nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 57, 1, 95, 69 ]
31
[ "57*1=57", "95-69=26", "57-26=31" ]
Current State: 31:[57, 1, 95, 69], Operations: [] Exploring Operation: 57*1=57, Resulting Numbers: [95, 69, 57] Generated Node #2: [95, 69, 57] from Operation: 57*1=57 Current State: 31:[95, 69, 57], Operations: ['57*1=57'] Exploring Operation: 95-69=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 95-69=26 Current State: 31:[57, 26], Operations: ['57*1=57', '95-69=26'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 12, 16, 37 ]
28
[ "85*12=1020", "16+1020=1036", "1036/37=28" ]
Current State: 28:[85, 12, 16, 37], Operations: [] Exploring Operation: 85*12=1020, Resulting Numbers: [16, 37, 1020] Generated Node #2: [16, 37, 1020] from Operation: 85*12=1020 Current State: 28:[16, 37, 1020], Operations: ['85*12=1020'] Exploring Operation: 16+1020=1036, Resulting Numbers: [37, 1036] Generated Node #3: [37, 1036] from Operation: 16+1020=1036 Current State: 28:[37, 1036], Operations: ['85*12=1020', '16+1020=1036'] Exploring Operation: 1036/37=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 48, 42, 73, 94 ]
46
[ "94-73=21", "42/21=2", "48-2=46" ]
Current State: 46:[48, 42, 73, 94], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [48, 42, 21] Generated Node #2: [48, 42, 21] from Operation: 94-73=21 Current State: 46:[48, 42, 21], Operations: ['94-73=21'] Exploring Operation: 42/21=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 42/21=2 Current State: 46:[48, 2], Operations: ['94-73=21', '42/21=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 91, 76, 12, 7 ]
83
[ "91+76=167", "12*7=84", "167-84=83" ]
Current State: 83:[91, 76, 12, 7], Operations: [] Exploring Operation: 91+76=167, Resulting Numbers: [12, 7, 167] Generated Node #2: [12, 7, 167] from Operation: 91+76=167 Current State: 83:[12, 7, 167], Operations: ['91+76=167'] Exploring Operation: 12*7=84, Resulting Numbers: [167, 84] Generated Node #3: [167, 84] from Operation: 12*7=84 Current State: 83:[167, 84], Operations: ['91+76=167', '12*7=84'] Exploring Operation: 167-84=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 70, 73, 89 ]
60
[ "91+89=180", "73-70=3", "180/3=60" ]
Current State: 60:[91, 70, 73, 89], Operations: [] Exploring Operation: 91+89=180, Resulting Numbers: [70, 73, 180] Generated Node #2: [70, 73, 180] from Operation: 91+89=180 Current State: 60:[70, 73, 180], Operations: ['91+89=180'] Exploring Operation: 73-70=3, Resulting Numbers: [180, 3] Generated Node #3: [180, 3] from Operation: 73-70=3 Current State: 60:[180, 3], Operations: ['91+89=180', '73-70=3'] Exploring Operation: 180/3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 42, 23, 24, 54 ]
25
[ "54-42=12", "24/12=2", "23+2=25" ]
Current State: 25:[42, 23, 24, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [23, 24, 12] Generated Node #2: [23, 24, 12] from Operation: 54-42=12 Current State: 25:[23, 24, 12], Operations: ['54-42=12'] Exploring Operation: 24/12=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 24/12=2 Current State: 25:[23, 2], Operations: ['54-42=12', '24/12=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 63, 7, 59, 64 ]
14
[ "63+7=70", "64-59=5", "70/5=14" ]
Current State: 14:[63, 7, 59, 64], Operations: [] Exploring Operation: 63+7=70, Resulting Numbers: [59, 64, 70] Generated Node #2: [59, 64, 70] from Operation: 63+7=70 Current State: 14:[59, 64, 70], Operations: ['63+7=70'] Exploring Operation: 64-59=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 64-59=5 Current State: 14:[70, 5], Operations: ['63+7=70', '64-59=5'] Exploring Operation: 70/5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 88, 44, 86 ]
13
[ "88-78=10", "44+86=130", "130/10=13" ]
Current State: 13:[78, 88, 44, 86], Operations: [] Exploring Operation: 88-78=10, Resulting Numbers: [44, 86, 10] Generated Node #2: [44, 86, 10] from Operation: 88-78=10 Current State: 13:[44, 86, 10], Operations: ['88-78=10'] Exploring Operation: 44+86=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 44+86=130 Current State: 13:[10, 130], Operations: ['88-78=10', '44+86=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 56, 73, 25, 82 ]
90
[ "73-56=17", "25+82=107", "107-17=90" ]
Current State: 90:[56, 73, 25, 82], Operations: [] Exploring Operation: 73-56=17, Resulting Numbers: [25, 82, 17] Generated Node #2: [25, 82, 17] from Operation: 73-56=17 Current State: 90:[25, 82, 17], Operations: ['73-56=17'] Exploring Operation: 25+82=107, Resulting Numbers: [17, 107] Generated Node #3: [17, 107] from Operation: 25+82=107 Current State: 90:[17, 107], Operations: ['73-56=17', '25+82=107'] Exploring Operation: 107-17=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 93, 49, 81, 12 ]
73
[ "93+49=142", "81-12=69", "142-69=73" ]
Current State: 73:[93, 49, 81, 12], Operations: [] Exploring Operation: 93+49=142, Resulting Numbers: [81, 12, 142] Generated Node #2: [81, 12, 142] from Operation: 93+49=142 Current State: 73:[81, 12, 142], Operations: ['93+49=142'] Exploring Operation: 81-12=69, Resulting Numbers: [142, 69] Generated Node #3: [142, 69] from Operation: 81-12=69 Current State: 73:[142, 69], Operations: ['93+49=142', '81-12=69'] Exploring Operation: 142-69=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 45, 81, 2, 53 ]
11
[ "81-53=28", "2*28=56", "56-45=11" ]
Current State: 11:[45, 81, 2, 53], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [45, 2, 28] Generated Node #2: [45, 2, 28] from Operation: 81-53=28 Current State: 11:[45, 2, 28], Operations: ['81-53=28'] Exploring Operation: 2*28=56, Resulting Numbers: [45, 56] Generated Node #3: [45, 56] from Operation: 2*28=56 Current State: 11:[45, 56], Operations: ['81-53=28', '2*28=56'] Exploring Operation: 56-45=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 41, 62, 86 ]
22
[ "43-41=2", "86-62=24", "24-2=22" ]
Current State: 22:[43, 41, 62, 86], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [62, 86, 2] Generated Node #2: [62, 86, 2] from Operation: 43-41=2 Current State: 22:[62, 86, 2], Operations: ['43-41=2'] Exploring Operation: 86-62=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 86-62=24 Current State: 22:[2, 24], Operations: ['43-41=2', '86-62=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 56, 2, 18, 13 ]
78
[ "56+13=69", "18/2=9", "69+9=78" ]
