messages
listlengths 2
2
| nums
listlengths 4
4
| target
int64 10
199
| search_type
stringclasses 6
values | heuristic
stringclasses 2
values | rating
float64 0
1
|
|---|---|---|---|---|---|
[
{
"content": "Given the numbers [34, 3, 191, 78] and the target 199, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 199:[34, 3, 191, 78], Operations: []\nExploring Operation: 34*3=102, Resulting Numbers: [191, 78, 102]\nGenerated Node #0,0: 199:[191, 78, 102] Operation: 34*3=102\nExploring Operation: 3*78=234, Resulting Numbers: [34, 191, 234]\nGenerated Node #0,1: 199:[34, 191, 234] Operation: 3*78=234\nMoving to Node #0,1\nCurrent State: 199:[34, 191, 234], Operations: ['3*78=234']\nExploring Operation: 34+191=225, Resulting Numbers: [234, 225]\nGenerated Node #0,1,0: 199:[234, 225] Operation: 34+191=225\nExploring Operation: 234-34=200, Resulting Numbers: [191, 200]\nGenerated Node #0,1,1: 199:[191, 200] Operation: 234-34=200\nMoving to Node #0,0\nCurrent State: 199:[191, 78, 102], Operations: ['34*3=102']\nExploring Operation: 191+78=269, Resulting Numbers: [102, 269]\nGenerated Node #0,0,0: 199:[102, 269] Operation: 191+78=269\nExploring Operation: 78+102=180, Resulting Numbers: [191, 180]\nGenerated Node #0,0,1: 199:[191, 180] Operation: 78+102=180\nMoving to Node #0,1,1\nCurrent State: 199:[191, 200], Operations: ['3*78=234', '234-34=200']\nExploring Operation: 200-191=9, Resulting Numbers: [9]\n9,199 unequal: No Solution\nExploring Operation: 191+200=391, Resulting Numbers: [391]\n391,199 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 199:[191, 180], Operations: ['34*3=102', '78+102=180']\nExploring Operation: 191+180=371, Resulting Numbers: [371]\n371,199 unequal: No Solution\nExploring Operation: 191-180=11, Resulting Numbers: [11]\n11,199 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 199:[234, 225], Operations: ['3*78=234', '34+191=225']\nExploring Operation: 234+225=459, Resulting Numbers: [459]\n459,199 unequal: No Solution\nExploring Operation: 234-225=9, Resulting Numbers: [9]\n9,199 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 199:[102, 269], Operations: ['34*3=102', '191+78=269']\nExploring Operation: 102+269=371, Resulting Numbers: [371]\n371,199 unequal: No Solution\nExploring Operation: 269-102=167, Resulting Numbers: [167]\n167,199 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 199:[167], Operations: ['34*3=102', '191+78=269', '269-102=167']\nMoving to Node #0,0,1,0\nCurrent State: 199:[371], Operations: ['34*3=102', '78+102=180', '191+180=371']\nMoving to Node #0,0,0,0\nCurrent State: 199:[371], Operations: ['34*3=102', '191+78=269', '102+269=371']\nMoving to Node #0,0,1,0\nCurrent State: 199:[11], Operations: ['34*3=102', '78+102=180', '191-180=11']\nMoving to Node #0,1,0,0\nCurrent State: 199:[9], Operations: ['3*78=234', '34+191=225', '234-225=9']\nMoving to Node #0,1,1,0\nCurrent State: 199:[9], Operations: ['3*78=234', '234-34=200', '200-191=9']\nMoving to Node #0,1,1,0\nCurrent State: 199:[391], Operations: ['3*78=234', '234-34=200', '191+200=391']\nMoving to Node #0,1,0,0\nCurrent State: 199:[459], Operations: ['3*78=234', '34+191=225', '234+225=459']",
"role": "assistant"
}
] |
[
34,
3,
191,
78
] | 199
|
bfs_2
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [49, 145, 171, 183] and the target 182, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 182:[49, 145, 171, 183], Operations: []\nExploring Operation: 183-49=134, Resulting Numbers: [145, 171, 134]\nGenerated Node #0,0: 182:[145, 171, 134] Operation: 183-49=134\nExploring Operation: 49+171=220, Resulting Numbers: [145, 183, 220]\nGenerated Node #0,1: 182:[145, 183, 220] Operation: 49+171=220\nExploring Operation: 49+145=194, Resulting Numbers: [171, 183, 194]\nGenerated Node #0,2: 182:[171, 183, 194] Operation: 49+145=194\nMoving to Node #0,2\nCurrent State: 182:[171, 183, 194], Operations: ['49+145=194']\nExploring Operation: 194-183=11, Resulting Numbers: [171, 11]\nGenerated Node #0,2,0: 182:[171, 11] Operation: 194-183=11\nExploring Operation: 183-171=12, Resulting Numbers: [194, 12]\nGenerated Node #0,2,1: 182:[194, 12] Operation: 183-171=12\nExploring Operation: 194-171=23, Resulting Numbers: [183, 23]\nGenerated Node #0,2,2: 182:[183, 23] Operation: 194-171=23\nMoving to Node #0,1\nCurrent State: 182:[145, 183, 220], Operations: ['49+171=220']\nExploring Operation: 220-145=75, Resulting Numbers: [183, 75]\nGenerated Node #0,1,0: 182:[183, 75] Operation: 220-145=75\nExploring Operation: 183-145=38, Resulting Numbers: [220, 38]\nGenerated Node #0,1,1: 182:[220, 38] Operation: 183-145=38\nExploring Operation: 220-183=37, Resulting Numbers: [145, 37]\nGenerated Node #0,1,2: 182:[145, 37] Operation: 220-183=37\nMoving to Node #0,0\nCurrent State: 182:[145, 171, 134], Operations: ['183-49=134']\nExploring Operation: 145+171=316, Resulting Numbers: [134, 316]\nGenerated Node #0,0,0: 182:[134, 316] Operation: 145+171=316\nExploring Operation: 171+134=305, Resulting Numbers: [145, 305]\nGenerated Node #0,0,1: 182:[145, 305] Operation: 171+134=305\nExploring Operation: 145+134=279, Resulting Numbers: [171, 279]\nGenerated Node #0,0,2: 182:[171, 279] Operation: 145+134=279\nMoving to Node #0,1,0\nCurrent State: 182:[183, 75], Operations: ['49+171=220', '220-145=75']\nExploring Operation: 183-75=108, Resulting Numbers: [108]\n108,182 unequal: No Solution\nExploring Operation: 183+75=258, Resulting Numbers: [258]\n258,182 unequal: No Solution\nExploring Operation: 183*75=13725, Resulting Numbers: [13725]\n13725,182 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 182:[171, 279], Operations: ['183-49=134', '145+134=279']\nExploring Operation: 279-171=108, Resulting Numbers: [108]\n108,182 unequal: No Solution\nExploring Operation: 171+279=450, Resulting Numbers: [450]\n450,182 unequal: No Solution\nExploring Operation: 171*279=47709, Resulting Numbers: [47709]\n47709,182 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 182:[183, 23], Operations: ['49+145=194', '194-171=23']\nExploring Operation: 183-23=160, Resulting Numbers: [160]\n160,182 unequal: No Solution\nExploring Operation: 183*23=4209, Resulting Numbers: [4209]\n4209,182 unequal: No Solution\nExploring Operation: 183+23=206, Resulting Numbers: [206]\n206,182 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 182:[160], Operations: ['49+145=194', '194-171=23', '183-23=160']\nMoving to Node #0,2,2,0\nCurrent State: 182:[206], Operations: ['49+145=194', '194-171=23', '183+23=206']\nMoving to Node #0,1,0,0\nCurrent State: 182:[108], Operations: ['49+171=220', '220-145=75', '183-75=108']\nMoving to Node #0,0,2,0\nCurrent State: 182:[108], Operations: ['183-49=134', '145+134=279', '279-171=108']\nMoving to Node #0,1,0,0\nCurrent State: 182:[258], Operations: ['49+171=220', '220-145=75', '183+75=258']\nMoving to Node #0,0,1\nCurrent State: 182:[145, 305], Operations: ['183-49=134', '171+134=305']\nExploring Operation: 145+305=450, Resulting Numbers: [450]\n450,182 unequal: No Solution\nExploring Operation: 145*305=44225, Resulting Numbers: [44225]\n44225,182 unequal: No Solution\nExploring Operation: 305-145=160, Resulting Numbers: [160]\n160,182 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 182:[160], Operations: ['183-49=134', '171+134=305', '305-145=160']\nMoving to Node #0,1,2\nCurrent State: 182:[145, 37], Operations: ['49+171=220', '220-183=37']\nExploring Operation: 145+37=182, Resulting Numbers: [182]\n182,182 equal: Goal Reached\nFinal operations:\n49+171=220\n220-183=37\n145+37=182",
"role": "assistant"
}
] |
[
49,
145,
171,
183
] | 182
|
bfs_3
|
sum_heuristic
| 0.977431
|
[
{
"content": "Given the numbers [25, 45, 165, 43] and the target 95, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 95:[25, 45, 165, 43], Operations: []\nExploring Operation: 165-25=140, Resulting Numbers: [45, 43, 140]\nGenerated Node #0,0: 95:[45, 43, 140] Operation: 165-25=140\nExploring Operation: 25+45=70, Resulting Numbers: [165, 43, 70]\nGenerated Node #0,1: 95:[165, 43, 70] Operation: 25+45=70\nMoving to Node #0,0\nCurrent State: 95:[45, 43, 140], Operations: ['165-25=140']\nExploring Operation: 140-45=95, Resulting Numbers: [43, 95]\nGenerated Node #0,0,0: 95:[43, 95] Operation: 140-45=95\nExploring Operation: 45+43=88, Resulting Numbers: [140, 88]\nGenerated Node #0,0,1: 95:[140, 88] Operation: 45+43=88\nMoving to Node #0,1\nCurrent State: 95:[165, 43, 70], Operations: ['25+45=70']\nExploring Operation: 165-43=122, Resulting Numbers: [70, 122]\nGenerated Node #0,1,0: 95:[70, 122] Operation: 165-43=122\nExploring Operation: 165-70=95, Resulting Numbers: [43, 95]\nGenerated Node #0,1,1: 95:[43, 95] Operation: 165-70=95\nMoving to Node #0,0,0\nCurrent State: 95:[43, 95], Operations: ['165-25=140', '140-45=95']\nExploring Operation: 43+95=138, Resulting Numbers: [138]\n138,95 unequal: No Solution\nExploring Operation: 95-43=52, Resulting Numbers: [52]\n52,95 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 95:[70, 122], Operations: ['25+45=70', '165-43=122']\nExploring Operation: 122-70=52, Resulting Numbers: [52]\n52,95 unequal: No Solution\nExploring Operation: 70+122=192, Resulting Numbers: [192]\n192,95 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 95:[140, 88], Operations: ['165-25=140', '45+43=88']\nExploring Operation: 140-88=52, Resulting Numbers: [52]\n52,95 unequal: No Solution\nExploring Operation: 140+88=228, Resulting Numbers: [228]\n228,95 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 95:[43, 95], Operations: ['25+45=70', '165-70=95']\nExploring Operation: 43+95=138, Resulting Numbers: [138]\n138,95 unequal: No Solution\nExploring Operation: 95-43=52, Resulting Numbers: [52]\n52,95 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 95:[138], Operations: ['165-25=140', '140-45=95', '43+95=138']\nMoving to Node #0,1,1,0\nCurrent State: 95:[138], Operations: ['25+45=70', '165-70=95', '43+95=138']\nMoving to Node #0,1,1,0\nCurrent State: 95:[52], Operations: ['25+45=70', '165-70=95', '95-43=52']\nMoving to Node #0,1,0,0\nCurrent State: 95:[52], Operations: ['25+45=70', '165-43=122', '122-70=52']\nMoving to Node #0,0,1,0\nCurrent State: 95:[52], Operations: ['165-25=140', '45+43=88', '140-88=52']\nMoving to Node #0,0,0,0\nCurrent State: 95:[52], Operations: ['165-25=140', '140-45=95', '95-43=52']\nMoving to Node #0,1,0,0\nCurrent State: 95:[192], Operations: ['25+45=70', '165-43=122', '70+122=192']\nMoving to Node #0,0,1,0\nCurrent State: 95:[228], Operations: ['165-25=140', '45+43=88', '140+88=228']",
