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
[ 9, 28, 99, 95 ]
16
[ "99-95=4", "28/4=7", "9+7=16" ]
Current State: 16:[9, 28, 99, 95], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [9, 28, 4] Generated Node #2: [9, 28, 4] from Operation: 99-95=4 Current State: 16:[9, 28, 4], Operations: ['99-95=4'] Exploring Operation: 28/4=7, Resulting Numbers: [9, 7] Generated Node #3: [9, 7] from Operation: 28/4=7 Current State: 16:[9, 7], Operations: ['99-95=4', '28/4=7'] Exploring Operation: 9+7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 37, 26, 91, 9 ]
89
[ "37-26=11", "91+9=100", "100-11=89" ]
Current State: 89:[37, 26, 91, 9], Operations: [] Exploring Operation: 37-26=11, Resulting Numbers: [91, 9, 11] Generated Node #2: [91, 9, 11] from Operation: 37-26=11 Current State: 89:[91, 9, 11], Operations: ['37-26=11'] Exploring Operation: 91+9=100, Resulting Numbers: [11, 100] Generated Node #3: [11, 100] from Operation: 91+9=100 Current State: 89:[11, 100], Operations: ['37-26=11', '91+9=100'] Exploring Operation: 100-11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 2, 43, 3 ]
51
[ "38-3=35", "2*43=86", "86-35=51" ]
Current State: 51:[38, 2, 43, 3], Operations: [] Exploring Operation: 38-3=35, Resulting Numbers: [2, 43, 35] Generated Node #2: [2, 43, 35] from Operation: 38-3=35 Current State: 51:[2, 43, 35], Operations: ['38-3=35'] Exploring Operation: 2*43=86, Resulting Numbers: [35, 86] Generated Node #3: [35, 86] from Operation: 2*43=86 Current State: 51:[35, 86], Operations: ['38-3=35', '2*43=86'] Exploring Operation: 86-35=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 40, 38, 30, 42 ]
51
[ "40-38=2", "42/2=21", "30+21=51" ]
Current State: 51:[40, 38, 30, 42], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [30, 42, 2] Generated Node #2: [30, 42, 2] from Operation: 40-38=2 Current State: 51:[30, 42, 2], Operations: ['40-38=2'] Exploring Operation: 42/2=21, Resulting Numbers: [30, 21] Generated Node #3: [30, 21] from Operation: 42/2=21 Current State: 51:[30, 21], Operations: ['40-38=2', '42/2=21'] Exploring Operation: 30+21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 47, 25, 5, 43 ]
16
[ "47-25=22", "43-5=38", "38-22=16" ]
Current State: 16:[47, 25, 5, 43], Operations: [] Exploring Operation: 47-25=22, Resulting Numbers: [5, 43, 22] Generated Node #2: [5, 43, 22] from Operation: 47-25=22 Current State: 16:[5, 43, 22], Operations: ['47-25=22'] Exploring Operation: 43-5=38, Resulting Numbers: [22, 38] Generated Node #3: [22, 38] from Operation: 43-5=38 Current State: 16:[22, 38], Operations: ['47-25=22', '43-5=38'] Exploring Operation: 38-22=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 36, 38, 22, 49 ]
60
[ "38-36=2", "22/2=11", "49+11=60" ]
Current State: 60:[36, 38, 22, 49], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [22, 49, 2] Generated Node #2: [22, 49, 2] from Operation: 38-36=2 Current State: 60:[22, 49, 2], Operations: ['38-36=2'] Exploring Operation: 22/2=11, Resulting Numbers: [49, 11] Generated Node #3: [49, 11] from Operation: 22/2=11 Current State: 60:[49, 11], Operations: ['38-36=2', '22/2=11'] Exploring Operation: 49+11=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 61, 68, 72, 15 ]
94
[ "68-61=7", "72+15=87", "7+87=94" ]
Current State: 94:[61, 68, 72, 15], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [72, 15, 7] Generated Node #2: [72, 15, 7] from Operation: 68-61=7 Current State: 94:[72, 15, 7], Operations: ['68-61=7'] Exploring Operation: 72+15=87, Resulting Numbers: [7, 87] Generated Node #3: [7, 87] from Operation: 72+15=87 Current State: 94:[7, 87], Operations: ['68-61=7', '72+15=87'] Exploring Operation: 7+87=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 2, 10, 15 ]
81
[ "76-15=61", "2*10=20", "61+20=81" ]
Current State: 81:[76, 2, 10, 15], Operations: [] Exploring Operation: 76-15=61, Resulting Numbers: [2, 10, 61] Generated Node #2: [2, 10, 61] from Operation: 76-15=61 Current State: 81:[2, 10, 61], Operations: ['76-15=61'] Exploring Operation: 2*10=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 2*10=20 Current State: 81:[61, 20], Operations: ['76-15=61', '2*10=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 1, 64, 1, 59 ]
69
[ "1+1=2", "64*2=128", "128-59=69" ]
Current State: 69:[1, 64, 1, 59], Operations: [] Exploring Operation: 1+1=2, Resulting Numbers: [64, 59, 2] Generated Node #2: [64, 59, 2] from Operation: 1+1=2 Current State: 69:[64, 59, 2], Operations: ['1+1=2'] Exploring Operation: 64*2=128, Resulting Numbers: [59, 128] Generated Node #3: [59, 128] from Operation: 64*2=128 Current State: 69:[59, 128], Operations: ['1+1=2', '64*2=128'] Exploring Operation: 128-59=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 28, 92, 29, 78 ]
43
[ "92-28=64", "29+78=107", "107-64=43" ]
Current State: 43:[28, 92, 29, 78], Operations: [] Exploring Operation: 92-28=64, Resulting Numbers: [29, 78, 64] Generated Node #2: [29, 78, 64] from Operation: 92-28=64 Current State: 43:[29, 78, 64], Operations: ['92-28=64'] Exploring Operation: 29+78=107, Resulting Numbers: [64, 107] Generated Node #3: [64, 107] from Operation: 29+78=107 Current State: 43:[64, 107], Operations: ['92-28=64', '29+78=107'] Exploring Operation: 107-64=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 19, 25, 91, 95 ]
34
[ "95/19=5", "25*5=125", "125-91=34" ]
Current State: 34:[19, 25, 91, 95], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [25, 91, 5] Generated Node #2: [25, 91, 5] from Operation: 95/19=5 Current State: 34:[25, 91, 5], Operations: ['95/19=5'] Exploring Operation: 25*5=125, Resulting Numbers: [91, 125] Generated Node #3: [91, 125] from Operation: 25*5=125 Current State: 34:[91, 125], Operations: ['95/19=5', '25*5=125'] Exploring Operation: 125-91=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 18, 9, 12, 99 ]
35
[ "18*12=216", "99+216=315", "315/9=35" ]
Current State: 35:[18, 9, 12, 99], Operations: [] Exploring Operation: 18*12=216, Resulting Numbers: [9, 99, 216] Generated Node #2: [9, 99, 216] from Operation: 18*12=216 Current State: 35:[9, 99, 216], Operations: ['18*12=216'] Exploring Operation: 99+216=315, Resulting Numbers: [9, 315] Generated Node #3: [9, 315] from Operation: 99+216=315 Current State: 35:[9, 315], Operations: ['18*12=216', '99+216=315'] Exploring Operation: 315/9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 7, 19, 3 ]
18
[ "22-19=3", "7*3=21", "21-3=18" ]