Current State: 78:[56, 2, 18, 13], Operations: [] Exploring Operation: 56+13=69, Resulting Numbers: [2, 18, 69] Generated Node #2: [2, 18, 69] from Operation: 56+13=69 Current State: 78:[2, 18, 69], Operations: ['56+13=69'] Exploring Operation: 18/2=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 18/2=9 Current State: 78:[69, 9], Operations: ['56+13=69', '18/2=9'] Exploring Operation: 69+9=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 52, 16, 29, 87 ]
65
[ "52+16=68", "87/29=3", "68-3=65" ]
Current State: 65:[52, 16, 29, 87], Operations: [] Exploring Operation: 52+16=68, Resulting Numbers: [29, 87, 68] Generated Node #2: [29, 87, 68] from Operation: 52+16=68 Current State: 65:[29, 87, 68], Operations: ['52+16=68'] Exploring Operation: 87/29=3, Resulting Numbers: [68, 3] Generated Node #3: [68, 3] from Operation: 87/29=3 Current State: 65:[68, 3], Operations: ['52+16=68', '87/29=3'] Exploring Operation: 68-3=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 1, 16, 13 ]
29
[ "1*1=1", "16+13=29", "1*29=29" ]
Current State: 29:[1, 1, 16, 13], Operations: [] Exploring Operation: 1*1=1, Resulting Numbers: [16, 13, 1] Generated Node #2: [16, 13, 1] from Operation: 1*1=1 Current State: 29:[16, 13, 1], Operations: ['1*1=1'] Exploring Operation: 16+13=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 16+13=29 Current State: 29:[1, 29], Operations: ['1*1=1', '16+13=29'] Exploring Operation: 1*29=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 62, 3, 17, 43 ]
84
[ "62-17=45", "3*43=129", "129-45=84" ]
Current State: 84:[62, 3, 17, 43], Operations: [] Exploring Operation: 62-17=45, Resulting Numbers: [3, 43, 45] Generated Node #2: [3, 43, 45] from Operation: 62-17=45 Current State: 84:[3, 43, 45], Operations: ['62-17=45'] Exploring Operation: 3*43=129, Resulting Numbers: [45, 129] Generated Node #3: [45, 129] from Operation: 3*43=129 Current State: 84:[45, 129], Operations: ['62-17=45', '3*43=129'] Exploring Operation: 129-45=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 69, 41, 36, 32 ]
32
[ "69-41=28", "36-32=4", "28+4=32" ]
Current State: 32:[69, 41, 36, 32], Operations: [] Exploring Operation: 69-41=28, Resulting Numbers: [36, 32, 28] Generated Node #2: [36, 32, 28] from Operation: 69-41=28 Current State: 32:[36, 32, 28], Operations: ['69-41=28'] Exploring Operation: 36-32=4, Resulting Numbers: [28, 4] Generated Node #3: [28, 4] from Operation: 36-32=4 Current State: 32:[28, 4], Operations: ['69-41=28', '36-32=4'] Exploring Operation: 28+4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 6, 63, 15 ]
47
[ "63+15=78", "78/6=13", "60-13=47" ]
Current State: 47:[60, 6, 63, 15], Operations: [] Exploring Operation: 63+15=78, Resulting Numbers: [60, 6, 78] Generated Node #2: [60, 6, 78] from Operation: 63+15=78 Current State: 47:[60, 6, 78], Operations: ['63+15=78'] Exploring Operation: 78/6=13, Resulting Numbers: [60, 13] Generated Node #3: [60, 13] from Operation: 78/6=13 Current State: 47:[60, 13], Operations: ['63+15=78', '78/6=13'] Exploring Operation: 60-13=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 36, 75, 78, 29 ]
41
[ "78-75=3", "36/3=12", "29+12=41" ]
Current State: 41:[36, 75, 78, 29], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [36, 29, 3] Generated Node #2: [36, 29, 3] from Operation: 78-75=3 Current State: 41:[36, 29, 3], Operations: ['78-75=3'] Exploring Operation: 36/3=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 36/3=12 Current State: 41:[29, 12], Operations: ['78-75=3', '36/3=12'] Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 98, 54, 36 ]
11
[ "36-32=4", "98-54=44", "44/4=11" ]
Current State: 11:[32, 98, 54, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [98, 54, 4] Generated Node #2: [98, 54, 4] from Operation: 36-32=4 Current State: 11:[98, 54, 4], Operations: ['36-32=4'] Exploring Operation: 98-54=44, Resulting Numbers: [4, 44] Generated Node #3: [4, 44] from Operation: 98-54=44 Current State: 11:[4, 44], Operations: ['36-32=4', '98-54=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 68, 40, 36, 38 ]
48
[ "68-38=30", "40*36=1440", "1440/30=48" ]
Current State: 48:[68, 40, 36, 38], Operations: [] Exploring Operation: 68-38=30, Resulting Numbers: [40, 36, 30] Generated Node #2: [40, 36, 30] from Operation: 68-38=30 Current State: 48:[40, 36, 30], Operations: ['68-38=30'] Exploring Operation: 40*36=1440, Resulting Numbers: [30, 1440] Generated Node #3: [30, 1440] from Operation: 40*36=1440 Current State: 48:[30, 1440], Operations: ['68-38=30', '40*36=1440'] Exploring Operation: 1440/30=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 18, 51, 49, 17 ]
34
[ "49-18=31", "51/17=3", "31+3=34" ]
Current State: 34:[18, 51, 49, 17], Operations: [] Exploring Operation: 49-18=31, Resulting Numbers: [51, 17, 31] Generated Node #2: [51, 17, 31] from Operation: 49-18=31 Current State: 34:[51, 17, 31], Operations: ['49-18=31'] Exploring Operation: 51/17=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 51/17=3 Current State: 34:[31, 3], Operations: ['49-18=31', '51/17=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 52, 44, 1, 89 ]
96
[ "52-44=8", "89-1=88", "8+88=96" ]
Current State: 96:[52, 44, 1, 89], Operations: [] Exploring Operation: 52-44=8, Resulting Numbers: [1, 89, 8] Generated Node #2: [1, 89, 8] from Operation: 52-44=8 Current State: 96:[1, 89, 8], Operations: ['52-44=8'] Exploring Operation: 89-1=88, Resulting Numbers: [8, 88] Generated Node #3: [8, 88] from Operation: 89-1=88 Current State: 96:[8, 88], Operations: ['52-44=8', '89-1=88'] Exploring Operation: 8+88=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 80, 32, 49, 64 ]
18
[ "64/32=2", "49*2=98", "98-80=18" ]
Current State: 18:[80, 32, 49, 64], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [80, 49, 2] Generated Node #2: [80, 49, 2] from Operation: 64/32=2 Current State: 18:[80, 49, 2], Operations: ['64/32=2'] Exploring Operation: 49*2=98, Resulting Numbers: [80, 98] Generated Node #3: [80, 98] from Operation: 49*2=98 Current State: 18:[80, 98], Operations: ['64/32=2', '49*2=98'] Exploring Operation: 98-80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 60, 11, 20, 23 ]
100
[ "60*20=1200", "23-11=12", "1200/12=100" ]
Current State: 100:[60, 11, 20, 23], Operations: [] Exploring Operation: 60*20=1200, Resulting Numbers: [11, 23, 1200] Generated Node #2: [11, 23, 1200] from Operation: 60*20=1200 Current State: 100:[11, 23, 1200], Operations: ['60*20=1200'] Exploring Operation: 23-11=12, Resulting Numbers: [1200, 12] Generated Node #3: [1200, 12] from Operation: 23-11=12 Current State: 100:[1200, 12], Operations: ['60*20=1200', '23-11=12'] Exploring Operation: 1200/12=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 87, 4, 44 ]