"role": "assistant"
}
] |
[
25,
45,
165,
43
] | 95
|
bfs_2
|
sum_heuristic
| 0
|
[
{
"content": "Given the numbers [97, 134, 14, 81] and the target 164, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 164:[97, 134, 14, 81], Operations: []\nExploring Operation: 97+14=111, Resulting Numbers: [134, 81, 111]\nGenerated Node #0,0: 164:[134, 81, 111] Operation: 97+14=111\nMoving to Node #0,0\nCurrent State: 164:[134, 81, 111], Operations: ['97+14=111']\nExploring Operation: 81+111=192, Resulting Numbers: [134, 192]\nGenerated Node #0,0,0: 164:[134, 192] Operation: 81+111=192\nMoving to Node #0,0,0\nCurrent State: 164:[134, 192], Operations: ['97+14=111', '81+111=192']\nExploring Operation: 192-134=58, Resulting Numbers: [58]\n58,164 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 164:[134, 192], Operations: ['97+14=111', '81+111=192']\nExploring Operation: 134+192=326, Resulting Numbers: [326]\n326,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[134, 81, 111], Operations: ['97+14=111']\nExploring Operation: 134+81=215, Resulting Numbers: [111, 215]\nGenerated Node #0,0,1: 164:[111, 215] Operation: 134+81=215\nMoving to Node #0,0,1\nCurrent State: 164:[111, 215], Operations: ['97+14=111', '134+81=215']\nExploring Operation: 215-111=104, Resulting Numbers: [104]\n104,164 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 164:[111, 215], Operations: ['97+14=111', '134+81=215']\nExploring Operation: 111+215=326, Resulting Numbers: [326]\n326,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[134, 81, 111], Operations: ['97+14=111']\nExploring Operation: 134-81=53, Resulting Numbers: [111, 53]\nGenerated Node #0,0,2: 164:[111, 53] Operation: 134-81=53\nMoving to Node #0,0,2\nCurrent State: 164:[111, 53], Operations: ['97+14=111', '134-81=53']\nExploring Operation: 111+53=164, Resulting Numbers: [164]\n164,164 equal: Goal Reached\nFinal operations:\n97+14=111\n134-81=53\n111+53=164",
"role": "assistant"
}
] |
[
97,
134,
14,
81
] | 164
|
dfs
|
sum_heuristic
| 0.991319
|
[
{
"content": "Given the numbers [165, 130, 140, 88] and the target 67, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 67:[165, 130, 140, 88], Operations: []\nExploring Operation: 165-130=35, Resulting Numbers: [140, 88, 35]\nGenerated Node #0,0: 67:[140, 88, 35] Operation: 165-130=35\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 140-88=52, Resulting Numbers: [35, 52]\nGenerated Node #0,0,0: 67:[35, 52] Operation: 140-88=52\nMoving to Node #0,0,0\nCurrent State: 67:[35, 52], Operations: ['165-130=35', '140-88=52']\nExploring Operation: 35+52=87, Resulting Numbers: [87]\n87,67 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 67:[35, 52], Operations: ['165-130=35', '140-88=52']\nExploring Operation: 52-35=17, Resulting Numbers: [17]\n17,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 140-35=105, Resulting Numbers: [88, 105]\nGenerated Node #0,0,1: 67:[88, 105] Operation: 140-35=105\nMoving to Node #0,0,1\nCurrent State: 67:[88, 105], Operations: ['165-130=35', '140-35=105']\nExploring Operation: 105-88=17, Resulting Numbers: [17]\n17,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 140/35=4, Resulting Numbers: [88, 4]\nGenerated Node #0,0,2: 67:[88, 4] Operation: 140/35=4\nMoving to Node #0,0,2\nCurrent State: 67:[88, 4], Operations: ['165-130=35', '140/35=4']\nExploring Operation: 88-4=84, Resulting Numbers: [84]\n84,67 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 67:[88, 4], Operations: ['165-130=35', '140/35=4']\nExploring Operation: 88+4=92, Resulting Numbers: [92]\n92,67 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 67:[88, 4], Operations: ['165-130=35', '140/35=4']\nExploring Operation: 88/4=22, Resulting Numbers: [22]\n22,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 88-35=53, Resulting Numbers: [140, 53]\nGenerated Node #0,0,3: 67:[140, 53] Operation: 88-35=53\nMoving to Node #0,0,3\nCurrent State: 67:[140, 53], Operations: ['165-130=35', '88-35=53']\nExploring Operation: 140-53=87, Resulting Numbers: [87]\n87,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 140+35=175, Resulting Numbers: [88, 175]\nGenerated Node #0,0,4: 67:[88, 175] Operation: 140+35=175\nMoving to Node #0,0,4\nCurrent State: 67:[88, 175], Operations: ['165-130=35', '140+35=175']\nExploring Operation: 175-88=87, Resulting Numbers: [87]\n87,67 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 67:[140, 88, 35], Operations: ['165-130=35']\nExploring Operation: 88+35=123, Resulting Numbers: [140, 123]\nGenerated Node #0,0,5: 67:[140, 123] Operation: 88+35=123\nMoving to Node #0,0,5\nCurrent State: 67:[140, 123], Operations: ['165-130=35', '88+35=123']\nExploring Operation: 140-123=17, Resulting Numbers: [17]\n17,67 unequal: No Solution\nMoving to Node #0\nCurrent State: 67:[165, 130, 140, 88], Operations: []\nExploring Operation: 165-140=25, Resulting Numbers: [130, 88, 25]\nGenerated Node #0,1: 67:[130, 88, 25] Operation: 165-140=25\nMoving to Node #0,1\nCurrent State: 67:[130, 88, 25], Operations: ['165-140=25']\nExploring Operation: 130-25=105, Resulting Numbers: [88, 105]\nGenerated Node #0,1,0: 67:[88, 105] Operation: 130-25=105\nMoving to Node #0,1,0\nCurrent State: 67:[88, 105], Operations: ['165-140=25', '130-25=105']\nExploring Operation: 105-88=17, Resulting Numbers: [17]\n17,67 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 67:[130, 88, 25], Operations: ['165-140=25']\nExploring Operation: 130-88=42, Resulting Numbers: [25, 42]\nGenerated Node #0,1,1: 67:[25, 42] Operation: 130-88=42\nMoving to Node #0,1,1\nCurrent State: 67:[25, 42], Operations: ['165-140=25', '130-88=42']\nExploring Operation: 25+42=67, Resulting Numbers: [67]\n67,67 equal: Goal Reached\nFinal operations:\n165-140=25\n130-88=42\n25+42=67",
"role": "assistant"
}
] |
[
165,
130,
140,
88
] | 67
|
dfs
|
sum_heuristic
| 0.980903
|
[
{
"content": "Given the numbers [155, 67, 21, 135] and the target 26, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 26:[155, 67, 21, 135], Operations: []",
"role": "assistant"
}
] |
[
155,
67,
21,
135
] | 26
|
dfs
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [30, 35, 77, 105] and the target 98, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 30+35=65, Resulting Numbers: [77, 105, 65]\nGenerated Node #0,0: 98:[77, 105, 65] Operation: 30+35=65\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 77+65=142, Resulting Numbers: [105, 142]\nGenerated Node #0,0,0: 98:[105, 142] Operation: 77+65=142\nMoving to Node #0,0,0\nCurrent State: 98:[105, 142], Operations: ['30+35=65', '77+65=142']\nExploring Operation: 142-105=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 105-65=40, Resulting Numbers: [77, 40]\nGenerated Node #0,0,1: 98:[77, 40] Operation: 105-65=40\nMoving to Node #0,0,1\nCurrent State: 98:[77, 40], Operations: ['30+35=65', '105-65=40']\nExploring Operation: 77+40=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 98:[77, 40], Operations: ['30+35=65', '105-65=40']\nExploring Operation: 77-40=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 77-65=12, Resulting Numbers: [105, 12]\nGenerated Node #0,0,2: 98:[105, 12] Operation: 77-65=12\nMoving to Node #0,0,2\nCurrent State: 98:[105, 12], Operations: ['30+35=65', '77-65=12']\nExploring Operation: 105-12=93, Resulting Numbers: [93]\n93,98 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 98:[105, 12], Operations: ['30+35=65', '77-65=12']\nExploring Operation: 105+12=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 105+65=170, Resulting Numbers: [77, 170]\nGenerated Node #0,0,3: 98:[77, 170] Operation: 105+65=170\nMoving to Node #0,0,3\nCurrent State: 98:[77, 170], Operations: ['30+35=65', '105+65=170']\nExploring Operation: 170-77=93, Resulting Numbers: [93]\n93,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 105-77=28, Resulting Numbers: [65, 28]\nGenerated Node #0,0,4: 98:[65, 28] Operation: 105-77=28\nMoving to Node #0,0,4\nCurrent State: 98:[65, 28], Operations: ['30+35=65', '105-77=28']\nExploring Operation: 65+28=93, Resulting Numbers: [93]\n93,98 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 98:[65, 28], Operations: ['30+35=65', '105-77=28']\nExploring Operation: 65-28=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[77, 105, 65], Operations: ['30+35=65']\nExploring Operation: 77+105=182, Resulting Numbers: [65, 182]\nGenerated Node #0,0,5: 98:[65, 182] Operation: 77+105=182\nMoving to Node #0,0,5\nCurrent State: 98:[65, 182], Operations: ['30+35=65', '77+105=182']\nExploring Operation: 182-65=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 30+77=107, Resulting Numbers: [35, 105, 107]\nGenerated Node #0,1: 98:[35, 105, 107] Operation: 30+77=107\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 107-35=72, Resulting Numbers: [105, 72]\nGenerated Node #0,1,0: 98:[105, 72] Operation: 107-35=72\nMoving to Node #0,1,0\nCurrent State: 98:[105, 72], Operations: ['30+77=107', '107-35=72']\nExploring Operation: 105-72=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 98:[105, 72], Operations: ['30+77=107', '107-35=72']\nExploring Operation: 105+72=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 105-35=70, Resulting Numbers: [107, 70]\nGenerated Node #0,1,1: 98:[107, 70] Operation: 105-35=70\nMoving to Node #0,1,1\nCurrent State: 98:[107, 70], Operations: ['30+77=107', '105-35=70']\nExploring Operation: 107-70=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 98:[107, 70], Operations: ['30+77=107', '105-35=70']\nExploring Operation: 107+70=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 35+105=140, Resulting Numbers: [107, 140]\nGenerated Node #0,1,2: 98:[107, 140] Operation: 35+105=140\nMoving to Node #0,1,2\nCurrent State: 98:[107, 140], Operations: ['30+77=107', '35+105=140']\nExploring Operation: 140-107=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 35+107=142, Resulting Numbers: [105, 142]\nGenerated Node #0,1,3: 98:[105, 142] Operation: 35+107=142\nMoving to Node #0,1,3\nCurrent State: 98:[105, 142], Operations: ['30+77=107', '35+107=142']\nExploring Operation: 142-105=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 105/35=3, Resulting Numbers: [107, 3]\nGenerated Node #0,1,4: 98:[107, 3] Operation: 105/35=3\nMoving to Node #0,1,4\nCurrent State: 98:[107, 3], Operations: ['30+77=107', '105/35=3']\nExploring Operation: 107-3=104, Resulting Numbers: [104]\n104,98 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 98:[107, 3], Operations: ['30+77=107', '105/35=3']\nExploring