Current State: 18:[22, 7, 19, 3], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [7, 3, 3] Generated Node #2: [7, 3, 3] from Operation: 22-19=3 Current State: 18:[7, 3, 3], Operations: ['22-19=3'] Exploring Operation: 7*3=21, Resulting Numbers: [21] 21,18 equal: Goal Reached Exploring Operation: 21-3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 32, 80, 40 ]
76
[ "90*32=2880", "2880/80=36", "40+36=76" ]
Current State: 76:[90, 32, 80, 40], Operations: [] Exploring Operation: 90*32=2880, Resulting Numbers: [80, 40, 2880] Generated Node #2: [80, 40, 2880] from Operation: 90*32=2880 Current State: 76:[80, 40, 2880], Operations: ['90*32=2880'] Exploring Operation: 2880/80=36, Resulting Numbers: [40, 36] Generated Node #3: [40, 36] from Operation: 2880/80=36 Current State: 76:[40, 36], Operations: ['90*32=2880', '2880/80=36'] Exploring Operation: 40+36=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 4, 28, 17, 31 ]
63
[ "4+17=21", "31-28=3", "21*3=63" ]
Current State: 63:[4, 28, 17, 31], Operations: [] Exploring Operation: 4+17=21, Resulting Numbers: [28, 31, 21] Generated Node #2: [28, 31, 21] from Operation: 4+17=21 Current State: 63:[28, 31, 21], Operations: ['4+17=21'] Exploring Operation: 31-28=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 31-28=3 Current State: 63:[21, 3], Operations: ['4+17=21', '31-28=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 50, 79, 27, 87 ]
81
[ "79-50=29", "27*87=2349", "2349/29=81" ]
Current State: 81:[50, 79, 27, 87], Operations: [] Exploring Operation: 79-50=29, Resulting Numbers: [27, 87, 29] Generated Node #2: [27, 87, 29] from Operation: 79-50=29 Current State: 81:[27, 87, 29], Operations: ['79-50=29'] Exploring Operation: 27*87=2349, Resulting Numbers: [29, 2349] Generated Node #3: [29, 2349] from Operation: 27*87=2349 Current State: 81:[29, 2349], Operations: ['79-50=29', '27*87=2349'] Exploring Operation: 2349/29=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 20, 2, 45 ]
21
[ "56-45=11", "20/2=10", "11+10=21" ]
Current State: 21:[56, 20, 2, 45], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [20, 2, 11] Generated Node #2: [20, 2, 11] from Operation: 56-45=11 Current State: 21:[20, 2, 11], Operations: ['56-45=11'] Exploring Operation: 20/2=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 20/2=10 Current State: 21:[11, 10], Operations: ['56-45=11', '20/2=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 32, 86, 71, 71 ]
53
[ "86-32=54", "71/71=1", "54-1=53" ]
Current State: 53:[32, 86, 71, 71], Operations: [] Exploring Operation: 86-32=54, Resulting Numbers: [71, 71, 54] Generated Node #2: [71, 71, 54] from Operation: 86-32=54 Current State: 53:[71, 71, 54], Operations: ['86-32=54'] Exploring Operation: 71/71=1, Resulting Numbers: [54, 1] Generated Node #3: [54, 1] from Operation: 71/71=1 Current State: 53:[54, 1], Operations: ['86-32=54', '71/71=1'] Exploring Operation: 54-1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 9, 19, 19, 95 ]
46
[ "9*95=855", "19+855=874", "874/19=46" ]
Current State: 46:[9, 19, 19, 95], Operations: [] Exploring Operation: 9*95=855, Resulting Numbers: [19, 19, 855] Generated Node #2: [19, 19, 855] from Operation: 9*95=855 Current State: 46:[19, 19, 855], Operations: ['9*95=855'] Exploring Operation: 19+855=874, Resulting Numbers: [874] 874,46 equal: Goal Reached Exploring Operation: 874/19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 25, 79, 70, 2 ]
69
[ "25+79=104", "70/2=35", "104-35=69" ]
Current State: 69:[25, 79, 70, 2], Operations: [] Exploring Operation: 25+79=104, Resulting Numbers: [70, 2, 104] Generated Node #2: [70, 2, 104] from Operation: 25+79=104 Current State: 69:[70, 2, 104], Operations: ['25+79=104'] Exploring Operation: 70/2=35, Resulting Numbers: [104, 35] Generated Node #3: [104, 35] from Operation: 70/2=35 Current State: 69:[104, 35], Operations: ['25+79=104', '70/2=35'] Exploring Operation: 104-35=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 88, 68, 43, 8 ]
31
[ "88-68=20", "43+8=51", "51-20=31" ]
Current State: 31:[88, 68, 43, 8], Operations: [] Exploring Operation: 88-68=20, Resulting Numbers: [43, 8, 20] Generated Node #2: [43, 8, 20] from Operation: 88-68=20 Current State: 31:[43, 8, 20], Operations: ['88-68=20'] Exploring Operation: 43+8=51, Resulting Numbers: [20, 51] Generated Node #3: [20, 51] from Operation: 43+8=51 Current State: 31:[20, 51], Operations: ['88-68=20', '43+8=51'] Exploring Operation: 51-20=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 56, 4, 55 ]
78
[ "56-29=27", "55-4=51", "27+51=78" ]
Current State: 78:[29, 56, 4, 55], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [4, 55, 27] Generated Node #2: [4, 55, 27] from Operation: 56-29=27 Current State: 78:[4, 55, 27], Operations: ['56-29=27'] Exploring Operation: 55-4=51, Resulting Numbers: [27, 51] Generated Node #3: [27, 51] from Operation: 55-4=51 Current State: 78:[27, 51], Operations: ['56-29=27', '55-4=51'] Exploring Operation: 27+51=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 1, 8, 83 ]
90
[ "93-83=10", "1+8=9", "10*9=90" ]
Current State: 90:[93, 1, 8, 83], Operations: [] Exploring Operation: 93-83=10, Resulting Numbers: [1, 8, 10] Generated Node #2: [1, 8, 10] from Operation: 93-83=10 Current State: 90:[1, 8, 10], Operations: ['93-83=10'] Exploring Operation: 1+8=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 1+8=9 Current State: 90:[10, 9], Operations: ['93-83=10', '1+8=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 1, 51, 31, 78 ]
99
[ "1+51=52", "78-31=47", "52+47=99" ]
Current State: 99:[1, 51, 31, 78], Operations: [] Exploring Operation: 1+51=52, Resulting Numbers: [31, 78, 52] Generated Node #2: [31, 78, 52] from Operation: 1+51=52 Current State: 99:[31, 78, 52], Operations: ['1+51=52'] Exploring Operation: 78-31=47, Resulting Numbers: [52, 47] Generated Node #3: [52, 47] from Operation: 78-31=47 Current State: 99:[52, 47], Operations: ['1+51=52', '78-31=47'] Exploring Operation: 52+47=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 78, 18, 16, 37 ]
81
[ "78-18=60", "37-16=21", "60+21=81" ]
Current State: 81:[78, 18, 16, 37], Operations: [] Exploring Operation: 78-18=60, Resulting Numbers: [16, 37, 60] Generated Node #2: [16, 37, 60] from Operation: 78-18=60 Current State: 81:[16, 37, 60], Operations: ['78-18=60'] Exploring Operation: 37-16=21, Resulting Numbers: [60, 21] Generated Node #3: [60, 21] from Operation: 37-16=21 Current State: 81:[60, 21], Operations: ['78-18=60', '37-16=21'] Exploring Operation: 60+21=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 70, 79, 86 ]