100
[ "61+87=148", "4+44=48", "148-48=100" ]
Current State: 100:[61, 87, 4, 44], Operations: [] Exploring Operation: 61+87=148, Resulting Numbers: [4, 44, 148] Generated Node #2: [4, 44, 148] from Operation: 61+87=148 Current State: 100:[4, 44, 148], Operations: ['61+87=148'] Exploring Operation: 4+44=48, Resulting Numbers: [148, 48] Generated Node #3: [148, 48] from Operation: 4+44=48 Current State: 100:[148, 48], Operations: ['61+87=148', '4+44=48'] Exploring Operation: 148-48=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 55, 30, 80, 26 ]
31
[ "55+30=85", "80-26=54", "85-54=31" ]
Current State: 31:[55, 30, 80, 26], Operations: [] Exploring Operation: 55+30=85, Resulting Numbers: [80, 26, 85] Generated Node #2: [80, 26, 85] from Operation: 55+30=85 Current State: 31:[80, 26, 85], Operations: ['55+30=85'] Exploring Operation: 80-26=54, Resulting Numbers: [85, 54] Generated Node #3: [85, 54] from Operation: 80-26=54 Current State: 31:[85, 54], Operations: ['55+30=85', '80-26=54'] Exploring Operation: 85-54=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 94, 81, 87, 94 ]
81
[ "94-94=0", "87*0=0", "81+0=81" ]
Current State: 81:[94, 81, 87, 94], Operations: [] Exploring Operation: 94-94=0, Resulting Numbers: [81, 87, 0] Generated Node #2: [81, 87, 0] from Operation: 94-94=0 Current State: 81:[81, 87, 0], Operations: ['94-94=0'] Exploring Operation: 87*0=0, Resulting Numbers: [81, 0] Generated Node #3: [81, 0] from Operation: 87*0=0 Current State: 81:[81, 0], Operations: ['94-94=0', '87*0=0'] Exploring Operation: 81+0=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 10, 37, 46, 6 ]
23
[ "10*6=60", "37+46=83", "83-60=23" ]
Current State: 23:[10, 37, 46, 6], Operations: [] Exploring Operation: 10*6=60, Resulting Numbers: [37, 46, 60] Generated Node #2: [37, 46, 60] from Operation: 10*6=60 Current State: 23:[37, 46, 60], Operations: ['10*6=60'] Exploring Operation: 37+46=83, Resulting Numbers: [60, 83] Generated Node #3: [60, 83] from Operation: 37+46=83 Current State: 23:[60, 83], Operations: ['10*6=60', '37+46=83'] Exploring Operation: 83-60=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 54, 73, 21 ]
41
[ "8*21=168", "54+73=127", "168-127=41" ]
Current State: 41:[8, 54, 73, 21], Operations: [] Exploring Operation: 8*21=168, Resulting Numbers: [54, 73, 168] Generated Node #2: [54, 73, 168] from Operation: 8*21=168 Current State: 41:[54, 73, 168], Operations: ['8*21=168'] Exploring Operation: 54+73=127, Resulting Numbers: [168, 127] Generated Node #3: [168, 127] from Operation: 54+73=127 Current State: 41:[168, 127], Operations: ['8*21=168', '54+73=127'] Exploring Operation: 168-127=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 60, 39, 61 ]
51
[ "66-61=5", "60/5=12", "39+12=51" ]
Current State: 51:[66, 60, 39, 61], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [60, 39, 5] Generated Node #2: [60, 39, 5] from Operation: 66-61=5 Current State: 51:[60, 39, 5], Operations: ['66-61=5'] Exploring Operation: 60/5=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 60/5=12 Current State: 51:[39, 12], Operations: ['66-61=5', '60/5=12'] Exploring Operation: 39+12=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 64, 29, 35, 6 ]
27
[ "64+6=70", "70/35=2", "29-2=27" ]
Current State: 27:[64, 29, 35, 6], Operations: [] Exploring Operation: 64+6=70, Resulting Numbers: [29, 35, 70] Generated Node #2: [29, 35, 70] from Operation: 64+6=70 Current State: 27:[29, 35, 70], Operations: ['64+6=70'] Exploring Operation: 70/35=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 70/35=2 Current State: 27:[29, 2], Operations: ['64+6=70', '70/35=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 60, 69, 63, 40 ]
14
[ "69-60=9", "63-40=23", "23-9=14" ]
Current State: 14:[60, 69, 63, 40], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [63, 40, 9] Generated Node #2: [63, 40, 9] from Operation: 69-60=9 Current State: 14:[63, 40, 9], Operations: ['69-60=9'] Exploring Operation: 63-40=23, Resulting Numbers: [9, 23] Generated Node #3: [9, 23] from Operation: 63-40=23 Current State: 14:[9, 23], Operations: ['69-60=9', '63-40=23'] Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 41, 18, 37, 49 ]
11
[ "41-18=23", "49-37=12", "23-12=11" ]
Current State: 11:[41, 18, 37, 49], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [37, 49, 23] Generated Node #2: [37, 49, 23] from Operation: 41-18=23 Current State: 11:[37, 49, 23], Operations: ['41-18=23'] Exploring Operation: 49-37=12, Resulting Numbers: [23, 12] Generated Node #3: [23, 12] from Operation: 49-37=12 Current State: 11:[23, 12], Operations: ['41-18=23', '49-37=12'] Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 76, 6, 38, 88 ]
40
[ "88-76=12", "12/6=2", "38+2=40" ]
Current State: 40:[76, 6, 38, 88], Operations: [] Exploring Operation: 88-76=12, Resulting Numbers: [6, 38, 12] Generated Node #2: [6, 38, 12] from Operation: 88-76=12 Current State: 40:[6, 38, 12], Operations: ['88-76=12'] Exploring Operation: 12/6=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 12/6=2 Current State: 40:[38, 2], Operations: ['88-76=12', '12/6=2'] Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 97, 90, 15 ]
83
[ "6*15=90", "97-90=7", "90-7=83" ]
Current State: 83:[6, 97, 90, 15], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [97, 90, 90] Generated Node #2: [97, 90, 90] from Operation: 6*15=90 Current State: 83:[97, 90, 90], Operations: ['6*15=90'] Exploring Operation: 97-90=7, Resulting Numbers: [7] 7,83 equal: Goal Reached Exploring Operation: 90-7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 8, 2, 8, 40 ]
78
[ "8/8=1", "40-1=39", "2*39=78" ]
Current State: 78:[8, 2, 8, 40], Operations: [] Exploring Operation: 8/8=1, Resulting Numbers: [2, 40, 1] Generated Node #2: [2, 40, 1] from Operation: 8/8=1 Current State: 78:[2, 40, 1], Operations: ['8/8=1'] Exploring Operation: 40-1=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 40-1=39 Current State: 78:[2, 39], Operations: ['8/8=1', '40-1=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 37, 15, 54, 32 ]
57
[ "37-32=5", "15/5=3", "54+3=57" ]
Current State: 57:[37, 15, 54, 32], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [15, 54, 5] Generated Node #2: [15, 54, 5] from Operation: 37-32=5 Current State: 57:[15, 54, 5], Operations: ['37-32=5'] Exploring Operation: 15/5=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 15/5=3 Current State: 57:[54, 3], Operations: ['37-32=5', '15/5=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 46, 29, 53, 58 ]