Operation: 107+3=110, Resulting Numbers: [110]\n110,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 107-105=2, Resulting Numbers: [35, 2]\nGenerated Node #0,1,5: 98:[35, 2] Operation: 107-105=2\nMoving to Node #0,1,5\nCurrent State: 98:[35, 2], Operations: ['30+77=107', '107-105=2']\nExploring Operation: 35*2=70, Resulting Numbers: [70]\n70,98 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 98:[35, 2], Operations: ['30+77=107', '107-105=2']\nExploring Operation: 35+2=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 98:[35, 2], Operations: ['30+77=107', '107-105=2']\nExploring Operation: 35-2=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[35, 105, 107], Operations: ['30+77=107']\nExploring Operation: 105+107=212, Resulting Numbers: [35, 212]\nGenerated Node #0,1,6: 98:[35, 212] Operation: 105+107=212\nMoving to Node #0,1,6\nCurrent State: 98:[35, 212], Operations: ['30+77=107', '105+107=212']\nExploring Operation: 212-35=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 35+77=112, Resulting Numbers: [30, 105, 112]\nGenerated Node #0,2: 98:[30, 105, 112] Operation: 35+77=112\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 112-30=82, Resulting Numbers: [105, 82]\nGenerated Node #0,2,0: 98:[105, 82] Operation: 112-30=82\nMoving to Node #0,2,0\nCurrent State: 98:[105, 82], Operations: ['35+77=112', '112-30=82']\nExploring Operation: 105-82=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 98:[105, 82], Operations: ['35+77=112', '112-30=82']\nExploring Operation: 105+82=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 105-30=75, Resulting Numbers: [112, 75]\nGenerated Node #0,2,1: 98:[112, 75] Operation: 105-30=75\nMoving to Node #0,2,1\nCurrent State: 98:[112, 75], Operations: ['35+77=112', '105-30=75']\nExploring Operation: 112-75=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 98:[112, 75], Operations: ['35+77=112', '105-30=75']\nExploring Operation: 112+75=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 30+105=135, Resulting Numbers: [112, 135]\nGenerated Node #0,2,2: 98:[112, 135] Operation: 30+105=135\nMoving to Node #0,2,2\nCurrent State: 98:[112, 135], Operations: ['35+77=112', '30+105=135']\nExploring Operation: 135-112=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 30+112=142, Resulting Numbers: [105, 142]\nGenerated Node #0,2,3: 98:[105, 142] Operation: 30+112=142\nMoving to Node #0,2,3\nCurrent State: 98:[105, 142], Operations: ['35+77=112', '30+112=142']\nExploring Operation: 142-105=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 112-105=7, Resulting Numbers: [30, 7]\nGenerated Node #0,2,4: 98:[30, 7] Operation: 112-105=7\nMoving to Node #0,2,4\nCurrent State: 98:[30, 7], Operations: ['35+77=112', '112-105=7']\nExploring Operation: 30+7=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 98:[30, 7], Operations: ['35+77=112', '112-105=7']\nExploring Operation: 30-7=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[30, 105, 112], Operations: ['35+77=112']\nExploring Operation: 105+112=217, Resulting Numbers: [30, 217]\nGenerated Node #0,2,5: 98:[30, 217] Operation: 105+112=217\nMoving to Node #0,2,5\nCurrent State: 98:[30, 217], Operations: ['35+77=112', '105+112=217']\nExploring Operation: 217-30=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 105-30=75, Resulting Numbers: [35, 77, 75]\nGenerated Node #0,3: 98:[35, 77, 75] Operation: 105-30=75\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 35+75=110, Resulting Numbers: [77, 110]\nGenerated Node #0,3,0: 98:[77, 110] Operation: 35+75=110\nMoving to Node #0,3,0\nCurrent State: 98:[77, 110], Operations: ['105-30=75', '35+75=110']\nExploring Operation: 110-77=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 98:[77, 110], Operations: ['105-30=75', '35+75=110']\nExploring Operation: 77+110=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 35+77=112, Resulting Numbers: [75, 112]\nGenerated Node #0,3,1: 98:[75, 112] Operation: 35+77=112\nMoving to Node #0,3,1\nCurrent State: 98:[75, 112], Operations: ['105-30=75', '35+77=112']\nExploring Operation: 112-75=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 98:[75, 112], Operations: ['105-30=75', '35+77=112']\nExploring Operation: 75+112=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 77-35=42, Resulting Numbers: [75, 42]\nGenerated Node #0,3,2: 98:[75, 42] Operation: 77-35=42\nMoving to Node #0,3,2\nCurrent State: 98:[75, 42], Operations: ['105-30=75', '77-35=42']\nExploring Operation: 75+42=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 98:[75, 42], Operations: ['105-30=75', '77-35=42']\nExploring Operation: 75-42=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 75-35=40, Resulting Numbers: [77, 40]\nGenerated Node #0,3,3: 98:[77, 40] Operation: 75-35=40\nMoving to Node #0,3,3\nCurrent State: 98:[77, 40], Operations: ['105-30=75', '75-35=40']\nExploring Operation: 77+40=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 98:[77, 40], Operations: ['105-30=75', '75-35=40']\nExploring Operation: 77-40=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 77+75=152, Resulting Numbers: [35, 152]\nGenerated Node #0,3,4: 98:[35, 152] Operation: 77+75=152\nMoving to Node #0,3,4\nCurrent State: 98:[35, 152], Operations: ['105-30=75', '77+75=152']\nExploring Operation: 152-35=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 98:[35, 152], Operations: ['105-30=75', '77+75=152']\nExploring Operation: 35+152=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[35, 77, 75], Operations: ['105-30=75']\nExploring Operation: 77-75=2, Resulting Numbers: [35, 2]\nGenerated Node #0,3,5: 98:[35, 2] Operation: 77-75=2\nMoving to Node #0,3,5\nCurrent State: 98:[35, 2], Operations: ['105-30=75', '77-75=2']\nExploring Operation: 35*2=70, Resulting Numbers: [70]\n70,98 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 98:[35, 2], Operations: ['105-30=75', '77-75=2']\nExploring Operation: 35+2=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,3,5\nCurrent State: 98:[35, 2], Operations: ['105-30=75', '77-75=2']\nExploring Operation: 35-2=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 105-35=70, Resulting Numbers: [30, 77, 70]\nGenerated Node #0,4: 98:[30, 77, 70] Operation: 105-35=70\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 30+70=100, Resulting Numbers: [77, 100]\nGenerated Node #0,4,0: 98:[77, 100] Operation: 30+70=100\nMoving to Node #0,4,0\nCurrent State: 98:[77, 100], Operations: ['105-35=70', '30+70=100']\nExploring Operation: 100-77=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 98:[77, 100], Operations: ['105-35=70', '30+70=100']\nExploring Operation: 77+100=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 30+77=107, Resulting Numbers: [70, 107]\nGenerated Node #0,4,1: 98:[70, 107] Operation: 30+77=107\nMoving to Node #0,4,1\nCurrent State: 98:[70, 107], Operations: ['105-35=70', '30+77=107']\nExploring Operation: 107-70=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 98:[70, 107], Operations: ['105-35=70', '30+77=107']\nExploring Operation: 70+107=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 77-30=47, Resulting Numbers: [70, 47]\nGenerated Node #0,4,2: 98:[70, 47] Operation: 77-30=47\nMoving to Node #0,4,2\nCurrent State: 98:[70, 47], Operations: ['105-35=70', '77-30=47']\nExploring Operation: 70+47=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 98:[70, 47], Operations: ['105-35=70', '77-30=47']\nExploring Operation: 70-47=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 70-30=40, Resulting Numbers: [77, 40]\nGenerated Node #0,4,3: 98:[77, 40] Operation: 70-30=40\nMoving to Node #0,4,3\nCurrent State: 98:[77, 40], Operations: ['105-35=70', '70-30=40']\nExploring Operation: 77+40=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 98:[77, 40], Operations: ['105-35=70', '70-30=40']\nExploring Operation: 77-40=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 77+70=147, Resulting Numbers: [30, 147]\nGenerated Node #0,4,4: 98:[30, 147] Operation: 77+70=147\nMoving to Node #0,4,4\nCurrent State: 98:[30, 147], Operations: ['105-35=70', '77+70=147']\nExploring Operation: 147-30=117, Resulting Numbers: [117]\n117,98 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 98:[30, 147], Operations: ['105-35=70', '77+70=147']\nExploring Operation: 30+147=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[30, 77, 70], Operations: ['105-35=70']\nExploring Operation: 77-70=7, Resulting Numbers: [30, 7]\nGenerated Node #0,4,5: 98:[30, 7] Operation: 77-70=7\nMoving to Node #0,4,5\nCurrent State: 98:[30, 7], Operations: ['105-35=70', '77-70=7']\nExploring Operation: 30+7=37, Resulting Numbers: [37]\n37,98 unequal: No Solution\nMoving to Node #0,4,5\nCurrent State: 98:[30, 7], Operations: ['105-35=70', '77-70=7']\nExploring Operation: 30-7=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[30, 35, 77, 105], Operations: []\nExploring Operation: 35-30=5, Resulting Numbers: [77, 105, 5]\nGenerated Node #0,5: 98:[77, 105, 5] Operation: 35-30=5\nMoving to Node #0,5\nCurrent State: 98:[77, 105, 5], Operations: ['35-30=5']\nExploring Operation: 77+5=82, Resulting Numbers: [105, 82]\nGenerated Node #0,5,0: 98:[105, 82] Operation: 77+5=82\nMoving to Node #0,5,0\nCurrent State: 98:[105, 82], Operations: ['35-30=5', '77+5=82']\nExploring Operation: 105-82=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 98:[105, 82], Operations: ['35-30=5', '77+5=82']\nExploring Operation: 105+82=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[77, 105, 5], Operations: ['35-30=5']\nExploring Operation: 105-5=100, Resulting Numbers: [77, 100]\nGenerated Node #0,5,1: 98:[77, 100] Operation: 105-5=100\nMoving to Node #0,5,1\nCurrent State: 98:[77, 100], Operations: ['35-30=5', '105-5=100']\nExploring Operation: 100-77=23, Resulting Numbers: [23]\n23,98 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 98:[77, 100], Operations: ['35-30=5', '105-5=100']\nExploring Operation: 77+100=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[77, 105, 5], Operations: ['35-30=5']\nExploring Operation: 77-5=72, Resulting Numbers: [105, 72]\nGenerated Node #0,5,2: 98:[105, 72] Operation: 77-5=72\nMoving to Node #0,5,2\nCurrent State: 98:[105, 72], Operations: ['35-30=5', '77-5=72']\nExploring Operation: 105-72=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 98:[105, 72], Operations: ['35-30=5', '77-5=72']\nExploring Operation: 105+72=177, Resulting Numbers: [177]\n177,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[77, 105, 5], Operations: ['35-30=5']\nExploring Operation: 105+5=110, Resulting Numbers: [77, 110]\nGenerated Node #0,5,3: 98:[77, 110] Operation: 105+5=110\nMoving to Node #0,5,3\nCurrent State: 98:[77, 110], Operations: ['35-30=5', '105+5=110']\nExploring Operation: 110-77=33, Resulting Numbers: [33]\n33,98 unequal: No Solution\nMoving to Node #0,5,3\nCurrent State: 98:[77, 110], Operations: ['35-30=5', '105+5=110']\nExploring Operation: 77+110=187, Resulting Numbers: [187]\n187,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[77, 105, 5], Operations: ['35-30=5']\nExploring Operation: 105/5=21, Resulting Numbers: [77, 21]\nGenerated Node #0,5,4: 98:[77, 21] Operation: 105/5=21\nMoving to Node #0,5,4\nCurrent State: 98:[77, 21], Operations: ['35-30=5', '105/5=21']\nExploring Operation: 77+21=98, Resulting Numbers: [98]\n98,98 equal: Goal Reached\nFinal operations:\n35-30=5\n105/5=21\n77+21=98",
