated Node #3: [9, 97] from Operation: 1+96=97 Current State: 88:[9, 97], Operations: ['74-65=9', '1+96=97'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 61, 26, 93, 48 ]
39
[ "93-61=32", "26*48=1248", "1248/32=39" ]
Current State: 39:[61, 26, 93, 48], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [26, 48, 32] Generated Node #2: [26, 48, 32] from Operation: 93-61=32 Current State: 39:[26, 48, 32], Operations: ['93-61=32'] Exploring Operation: 26*48=1248, Resulting Numbers: [32, 1248] Generated Node #3: [32, 1248] from Operation: 26*48=1248 Current State: 39:[32, 1248], Operations: ['93-61=32', '26*48=1248'] Exploring Operation: 1248/32=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 57, 13, 11, 52 ]
34
[ "57+52=109", "13*11=143", "143-109=34" ]
Current State: 34:[57, 13, 11, 52], Operations: [] Exploring Operation: 57+52=109, Resulting Numbers: [13, 11, 109] Generated Node #2: [13, 11, 109] from Operation: 57+52=109 Current State: 34:[13, 11, 109], Operations: ['57+52=109'] Exploring Operation: 13*11=143, Resulting Numbers: [109, 143] Generated Node #3: [109, 143] from Operation: 13*11=143 Current State: 34:[109, 143], Operations: ['57+52=109', '13*11=143'] Exploring Operation: 143-109=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 63, 75, 90, 55 ]
23
[ "75-63=12", "90-55=35", "35-12=23" ]
Current State: 23:[63, 75, 90, 55], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [90, 55, 12] Generated Node #2: [90, 55, 12] from Operation: 75-63=12 Current State: 23:[90, 55, 12], Operations: ['75-63=12'] Exploring Operation: 90-55=35, Resulting Numbers: [12, 35] Generated Node #3: [12, 35] from Operation: 90-55=35 Current State: 23:[12, 35], Operations: ['75-63=12', '90-55=35'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 43, 13, 90, 99 ]
65
[ "43+13=56", "99-90=9", "56+9=65" ]
Current State: 65:[43, 13, 90, 99], Operations: [] Exploring Operation: 43+13=56, Resulting Numbers: [90, 99, 56] Generated Node #2: [90, 99, 56] from Operation: 43+13=56 Current State: 65:[90, 99, 56], Operations: ['43+13=56'] Exploring Operation: 99-90=9, Resulting Numbers: [56, 9] Generated Node #3: [56, 9] from Operation: 99-90=9 Current State: 65:[56, 9], Operations: ['43+13=56', '99-90=9'] Exploring Operation: 56+9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 53, 61, 96, 70 ]
52
[ "53+61=114", "96+70=166", "166-114=52" ]
Current State: 52:[53, 61, 96, 70], Operations: [] Exploring Operation: 53+61=114, Resulting Numbers: [96, 70, 114] Generated Node #2: [96, 70, 114] from Operation: 53+61=114 Current State: 52:[96, 70, 114], Operations: ['53+61=114'] Exploring Operation: 96+70=166, Resulting Numbers: [114, 166] Generated Node #3: [114, 166] from Operation: 96+70=166 Current State: 52:[114, 166], Operations: ['53+61=114', '96+70=166'] Exploring Operation: 166-114=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 24, 22, 14 ]
48
[ "24-22=2", "31*2=62", "62-14=48" ]
Current State: 48:[31, 24, 22, 14], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [31, 14, 2] Generated Node #2: [31, 14, 2] from Operation: 24-22=2 Current State: 48:[31, 14, 2], Operations: ['24-22=2'] Exploring Operation: 31*2=62, Resulting Numbers: [14, 62] Generated Node #3: [14, 62] from Operation: 31*2=62 Current State: 48:[14, 62], Operations: ['24-22=2', '31*2=62'] Exploring Operation: 62-14=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 86, 97, 96, 14 ]
99
[ "97-86=11", "96+14=110", "110-11=99" ]
Current State: 99:[86, 97, 96, 14], Operations: [] Exploring Operation: 97-86=11, Resulting Numbers: [96, 14, 11] Generated Node #2: [96, 14, 11] from Operation: 97-86=11 Current State: 99:[96, 14, 11], Operations: ['97-86=11'] Exploring Operation: 96+14=110, Resulting Numbers: [11, 110] Generated Node #3: [11, 110] from Operation: 96+14=110 Current State: 99:[11, 110], Operations: ['97-86=11', '96+14=110'] Exploring Operation: 110-11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 78, 57, 57, 14 ]
64
[ "78+57=135", "57+14=71", "135-71=64" ]
Current State: 64:[78, 57, 57, 14], Operations: [] Exploring Operation: 78+57=135, Resulting Numbers: [14, 135] Generated Node #2: [14, 135] from Operation: 78+57=135 Current State: 64:[14, 135], Operations: ['78+57=135'] Exploring Operation: 57+14=71, Resulting Numbers: [135, 71] Generated Node #3: [135, 71] from Operation: 57+14=71 Current State: 64:[135, 71], Operations: ['78+57=135', '57+14=71'] Exploring Operation: 135-71=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4