68
[ "79-70=9", "2*9=18", "86-18=68" ]
Current State: 68:[2, 70, 79, 86], Operations: [] Exploring Operation: 79-70=9, Resulting Numbers: [2, 86, 9] Generated Node #2: [2, 86, 9] from Operation: 79-70=9 Current State: 68:[2, 86, 9], Operations: ['79-70=9'] Exploring Operation: 2*9=18, Resulting Numbers: [86, 18] Generated Node #3: [86, 18] from Operation: 2*9=18 Current State: 68:[86, 18], Operations: ['79-70=9', '2*9=18'] Exploring Operation: 86-18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 13, 95, 5, 89 ]
71
[ "13*5=65", "95-89=6", "65+6=71" ]
Current State: 71:[13, 95, 5, 89], Operations: [] Exploring Operation: 13*5=65, Resulting Numbers: [95, 89, 65] Generated Node #2: [95, 89, 65] from Operation: 13*5=65 Current State: 71:[95, 89, 65], Operations: ['13*5=65'] Exploring Operation: 95-89=6, Resulting Numbers: [65, 6] Generated Node #3: [65, 6] from Operation: 95-89=6 Current State: 71:[65, 6], Operations: ['13*5=65', '95-89=6'] Exploring Operation: 65+6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 79, 2, 6, 9 ]
23
[ "79-2=77", "6*9=54", "77-54=23" ]
Current State: 23:[79, 2, 6, 9], Operations: [] Exploring Operation: 79-2=77, Resulting Numbers: [6, 9, 77] Generated Node #2: [6, 9, 77] from Operation: 79-2=77 Current State: 23:[6, 9, 77], Operations: ['79-2=77'] Exploring Operation: 6*9=54, Resulting Numbers: [77, 54] Generated Node #3: [77, 54] from Operation: 6*9=54 Current State: 23:[77, 54], Operations: ['79-2=77', '6*9=54'] Exploring Operation: 77-54=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 10, 26, 39, 82 ]
97
[ "10*39=390", "390/26=15", "82+15=97" ]
Current State: 97:[10, 26, 39, 82], Operations: [] Exploring Operation: 10*39=390, Resulting Numbers: [26, 82, 390] Generated Node #2: [26, 82, 390] from Operation: 10*39=390 Current State: 97:[26, 82, 390], Operations: ['10*39=390'] Exploring Operation: 390/26=15, Resulting Numbers: [82, 15] Generated Node #3: [82, 15] from Operation: 390/26=15 Current State: 97:[82, 15], Operations: ['10*39=390', '390/26=15'] Exploring Operation: 82+15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 23, 28, 36 ]
31
[ "33+36=69", "69/23=3", "28+3=31" ]
Current State: 31:[33, 23, 28, 36], Operations: [] Exploring Operation: 33+36=69, Resulting Numbers: [23, 28, 69] Generated Node #2: [23, 28, 69] from Operation: 33+36=69 Current State: 31:[23, 28, 69], Operations: ['33+36=69'] Exploring Operation: 69/23=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 69/23=3 Current State: 31:[28, 3], Operations: ['33+36=69', '69/23=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 67, 66, 36 ]
85
[ "67-12=55", "66-36=30", "55+30=85" ]
Current State: 85:[12, 67, 66, 36], Operations: [] Exploring Operation: 67-12=55, Resulting Numbers: [66, 36, 55] Generated Node #2: [66, 36, 55] from Operation: 67-12=55 Current State: 85:[66, 36, 55], Operations: ['67-12=55'] Exploring Operation: 66-36=30, Resulting Numbers: [55, 30] Generated Node #3: [55, 30] from Operation: 66-36=30 Current State: 85:[55, 30], Operations: ['67-12=55', '66-36=30'] Exploring Operation: 55+30=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 12, 13, 8, 80 ]
88
[ "13-12=1", "8+80=88", "1*88=88" ]
Current State: 88:[12, 13, 8, 80], Operations: [] Exploring Operation: 13-12=1, Resulting Numbers: [8, 80, 1] Generated Node #2: [8, 80, 1] from Operation: 13-12=1 Current State: 88:[8, 80, 1], Operations: ['13-12=1'] Exploring Operation: 8+80=88, Resulting Numbers: [1, 88] Generated Node #3: [1, 88] from Operation: 8+80=88 Current State: 88:[1, 88], Operations: ['13-12=1', '8+80=88'] Exploring Operation: 1*88=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 35, 22, 53 ]
47
[ "51-35=16", "53-22=31", "16+31=47" ]
Current State: 47:[51, 35, 22, 53], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [22, 53, 16] Generated Node #2: [22, 53, 16] from Operation: 51-35=16 Current State: 47:[22, 53, 16], Operations: ['51-35=16'] Exploring Operation: 53-22=31, Resulting Numbers: [16, 31] Generated Node #3: [16, 31] from Operation: 53-22=31 Current State: 47:[16, 31], Operations: ['51-35=16', '53-22=31'] Exploring Operation: 16+31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 26, 50, 94, 37 ]
19
[ "26+50=76", "94-37=57", "76-57=19" ]
Current State: 19:[26, 50, 94, 37], Operations: [] Exploring Operation: 26+50=76, Resulting Numbers: [94, 37, 76] Generated Node #2: [94, 37, 76] from Operation: 26+50=76 Current State: 19:[94, 37, 76], Operations: ['26+50=76'] Exploring Operation: 94-37=57, Resulting Numbers: [76, 57] Generated Node #3: [76, 57] from Operation: 94-37=57 Current State: 19:[76, 57], Operations: ['26+50=76', '94-37=57'] Exploring Operation: 76-57=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 97, 47, 95, 32 ]
13
[ "97-47=50", "95-32=63", "63-50=13" ]
Current State: 13:[97, 47, 95, 32], Operations: [] Exploring Operation: 97-47=50, Resulting Numbers: [95, 32, 50] Generated Node #2: [95, 32, 50] from Operation: 97-47=50 Current State: 13:[95, 32, 50], Operations: ['97-47=50'] Exploring Operation: 95-32=63, Resulting Numbers: [50, 63] Generated Node #3: [50, 63] from Operation: 95-32=63 Current State: 13:[50, 63], Operations: ['97-47=50', '95-32=63'] Exploring Operation: 63-50=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 45, 9, 14, 36 ]
76
[ "45+9=54", "36-14=22", "54+22=76" ]
Current State: 76:[45, 9, 14, 36], Operations: [] Exploring Operation: 45+9=54, Resulting Numbers: [14, 36, 54] Generated Node #2: [14, 36, 54] from Operation: 45+9=54 Current State: 76:[14, 36, 54], Operations: ['45+9=54'] Exploring Operation: 36-14=22, Resulting Numbers: [54, 22] Generated Node #3: [54, 22] from Operation: 36-14=22 Current State: 76:[54, 22], Operations: ['45+9=54', '36-14=22'] Exploring Operation: 54+22=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 16, 1, 89 ]
43
[ "31+16=47", "1+89=90", "90-47=43" ]
Current State: 43:[31, 16, 1, 89], Operations: [] Exploring Operation: 31+16=47, Resulting Numbers: [1, 89, 47] Generated Node #2: [1, 89, 47] from Operation: 31+16=47 Current State: 43:[1, 89, 47], Operations: ['31+16=47'] Exploring Operation: 1+89=90, Resulting Numbers: [47, 90] Generated Node #3: [47, 90] from Operation: 1+89=90 Current State: 43:[47, 90], Operations: ['31+16=47', '1+89=90'] Exploring Operation: 90-47=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 14, 21, 48, 6 ]
27
[ "14+21=35", "48/6=8", "35-8=27" ]