"role": "assistant"
}
] |
[
30,
35,
77,
105
] | 98
|
dfs
|
sum_heuristic
| 0.907118
|
[
{
"content": "Given the numbers [87, 75, 102, 109] and the target 199, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 199:[87, 75, 102, 109], Operations: []\nExploring Operation: 87+75=162, Resulting Numbers: [102, 109, 162]\nGenerated Node #0,0: 199:[102, 109, 162] Operation: 87+75=162\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 102+109=211, Resulting Numbers: [162, 211]\nGenerated Node #0,0,0: 199:[162, 211] Operation: 102+109=211\nMoving to Node #0,0,0\nCurrent State: 199:[162, 211], Operations: ['87+75=162', '102+109=211']\nExploring Operation: 211-162=49, Resulting Numbers: [49]\n49,199 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 199:[162, 211], Operations: ['87+75=162', '102+109=211']\nExploring Operation: 162+211=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 102+162=264, Resulting Numbers: [109, 264]\nGenerated Node #0,0,1: 199:[109, 264] Operation: 102+162=264\nMoving to Node #0,0,1\nCurrent State: 199:[109, 264], Operations: ['87+75=162', '102+162=264']\nExploring Operation: 264-109=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 199:[109, 264], Operations: ['87+75=162', '102+162=264']\nExploring Operation: 109+264=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 109+162=271, Resulting Numbers: [102, 271]\nGenerated Node #0,0,2: 199:[102, 271] Operation: 109+162=271\nMoving to Node #0,0,2\nCurrent State: 199:[102, 271], Operations: ['87+75=162', '109+162=271']\nExploring Operation: 271-102=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 199:[102, 271], Operations: ['87+75=162', '109+162=271']\nExploring Operation: 102+271=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 109-102=7, Resulting Numbers: [162, 7]\nGenerated Node #0,0,3: 199:[162, 7] Operation: 109-102=7\nMoving to Node #0,0,3\nCurrent State: 199:[162, 7], Operations: ['87+75=162', '109-102=7']\nExploring Operation: 162+7=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 199:[162, 7], Operations: ['87+75=162', '109-102=7']\nExploring Operation: 162-7=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 162-102=60, Resulting Numbers: [109, 60]\nGenerated Node #0,0,4: 199:[109, 60] Operation: 162-102=60\nMoving to Node #0,0,4\nCurrent State: 199:[109, 60], Operations: ['87+75=162', '162-102=60']\nExploring Operation: 109+60=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 199:[109, 60], Operations: ['87+75=162', '162-102=60']\nExploring Operation: 109-60=49, Resulting Numbers: [49]\n49,199 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 199:[102, 109, 162], Operations: ['87+75=162']\nExploring Operation: 162-109=53, Resulting Numbers: [102, 53]\nGenerated Node #0,0,5: 199:[102, 53] Operation: 162-109=53\nMoving to Node #0,0,5\nCurrent State: 199:[102, 53], Operations: ['87+75=162', '162-109=53']\nExploring Operation: 102+53=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 199:[102, 53], Operations: ['87+75=162', '162-109=53']\nExploring Operation: 102-53=49, Resulting Numbers: [49]\n49,199 unequal: No Solution\nMoving to Node #0\nCurrent State: 199:[87, 75, 102, 109], Operations: []\nExploring Operation: 87+102=189, Resulting Numbers: [75, 109, 189]\nGenerated Node #0,1: 199:[75, 109, 189] Operation: 87+102=189\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 75+109=184, Resulting Numbers: [189, 184]\nGenerated Node #0,1,0: 199:[189, 184] Operation: 75+109=184\nMoving to Node #0,1,0\nCurrent State: 199:[189, 184], Operations: ['87+102=189', '75+109=184']\nExploring Operation: 189+184=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 199:[189, 184], Operations: ['87+102=189', '75+109=184']\nExploring Operation: 189-184=5, Resulting Numbers: [5]\n5,199 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 75+189=264, Resulting Numbers: [109, 264]\nGenerated Node #0,1,1: 199:[109, 264] Operation: 75+189=264\nMoving to Node #0,1,1\nCurrent State: 199:[109, 264], Operations: ['87+102=189', '75+189=264']\nExploring Operation: 264-109=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 199:[109, 264], Operations: ['87+102=189', '75+189=264']\nExploring Operation: 109+264=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 109-75=34, Resulting Numbers: [189, 34]\nGenerated Node #0,1,2: 199:[189, 34] Operation: 109-75=34\nMoving to Node #0,1,2\nCurrent State: 199:[189, 34], Operations: ['87+102=189', '109-75=34']\nExploring Operation: 189+34=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 199:[189, 34], Operations: ['87+102=189', '109-75=34']\nExploring Operation: 189-34=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 189-75=114, Resulting Numbers: [109, 114]\nGenerated Node #0,1,3: 199:[109, 114] Operation: 189-75=114\nMoving to Node #0,1,3\nCurrent State: 199:[109, 114], Operations: ['87+102=189', '189-75=114']\nExploring Operation: 109+114=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 199:[109, 114], Operations: ['87+102=189', '189-75=114']\nExploring Operation: 114-109=5, Resulting Numbers: [5]\n5,199 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 109+189=298, Resulting Numbers: [75, 298]\nGenerated Node #0,1,4: 199:[75, 298] Operation: 109+189=298\nMoving to Node #0,1,4\nCurrent State: 199:[75, 298], Operations: ['87+102=189', '109+189=298']\nExploring Operation: 298-75=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 199:[75, 298], Operations: ['87+102=189', '109+189=298']\nExploring Operation: 75+298=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 199:[75, 109, 189], Operations: ['87+102=189']\nExploring Operation: 189-109=80, Resulting Numbers: [75, 80]\nGenerated Node #0,1,5: 199:[75, 80] Operation: 189-109=80\nMoving to Node #0,1,5\nCurrent State: 199:[75, 80], Operations: ['87+102=189', '189-109=80']\nExploring Operation: 75+80=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 199:[75, 80], Operations: ['87+102=189', '189-109=80']\nExploring Operation: 80-75=5, Resulting Numbers: [5]\n5,199 unequal: No Solution\nMoving to Node #0\nCurrent State: 199:[87, 75, 102, 109], Operations: []\nExploring Operation: 87+109=196, Resulting Numbers: [75, 102, 196]\nGenerated Node #0,2: 199:[75, 102, 196] Operation: 87+109=196\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 75+102=177, Resulting Numbers: [196, 177]\nGenerated Node #0,2,0: 199:[196, 177] Operation: 75+102=177\nMoving to Node #0,2,0\nCurrent State: 199:[196, 177], Operations: ['87+109=196', '75+102=177']\nExploring Operation: 196+177=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 199:[196, 177], Operations: ['87+109=196', '75+102=177']\nExploring Operation: 196-177=19, Resulting Numbers: [19]\n19,199 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 75+196=271, Resulting Numbers: [102, 271]\nGenerated Node #0,2,1: 199:[102, 271] Operation: 75+196=271\nMoving to Node #0,2,1\nCurrent State: 199:[102, 271], Operations: ['87+109=196', '75+196=271']\nExploring Operation: 271-102=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 199:[102, 271], Operations: ['87+109=196', '75+196=271']\nExploring Operation: 102+271=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 102-75=27, Resulting Numbers: [196, 27]\nGenerated Node #0,2,2: 199:[196, 27] Operation: 102-75=27\nMoving to Node #0,2,2\nCurrent State: 199:[196, 27], Operations: ['87+109=196', '102-75=27']\nExploring Operation: 196+27=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 199:[196, 27], Operations: ['87+109=196', '102-75=27']\nExploring Operation: 196-27=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 196-75=121, Resulting Numbers: [102, 121]\nGenerated Node #0,2,3: 199:[102, 121] Operation: 196-75=121\nMoving to Node #0,2,3\nCurrent State: 199:[102, 121], Operations: ['87+109=196', '196-75=121']\nExploring Operation: 102+121=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 199:[102, 121], Operations: ['87+109=196', '196-75=121']\nExploring Operation: 121-102=19, Resulting Numbers: [19]\n19,199 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 102+196=298, Resulting Numbers: [75, 298]\nGenerated Node #0,2,4: 199:[75, 298] Operation: 102+196=298\nMoving to Node #0,2,4\nCurrent State: 199:[75, 298], Operations: ['87+109=196', '102+196=298']\nExploring Operation: 298-75=223, Resulting Numbers: [223]\n223,199 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 199:[75, 298], Operations: ['87+109=196', '102+196=298']\nExploring Operation: 75+298=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 199:[75, 102, 196], Operations: ['87+109=196']\nExploring Operation: 196-102=94, Resulting Numbers: [75, 94]\nGenerated Node #0,2,5: 199:[75, 94] Operation: 196-102=94\nMoving to Node #0,2,5\nCurrent State: 199:[75, 94], Operations: ['87+109=196', '196-102=94']\nExploring Operation: 75+94=169, Resulting Numbers: [169]\n169,199 unequal: No Solution\nMoving to Node #0,2,5\nCurrent State: 199:[75, 94], Operations: ['87+109=196', '196-102=94']\nExploring Operation: 94-75=19, Resulting Numbers: [19]\n19,199 unequal: No Solution\nMoving to Node #0\nCurrent State: 199:[87, 75, 102, 109], Operations: []\nExploring Operation: 75+102=177, Resulting Numbers: [87, 109, 177]\nGenerated Node #0,3: 199:[87, 109, 177] Operation: 75+102=177\nMoving to Node #0,3\nCurrent State: 199:[87, 109, 177], Operations: ['75+102=177']\nExploring Operation: 87+109=196, Resulting Numbers: [177, 196]\nGenerated Node #0,3,0: 199:[177, 196] Operation: 87+109=196\nMoving to Node #0,3,0\nCurrent State: 199:[177, 196], Operations: ['75+102=177', '87+109=196']\nExploring Operation: 177+196=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 199:[177, 196], Operations: ['75+102=177', '87+109=196']\nExploring Operation: 196-177=19, Resulting Numbers: [19]\n19,199 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 199:[87, 109, 177], Operations: ['75+102=177']\nExploring Operation: 87+177=264, Resulting Numbers: [109, 264]\nGenerated Node #0,3,1: 199:[109, 264] Operation: 87+177=264\nMoving to Node #0,3,1\nCurrent State: 199:[109, 264], Operations: ['75+102=177', '87+177=264']\nExploring Operation: 264-109=155, Resulting Numbers: [155]\n155,199 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 199:[109, 264], Operations: ['75+102=177', '87+177=264']\nExploring Operation: 109+264=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 199:[87, 109, 177], Operations: ['75+102=177']\nExploring Operation: 109-87=22, Resulting Numbers: [177, 22]\nGenerated Node #0,3,2: 199:[177, 22] Operation: 109-87=22\nMoving to Node #0,3,2\nCurrent State: 199:[177, 22], Operations: ['75+102=177', '109-87=22']\nExploring Operation: 177+22=199, Resulting Numbers: [199]\n199,199 equal: Goal Reached\nFinal operations:\n75+102=177\n109-87=22\n177+22=199",