76
[ "46*29=1334", "1334/58=23", "53+23=76" ]
Current State: 76:[46, 29, 53, 58], Operations: [] Exploring Operation: 46*29=1334, Resulting Numbers: [53, 58, 1334] Generated Node #2: [53, 58, 1334] from Operation: 46*29=1334 Current State: 76:[53, 58, 1334], Operations: ['46*29=1334'] Exploring Operation: 1334/58=23, Resulting Numbers: [53, 23] Generated Node #3: [53, 23] from Operation: 1334/58=23 Current State: 76:[53, 23], Operations: ['46*29=1334', '1334/58=23'] Exploring Operation: 53+23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 87, 35, 12, 29 ]
93
[ "87*35=3045", "3045/29=105", "105-12=93" ]
Current State: 93:[87, 35, 12, 29], Operations: [] Exploring Operation: 87*35=3045, Resulting Numbers: [12, 29, 3045] Generated Node #2: [12, 29, 3045] from Operation: 87*35=3045 Current State: 93:[12, 29, 3045], Operations: ['87*35=3045'] Exploring Operation: 3045/29=105, Resulting Numbers: [12, 105] Generated Node #3: [12, 105] from Operation: 3045/29=105 Current State: 93:[12, 105], Operations: ['87*35=3045', '3045/29=105'] Exploring Operation: 105-12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 42, 40, 5, 2 ]
68
[ "40/5=8", "42-8=34", "2*34=68" ]
Current State: 68:[42, 40, 5, 2], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [42, 2, 8] Generated Node #2: [42, 2, 8] from Operation: 40/5=8 Current State: 68:[42, 2, 8], Operations: ['40/5=8'] Exploring Operation: 42-8=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 42-8=34 Current State: 68:[2, 34], Operations: ['40/5=8', '42-8=34'] Exploring Operation: 2*34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 14, 27, 9 ]
22
[ "1*14=14", "27+9=36", "36-14=22" ]
Current State: 22:[1, 14, 27, 9], Operations: [] Exploring Operation: 1*14=14, Resulting Numbers: [27, 9, 14] Generated Node #2: [27, 9, 14] from Operation: 1*14=14 Current State: 22:[27, 9, 14], Operations: ['1*14=14'] Exploring Operation: 27+9=36, Resulting Numbers: [14, 36] Generated Node #3: [14, 36] from Operation: 27+9=36 Current State: 22:[14, 36], Operations: ['1*14=14', '27+9=36'] Exploring Operation: 36-14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 20, 97, 84, 21 ]
14
[ "97-20=77", "84-21=63", "77-63=14" ]
Current State: 14:[20, 97, 84, 21], Operations: [] Exploring Operation: 97-20=77, Resulting Numbers: [84, 21, 77] Generated Node #2: [84, 21, 77] from Operation: 97-20=77 Current State: 14:[84, 21, 77], Operations: ['97-20=77'] Exploring Operation: 84-21=63, Resulting Numbers: [77, 63] Generated Node #3: [77, 63] from Operation: 84-21=63 Current State: 14:[77, 63], Operations: ['97-20=77', '84-21=63'] Exploring Operation: 77-63=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 6, 71, 74, 46 ]
49
[ "6+71=77", "74-46=28", "77-28=49" ]
Current State: 49:[6, 71, 74, 46], Operations: [] Exploring Operation: 6+71=77, Resulting Numbers: [74, 46, 77] Generated Node #2: [74, 46, 77] from Operation: 6+71=77 Current State: 49:[74, 46, 77], Operations: ['6+71=77'] Exploring Operation: 74-46=28, Resulting Numbers: [77, 28] Generated Node #3: [77, 28] from Operation: 74-46=28 Current State: 49:[77, 28], Operations: ['6+71=77', '74-46=28'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 73, 40, 50 ]
80
[ "17+73=90", "50-40=10", "90-10=80" ]
Current State: 80:[17, 73, 40, 50], Operations: [] Exploring Operation: 17+73=90, Resulting Numbers: [40, 50, 90] Generated Node #2: [40, 50, 90] from Operation: 17+73=90 Current State: 80:[40, 50, 90], Operations: ['17+73=90'] Exploring Operation: 50-40=10, Resulting Numbers: [90, 10] Generated Node #3: [90, 10] from Operation: 50-40=10 Current State: 80:[90, 10], Operations: ['17+73=90', '50-40=10'] Exploring Operation: 90-10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 2, 24, 22, 7 ]
85
[ "24+22=46", "2*46=92", "92-7=85" ]
Current State: 85:[2, 24, 22, 7], Operations: [] Exploring Operation: 24+22=46, Resulting Numbers: [2, 7, 46] Generated Node #2: [2, 7, 46] from Operation: 24+22=46 Current State: 85:[2, 7, 46], Operations: ['24+22=46'] Exploring Operation: 2*46=92, Resulting Numbers: [7, 92] Generated Node #3: [7, 92] from Operation: 2*46=92 Current State: 85:[7, 92], Operations: ['24+22=46', '2*46=92'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 43, 59, 42, 79 ]
20
[ "43-42=1", "79-59=20", "1*20=20" ]
Current State: 20:[43, 59, 42, 79], Operations: [] Exploring Operation: 43-42=1, Resulting Numbers: [59, 79, 1] Generated Node #2: [59, 79, 1] from Operation: 43-42=1 Current State: 20:[59, 79, 1], Operations: ['43-42=1'] Exploring Operation: 79-59=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 79-59=20 Current State: 20:[1, 20], Operations: ['43-42=1', '79-59=20'] Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 54, 16, 29, 84 ]
43
[ "54+16=70", "29+84=113", "113-70=43" ]
Current State: 43:[54, 16, 29, 84], Operations: [] Exploring Operation: 54+16=70, Resulting Numbers: [29, 84, 70] Generated Node #2: [29, 84, 70] from Operation: 54+16=70 Current State: 43:[29, 84, 70], Operations: ['54+16=70'] Exploring Operation: 29+84=113, Resulting Numbers: [70, 113] Generated Node #3: [70, 113] from Operation: 29+84=113 Current State: 43:[70, 113], Operations: ['54+16=70', '29+84=113'] Exploring Operation: 113-70=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 36, 15, 46 ]
99
[ "74-36=38", "15+46=61", "38+61=99" ]
Current State: 99:[74, 36, 15, 46], Operations: [] Exploring Operation: 74-36=38, Resulting Numbers: [15, 46, 38] Generated Node #2: [15, 46, 38] from Operation: 74-36=38 Current State: 99:[15, 46, 38], Operations: ['74-36=38'] Exploring Operation: 15+46=61, Resulting Numbers: [38, 61] Generated Node #3: [38, 61] from Operation: 15+46=61 Current State: 99:[38, 61], Operations: ['74-36=38', '15+46=61'] Exploring Operation: 38+61=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 14, 36, 27, 32 ]
38
[ "27*32=864", "864/36=24", "14+24=38" ]
Current State: 38:[14, 36, 27, 32], Operations: [] Exploring Operation: 27*32=864, Resulting Numbers: [14, 36, 864] Generated Node #2: [14, 36, 864] from Operation: 27*32=864 Current State: 38:[14, 36, 864], Operations: ['27*32=864'] Exploring Operation: 864/36=24, Resulting Numbers: [14, 24] Generated Node #3: [14, 24] from Operation: 864/36=24 Current State: 38:[14, 24], Operations: ['27*32=864', '864/36=24'] Exploring Operation: 14+24=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 11, 6, 54, 23 ]
18
[ "23-11=12", "6*12=72", "72-54=18" ]