Current State: 27:[14, 21, 48, 6], Operations: [] Exploring Operation: 14+21=35, Resulting Numbers: [48, 6, 35] Generated Node #2: [48, 6, 35] from Operation: 14+21=35 Current State: 27:[48, 6, 35], Operations: ['14+21=35'] Exploring Operation: 48/6=8, Resulting Numbers: [35, 8] Generated Node #3: [35, 8] from Operation: 48/6=8 Current State: 27:[35, 8], Operations: ['14+21=35', '48/6=8'] Exploring Operation: 35-8=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 88, 65, 96, 49 ]
70
[ "88-65=23", "96-49=47", "23+47=70" ]
Current State: 70:[88, 65, 96, 49], Operations: [] Exploring Operation: 88-65=23, Resulting Numbers: [96, 49, 23] Generated Node #2: [96, 49, 23] from Operation: 88-65=23 Current State: 70:[96, 49, 23], Operations: ['88-65=23'] Exploring Operation: 96-49=47, Resulting Numbers: [23, 47] Generated Node #3: [23, 47] from Operation: 96-49=47 Current State: 70:[23, 47], Operations: ['88-65=23', '96-49=47'] Exploring Operation: 23+47=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 82, 21, 46, 89 ]
32
[ "82+21=103", "46+89=135", "135-103=32" ]
Current State: 32:[82, 21, 46, 89], Operations: [] Exploring Operation: 82+21=103, Resulting Numbers: [46, 89, 103] Generated Node #2: [46, 89, 103] from Operation: 82+21=103 Current State: 32:[46, 89, 103], Operations: ['82+21=103'] Exploring Operation: 46+89=135, Resulting Numbers: [103, 135] Generated Node #3: [103, 135] from Operation: 46+89=135 Current State: 32:[103, 135], Operations: ['82+21=103', '46+89=135'] Exploring Operation: 135-103=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 11, 12, 48, 26 ]
22
[ "12-11=1", "48-26=22", "1*22=22" ]
Current State: 22:[11, 12, 48, 26], Operations: [] Exploring Operation: 12-11=1, Resulting Numbers: [48, 26, 1] Generated Node #2: [48, 26, 1] from Operation: 12-11=1 Current State: 22:[48, 26, 1], Operations: ['12-11=1'] Exploring Operation: 48-26=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 48-26=22 Current State: 22:[1, 22], Operations: ['12-11=1', '48-26=22'] Exploring Operation: 1*22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 91, 14, 81, 59 ]
83
[ "91+14=105", "81-59=22", "105-22=83" ]
Current State: 83:[91, 14, 81, 59], Operations: [] Exploring Operation: 91+14=105, Resulting Numbers: [81, 59, 105] Generated Node #2: [81, 59, 105] from Operation: 91+14=105 Current State: 83:[81, 59, 105], Operations: ['91+14=105'] Exploring Operation: 81-59=22, Resulting Numbers: [105, 22] Generated Node #3: [105, 22] from Operation: 81-59=22 Current State: 83:[105, 22], Operations: ['91+14=105', '81-59=22'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 88, 76, 73, 11 ]
96
[ "88-76=12", "73+11=84", "12+84=96" ]
Current State: 96:[88, 76, 73, 11], Operations: [] Exploring Operation: 88-76=12, Resulting Numbers: [73, 11, 12] Generated Node #2: [73, 11, 12] from Operation: 88-76=12 Current State: 96:[73, 11, 12], Operations: ['88-76=12'] Exploring Operation: 73+11=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 73+11=84 Current State: 96:[12, 84], Operations: ['88-76=12', '73+11=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 91, 85, 80, 17 ]
69
[ "91-85=6", "80-17=63", "6+63=69" ]
Current State: 69:[91, 85, 80, 17], Operations: [] Exploring Operation: 91-85=6, Resulting Numbers: [80, 17, 6] Generated Node #2: [80, 17, 6] from Operation: 91-85=6 Current State: 69:[80, 17, 6], Operations: ['91-85=6'] Exploring Operation: 80-17=63, Resulting Numbers: [6, 63] Generated Node #3: [6, 63] from Operation: 80-17=63 Current State: 69:[6, 63], Operations: ['91-85=6', '80-17=63'] Exploring Operation: 6+63=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 33, 28, 82, 93 ]
25
[ "93-82=11", "33/11=3", "28-3=25" ]
Current State: 25:[33, 28, 82, 93], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [33, 28, 11] Generated Node #2: [33, 28, 11] from Operation: 93-82=11 Current State: 25:[33, 28, 11], Operations: ['93-82=11'] Exploring Operation: 33/11=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 33/11=3 Current State: 25:[28, 3], Operations: ['93-82=11', '33/11=3'] Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 95, 64, 22 ]
55
[ "65+95=160", "22*160=3520", "3520/64=55" ]
Current State: 55:[65, 95, 64, 22], Operations: [] Exploring Operation: 65+95=160, Resulting Numbers: [64, 22, 160] Generated Node #2: [64, 22, 160] from Operation: 65+95=160 Current State: 55:[64, 22, 160], Operations: ['65+95=160'] Exploring Operation: 22*160=3520, Resulting Numbers: [64, 3520] Generated Node #3: [64, 3520] from Operation: 22*160=3520 Current State: 55:[64, 3520], Operations: ['65+95=160', '22*160=3520'] Exploring Operation: 3520/64=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 8, 95, 8, 90 ]
95
[ "8-8=0", "90*0=0", "95+0=95" ]
Current State: 95:[8, 95, 8, 90], Operations: [] Exploring Operation: 8-8=0, Resulting Numbers: [95, 90, 0] Generated Node #2: [95, 90, 0] from Operation: 8-8=0 Current State: 95:[95, 90, 0], Operations: ['8-8=0'] Exploring Operation: 90*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 90*0=0 Current State: 95:[95, 0], Operations: ['8-8=0', '90*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 92, 46, 87 ]
24
[ "87-39=48", "92/46=2", "48/2=24" ]
Current State: 24:[39, 92, 46, 87], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [92, 46, 48] Generated Node #2: [92, 46, 48] from Operation: 87-39=48 Current State: 24:[92, 46, 48], Operations: ['87-39=48'] Exploring Operation: 92/46=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 92/46=2 Current State: 24:[48, 2], Operations: ['87-39=48', '92/46=2'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 23, 32, 2 ]
85
[ "96+23=119", "32+2=34", "119-34=85" ]
Current State: 85:[96, 23, 32, 2], Operations: [] Exploring Operation: 96+23=119, Resulting Numbers: [32, 2, 119] Generated Node #2: [32, 2, 119] from Operation: 96+23=119 Current State: 85:[32, 2, 119], Operations: ['96+23=119'] Exploring Operation: 32+2=34, Resulting Numbers: [119, 34] Generated Node #3: [119, 34] from Operation: 32+2=34 Current State: 85:[119, 34], Operations: ['96+23=119', '32+2=34'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 65, 69, 56 ]
100
[ "56-31=25", "69-65=4", "25*4=100" ]
Current State: 100:[31, 65, 69, 56], Operations: [] Exploring Operation: 56-31=25, Resulting Numbers: [65, 69, 25] Generated Node #2: [65, 69, 25] from Operation: 56-31=25 Current State: 100:[65, 69, 25], Operations: ['56-31=25'] Exploring Operation: 69-65=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 69-65=4 Current State: 100:[25, 4], Operations: ['56-31=25', '69-65=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 25, 21, 44, 37 ]