"role": "assistant"
}
] |
[
87,
75,
102,
109
] | 199
|
dfs
|
sum_heuristic
| 0.94184
|
[
{
"content": "Given the numbers [113, 67, 110, 8] and the target 164, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 164:[113, 67, 110, 8], Operations: []\nExploring Operation: 113-110=3, Resulting Numbers: [67, 8, 3]\nGenerated Node #0,0: 164:[67, 8, 3] Operation: 113-110=3\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 67+8=75, Resulting Numbers: [3, 75]\nGenerated Node #0,0,0: 164:[3, 75] Operation: 67+8=75\nMoving to Node #0,0,0\nCurrent State: 164:[3, 75], Operations: ['113-110=3', '67+8=75']\nExploring Operation: 3+75=78, Resulting Numbers: [78]\n78,164 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 164:[3, 75], Operations: ['113-110=3', '67+8=75']\nExploring Operation: 75-3=72, Resulting Numbers: [72]\n72,164 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 164:[3, 75], Operations: ['113-110=3', '67+8=75']\nExploring Operation: 75/3=25, Resulting Numbers: [25]\n25,164 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 164:[3, 75], Operations: ['113-110=3', '67+8=75']\nExploring Operation: 3*75=225, Resulting Numbers: [225]\n225,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 67+3=70, Resulting Numbers: [8, 70]\nGenerated Node #0,0,1: 164:[8, 70] Operation: 67+3=70\nMoving to Node #0,0,1\nCurrent State: 164:[8, 70], Operations: ['113-110=3', '67+3=70']\nExploring Operation: 8+70=78, Resulting Numbers: [78]\n78,164 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 164:[8, 70], Operations: ['113-110=3', '67+3=70']\nExploring Operation: 70-8=62, Resulting Numbers: [62]\n62,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 8-3=5, Resulting Numbers: [67, 5]\nGenerated Node #0,0,2: 164:[67, 5] Operation: 8-3=5\nMoving to Node #0,0,2\nCurrent State: 164:[67, 5], Operations: ['113-110=3', '8-3=5']\nExploring Operation: 67+5=72, Resulting Numbers: [72]\n72,164 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 164:[67, 5], Operations: ['113-110=3', '8-3=5']\nExploring Operation: 67-5=62, Resulting Numbers: [62]\n62,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 67-8=59, Resulting Numbers: [3, 59]\nGenerated Node #0,0,3: 164:[3, 59] Operation: 67-8=59\nMoving to Node #0,0,3\nCurrent State: 164:[3, 59], Operations: ['113-110=3', '67-8=59']\nExploring Operation: 3*59=177, Resulting Numbers: [177]\n177,164 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 164:[3, 59], Operations: ['113-110=3', '67-8=59']\nExploring Operation: 59-3=56, Resulting Numbers: [56]\n56,164 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 164:[3, 59], Operations: ['113-110=3', '67-8=59']\nExploring Operation: 3+59=62, Resulting Numbers: [62]\n62,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 67-3=64, Resulting Numbers: [8, 64]\nGenerated Node #0,0,4: 164:[8, 64] Operation: 67-3=64\nMoving to Node #0,0,4\nCurrent State: 164:[8, 64], Operations: ['113-110=3', '67-3=64']\nExploring Operation: 64/8=8, Resulting Numbers: [8]\n8,164 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 164:[8, 64], Operations: ['113-110=3', '67-3=64']\nExploring Operation: 8+64=72, Resulting Numbers: [72]\n72,164 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 164:[8, 64], Operations: ['113-110=3', '67-3=64']\nExploring Operation: 64-8=56, Resulting Numbers: [56]\n56,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 8+3=11, Resulting Numbers: [67, 11]\nGenerated Node #0,0,5: 164:[67, 11] Operation: 8+3=11\nMoving to Node #0,0,5\nCurrent State: 164:[67, 11], Operations: ['113-110=3', '8+3=11']\nExploring Operation: 67+11=78, Resulting Numbers: [78]\n78,164 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 164:[67, 11], Operations: ['113-110=3', '8+3=11']\nExploring Operation: 67-11=56, Resulting Numbers: [56]\n56,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 8*3=24, Resulting Numbers: [67, 24]\nGenerated Node #0,0,6: 164:[67, 24] Operation: 8*3=24\nMoving to Node #0,0,6\nCurrent State: 164:[67, 24], Operations: ['113-110=3', '8*3=24']\nExploring Operation: 67-24=43, Resulting Numbers: [43]\n43,164 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 164:[67, 24], Operations: ['113-110=3', '8*3=24']\nExploring Operation: 67+24=91, Resulting Numbers: [91]\n91,164 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 164:[67, 8, 3], Operations: ['113-110=3']\nExploring Operation: 67*3=201, Resulting Numbers: [8, 201]\nGenerated Node #0,0,7: 164:[8, 201] Operation: 67*3=201\nMoving to Node #0,0,7\nCurrent State: 164:[8, 201], Operations: ['113-110=3', '67*3=201']\nExploring Operation: 201-8=193, Resulting Numbers: [193]\n193,164 unequal: No Solution\nMoving to Node #0,0,7\nCurrent State: 164:[8, 201], Operations: ['113-110=3', '67*3=201']\nExploring Operation: 8+201=209, Resulting Numbers: [209]\n209,164 unequal: No Solution\nMoving to Node #0\nCurrent State: 164:[113, 67, 110, 8], Operations: []\nExploring Operation: 113-67=46, Resulting Numbers: [110, 8, 46]\nGenerated Node #0,1: 164:[110, 8, 46] Operation: 113-67=46\nMoving to Node #0,1\nCurrent State: 164:[110, 8, 46], Operations: ['113-67=46']\nExploring Operation: 110+46=156, Resulting Numbers: [8, 156]\nGenerated Node #0,1,0: 164:[8, 156] Operation: 110+46=156\nMoving to Node #0,1,0\nCurrent State: 164:[8, 156], Operations: ['113-67=46', '110+46=156']\nExploring Operation: 8+156=164, Resulting Numbers: [164]\n164,164 equal: Goal Reached\nFinal operations:\n113-67=46\n110+46=156\n8+156=164",
"role": "assistant"
}
] |
[
113,
67,
110,
8
] | 164
|
dfs
|
mult_heuristic
| 0.971354
|
[
{
"content": "Given the numbers [138, 157, 25, 121] and the target 199, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 199:[138, 157, 25, 121], Operations: []\nExploring Operation: 138+25=163, Resulting Numbers: [157, 121, 163]\nGenerated Node #0,0: 199:[157, 121, 163] Operation: 138+25=163\nExploring Operation: 138-25=113, Resulting Numbers: [157, 121, 113]\nGenerated Node #0,1: 199:[157, 121, 113] Operation: 138-25=113\nExploring Operation: 25+121=146, Resulting Numbers: [138, 157, 146]\nGenerated Node #0,2: 199:[138, 157, 146] Operation: 25+121=146\nExploring Operation: 157+25=182, Resulting Numbers: [138, 121, 182]\nGenerated Node #0,3: 199:[138, 121, 182] Operation: 157+25=182\nMoving to Node #0,0\nCurrent State: 199:[157, 121, 163], Operations: ['138+25=163']\nExploring Operation: 157-121=36, Resulting Numbers: [163, 36]\nGenerated Node #0,0,0: 199:[163, 36] Operation: 157-121=36\nExploring Operation: 157+121=278, Resulting Numbers: [163, 278]\nGenerated Node #0,0,1: 199:[163, 278] Operation: 157+121=278\nExploring Operation: 121+163=284, Resulting Numbers: [157, 284]\nGenerated Node #0,0,2: 199:[157, 284] Operation: 121+163=284\nExploring Operation: 157+163=320, Resulting Numbers: [121, 320]\nGenerated Node #0,0,3: 199:[121, 320] Operation: 157+163=320\nMoving to Node #0,3\nCurrent State: 199:[138, 121, 182], Operations: ['157+25=182']\nExploring Operation: 121+182=303, Resulting Numbers: [138, 303]\nGenerated Node #0,3,0: 199:[138, 303] Operation: 121+182=303\nExploring Operation: 138+182=320, Resulting Numbers: [121, 320]\nGenerated Node #0,3,1: 199:[121, 320] Operation: 138+182=320\nExploring Operation: 138-121=17, Resulting Numbers: [182, 17]\nGenerated Node #0,3,2: 199:[182, 17] Operation: 138-121=17\nExploring Operation: 138+121=259, Resulting Numbers: [182, 259]\nGenerated Node #0,3,3: 199:[182, 259] Operation: 138+121=259\nMoving to Node #0,2\nCurrent State: 199:[138, 157, 146], Operations: ['25+121=146']\nExploring Operation: 157-138=19, Resulting Numbers: [146, 19]\nGenerated Node #0,2,0: 199:[146, 19] Operation: 157-138=19\nExploring Operation: 138+157=295, Resulting Numbers: [146, 295]\nGenerated Node #0,2,1: 199:[146, 295] Operation: 138+157=295\nExploring Operation: 138+146=284, Resulting Numbers: [157, 284]\nGenerated Node #0,2,2: 199:[157, 284] Operation: 138+146=284\nExploring Operation: 157+146=303, Resulting Numbers: [138, 303]\nGenerated Node #0,2,3: 199:[138, 303] Operation: 157+146=303\nMoving to Node #0,1\nCurrent State: 199:[157, 121, 113], Operations: ['138-25=113']\nExploring Operation: 157-113=44, Resulting Numbers: [121, 44]\nGenerated Node #0,1,0: 199:[121, 44] Operation: 157-113=44\nExploring Operation: 157+113=270, Resulting Numbers: [121, 270]\nGenerated Node #0,1,1: 199:[121, 270] Operation: 157+113=270\nExploring Operation: 121+113=234, Resulting Numbers: [157, 234]\nGenerated Node #0,1,2: 199:[157, 234] Operation: 121+113=234\nExploring Operation: 157+121=278, Resulting Numbers: [113, 278]\nGenerated Node #0,1,3: 199:[113, 278] Operation: 157+121=278\nMoving to Node #0,3,3\nCurrent State: 199:[182, 259], Operations: ['157+25=182', '138+121=259']\nExploring Operation: 182*259=47138, Resulting Numbers: [47138]\n47138,199 unequal: No Solution\nExploring Operation: 182+259=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nExploring Operation: 259-182=77, Resulting Numbers: [77]\n77,199 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 199:[157, 234], Operations: ['138-25=113', '121+113=234']\nExploring Operation: 157*234=36738, Resulting Numbers: [36738]\n36738,199 unequal: No Solution\nExploring Operation: 157+234=391, Resulting Numbers: [391]\n391,199 unequal: No Solution\nExploring Operation: 234-157=77, Resulting Numbers: [77]\n77,199 