Current State: 18:[11, 6, 54, 23], Operations: [] Exploring Operation: 23-11=12, Resulting Numbers: [6, 54, 12] Generated Node #2: [6, 54, 12] from Operation: 23-11=12 Current State: 18:[6, 54, 12], Operations: ['23-11=12'] Exploring Operation: 6*12=72, Resulting Numbers: [54, 72] Generated Node #3: [54, 72] from Operation: 6*12=72 Current State: 18:[54, 72], Operations: ['23-11=12', '6*12=72'] Exploring Operation: 72-54=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 23, 32, 24, 40 ]
28
[ "23*40=920", "920-24=896", "896/32=28" ]
Current State: 28:[23, 32, 24, 40], Operations: [] Exploring Operation: 23*40=920, Resulting Numbers: [32, 24, 920] Generated Node #2: [32, 24, 920] from Operation: 23*40=920 Current State: 28:[32, 24, 920], Operations: ['23*40=920'] Exploring Operation: 920-24=896, Resulting Numbers: [32, 896] Generated Node #3: [32, 896] from Operation: 920-24=896 Current State: 28:[32, 896], Operations: ['23*40=920', '920-24=896'] Exploring Operation: 896/32=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 5, 60, 92, 93 ]
73
[ "93-60=33", "5*33=165", "165-92=73" ]
Current State: 73:[5, 60, 92, 93], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [5, 92, 33] Generated Node #2: [5, 92, 33] from Operation: 93-60=33 Current State: 73:[5, 92, 33], Operations: ['93-60=33'] Exploring Operation: 5*33=165, Resulting Numbers: [92, 165] Generated Node #3: [92, 165] from Operation: 5*33=165 Current State: 73:[92, 165], Operations: ['93-60=33', '5*33=165'] Exploring Operation: 165-92=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 46, 6, 62, 40 ]
29
[ "62+40=102", "102/6=17", "46-17=29" ]
Current State: 29:[46, 6, 62, 40], Operations: [] Exploring Operation: 62+40=102, Resulting Numbers: [46, 6, 102] Generated Node #2: [46, 6, 102] from Operation: 62+40=102 Current State: 29:[46, 6, 102], Operations: ['62+40=102'] Exploring Operation: 102/6=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 102/6=17 Current State: 29:[46, 17], Operations: ['62+40=102', '102/6=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 1, 4, 8, 70 ]
59
[ "4-1=3", "70-8=62", "62-3=59" ]
Current State: 59:[1, 4, 8, 70], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [8, 70, 3] Generated Node #2: [8, 70, 3] from Operation: 4-1=3 Current State: 59:[8, 70, 3], Operations: ['4-1=3'] Exploring Operation: 70-8=62, Resulting Numbers: [3, 62] Generated Node #3: [3, 62] from Operation: 70-8=62 Current State: 59:[3, 62], Operations: ['4-1=3', '70-8=62'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 26, 49, 82, 71 ]
64
[ "26+49=75", "82-71=11", "75-11=64" ]
Current State: 64:[26, 49, 82, 71], Operations: [] Exploring Operation: 26+49=75, Resulting Numbers: [82, 71, 75] Generated Node #2: [82, 71, 75] from Operation: 26+49=75 Current State: 64:[82, 71, 75], Operations: ['26+49=75'] Exploring Operation: 82-71=11, Resulting Numbers: [75, 11] Generated Node #3: [75, 11] from Operation: 82-71=11 Current State: 64:[75, 11], Operations: ['26+49=75', '82-71=11'] Exploring Operation: 75-11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 52, 54, 27, 51 ]
61
[ "54-51=3", "27/3=9", "52+9=61" ]
Current State: 61:[52, 54, 27, 51], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [52, 27, 3] Generated Node #2: [52, 27, 3] from Operation: 54-51=3 Current State: 61:[52, 27, 3], Operations: ['54-51=3'] Exploring Operation: 27/3=9, Resulting Numbers: [52, 9] Generated Node #3: [52, 9] from Operation: 27/3=9 Current State: 61:[52, 9], Operations: ['54-51=3', '27/3=9'] Exploring Operation: 52+9=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 10, 49, 3, 15 ]
69
[ "49-3=46", "15*46=690", "690/10=69" ]
Current State: 69:[10, 49, 3, 15], Operations: [] Exploring Operation: 49-3=46, Resulting Numbers: [10, 15, 46] Generated Node #2: [10, 15, 46] from Operation: 49-3=46 Current State: 69:[10, 15, 46], Operations: ['49-3=46'] Exploring Operation: 15*46=690, Resulting Numbers: [10, 690] Generated Node #3: [10, 690] from Operation: 15*46=690 Current State: 69:[10, 690], Operations: ['49-3=46', '15*46=690'] Exploring Operation: 690/10=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 6, 90, 51, 68 ]
79
[ "6+90=96", "68-51=17", "96-17=79" ]
Current State: 79:[6, 90, 51, 68], Operations: [] Exploring Operation: 6+90=96, Resulting Numbers: [51, 68, 96] Generated Node #2: [51, 68, 96] from Operation: 6+90=96 Current State: 79:[51, 68, 96], Operations: ['6+90=96'] Exploring Operation: 68-51=17, Resulting Numbers: [96, 17] Generated Node #3: [96, 17] from Operation: 68-51=17 Current State: 79:[96, 17], Operations: ['6+90=96', '68-51=17'] Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 69, 59, 99, 18 ]
71
[ "69-59=10", "99-18=81", "81-10=71" ]
Current State: 71:[69, 59, 99, 18], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [99, 18, 10] Generated Node #2: [99, 18, 10] from Operation: 69-59=10 Current State: 71:[99, 18, 10], Operations: ['69-59=10'] Exploring Operation: 99-18=81, Resulting Numbers: [10, 81] Generated Node #3: [10, 81] from Operation: 99-18=81 Current State: 71:[10, 81], Operations: ['69-59=10', '99-18=81'] Exploring Operation: 81-10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 17, 39, 89 ]
77
[ "34+17=51", "39+89=128", "128-51=77" ]
Current State: 77:[34, 17, 39, 89], Operations: [] Exploring Operation: 34+17=51, Resulting Numbers: [39, 89, 51] Generated Node #2: [39, 89, 51] from Operation: 34+17=51 Current State: 77:[39, 89, 51], Operations: ['34+17=51'] Exploring Operation: 39+89=128, Resulting Numbers: [51, 128] Generated Node #3: [51, 128] from Operation: 39+89=128 Current State: 77:[51, 128], Operations: ['34+17=51', '39+89=128'] Exploring Operation: 128-51=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 57, 20, 42, 60 ]
43
[ "20*42=840", "840/60=14", "57-14=43" ]
Current State: 43:[57, 20, 42, 60], Operations: [] Exploring Operation: 20*42=840, Resulting Numbers: [57, 60, 840] Generated Node #2: [57, 60, 840] from Operation: 20*42=840 Current State: 43:[57, 60, 840], Operations: ['20*42=840'] Exploring Operation: 840/60=14, Resulting Numbers: [57, 14] Generated Node #3: [57, 14] from Operation: 840/60=14 Current State: 43:[57, 14], Operations: ['20*42=840', '840/60=14'] Exploring Operation: 57-14=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 80, 75, 76, 41 ]
30
[ "80-75=5", "76-41=35", "35-5=30" ]