11
[ "25-21=4", "44-37=7", "4+7=11" ]
Current State: 11:[25, 21, 44, 37], Operations: [] Exploring Operation: 25-21=4, Resulting Numbers: [44, 37, 4] Generated Node #2: [44, 37, 4] from Operation: 25-21=4 Current State: 11:[44, 37, 4], Operations: ['25-21=4'] Exploring Operation: 44-37=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 44-37=7 Current State: 11:[4, 7], Operations: ['25-21=4', '44-37=7'] Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 59, 2, 7, 65 ]
57
[ "65-7=58", "2*58=116", "116-59=57" ]
Current State: 57:[59, 2, 7, 65], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [59, 2, 58] Generated Node #2: [59, 2, 58] from Operation: 65-7=58 Current State: 57:[59, 2, 58], Operations: ['65-7=58'] Exploring Operation: 2*58=116, Resulting Numbers: [59, 116] Generated Node #3: [59, 116] from Operation: 2*58=116 Current State: 57:[59, 116], Operations: ['65-7=58', '2*58=116'] Exploring Operation: 116-59=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 24, 69, 95, 38 ]
88
[ "69-24=45", "95+38=133", "133-45=88" ]
Current State: 88:[24, 69, 95, 38], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [95, 38, 45] Generated Node #2: [95, 38, 45] from Operation: 69-24=45 Current State: 88:[95, 38, 45], Operations: ['69-24=45'] Exploring Operation: 95+38=133, Resulting Numbers: [45, 133] Generated Node #3: [45, 133] from Operation: 95+38=133 Current State: 88:[45, 133], Operations: ['69-24=45', '95+38=133'] Exploring Operation: 133-45=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 10, 28, 25 ]
77
[ "64+10=74", "28-25=3", "74+3=77" ]
Current State: 77:[64, 10, 28, 25], Operations: [] Exploring Operation: 64+10=74, Resulting Numbers: [28, 25, 74] Generated Node #2: [28, 25, 74] from Operation: 64+10=74 Current State: 77:[28, 25, 74], Operations: ['64+10=74'] Exploring Operation: 28-25=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 28-25=3 Current State: 77:[74, 3], Operations: ['64+10=74', '28-25=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 25, 22, 20, 14 ]
31
[ "25-22=3", "20+14=34", "34-3=31" ]
Current State: 31:[25, 22, 20, 14], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [20, 14, 3] Generated Node #2: [20, 14, 3] from Operation: 25-22=3 Current State: 31:[20, 14, 3], Operations: ['25-22=3'] Exploring Operation: 20+14=34, Resulting Numbers: [3, 34] Generated Node #3: [3, 34] from Operation: 20+14=34 Current State: 31:[3, 34], Operations: ['25-22=3', '20+14=34'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 29, 20, 89, 33 ]
84
[ "33-29=4", "20/4=5", "89-5=84" ]
Current State: 84:[29, 20, 89, 33], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [20, 89, 4] Generated Node #2: [20, 89, 4] from Operation: 33-29=4 Current State: 84:[20, 89, 4], Operations: ['33-29=4'] Exploring Operation: 20/4=5, Resulting Numbers: [89, 5] Generated Node #3: [89, 5] from Operation: 20/4=5 Current State: 84:[89, 5], Operations: ['33-29=4', '20/4=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 89, 94, 85, 70 ]
87
[ "94-89=5", "85/5=17", "70+17=87" ]
Current State: 87:[89, 94, 85, 70], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [85, 70, 5] Generated Node #2: [85, 70, 5] from Operation: 94-89=5 Current State: 87:[85, 70, 5], Operations: ['94-89=5'] Exploring Operation: 85/5=17, Resulting Numbers: [70, 17] Generated Node #3: [70, 17] from Operation: 85/5=17 Current State: 87:[70, 17], Operations: ['94-89=5', '85/5=17'] Exploring Operation: 70+17=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 32, 2, 33, 18 ]
37
[ "33-32=1", "2*18=36", "1+36=37" ]
Current State: 37:[32, 2, 33, 18], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [2, 18, 1] Generated Node #2: [2, 18, 1] from Operation: 33-32=1 Current State: 37:[2, 18, 1], Operations: ['33-32=1'] Exploring Operation: 2*18=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 2*18=36 Current State: 37:[1, 36], Operations: ['33-32=1', '2*18=36'] Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 3, 98, 62, 31 ]
77
[ "98-62=36", "3*36=108", "108-31=77" ]
Current State: 77:[3, 98, 62, 31], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [3, 31, 36] Generated Node #2: [3, 31, 36] from Operation: 98-62=36 Current State: 77:[3, 31, 36], Operations: ['98-62=36'] Exploring Operation: 3*36=108, Resulting Numbers: [31, 108] Generated Node #3: [31, 108] from Operation: 3*36=108 Current State: 77:[31, 108], Operations: ['98-62=36', '3*36=108'] Exploring Operation: 108-31=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 59, 51, 83, 3 ]
37
[ "83-51=32", "3*32=96", "96-59=37" ]
Current State: 37:[59, 51, 83, 3], Operations: [] Exploring Operation: 83-51=32, Resulting Numbers: [59, 3, 32] Generated Node #2: [59, 3, 32] from Operation: 83-51=32 Current State: 37:[59, 3, 32], Operations: ['83-51=32'] Exploring Operation: 3*32=96, Resulting Numbers: [59, 96] Generated Node #3: [59, 96] from Operation: 3*32=96 Current State: 37:[59, 96], Operations: ['83-51=32', '3*32=96'] Exploring Operation: 96-59=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 84, 60, 65, 79 ]
12
[ "84*65=5460", "5460/60=91", "91-79=12" ]
Current State: 12:[84, 60, 65, 79], Operations: [] Exploring Operation: 84*65=5460, Resulting Numbers: [60, 79, 5460] Generated Node #2: [60, 79, 5460] from Operation: 84*65=5460 Current State: 12:[60, 79, 5460], Operations: ['84*65=5460'] Exploring Operation: 5460/60=91, Resulting Numbers: [79, 91] Generated Node #3: [79, 91] from Operation: 5460/60=91 Current State: 12:[79, 91], Operations: ['84*65=5460', '5460/60=91'] Exploring Operation: 91-79=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 65, 20, 40, 45 ]
40
[ "65-20=45", "40+45=85", "85-45=40" ]
Current State: 40:[65, 20, 40, 45], Operations: [] Exploring Operation: 65-20=45, Resulting Numbers: [40, 45, 45] Generated Node #2: [40, 45, 45] from Operation: 65-20=45 Current State: 40:[40, 45, 45], Operations: ['65-20=45'] Exploring Operation: 40+45=85, Resulting Numbers: [85] 85,40 equal: Goal Reached Exploring Operation: 85-45=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 65, 43, 51, 4 ]
99
[ "65-51=14", "4*14=56", "43+56=99" ]
Current State: 99:[65, 43, 51, 4], Operations: [] Exploring Operation: 65-51=14, Resulting Numbers: [43, 4, 14] Generated Node #2: [43, 4, 14] from Operation: 65-51=14 Current State: 99:[43, 4, 14], Operations: ['65-51=14'] Exploring Operation: 4*14=56, Resulting Numbers: [43, 56] Generated Node #3: [43, 56] from Operation: 4*14=56 Current State: 99:[43, 56], Operations: ['65-51=14', '4*14=56'] Exploring Operation: 43+56=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 38, 49, 86 ]