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 199:[163, 278], Operations: ['138+25=163', '157+121=278']\nExploring Operation: 278-163=115, Resulting Numbers: [115]\n115,199 unequal: No Solution\nExploring Operation: 163+278=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nExploring Operation: 163*278=45314, Resulting Numbers: [45314]\n45314,199 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 199:[157, 284], Operations: ['138+25=163', '121+163=284']\nExploring Operation: 284-157=127, Resulting Numbers: [127]\n127,199 unequal: No Solution\nExploring Operation: 157*284=44588, Resulting Numbers: [44588]\n44588,199 unequal: No Solution\nExploring Operation: 157+284=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 199:[157, 284], Operations: ['25+121=146', '138+146=284']\nExploring Operation: 157*284=44588, Resulting Numbers: [44588]\n44588,199 unequal: No Solution\nExploring Operation: 157+284=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nExploring Operation: 284-157=127, Resulting Numbers: [127]\n127,199 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 199:[127], Operations: ['138+25=163', '121+163=284', '284-157=127']\nMoving to Node #0,1,1\nCurrent State: 199:[121, 270], Operations: ['138-25=113', '157+113=270']\nExploring Operation: 121+270=391, Resulting Numbers: [391]\n391,199 unequal: No Solution\nExploring Operation: 270-121=149, Resulting Numbers: [149]\n149,199 unequal: No Solution\nExploring Operation: 121*270=32670, Resulting Numbers: [32670]\n32670,199 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 199:[146, 295], Operations: ['25+121=146', '138+157=295']\nExploring Operation: 295-146=149, Resulting Numbers: [149]\n149,199 unequal: No Solution\nExploring Operation: 146*295=43070, Resulting Numbers: [43070]\n43070,199 unequal: No Solution\nExploring Operation: 146+295=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 199:[149], Operations: ['138-25=113', '157+113=270', '270-121=149']\nMoving to Node #0,2,1,0\nCurrent State: 199:[149], Operations: ['25+121=146', '138+157=295', '295-146=149']\nMoving to Node #0,2,2,0\nCurrent State: 199:[127], Operations: ['25+121=146', '138+146=284', '284-157=127']\nMoving to Node #0,3,0\nCurrent State: 199:[138, 303], Operations: ['157+25=182', '121+182=303']\nExploring Operation: 138*303=41814, Resulting Numbers: [41814]\n41814,199 unequal: No Solution\nExploring Operation: 303-138=165, Resulting Numbers: [165]\n165,199 unequal: No Solution\nExploring Operation: 138+303=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nMoving to Node #0,3,0,0\nCurrent State: 199:[165], Operations: ['157+25=182', '121+182=303', '303-138=165']\nMoving to Node #0,1,3\nCurrent State: 199:[113, 278], Operations: ['138-25=113', '157+121=278']\nExploring Operation: 113*278=31414, Resulting Numbers: [31414]\n31414,199 unequal: No Solution\nExploring Operation: 113+278=391, Resulting Numbers: [391]\n391,199 unequal: No Solution\nExploring Operation: 278-113=165, Resulting Numbers: [165]\n165,199 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 199:[138, 303], Operations: ['25+121=146', '157+146=303']\nExploring Operation: 303-138=165, Resulting Numbers: [165]\n165,199 unequal: No Solution\nExploring Operation: 138+303=441, Resulting Numbers: [441]\n441,199 unequal: No Solution\nExploring Operation: 138*303=41814, Resulting Numbers: [41814]\n41814,199 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 199:[115], Operations: ['138+25=163', '157+121=278', '278-163=115']\nMoving to Node #0,1,3,0\nCurrent State: 199:[165], Operations: ['138-25=113', '157+121=278', '278-113=165']\nMoving to Node #0,2,3,0\nCurrent State: 199:[165], Operations: ['25+121=146', '157+146=303', '303-138=165']\nMoving to Node #0,0,0\nCurrent State: 199:[163, 36], Operations: ['138+25=163', '157-121=36']\nExploring Operation: 163*36=5868, Resulting Numbers: [5868]\n5868,199 unequal: No Solution\nExploring Operation: 163+36=199, Resulting Numbers: [199]\n199,199 equal: Goal Reached\nFinal operations:\n138+25=163\n157-121=36\n163+36=199",
"role": "assistant"
}
] |
[
138,
157,
25,
121
] | 199
|
bfs_4
|
sum_heuristic
| 0.953993
|
[
{
"content": "Given the numbers [161, 9, 14, 168] and the target 182, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 182:[161, 9, 14, 168], Operations: []\nExploring Operation: 168-161=7, Resulting Numbers: [9, 14, 7]\nGenerated Node #0,0: 182:[9, 14, 7] Operation: 168-161=7\nExploring Operation: 161+14=175, Resulting Numbers: [9, 168, 175]\nGenerated Node #0,1: 182:[9, 168, 175] Operation: 161+14=175\nMoving to Node #0,0\nCurrent State: 182:[9, 14, 7], Operations: ['168-161=7']\nExploring Operation: 9-7=2, Resulting Numbers: [14, 2]\nGenerated Node #0,0,0: 182:[14, 2] Operation: 9-7=2\nExploring Operation: 14-9=5, Resulting Numbers: [7, 5]\nGenerated Node #0,0,1: 182:[7, 5] Operation: 14-9=5\nMoving to Node #0,1\nCurrent State: 182:[9, 168, 175], Operations: ['161+14=175']\nExploring Operation: 9+168=177, Resulting Numbers: [175, 177]\nGenerated Node #0,1,0: 182:[175, 177] Operation: 9+168=177\nExploring Operation: 175-168=7, Resulting Numbers: [9, 7]\nGenerated Node #0,1,1: 182:[9, 7] Operation: 175-168=7\nMoving to Node #0,0,0\nCurrent State: 182:[14, 2], Operations: ['168-161=7', '9-7=2']\nExploring Operation: 14/2=7, Resulting Numbers: [7]\n7,182 unequal: No Solution\nExploring Operation: 14-2=12, Resulting Numbers: [12]\n12,182 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 182:[9, 7], Operations: ['161+14=175', '175-168=7']\nExploring Operation: 9-7=2, Resulting Numbers: [2]\n2,182 unequal: No Solution\nExploring Operation: 9+7=16, Resulting Numbers: [16]\n16,182 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 182:[7], Operations: ['168-161=7', '9-7=2', '14/2=7']\nMoving to Node #0,1,1,0\nCurrent State: 182:[2], Operations: ['161+14=175', '175-168=7', '9-7=2']\nMoving to Node #0,0,0,0\nCurrent State: 182:[12], Operations: ['168-161=7', '9-7=2', '14-2=12']\nMoving to Node #0,0,1\nCurrent State: 182:[7, 5], Operations: ['168-161=7', '14-9=5']\nExploring Operation: 7+5=12, Resulting Numbers: [12]\n12,182 unequal: No Solution\nExploring Operation: 7-5=2, Resulting Numbers: [2]\n2,182 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 182:[2], Operations: ['168-161=7', '14-9=5', '7-5=2']\nMoving to Node #0,0,1,0\nCurrent State: 182:[12], Operations: ['168-161=7', '14-9=5', '7+5=12']\nMoving to Node #0,1,1,0\nCurrent State: 182:[16], Operations: ['161+14=175', '175-168=7', '9+7=16']\nMoving to Node #0,1,0\nCurrent State: 182:[175, 177], Operations: ['161+14=175', '9+168=177']\nExploring Operation: 177-175=2, Resulting Numbers: [2]\n2,182 unequal: No Solution\nExploring Operation: 175+177=352, Resulting Numbers: [352]\n352,182 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 182:[2], Operations: ['161+14=175', '9+168=177', '177-175=2']\nMoving to Node #0,1,0,0\nCurrent State: 182:[352], Operations: ['161+14=175', '9+168=177', '175+177=352']",
"role": "assistant"
}
] |
[
161,
9,
14,
168
] | 182
|
bfs_2
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [41, 44, 121, 116] and the target 161, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 161:[41, 44, 121, 116], Operations: []\nExploring Operation: 41+44=85, Resulting Numbers: [121, 116, 85]\nGenerated Node #0,0: 161:[121, 116, 85] Operation: 41+44=85\nExploring Operation: 44+116=160, Resulting Numbers: [41, 121, 160]\nGenerated Node #0,1: 161:[41, 121, 160] Operation: 44+116=160\nExploring Operation: 41+116=157, Resulting Numbers: [44, 121, 157]\nGenerated Node #0,2: 161:[44, 121, 157] Operation: 41+116=157\nMoving to Node #0,0\nCurrent State: 161:[121, 116, 85], Operations: ['41+44=85']\nExploring Operation: 121+85=206, Resulting Numbers: [116, 206]\nGenerated Node #0,0,0: 161:[116, 206] Operation: 121+85=206\nExploring Operation: 116+85=201, Resulting Numbers: [121, 201]\nGenerated Node #0,0,1: 161:[121, 201] Operation: 116+85=201\nExploring Operation: 121+116=237, Resulting Numbers: [85, 237]\nGenerated Node #0,0,2: 161:[85, 237] Operation: 121+116=237\nMoving to Node #0,1\nCurrent State: 161:[41, 121, 160], Operations: ['44+116=160']\nExploring Operation: 41+160=201, Resulting Numbers: [121, 201]\nGenerated Node #0,1,0: 161:[121, 201] Operation: 41+160=201\nExploring Operation: 121-41=80, Resulting Numbers: [160, 80]\nGenerated Node #0,1,1: 161:[160, 80] Operation: 121-41=80\nExploring Operation: 41+121=162, Resulting Numbers: [160, 162]\nGenerated Node #0,1,2: 161:[160, 162] Operation: 41+121=162\nMoving to Node #0,2\nCurrent State: 161:[44, 121, 157], Operations: ['41+116=157']\nExploring Operation: 44+157=201, Resulting Numbers: [121, 201]\nGenerated Node #0,2,0: 161:[121, 201] Operation: 44+157=201\nExploring Operation: 44+121=165, Resulting Numbers: [157, 165]\nGenerated Node #0,2,1: 161:[157, 165] Operation: 44+121=165\nExploring Operation: 121-44=77, Resulting Numbers: [157, 77]\nGenerated Node #0,2,2: 161:[157, 77] Operation: 121-44=77\nMoving to Node #0,1,2\nCurrent State: 161:[160, 162], Operations: ['44+116=160', '41+121=162']\nExploring Operation: 162-160=2, Resulting Numbers: [2]\n2,161 unequal: No Solution\nExploring Operation: 160+162=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 160*162=25920, Resulting Numbers: [25920]\n25920,161 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 161:[157, 165], Operations: ['41+116=157', '44+121=165']\nExploring Operation: 157+165=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 157*165=25905, Resulting Numbers: [25905]\n25905,161 unequal: No Solution\nExploring Operation: 165-157=8, Resulting Numbers: [8]\n8,161 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 161:[121, 201], Operations: ['41+44=85', '116+85=201']\nExploring Operation: 201-121=80, Resulting Numbers: [80]\n80,161 unequal: No Solution\nExploring Operation: 121+201=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 121*201=24321, Resulting Numbers: [24321]\n24321,161 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 161:[121, 201], Operations: ['44+116=160', '41+160=201']\nExploring Operation: 121*201=24321, Resulting Numbers: [24321]\n24321,161 unequal: No Solution\nExploring Operation: 121+201=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 201-121=80, Resulting Numbers: [80]\n80,161 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 161:[121, 201], Operations: ['41+116=157', '44+157=201']\nExploring Operation: 121*201=24321, Resulting Numbers: [24321]\n24321,161 