Current State: 30:[80, 75, 76, 41], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [76, 41, 5] Generated Node #2: [76, 41, 5] from Operation: 80-75=5 Current State: 30:[76, 41, 5], Operations: ['80-75=5'] Exploring Operation: 76-41=35, Resulting Numbers: [5, 35] Generated Node #3: [5, 35] from Operation: 76-41=35 Current State: 30:[5, 35], Operations: ['80-75=5', '76-41=35'] Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 35, 35, 52, 15 ]
52
[ "35-35=0", "15*0=0", "52+0=52" ]
Current State: 52:[35, 35, 52, 15], Operations: [] Exploring Operation: 35-35=0, Resulting Numbers: [52, 15, 0] Generated Node #2: [52, 15, 0] from Operation: 35-35=0 Current State: 52:[52, 15, 0], Operations: ['35-35=0'] Exploring Operation: 15*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 15*0=0 Current State: 52:[52, 0], Operations: ['35-35=0', '15*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 12, 71, 62, 99 ]
78
[ "12+71=83", "62+99=161", "161-83=78" ]
Current State: 78:[12, 71, 62, 99], Operations: [] Exploring Operation: 12+71=83, Resulting Numbers: [62, 99, 83] Generated Node #2: [62, 99, 83] from Operation: 12+71=83 Current State: 78:[62, 99, 83], Operations: ['12+71=83'] Exploring Operation: 62+99=161, Resulting Numbers: [83, 161] Generated Node #3: [83, 161] from Operation: 62+99=161 Current State: 78:[83, 161], Operations: ['12+71=83', '62+99=161'] Exploring Operation: 161-83=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 26, 28, 72, 4 ]
91
[ "26+72=98", "28/4=7", "98-7=91" ]
Current State: 91:[26, 28, 72, 4], Operations: [] Exploring Operation: 26+72=98, Resulting Numbers: [28, 4, 98] Generated Node #2: [28, 4, 98] from Operation: 26+72=98 Current State: 91:[28, 4, 98], Operations: ['26+72=98'] Exploring Operation: 28/4=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 28/4=7 Current State: 91:[98, 7], Operations: ['26+72=98', '28/4=7'] Exploring Operation: 98-7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 14, 72, 2, 34 ]
39
[ "72-2=70", "70/14=5", "34+5=39" ]
Current State: 39:[14, 72, 2, 34], Operations: [] Exploring Operation: 72-2=70, Resulting Numbers: [14, 34, 70] Generated Node #2: [14, 34, 70] from Operation: 72-2=70 Current State: 39:[14, 34, 70], Operations: ['72-2=70'] Exploring Operation: 70/14=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 70/14=5 Current State: 39:[34, 5], Operations: ['72-2=70', '70/14=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 63, 22, 51, 41 ]
51
[ "63-22=41", "51+41=92", "92-41=51" ]
Current State: 51:[63, 22, 51, 41], Operations: [] Exploring Operation: 63-22=41, Resulting Numbers: [51, 41, 41] Generated Node #2: [51, 41, 41] from Operation: 63-22=41 Current State: 51:[51, 41, 41], Operations: ['63-22=41'] Exploring Operation: 51+41=92, Resulting Numbers: [92] 92,51 equal: Goal Reached Exploring Operation: 92-41=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 7, 69, 78, 74 ]
95
[ "69+78=147", "147/7=21", "74+21=95" ]
Current State: 95:[7, 69, 78, 74], Operations: [] Exploring Operation: 69+78=147, Resulting Numbers: [7, 74, 147] Generated Node #2: [7, 74, 147] from Operation: 69+78=147 Current State: 95:[7, 74, 147], Operations: ['69+78=147'] Exploring Operation: 147/7=21, Resulting Numbers: [74, 21] Generated Node #3: [74, 21] from Operation: 147/7=21 Current State: 95:[74, 21], Operations: ['69+78=147', '147/7=21'] Exploring Operation: 74+21=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 74, 50, 72, 53 ]
56
[ "74-50=24", "72/24=3", "53+3=56" ]
Current State: 56:[74, 50, 72, 53], Operations: [] Exploring Operation: 74-50=24, Resulting Numbers: [72, 53, 24] Generated Node #2: [72, 53, 24] from Operation: 74-50=24 Current State: 56:[72, 53, 24], Operations: ['74-50=24'] Exploring Operation: 72/24=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 72/24=3 Current State: 56:[53, 3], Operations: ['74-50=24', '72/24=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 68, 79, 95, 25 ]
77
[ "68+79=147", "95-25=70", "147-70=77" ]
Current State: 77:[68, 79, 95, 25], Operations: [] Exploring Operation: 68+79=147, Resulting Numbers: [95, 25, 147] Generated Node #2: [95, 25, 147] from Operation: 68+79=147 Current State: 77:[95, 25, 147], Operations: ['68+79=147'] Exploring Operation: 95-25=70, Resulting Numbers: [147, 70] Generated Node #3: [147, 70] from Operation: 95-25=70 Current State: 77:[147, 70], Operations: ['68+79=147', '95-25=70'] Exploring Operation: 147-70=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 3, 35, 77, 56 ]
53
[ "35-3=32", "77-56=21", "32+21=53" ]
Current State: 53:[3, 35, 77, 56], Operations: [] Exploring Operation: 35-3=32, Resulting Numbers: [77, 56, 32] Generated Node #2: [77, 56, 32] from Operation: 35-3=32 Current State: 53:[77, 56, 32], Operations: ['35-3=32'] Exploring Operation: 77-56=21, Resulting Numbers: [32, 21] Generated Node #3: [32, 21] from Operation: 77-56=21 Current State: 53:[32, 21], Operations: ['35-3=32', '77-56=21'] Exploring Operation: 32+21=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 52, 22, 59, 94 ]
39
[ "52+22=74", "94-59=35", "74-35=39" ]
Current State: 39:[52, 22, 59, 94], Operations: [] Exploring Operation: 52+22=74, Resulting Numbers: [59, 94, 74] Generated Node #2: [59, 94, 74] from Operation: 52+22=74 Current State: 39:[59, 94, 74], Operations: ['52+22=74'] Exploring Operation: 94-59=35, Resulting Numbers: [74, 35] Generated Node #3: [74, 35] from Operation: 94-59=35 Current State: 39:[74, 35], Operations: ['52+22=74', '94-59=35'] Exploring Operation: 74-35=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 4, 23, 85 ]
16
[ "50-4=46", "85-23=62", "62-46=16" ]
Current State: 16:[50, 4, 23, 85], Operations: [] Exploring Operation: 50-4=46, Resulting Numbers: [23, 85, 46] Generated Node #2: [23, 85, 46] from Operation: 50-4=46 Current State: 16:[23, 85, 46], Operations: ['50-4=46'] Exploring Operation: 85-23=62, Resulting Numbers: [46, 62] Generated Node #3: [46, 62] from Operation: 85-23=62 Current State: 16:[46, 62], Operations: ['50-4=46', '85-23=62'] Exploring Operation: 62-46=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 81, 65, 83, 57 ]
61
[ "83-81=2", "65+57=122", "122/2=61" ]
Current State: 61:[81, 65, 83, 57], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [65, 57, 2] Generated Node #2: [65, 57, 2] from Operation: 83-81=2 Current State: 61:[65, 57, 2], Operations: ['83-81=2'] Exploring Operation: 65+57=122, Resulting Numbers: [2, 122] Generated Node #3: [2, 122] from Operation: 65+57=122 Current State: 61:[2, 122], Operations: ['83-81=2', '65+57=122'] Exploring Operation: 122/2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 37, 15, 14, 45 ]