69
[ "38-6=32", "86-49=37", "32+37=69" ]
Current State: 69:[6, 38, 49, 86], Operations: [] Exploring Operation: 38-6=32, Resulting Numbers: [49, 86, 32] Generated Node #2: [49, 86, 32] from Operation: 38-6=32 Current State: 69:[49, 86, 32], Operations: ['38-6=32'] Exploring Operation: 86-49=37, Resulting Numbers: [32, 37] Generated Node #3: [32, 37] from Operation: 86-49=37 Current State: 69:[32, 37], Operations: ['38-6=32', '86-49=37'] Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 41, 71, 35, 82 ]
53
[ "82/41=2", "71+35=106", "106/2=53" ]
Current State: 53:[41, 71, 35, 82], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [71, 35, 2] Generated Node #2: [71, 35, 2] from Operation: 82/41=2 Current State: 53:[71, 35, 2], Operations: ['82/41=2'] Exploring Operation: 71+35=106, Resulting Numbers: [2, 106] Generated Node #3: [2, 106] from Operation: 71+35=106 Current State: 53:[2, 106], Operations: ['82/41=2', '71+35=106'] Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 81, 38, 90, 95 ]
66
[ "81+38=119", "90+95=185", "185-119=66" ]
Current State: 66:[81, 38, 90, 95], Operations: [] Exploring Operation: 81+38=119, Resulting Numbers: [90, 95, 119] Generated Node #2: [90, 95, 119] from Operation: 81+38=119 Current State: 66:[90, 95, 119], Operations: ['81+38=119'] Exploring Operation: 90+95=185, Resulting Numbers: [119, 185] Generated Node #3: [119, 185] from Operation: 90+95=185 Current State: 66:[119, 185], Operations: ['81+38=119', '90+95=185'] Exploring Operation: 185-119=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 36, 16, 93, 12 ]
41
[ "16*93=1488", "1488-12=1476", "1476/36=41" ]
Current State: 41:[36, 16, 93, 12], Operations: [] Exploring Operation: 16*93=1488, Resulting Numbers: [36, 12, 1488] Generated Node #2: [36, 12, 1488] from Operation: 16*93=1488 Current State: 41:[36, 12, 1488], Operations: ['16*93=1488'] Exploring Operation: 1488-12=1476, Resulting Numbers: [36, 1476] Generated Node #3: [36, 1476] from Operation: 1488-12=1476 Current State: 41:[36, 1476], Operations: ['16*93=1488', '1488-12=1476'] Exploring Operation: 1476/36=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 6, 72, 82, 83 ]
65
[ "72-6=66", "83-82=1", "66-1=65" ]
Current State: 65:[6, 72, 82, 83], Operations: [] Exploring Operation: 72-6=66, Resulting Numbers: [82, 83, 66] Generated Node #2: [82, 83, 66] from Operation: 72-6=66 Current State: 65:[82, 83, 66], Operations: ['72-6=66'] Exploring Operation: 83-82=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 83-82=1 Current State: 65:[66, 1], Operations: ['72-6=66', '83-82=1'] Exploring Operation: 66-1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 58, 77, 78, 19 ]
76
[ "58+77=135", "78-19=59", "135-59=76" ]
Current State: 76:[58, 77, 78, 19], Operations: [] Exploring Operation: 58+77=135, Resulting Numbers: [78, 19, 135] Generated Node #2: [78, 19, 135] from Operation: 58+77=135 Current State: 76:[78, 19, 135], Operations: ['58+77=135'] Exploring Operation: 78-19=59, Resulting Numbers: [135, 59] Generated Node #3: [135, 59] from Operation: 78-19=59 Current State: 76:[135, 59], Operations: ['58+77=135', '78-19=59'] Exploring Operation: 135-59=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 90, 86, 2, 4 ]
14
[ "90-86=4", "4*4=16", "16-2=14" ]
Current State: 14:[90, 86, 2, 4], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [2, 4, 4] Generated Node #2: [2, 4, 4] from Operation: 90-86=4 Current State: 14:[2, 4, 4], Operations: ['90-86=4'] Exploring Operation: 4*4=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 4*4=16 Current State: 14:[2, 16], Operations: ['90-86=4', '4*4=16'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 61, 20, 32, 14 ]
99
[ "61+20=81", "32-14=18", "81+18=99" ]
Current State: 99:[61, 20, 32, 14], Operations: [] Exploring Operation: 61+20=81, Resulting Numbers: [32, 14, 81] Generated Node #2: [32, 14, 81] from Operation: 61+20=81 Current State: 99:[32, 14, 81], Operations: ['61+20=81'] Exploring Operation: 32-14=18, Resulting Numbers: [81, 18] Generated Node #3: [81, 18] from Operation: 32-14=18 Current State: 99:[81, 18], Operations: ['61+20=81', '32-14=18'] Exploring Operation: 81+18=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 80, 79, 10, 7 ]
77
[ "80-79=1", "10+1=11", "7*11=77" ]
Current State: 77:[80, 79, 10, 7], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [10, 7, 1] Generated Node #2: [10, 7, 1] from Operation: 80-79=1 Current State: 77:[10, 7, 1], Operations: ['80-79=1'] Exploring Operation: 10+1=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 10+1=11 Current State: 77:[7, 11], Operations: ['80-79=1', '10+1=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 19, 4, 18, 11 ]
17
[ "4+18=22", "22/11=2", "19-2=17" ]
Current State: 17:[19, 4, 18, 11], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [19, 11, 22] Generated Node #2: [19, 11, 22] from Operation: 4+18=22 Current State: 17:[19, 11, 22], Operations: ['4+18=22'] Exploring Operation: 22/11=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 22/11=2 Current State: 17:[19, 2], Operations: ['4+18=22', '22/11=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 27, 16, 44 ]
18
[ "44-27=17", "34/17=2", "16+2=18" ]
Current State: 18:[34, 27, 16, 44], Operations: [] Exploring Operation: 44-27=17, Resulting Numbers: [34, 16, 17] Generated Node #2: [34, 16, 17] from Operation: 44-27=17 Current State: 18:[34, 16, 17], Operations: ['44-27=17'] Exploring Operation: 34/17=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 34/17=2 Current State: 18:[16, 2], Operations: ['44-27=17', '34/17=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 42, 43, 55, 50 ]
90
[ "42+43=85", "55-50=5", "85+5=90" ]
Current State: 90:[42, 43, 55, 50], Operations: [] Exploring Operation: 42+43=85, Resulting Numbers: [55, 50, 85] Generated Node #2: [55, 50, 85] from Operation: 42+43=85 Current State: 90:[55, 50, 85], Operations: ['42+43=85'] Exploring Operation: 55-50=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 55-50=5 Current State: 90:[85, 5], Operations: ['42+43=85', '55-50=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 96, 62, 6, 26 ]
65
[ "6+26=32", "96/32=3", "62+3=65" ]