unequal: No Solution\nExploring Operation: 121+201=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 201-121=80, Resulting Numbers: [80]\n80,161 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 161:[160, 80], Operations: ['44+116=160', '121-41=80']\nExploring Operation: 160+80=240, Resulting Numbers: [240]\n240,161 unequal: No Solution\nExploring Operation: 160-80=80, Resulting Numbers: [80]\n80,161 unequal: No Solution\nExploring Operation: 160/80=2, Resulting Numbers: [2]\n2,161 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 161:[157, 77], Operations: ['41+116=157', '121-44=77']\nExploring Operation: 157+77=234, Resulting Numbers: [234]\n234,161 unequal: No Solution\nExploring Operation: 157*77=12089, Resulting Numbers: [12089]\n12089,161 unequal: No Solution\nExploring Operation: 157-77=80, Resulting Numbers: [80]\n80,161 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 161:[116, 206], Operations: ['41+44=85', '121+85=206']\nExploring Operation: 116+206=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nExploring Operation: 206-116=90, Resulting Numbers: [90]\n90,161 unequal: No Solution\nExploring Operation: 116*206=23896, Resulting Numbers: [23896]\n23896,161 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 161:[85, 237], Operations: ['41+44=85', '121+116=237']\nExploring Operation: 237-85=152, Resulting Numbers: [152]\n152,161 unequal: No Solution\nExploring Operation: 85*237=20145, Resulting Numbers: [20145]\n20145,161 unequal: No Solution\nExploring Operation: 85+237=322, Resulting Numbers: [322]\n322,161 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 161:[152], Operations: ['41+44=85', '121+116=237', '237-85=152']\nMoving to Node #0,0,0,0\nCurrent State: 161:[90], Operations: ['41+44=85', '121+85=206', '206-116=90']\nMoving to Node #0,2,2,0\nCurrent State: 161:[234], Operations: ['41+116=157', '121-44=77', '157+77=234']\nMoving to Node #0,1,1,0\nCurrent State: 161:[240], Operations: ['44+116=160', '121-41=80', '160+80=240']\nMoving to Node #0,0,1,0\nCurrent State: 161:[80], Operations: ['41+44=85', '116+85=201', '201-121=80']\nMoving to Node #0,1,0,0\nCurrent State: 161:[80], Operations: ['44+116=160', '41+160=201', '201-121=80']\nMoving to Node #0,2,2,0\nCurrent State: 161:[80], Operations: ['41+116=157', '121-44=77', '157-77=80']\nMoving to Node #0,1,1,0\nCurrent State: 161:[80], Operations: ['44+116=160', '121-41=80', '160-80=80']\nMoving to Node #0,2,0,0\nCurrent State: 161:[80], Operations: ['41+116=157', '44+157=201', '201-121=80']\nMoving to Node #0,2,1,0\nCurrent State: 161:[8], Operations: ['41+116=157', '44+121=165', '165-157=8']\nMoving to Node #0,1,2,0\nCurrent State: 161:[2], Operations: ['44+116=160', '41+121=162', '162-160=2']\nMoving to Node #0,1,1,0\nCurrent State: 161:[2], Operations: ['44+116=160', '121-41=80', '160/80=2']\nMoving to Node #0,1,0,0\nCurrent State: 161:[322], Operations: ['44+116=160', '41+160=201', '121+201=322']\nMoving to Node #0,0,2,0\nCurrent State: 161:[322], Operations: ['41+44=85', '121+116=237', '85+237=322']\nMoving to Node #0,0,1,0\nCurrent State: 161:[322], Operations: ['41+44=85', '116+85=201', '121+201=322']\nMoving to Node #0,0,0,0\nCurrent State: 161:[322], Operations: ['41+44=85', '121+85=206', '116+206=322']\nMoving to Node #0,2,0,0\nCurrent State: 161:[322], Operations: ['41+116=157', '44+157=201', '121+201=322']\nMoving to Node #0,2,1,0\nCurrent State: 161:[322], Operations: ['41+116=157', '44+121=165', '157+165=322']\nMoving to Node #0,1,2,0\nCurrent State: 161:[322], Operations: ['44+116=160', '41+121=162', '160+162=322']\nMoving to Node #0,2,2,0\nCurrent State: 161:[12089], Operations: ['41+116=157', '121-44=77', '157*77=12089']\nMoving to Node #0,0,2,0\nCurrent State: 161:[20145], Operations: ['41+44=85', '121+116=237', '85*237=20145']\nMoving to Node #0,0,0,0\nCurrent State: 161:[23896], Operations: ['41+44=85', '121+85=206', '116*206=23896']\nMoving to Node #0,1,0,0\nCurrent State: 161:[24321], Operations: ['44+116=160', '41+160=201', '121*201=24321']\nMoving to Node #0,0,1,0\nCurrent State: 161:[24321], Operations: ['41+44=85', '116+85=201', '121*201=24321']\nMoving to Node #0,2,0,0\nCurrent State: 161:[24321], Operations: ['41+116=157', '44+157=201', '121*201=24321']\nMoving to Node #0,2,1,0\nCurrent State: 161:[25905], Operations: ['41+116=157', '44+121=165', '157*165=25905']\nMoving to Node #0,1,2,0\nCurrent State: 161:[25920], Operations: ['44+116=160', '41+121=162', '160*162=25920']",
"role": "assistant"
}
] |
[
41,
44,
121,
116
] | 161
|
bfs_3
|
sum_heuristic
| 0
|
[
{
"content": "Given the numbers [67, 88, 28, 143] and the target 136, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 136:[67, 88, 28, 143], Operations: []\nExploring Operation: 88-28=60, Resulting Numbers: [67, 143, 60]\nGenerated Node #0,0: 136:[67, 143, 60] Operation: 88-28=60\nMoving to Node #0,0\nCurrent State: 136:[67, 143, 60], Operations: ['88-28=60']\nExploring Operation: 67-60=7, Resulting Numbers: [143, 7]\nGenerated Node #0,0,0: 136:[143, 7] Operation: 67-60=7\nMoving to Node #0,0,0\nCurrent State: 136:[143, 7], Operations: ['88-28=60', '67-60=7']\nExploring Operation: 143-7=136, Resulting Numbers: [136]\n136,136 equal: Goal Reached\nFinal operations:\n88-28=60\n67-60=7\n143-7=136",
"role": "assistant"
}
] |
[
67,
88,
28,
143
] | 136
|
dfs
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [61, 131, 194, 137] and the target 127, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 127:[61, 131, 194, 137], Operations: []\nExploring Operation: 194-61=133, Resulting Numbers: [131, 137, 133]\nGenerated Node #0,0: 127:[131, 137, 133] Operation: 194-61=133\nMoving to Node #0,0\nCurrent State: 127:[131, 137, 133], Operations: ['194-61=133']\nExploring Operation: 137-131=6, Resulting Numbers: [133, 6]\nGenerated Node #0,0,0: 127:[133, 6] Operation: 137-131=6\nMoving to Node #0,0,0\nCurrent State: 127:[133, 6], Operations: ['194-61=133', '137-131=6']\nExploring Operation: 133-6=127, Resulting Numbers: [127]\n127,127 equal: Goal Reached\nFinal operations:\n194-61=133\n137-131=6\n133-6=127",
"role": "assistant"
}
] |
[
61,
131,
194,
137
] | 127
|
bfs_1
|
mult_heuristic
| 0.996528
|
[
{
"content": "Given the numbers [125, 128, 83, 147] and the target 127, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 127:[125, 128, 83, 147], Operations: []\nExploring Operation: 147-83=64, Resulting Numbers: [125, 128, 64]\nGenerated Node #0,0: 127:[125, 128, 64] Operation: 147-83=64\nMoving to Node #0,0\nCurrent State: 127:[125, 128, 64], Operations: ['147-83=64']\nExploring Operation: 125+64=189, Resulting Numbers: [128, 189]\nGenerated Node #0,0,0: 127:[128, 189] Operation: 125+64=189\nMoving to Node #0,0,0\nCurrent State: 127:[128, 189], Operations: ['147-83=64', '125+64=189']\nExploring Operation: 189-128=61, Resulting Numbers: [61]\n61,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[125, 128, 64], Operations: ['147-83=64']\nExploring Operation: 128-64=64, Resulting Numbers: [125, 64]\nGenerated Node #0,0,1: 127:[125, 64] Operation: 128-64=64\nMoving to Node #0,0,1\nCurrent State: 127:[125, 64], Operations: ['147-83=64', '128-64=64']\nExploring Operation: 125+64=189, Resulting Numbers: [189]\n189,127 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 127:[125, 64], Operations: ['147-83=64', '128-64=64']\nExploring Operation: 125-64=61, Resulting Numbers: [61]\n61,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[125, 128, 64], Operations: ['147-83=64']\nExploring Operation: 125-64=61, Resulting Numbers: [128, 61]\nGenerated Node #0,0,2: 127:[128, 61] Operation: 125-64=61\nMoving to Node #0,0,2\nCurrent State: 127:[128, 61], Operations: ['147-83=64', '125-64=61']\nExploring Operation: 128-61=67, Resulting Numbers: [67]\n67,127 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 127:[128, 61], Operations: ['147-83=64', '125-64=61']\nExploring Operation: 128+61=189, Resulting Numbers: [189]\n189,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[125, 128, 64], Operations: ['147-83=64']\nExploring Operation: 128+64=192, Resulting Numbers: [125, 192]\nGenerated Node #0,0,3: 127:[125, 192] Operation: 128+64=192\nMoving to Node #0,0,3\nCurrent State: 127:[125, 192], Operations: ['147-83=64', '128+64=192']\nExploring Operation: 192-125=67, Resulting Numbers: [67]\n67,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[125, 128, 64], Operations: ['147-83=64']\nExploring Operation: 128/64=2, Resulting Numbers: [125, 2]\nGenerated Node #0,0,4: 127:[125, 2] Operation: 128/64=2\nMoving to Node #0,0,4\nCurrent State: 127:[125, 2], Operations: ['147-83=64', '128/64=2']\nExploring Operation: 125+2=127, Resulting Numbers: [127]\n127,127 equal: Goal Reached\nFinal operations:\n147-83=64\n128/64=2\n125+2=127",
"role": "assistant"
}
] |
[
125,
128,
83,
147
] | 127
|
dfs
|
sum_heuristic
| 0.987847
|
[
{
"content": "Given the numbers [45, 51, 34, 34] and the target 74, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 74:[45, 51, 34, 34], Operations: []\nExploring Operation: 45+34=79, Resulting Numbers: [51, 34, 79]\nGenerated Node #0,0: 74:[51, 34, 79] Operation: 45+34=79\nExploring Operation: 51+34=85, Resulting Numbers: [45, 34, 85]\nGenerated Node #0,1: 74:[45, 34, 85] Operation: 51+34=85\nExploring Operation: 51-45=6, Resulting Numbers: [34, 34, 6]\nGenerated Node #0,2: 74:[34, 34, 6] Operation: 51-45=6\nExploring Operation: 45+34=79, Resulting Numbers: [51, 34, 79]\nGenerated Node #0,3: 74:[51, 34, 79] Operation: 45+34=79\nMoving to Node #0,2\nCurrent State: 74:[34, 34, 6], Operations: ['51-45=6']\nExploring Operation: 34+6=40, Resulting Numbers: [34, 40]\nGenerated Node #0,2,0: 74:[34, 40] Operation: 34+6=40\nExploring Operation: 34/34=1, Resulting Numbers: [6, 1]\nGenerated Node #0,2,1: 74:[6, 1] Operation: 34/34=1\nExploring Operation: 34-34=0, Resulting Numbers: [6, 0]\nGenerated Node #0,2,2: 74:[6, 0] Operation: 34-34=0\nExploring Operation: 34+6=40, Resulting Numbers: [34, 40]\nGenerated Node #0,2,3: 74:[34, 40] Operation: 34+6=40\nMoving to Node #0,1\nCurrent State: 74:[45, 34, 85], Operations: ['51+34=85']\nExploring Operation: 85-34=51, Resulting Numbers: [45, 51]\nGenerated Node #0,1,0: 74:[45, 51] Operation: 85-34=51\nExploring Operation: 85-45=40, Resulting Numbers: [34, 40]\nGenerated Node #0,1,1: 74:[34, 40] Operation: 85-45=40\nExploring Operation: 45-34=11, Resulting Numbers: [85, 11]\nGenerated Node #0,1,2: 74:[85, 11] Operation: 45-34=11\nExploring Operation: 45+34=79, Resulting