81
[ "37-15=22", "14+45=59", "22+59=81" ]
Current State: 81:[37, 15, 14, 45], Operations: [] Exploring Operation: 37-15=22, Resulting Numbers: [14, 45, 22] Generated Node #2: [14, 45, 22] from Operation: 37-15=22 Current State: 81:[14, 45, 22], Operations: ['37-15=22'] Exploring Operation: 14+45=59, Resulting Numbers: [22, 59] Generated Node #3: [22, 59] from Operation: 14+45=59 Current State: 81:[22, 59], Operations: ['37-15=22', '14+45=59'] Exploring Operation: 22+59=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 52, 94, 98, 47 ]
95
[ "52+94=146", "98-47=51", "146-51=95" ]
Current State: 95:[52, 94, 98, 47], Operations: [] Exploring Operation: 52+94=146, Resulting Numbers: [98, 47, 146] Generated Node #2: [98, 47, 146] from Operation: 52+94=146 Current State: 95:[98, 47, 146], Operations: ['52+94=146'] Exploring Operation: 98-47=51, Resulting Numbers: [146, 51] Generated Node #3: [146, 51] from Operation: 98-47=51 Current State: 95:[146, 51], Operations: ['52+94=146', '98-47=51'] Exploring Operation: 146-51=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 34, 2, 14, 14 ]
16
[ "34/2=17", "14/14=1", "17-1=16" ]
Current State: 16:[34, 2, 14, 14], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [14, 14, 17] Generated Node #2: [14, 14, 17] from Operation: 34/2=17 Current State: 16:[14, 14, 17], Operations: ['34/2=17'] Exploring Operation: 14/14=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 14/14=1 Current State: 16:[17, 1], Operations: ['34/2=17', '14/14=1'] Exploring Operation: 17-1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 13, 2, 43, 47 ]
75
[ "13+2=15", "43+47=90", "90-15=75" ]
Current State: 75:[13, 2, 43, 47], Operations: [] Exploring Operation: 13+2=15, Resulting Numbers: [43, 47, 15] Generated Node #2: [43, 47, 15] from Operation: 13+2=15 Current State: 75:[43, 47, 15], Operations: ['13+2=15'] Exploring Operation: 43+47=90, Resulting Numbers: [15, 90] Generated Node #3: [15, 90] from Operation: 43+47=90 Current State: 75:[15, 90], Operations: ['13+2=15', '43+47=90'] Exploring Operation: 90-15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 93, 54, 82, 17 ]
48
[ "93+54=147", "82+17=99", "147-99=48" ]
Current State: 48:[93, 54, 82, 17], Operations: [] Exploring Operation: 93+54=147, Resulting Numbers: [82, 17, 147] Generated Node #2: [82, 17, 147] from Operation: 93+54=147 Current State: 48:[82, 17, 147], Operations: ['93+54=147'] Exploring Operation: 82+17=99, Resulting Numbers: [147, 99] Generated Node #3: [147, 99] from Operation: 82+17=99 Current State: 48:[147, 99], Operations: ['93+54=147', '82+17=99'] Exploring Operation: 147-99=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 82, 92, 58, 71 ]
74
[ "82+92=174", "174/58=3", "71+3=74" ]
Current State: 74:[82, 92, 58, 71], Operations: [] Exploring Operation: 82+92=174, Resulting Numbers: [58, 71, 174] Generated Node #2: [58, 71, 174] from Operation: 82+92=174 Current State: 74:[58, 71, 174], Operations: ['82+92=174'] Exploring Operation: 174/58=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 174/58=3 Current State: 74:[71, 3], Operations: ['82+92=174', '174/58=3'] Exploring Operation: 71+3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 28, 18, 40, 76 ]
30
[ "76-40=36", "36/18=2", "28+2=30" ]
Current State: 30:[28, 18, 40, 76], Operations: [] Exploring Operation: 76-40=36, Resulting Numbers: [28, 18, 36] Generated Node #2: [28, 18, 36] from Operation: 76-40=36 Current State: 30:[28, 18, 36], Operations: ['76-40=36'] Exploring Operation: 36/18=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 36/18=2 Current State: 30:[28, 2], Operations: ['76-40=36', '36/18=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 79, 29, 91, 30 ]
83
[ "29+91=120", "120/30=4", "79+4=83" ]
Current State: 83:[79, 29, 91, 30], Operations: [] Exploring Operation: 29+91=120, Resulting Numbers: [79, 30, 120] Generated Node #2: [79, 30, 120] from Operation: 29+91=120 Current State: 83:[79, 30, 120], Operations: ['29+91=120'] Exploring Operation: 120/30=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 120/30=4 Current State: 83:[79, 4], Operations: ['29+91=120', '120/30=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 37, 3, 51, 72 ]
10
[ "51-37=14", "72/3=24", "24-14=10" ]
Current State: 10:[37, 3, 51, 72], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [3, 72, 14] Generated Node #2: [3, 72, 14] from Operation: 51-37=14 Current State: 10:[3, 72, 14], Operations: ['51-37=14'] Exploring Operation: 72/3=24, Resulting Numbers: [14, 24] Generated Node #3: [14, 24] from Operation: 72/3=24 Current State: 10:[14, 24], Operations: ['51-37=14', '72/3=24'] Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 79, 29, 4, 33 ]
95
[ "33-29=4", "4*4=16", "79+16=95" ]
Current State: 95:[79, 29, 4, 33], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [79, 4, 4] Generated Node #2: [79, 4, 4] from Operation: 33-29=4 Current State: 95:[79, 4, 4], Operations: ['33-29=4'] Exploring Operation: 4*4=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 4*4=16 Current State: 95:[79, 16], Operations: ['33-29=4', '4*4=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 99, 30, 49, 33 ]
77
[ "99*49=4851", "30+33=63", "4851/63=77" ]
Current State: 77:[99, 30, 49, 33], Operations: [] Exploring Operation: 99*49=4851, Resulting Numbers: [30, 33, 4851] Generated Node #2: [30, 33, 4851] from Operation: 99*49=4851 Current State: 77:[30, 33, 4851], Operations: ['99*49=4851'] Exploring Operation: 30+33=63, Resulting Numbers: [4851, 63] Generated Node #3: [4851, 63] from Operation: 30+33=63 Current State: 77:[4851, 63], Operations: ['99*49=4851', '30+33=63'] Exploring Operation: 4851/63=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 98, 73, 87, 75 ]
84
[ "98-73=25", "75/25=3", "87-3=84" ]
Current State: 84:[98, 73, 87, 75], Operations: [] Exploring Operation: 98-73=25, Resulting Numbers: [87, 75, 25] Generated Node #2: [87, 75, 25] from Operation: 98-73=25 Current State: 84:[87, 75, 25], Operations: ['98-73=25'] Exploring Operation: 75/25=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 75/25=3 Current State: 84:[87, 3], Operations: ['98-73=25', '75/25=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 38, 61, 1 ]
15
[ "2*38=76", "61*1=61", "76-61=15" ]