Current State: 65:[96, 62, 6, 26], Operations: [] Exploring Operation: 6+26=32, Resulting Numbers: [96, 62, 32] Generated Node #2: [96, 62, 32] from Operation: 6+26=32 Current State: 65:[96, 62, 32], Operations: ['6+26=32'] Exploring Operation: 96/32=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 96/32=3 Current State: 65:[62, 3], Operations: ['6+26=32', '96/32=3'] Exploring Operation: 62+3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 79, 48, 10, 10 ]
51
[ "79-48=31", "10+10=20", "31+20=51" ]
Current State: 51:[79, 48, 10, 10], Operations: [] Exploring Operation: 79-48=31, Resulting Numbers: [10, 10, 31] Generated Node #2: [10, 10, 31] from Operation: 79-48=31 Current State: 51:[10, 10, 31], Operations: ['79-48=31'] Exploring Operation: 10+10=20, Resulting Numbers: [31, 20] Generated Node #3: [31, 20] from Operation: 10+10=20 Current State: 51:[31, 20], Operations: ['79-48=31', '10+10=20'] Exploring Operation: 31+20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 41, 45, 44, 93 ]
52
[ "93-41=52", "45-44=1", "52*1=52" ]
Current State: 52:[41, 45, 44, 93], Operations: [] Exploring Operation: 93-41=52, Resulting Numbers: [45, 44, 52] Generated Node #2: [45, 44, 52] from Operation: 93-41=52 Current State: 52:[45, 44, 52], Operations: ['93-41=52'] Exploring Operation: 45-44=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 45-44=1 Current State: 52:[52, 1], Operations: ['93-41=52', '45-44=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 78, 53, 13, 31 ]
69
[ "78-53=25", "13+31=44", "25+44=69" ]
Current State: 69:[78, 53, 13, 31], Operations: [] Exploring Operation: 78-53=25, Resulting Numbers: [13, 31, 25] Generated Node #2: [13, 31, 25] from Operation: 78-53=25 Current State: 69:[13, 31, 25], Operations: ['78-53=25'] Exploring Operation: 13+31=44, Resulting Numbers: [25, 44] Generated Node #3: [25, 44] from Operation: 13+31=44 Current State: 69:[25, 44], Operations: ['78-53=25', '13+31=44'] Exploring Operation: 25+44=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 25, 98, 21, 42 ]
60
[ "25+98=123", "21+42=63", "123-63=60" ]
Current State: 60:[25, 98, 21, 42], Operations: [] Exploring Operation: 25+98=123, Resulting Numbers: [21, 42, 123] Generated Node #2: [21, 42, 123] from Operation: 25+98=123 Current State: 60:[21, 42, 123], Operations: ['25+98=123'] Exploring Operation: 21+42=63, Resulting Numbers: [123, 63] Generated Node #3: [123, 63] from Operation: 21+42=63 Current State: 60:[123, 63], Operations: ['25+98=123', '21+42=63'] Exploring Operation: 123-63=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 4, 36, 14, 39 ]
41
[ "4+14=18", "36/18=2", "39+2=41" ]
Current State: 41:[4, 36, 14, 39], Operations: [] Exploring Operation: 4+14=18, Resulting Numbers: [36, 39, 18] Generated Node #2: [36, 39, 18] from Operation: 4+14=18 Current State: 41:[36, 39, 18], Operations: ['4+14=18'] Exploring Operation: 36/18=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 36/18=2 Current State: 41:[39, 2], Operations: ['4+14=18', '36/18=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 31, 90, 7, 86 ]
30
[ "31*90=2790", "7+86=93", "2790/93=30" ]
Current State: 30:[31, 90, 7, 86], Operations: [] Exploring Operation: 31*90=2790, Resulting Numbers: [7, 86, 2790] Generated Node #2: [7, 86, 2790] from Operation: 31*90=2790 Current State: 30:[7, 86, 2790], Operations: ['31*90=2790'] Exploring Operation: 7+86=93, Resulting Numbers: [2790, 93] Generated Node #3: [2790, 93] from Operation: 7+86=93 Current State: 30:[2790, 93], Operations: ['31*90=2790', '7+86=93'] Exploring Operation: 2790/93=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 58, 36, 50, 7 ]
79
[ "58-36=22", "50+7=57", "22+57=79" ]
Current State: 79:[58, 36, 50, 7], Operations: [] Exploring Operation: 58-36=22, Resulting Numbers: [50, 7, 22] Generated Node #2: [50, 7, 22] from Operation: 58-36=22 Current State: 79:[50, 7, 22], Operations: ['58-36=22'] Exploring Operation: 50+7=57, Resulting Numbers: [22, 57] Generated Node #3: [22, 57] from Operation: 50+7=57 Current State: 79:[22, 57], Operations: ['58-36=22', '50+7=57'] Exploring Operation: 22+57=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 56, 40, 83, 63 ]
28
[ "83-63=20", "56*20=1120", "1120/40=28" ]
Current State: 28:[56, 40, 83, 63], Operations: [] Exploring Operation: 83-63=20, Resulting Numbers: [56, 40, 20] Generated Node #2: [56, 40, 20] from Operation: 83-63=20 Current State: 28:[56, 40, 20], Operations: ['83-63=20'] Exploring Operation: 56*20=1120, Resulting Numbers: [40, 1120] Generated Node #3: [40, 1120] from Operation: 56*20=1120 Current State: 28:[40, 1120], Operations: ['83-63=20', '56*20=1120'] Exploring Operation: 1120/40=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 11, 27, 13 ]
75
[ "7*13=91", "27-11=16", "91-16=75" ]
Current State: 75:[7, 11, 27, 13], Operations: [] Exploring Operation: 7*13=91, Resulting Numbers: [11, 27, 91] Generated Node #2: [11, 27, 91] from Operation: 7*13=91 Current State: 75:[11, 27, 91], Operations: ['7*13=91'] Exploring Operation: 27-11=16, Resulting Numbers: [91, 16] Generated Node #3: [91, 16] from Operation: 27-11=16 Current State: 75:[91, 16], Operations: ['7*13=91', '27-11=16'] Exploring Operation: 91-16=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 59, 17, 37, 55 ]
50
[ "59-17=42", "37+55=92", "92-42=50" ]
Current State: 50:[59, 17, 37, 55], Operations: [] Exploring Operation: 59-17=42, Resulting Numbers: [37, 55, 42] Generated Node #2: [37, 55, 42] from Operation: 59-17=42 Current State: 50:[37, 55, 42], Operations: ['59-17=42'] Exploring Operation: 37+55=92, Resulting Numbers: [42, 92] Generated Node #3: [42, 92] from Operation: 37+55=92 Current State: 50:[42, 92], Operations: ['59-17=42', '37+55=92'] Exploring Operation: 92-42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 20, 60, 44, 78 ]
70
[ "60/20=3", "78/3=26", "44+26=70" ]
Current State: 70:[20, 60, 44, 78], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [44, 78, 3] Generated Node #2: [44, 78, 3] from Operation: 60/20=3 Current State: 70:[44, 78, 3], Operations: ['60/20=3'] Exploring Operation: 78/3=26, Resulting Numbers: [44, 26] Generated Node #3: [44, 26] from Operation: 78/3=26 Current State: 70:[44, 26], Operations: ['60/20=3', '78/3=26'] Exploring Operation: 44+26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 45, 9, 20, 52 ]
18
[ "45+9=54", "20+52=72", "72-54=18" ]
Current State: 18:[45, 9, 20, 52], Operations: [] Exploring Operation: 45+9=54, Resulting Numbers: [20, 52, 54] Generated Node #2: [20, 52, 54] from Operation: 45+9=54 Current State: 18:[20, 52, 54], Operations: ['45+9=54'] Exploring Operation: 20+52=72, Resulting Numbers: [54, 72] Generated Node #3: [54, 72] from Operation: 20+52=72 Current State: 18:[54, 72], Operations: ['45+9=54', '20+52=72'] Exploring Operation: 72-54=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 96, 97, 31 ]
92
[ "97+31=128", "69*128=8832", "8832/96=92" ]
Current State: 92:[69, 96, 97, 31], Operations: [] Exploring Operation: 97+31=128, Resulting Numbers: [69, 96, 128] Generated Node #2: [69, 96, 128] from Operation: 97+31=128 Current State: 92:[69, 96, 128], Operations: ['97+31=128'] Exploring Operation: 69*128=8832, Resulting Numbers: [96, 8832] Generated Node #3: [96, 8832] from Operation: 69*128=8832 Current State: 92:[96, 8832], Operations: ['97+31=128', '69*128=8832'] Exploring Operation: 8832/96=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 71, 68, 65, 67 ]
69
[ "71+65=136", "136/68=2", "67+2=69" ]
Current State: 69:[71, 68, 65, 67], Operations: [] Exploring Operation: 71+65=136, Resulting Numbers: [68, 67, 136] Generated Node #2: [68, 67, 136] from Operation: 71+65=136 Current State: 69:[68, 67, 136], Operations: ['71+65=136'] Exploring Operation: 136/68=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 136/68=2 Current State: 69:[67, 2], Operations: ['71+65=136', '136/68=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 40, 92, 18, 19 ]
51
[ "92-40=52", "19-18=1", "52-1=51" ]
Current State: 51:[40, 92, 18, 19], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [18, 19, 52] Generated Node #2: [18, 19, 52] from Operation: 92-40=52 Current State: 51:[18, 19, 52], Operations: ['92-40=52'] Exploring Operation: 19-18=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 19-18=1 Current State: 51:[52, 1], Operations: ['92-40=52', '19-18=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 65, 93, 98, 84 ]
97
[ "98-93=5", "65/5=13", "84+13=97" ]
Current State: 97:[65, 93, 98, 84], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [65, 84, 5] Generated Node #2: [65, 84, 5] from Operation: 98-93=5 Current State: 97:[65, 84, 5], Operations: ['98-93=5'] Exploring Operation: 65/5=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 65/5=13 Current State: 97:[84, 13], Operations: ['98-93=5', '65/5=13'] Exploring Operation: 84+13=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 53, 29, 54, 58 ]
52
[ "53*58=3074", "3074/29=106", "106-54=52" ]
Current State: 52:[53, 29, 54, 58], Operations: [] Exploring Operation: 53*58=3074, Resulting Numbers: [29, 54, 3074] Generated Node #2: [29, 54, 3074] from Operation: 53*58=3074 Current State: 52:[29, 54, 3074], Operations: ['53*58=3074'] Exploring Operation: 3074/29=106, Resulting Numbers: [54, 106] Generated Node #3: [54, 106] from Operation: 3074/29=106 Current State: 52:[54, 106], Operations: ['53*58=3074', '3074/29=106'] Exploring Operation: 106-54=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 40, 12, 96, 47 ]
91
[ "40+12=52", "96+47=143", "143-52=91" ]
Current State: 91:[40, 12, 96, 47], Operations: [] Exploring Operation: 40+12=52, Resulting Numbers: [96, 47, 52] Generated Node #2: [96, 47, 52] from Operation: 40+12=52 Current State: 91:[96, 47, 52], Operations: ['40+12=52'] Exploring Operation: 96+47=143, Resulting Numbers: [52, 143] Generated Node #3: [52, 143] from Operation: 96+47=143 Current State: 91:[52, 143], Operations: ['40+12=52', '96+47=143'] Exploring Operation: 143-52=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 72, 44, 52, 22 ]
92
[ "72*44=3168", "3168/22=144", "144-52=92" ]
Current State: 92:[72, 44, 52, 22], Operations: [] Exploring Operation: 72*44=3168, Resulting Numbers: [52, 22, 3168] Generated Node #2: [52, 22, 3168] from Operation: 72*44=3168 Current State: 92:[52, 22, 3168], Operations: ['72*44=3168'] Exploring Operation: 3168/22=144, Resulting Numbers: [52, 144] Generated Node #3: [52, 144] from Operation: 3168/22=144 Current State: 92:[52, 144], Operations: ['72*44=3168', '3168/22=144'] Exploring Operation: 144-52=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 44, 37, 68, 95 ]
65
[ "37+95=132", "132/44=3", "68-3=65" ]
Current State: 65:[44, 37, 68, 95], Operations: [] Exploring Operation: 37+95=132, Resulting Numbers: [44, 68, 132] Generated Node #2: [44, 68, 132] from Operation: 37+95=132 Current State: 65:[44, 68, 132], Operations: ['37+95=132'] Exploring Operation: 132/44=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 132/44=3 Current State: 65:[68, 3], Operations: ['37+95=132', '132/44=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 37, 20, 24, 58 ]
99
[ "37-20=17", "24+58=82", "17+82=99" ]
Current State: 99:[37, 20, 24, 58], Operations: [] Exploring Operation: 37-20=17, Resulting Numbers: [24, 58, 17] Generated Node #2: [24, 58, 17] from Operation: 37-20=17 Current State: 99:[24, 58, 17], Operations: ['37-20=17'] Exploring Operation: 24+58=82, Resulting Numbers: [17, 82] Generated Node #3: [17, 82] from Operation: 24+58=82 Current State: 99:[17, 82], Operations: ['37-20=17', '24+58=82'] Exploring Operation: 17+82=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 72, 76, 88, 30 ]
54
[ "76-72=4", "88-30=58", "58-4=54" ]
Current State: 54:[72, 76, 88, 30], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [88, 30, 4] Generated Node #2: [88, 30, 4] from Operation: 76-72=4 Current State: 54:[88, 30, 4], Operations: ['76-72=4'] Exploring Operation: 88-30=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 88-30=58 Current State: 54:[4, 58], Operations: ['76-72=4', '88-30=58'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 14, 16, 58, 56 ]
57
[ "16-14=2", "58+56=114", "114/2=57" ]
Current State: 57:[14, 16, 58, 56], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [58, 56, 2] Generated Node #2: [58, 56, 2] from Operation: 16-14=2 Current State: 57:[58, 56, 2], Operations: ['16-14=2'] Exploring Operation: 58+56=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 58+56=114 Current State: 57:[2, 114], Operations: ['16-14=2', '58+56=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 25, 83, 41, 11 ]
93
[ "41-25=16", "11*16=176", "176-83=93" ]
Current State: 93:[25, 83, 41, 11], Operations: [] Exploring Operation: 41-25=16, Resulting Numbers: [83, 11, 16] Generated Node #2: [83, 11, 16] from Operation: 41-25=16 Current State: 93:[83, 11, 16], Operations: ['41-25=16'] Exploring Operation: 11*16=176, Resulting Numbers: [83, 176] Generated Node #3: [83, 176] from Operation: 11*16=176 Current State: 93:[83, 176], Operations: ['41-25=16', '11*16=176'] Exploring Operation: 176-83=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4