Current State: 15:[2, 38, 61, 1], Operations: [] Exploring Operation: 2*38=76, Resulting Numbers: [61, 1, 76] Generated Node #2: [61, 1, 76] from Operation: 2*38=76 Current State: 15:[61, 1, 76], Operations: ['2*38=76'] Exploring Operation: 61*1=61, Resulting Numbers: [76, 61] Generated Node #3: [76, 61] from Operation: 61*1=61 Current State: 15:[76, 61], Operations: ['2*38=76', '61*1=61'] Exploring Operation: 76-61=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 56, 76, 22, 9 ]
51
[ "76-56=20", "22+9=31", "20+31=51" ]
Current State: 51:[56, 76, 22, 9], Operations: [] Exploring Operation: 76-56=20, Resulting Numbers: [22, 9, 20] Generated Node #2: [22, 9, 20] from Operation: 76-56=20 Current State: 51:[22, 9, 20], Operations: ['76-56=20'] Exploring Operation: 22+9=31, Resulting Numbers: [20, 31] Generated Node #3: [20, 31] from Operation: 22+9=31 Current State: 51:[20, 31], Operations: ['76-56=20', '22+9=31'] Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 93, 87, 11, 32 ]
49
[ "93-87=6", "11+32=43", "6+43=49" ]
Current State: 49:[93, 87, 11, 32], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [11, 32, 6] Generated Node #2: [11, 32, 6] from Operation: 93-87=6 Current State: 49:[11, 32, 6], Operations: ['93-87=6'] Exploring Operation: 11+32=43, Resulting Numbers: [6, 43] Generated Node #3: [6, 43] from Operation: 11+32=43 Current State: 49:[6, 43], Operations: ['93-87=6', '11+32=43'] Exploring Operation: 6+43=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 62, 33, 35, 84 ]
44
[ "84-62=22", "35-33=2", "22*2=44" ]
Current State: 44:[62, 33, 35, 84], Operations: [] Exploring Operation: 84-62=22, Resulting Numbers: [33, 35, 22] Generated Node #2: [33, 35, 22] from Operation: 84-62=22 Current State: 44:[33, 35, 22], Operations: ['84-62=22'] Exploring Operation: 35-33=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 35-33=2 Current State: 44:[22, 2], Operations: ['84-62=22', '35-33=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 30, 35, 25, 45 ]
65
[ "35-30=5", "25+45=70", "70-5=65" ]
Current State: 65:[30, 35, 25, 45], Operations: [] Exploring Operation: 35-30=5, Resulting Numbers: [25, 45, 5] Generated Node #2: [25, 45, 5] from Operation: 35-30=5 Current State: 65:[25, 45, 5], Operations: ['35-30=5'] Exploring Operation: 25+45=70, Resulting Numbers: [5, 70] Generated Node #3: [5, 70] from Operation: 25+45=70 Current State: 65:[5, 70], Operations: ['35-30=5', '25+45=70'] Exploring Operation: 70-5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 43, 2, 9, 59 ]
27
[ "43-2=41", "9+59=68", "68-41=27" ]
Current State: 27:[43, 2, 9, 59], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [9, 59, 41] Generated Node #2: [9, 59, 41] from Operation: 43-2=41 Current State: 27:[9, 59, 41], Operations: ['43-2=41'] Exploring Operation: 9+59=68, Resulting Numbers: [41, 68] Generated Node #3: [41, 68] from Operation: 9+59=68 Current State: 27:[41, 68], Operations: ['43-2=41', '9+59=68'] Exploring Operation: 68-41=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 33, 11, 92, 5 ]
77
[ "33/11=3", "5*3=15", "92-15=77" ]
Current State: 77:[33, 11, 92, 5], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [92, 5, 3] Generated Node #2: [92, 5, 3] from Operation: 33/11=3 Current State: 77:[92, 5, 3], Operations: ['33/11=3'] Exploring Operation: 5*3=15, Resulting Numbers: [92, 15] Generated Node #3: [92, 15] from Operation: 5*3=15 Current State: 77:[92, 15], Operations: ['33/11=3', '5*3=15'] Exploring Operation: 92-15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 97, 65, 47, 19 ]
98
[ "97-65=32", "47+19=66", "32+66=98" ]
Current State: 98:[97, 65, 47, 19], Operations: [] Exploring Operation: 97-65=32, Resulting Numbers: [47, 19, 32] Generated Node #2: [47, 19, 32] from Operation: 97-65=32 Current State: 98:[47, 19, 32], Operations: ['97-65=32'] Exploring Operation: 47+19=66, Resulting Numbers: [32, 66] Generated Node #3: [32, 66] from Operation: 47+19=66 Current State: 98:[32, 66], Operations: ['97-65=32', '47+19=66'] Exploring Operation: 32+66=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 54, 14, 76, 6 ]
99
[ "54/6=9", "14+76=90", "9+90=99" ]
Current State: 99:[54, 14, 76, 6], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [14, 76, 9] Generated Node #2: [14, 76, 9] from Operation: 54/6=9 Current State: 99:[14, 76, 9], Operations: ['54/6=9'] Exploring Operation: 14+76=90, Resulting Numbers: [9, 90] Generated Node #3: [9, 90] from Operation: 14+76=90 Current State: 99:[9, 90], Operations: ['54/6=9', '14+76=90'] Exploring Operation: 9+90=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 21, 2, 80 ]
74
[ "98-21=77", "2*77=154", "154-80=74" ]
Current State: 74:[98, 21, 2, 80], Operations: [] Exploring Operation: 98-21=77, Resulting Numbers: [2, 80, 77] Generated Node #2: [2, 80, 77] from Operation: 98-21=77 Current State: 74:[2, 80, 77], Operations: ['98-21=77'] Exploring Operation: 2*77=154, Resulting Numbers: [80, 154] Generated Node #3: [80, 154] from Operation: 2*77=154 Current State: 74:[80, 154], Operations: ['98-21=77', '2*77=154'] Exploring Operation: 154-80=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 49, 13, 32, 8 ]
23
[ "49+32=81", "13*8=104", "104-81=23" ]
Current State: 23:[49, 13, 32, 8], Operations: [] Exploring Operation: 49+32=81, Resulting Numbers: [13, 8, 81] Generated Node #2: [13, 8, 81] from Operation: 49+32=81 Current State: 23:[13, 8, 81], Operations: ['49+32=81'] Exploring Operation: 13*8=104, Resulting Numbers: [81, 104] Generated Node #3: [81, 104] from Operation: 13*8=104 Current State: 23:[81, 104], Operations: ['49+32=81', '13*8=104'] Exploring Operation: 104-81=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 77, 89, 60, 18 ]
90
[ "89-77=12", "60+18=78", "12+78=90" ]
Current State: 90:[77, 89, 60, 18], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [60, 18, 12] Generated Node #2: [60, 18, 12] from Operation: 89-77=12 Current State: 90:[60, 18, 12], Operations: ['89-77=12'] Exploring Operation: 60+18=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 60+18=78 Current State: 90:[12, 78], Operations: ['89-77=12', '60+18=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 52, 6, 16, 80 ]
41
[ "52-6=46", "80/16=5", "46-5=41" ]
Current State: 41:[52, 6, 16, 80], Operations: [] Exploring Operation: 52-6=46, Resulting Numbers: [16, 80, 46] Generated Node #2: [16, 80, 46] from Operation: 52-6=46 Current State: 41:[16, 80, 46], Operations: ['52-6=46'] Exploring Operation: 80/16=5, Resulting Numbers: [46, 5] Generated Node #3: [46, 5] from Operation: 80/16=5 Current State: 41:[46, 5], Operations: ['52-6=46', '80/16=5'] Exploring Operation: 46-5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4