Numbers: [85, 79]\nGenerated Node #0,1,3: 74:[85, 79] Operation: 45+34=79\nMoving to Node #0,0\nCurrent State: 74:[51, 34, 79], Operations: ['45+34=79']\nExploring Operation: 51-34=17, Resulting Numbers: [79, 17]\nGenerated Node #0,0,0: 74:[79, 17] Operation: 51-34=17\nExploring Operation: 79-34=45, Resulting Numbers: [51, 45]\nGenerated Node #0,0,1: 74:[51, 45] Operation: 79-34=45\nExploring Operation: 51+34=85, Resulting Numbers: [79, 85]\nGenerated Node #0,0,2: 74:[79, 85] Operation: 51+34=85\nExploring Operation: 79-51=28, Resulting Numbers: [34, 28]\nGenerated Node #0,0,3: 74:[34, 28] Operation: 79-51=28\nMoving to Node #0,3\nCurrent State: 74:[51, 34, 79], Operations: ['45+34=79']\nExploring Operation: 79-51=28, Resulting Numbers: [34, 28]\nGenerated Node #0,3,0: 74:[34, 28] Operation: 79-51=28\nExploring Operation: 51-34=17, Resulting Numbers: [79, 17]\nGenerated Node #0,3,1: 74:[79, 17] Operation: 51-34=17\nExploring Operation: 51+34=85, Resulting Numbers: [79, 85]\nGenerated Node #0,3,2: 74:[79, 85] Operation: 51+34=85\nExploring Operation: 79-34=45, Resulting Numbers: [51, 45]\nGenerated Node #0,3,3: 74:[51, 45] Operation: 79-34=45\nMoving to Node #0,2,1\nCurrent State: 74:[6, 1], Operations: ['51-45=6', '34/34=1']\nExploring Operation: 6/1=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 6+1=7, Resulting Numbers: [7]\n7,74 unequal: No Solution\nExploring Operation: 6*1=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 6-1=5, Resulting Numbers: [5]\n5,74 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 74:[6, 0], Operations: ['51-45=6', '34-34=0']\nExploring Operation: 6-0=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 6+0=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 6*0=0, Resulting Numbers: [0]\n0,74 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 74:[34, 40], Operations: ['51-45=6', '34+6=40']\nExploring Operation: 40-34=6, Resulting Numbers: [6]\n6,74 unequal: No Solution\nExploring Operation: 34*40=1360, Resulting Numbers: [1360]\n1360,74 unequal: No Solution\nExploring Operation: 34+40=74, Resulting Numbers: [74]\n74,74 equal: Goal Reached\nFinal operations:\n51-45=6\n34+6=40\n34+40=74",
"role": "assistant"
}
] |
[
45,
51,
34,
34
] | 74
|
bfs_4
|
mult_heuristic
| 0.97309
|
[
{
"content": "Given the numbers [118, 170, 116, 31] and the target 199, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 199:[118, 170, 116, 31], Operations: []\nExploring Operation: 170+31=201, Resulting Numbers: [118, 116, 201]\nGenerated Node #0,0: 199:[118, 116, 201] Operation: 170+31=201\nExploring Operation: 170-31=139, Resulting Numbers: [118, 116, 139]\nGenerated Node #0,1: 199:[118, 116, 139] Operation: 170-31=139\nExploring Operation: 118+31=149, Resulting Numbers: [170, 116, 149]\nGenerated Node #0,2: 199:[170, 116, 149] Operation: 118+31=149\nExploring Operation: 116+31=147, Resulting Numbers: [118, 170, 147]\nGenerated Node #0,3: 199:[118, 170, 147] Operation: 116+31=147\nExploring Operation: 118-31=87, Resulting Numbers: [170, 116, 87]\nGenerated Node #0,4: 199:[170, 116, 87] Operation: 118-31=87\nMoving to Node #0,2\nCurrent State: 199:[170, 116, 149], Operations: ['118+31=149']\nExploring Operation: 149-116=33, Resulting Numbers: [170, 33]\nGenerated Node #0,2,0: 199:[170, 33] Operation: 149-116=33\nExploring Operation: 170-116=54, Resulting Numbers: [149, 54]\nGenerated Node #0,2,1: 199:[149, 54] Operation: 170-116=54\nExploring Operation: 170+116=286, Resulting Numbers: [149, 286]\nGenerated Node #0,2,2: 199:[149, 286] Operation: 170+116=286\nExploring Operation: 170+149=319, Resulting Numbers: [116, 319]\nGenerated Node #0,2,3: 199:[116, 319] Operation: 170+149=319\nExploring Operation: 116+149=265, Resulting Numbers: [170, 265]\nGenerated Node #0,2,4: 199:[170, 265] Operation: 116+149=265\nMoving to Node #0,3\nCurrent State: 199:[118, 170, 147], Operations: ['116+31=147']\nExploring Operation: 170+147=317, Resulting Numbers: [118, 317]\nGenerated Node #0,3,0: 199:[118, 317] Operation: 170+147=317\nExploring Operation: 170-118=52, Resulting Numbers: [147, 52]\nGenerated Node #0,3,1: 199:[147, 52] Operation: 170-118=52\nExploring Operation: 147-118=29, Resulting Numbers: [170, 29]\nGenerated Node #0,3,2: 199:[170, 29] Operation: 147-118=29\nExploring Operation: 118+170=288, Resulting Numbers: [147, 288]\nGenerated Node #0,3,3: 199:[147, 288] Operation: 118+170=288\nExploring Operation: 118+147=265, Resulting Numbers: [170, 265]\nGenerated Node #0,3,4: 199:[170, 265] Operation: 118+147=265\nMoving to Node #0,0\nCurrent State: 199:[118, 116, 201], Operations: ['170+31=201']\nExploring Operation: 116+201=317, Resulting Numbers: [118, 317]\nGenerated Node #0,0,0: 199:[118, 317] Operation: 116+201=317\nExploring Operation: 201-118=83, Resulting Numbers: [116, 83]\nGenerated Node #0,0,1: 199:[116, 83] Operation: 201-118=83\nExploring Operation: 118+116=234, Resulting Numbers: [201, 234]\nGenerated Node #0,0,2: 199:[201, 234] Operation: 118+116=234\nExploring Operation: 118-116=2, Resulting Numbers: [201, 2]\nGenerated Node #0,0,3: 199:[201, 2] Operation: 118-116=2\nExploring Operation: 201-116=85, Resulting Numbers: [118, 85]\nGenerated Node #0,0,4: 199:[118, 85] Operation: 201-116=85\nMoving to Node #0,1\nCurrent State: 199:[118, 116, 139], Operations: ['170-31=139']\nExploring Operation: 116+139=255, Resulting Numbers: [118, 255]\nGenerated Node #0,1,0: 199:[118, 255] Operation: 116+139=255\nExploring Operation: 118+116=234, Resulting Numbers: [139, 234]\nGenerated Node #0,1,1: 199:[139, 234] Operation: 118+116=234\nExploring Operation: 139-116=23, Resulting Numbers: [118, 23]\nGenerated Node #0,1,2: 199:[118, 23] Operation: 139-116=23\nExploring Operation: 118+139=257, Resulting Numbers: [116, 257]\nGenerated Node #0,1,3: 199:[116, 257] Operation: 118+139=257\nExploring Operation: 118-116=2, Resulting Numbers: [139, 2]\nGenerated Node #0,1,4: 199:[139, 2] Operation: 118-116=2\nMoving to Node #0,4\nCurrent State: 199:[170, 116, 87], Operations: ['118-31=87']\nExploring Operation: 116+87=203, Resulting Numbers: [170, 203]\nGenerated Node #0,4,0: 199:[170, 203] Operation: 116+87=203\nExploring Operation: 170-87=83, Resulting Numbers: [116, 83]\nGenerated Node #0,4,1: 199:[116, 83] Operation: 170-87=83\nExploring Operation: 170+87=257, Resulting Numbers: [116, 257]\nGenerated Node #0,4,2: 199:[116, 257] Operation: 170+87=257\nExploring Operation: 116-87=29, Resulting Numbers: [170, 29]\nGenerated Node #0,4,3: 199:[170, 29] Operation: 116-87=29\nExploring Operation: 170+116=286, Resulting Numbers: [87, 286]\nGenerated Node #0,4,4: 199:[87, 286] Operation: 170+116=286\nMoving to Node #0,4,0\nCurrent State: 199:[170, 203], Operations: ['118-31=87', '116+87=203']\nExploring Operation: 170+203=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nExploring Operation: 170*203=34510, Resulting Numbers: [34510]\n34510,199 unequal: No Solution\nExploring Operation: 203-170=33, Resulting Numbers: [33]\n33,199 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 199:[201, 234], Operations: ['170+31=201', '118+116=234']\nExploring Operation: 201+234=435, Resulting Numbers: [435]\n435,199 unequal: No Solution\nExploring Operation: 234-201=33, Resulting Numbers: [33]\n33,199 unequal: No Solution\nExploring Operation: 201*234=47034, Resulting Numbers: [47034]\n47034,199 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 199:[170, 265], Operations: ['116+31=147', '118+147=265']\nExploring Operation: 265-170=95, Resulting Numbers: [95]\n95,199 unequal: No Solution\nExploring Operation: 170+265=435, Resulting Numbers: [435]\n435,199 unequal: No Solution\nExploring Operation: 170*265=45050, Resulting Numbers: [45050]\n45050,199 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 199:[170, 265], Operations: ['118+31=149', '116+149=265']\nExploring Operation: 170*265=45050, Resulting Numbers: [45050]\n45050,199 unequal: No Solution\nExploring Operation: 265-170=95, Resulting Numbers: [95]\n95,199 unequal: No Solution\nExploring Operation: 170+265=435, Resulting Numbers: [435]\n435,199 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 199:[139, 234], Operations: ['170-31=139', '118+116=234']\nExploring Operation: 139+234=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nExploring Operation: 234-139=95, Resulting Numbers: [95]\n95,199 unequal: No Solution\nExploring Operation: 139*234=32526, Resulting Numbers: [32526]\n32526,199 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 199:[149, 286], Operations: ['118+31=149', '170+116=286']\nExploring Operation: 286-149=137, Resulting Numbers: [137]\n137,199 unequal: No Solution\nExploring Operation: 149+286=435, Resulting Numbers: [435]\n435,199 unequal: No Solution\nExploring Operation: 149*286=42614, Resulting Numbers: [42614]\n42614,199 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 199:[118, 255], Operations: ['170-31=139', '116+139=255']\nExploring Operation: 118+255=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nExploring Operation: 118*255=30090, Resulting Numbers: [30090]\n30090,199 unequal: No Solution\nExploring Operation: 255-118=137, Resulting Numbers: [137]\n137,199 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 199:[147, 288], Operations: ['116+31=147', '118+170=288']\nExploring Operation: 147+288=435, Resulting Numbers: [435]\n435,199 unequal: No Solution\nExploring Operation: 288-147=141, Resulting Numbers: [141]\n141,199 unequal: No Solution\nExploring Operation: 147*288=42336, Resulting Numbers: [42336]\n42336,199 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 199:[116, 257], Operations: ['118-31=87', '170+87=257']\nExploring Operation: 257-116=141, Resulting Numbers: [141]\n141,199 unequal: No Solution\nExploring Operation: 116+257=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nExploring Operation: 116*257=29812, Resulting Numbers: [29812]\n29812,199 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 199:[116, 257], Operations: ['170-31=139', '118+139=257']\nExploring Operation: 116+257=373, Resulting Numbers: [373]\n373,199 unequal: No Solution\nExploring Operation: 257-116=141, Resulting Numbers: [141]\n141,199 unequal: No Solution\nExploring Operation: 116*257=29812, Resulting Numbers: [29812]\n29812,199 unequal: No Solution\nMoving to Node #0,3,3,0\nCurrent State: 199:[141], Operations: ['116+31=147', '118+170=288', '288-147=141']\nMoving to Node #0,4,2,0\nCurrent State: 199:[141], Operations: ['118-31=87', '170+87=257', '257-116=141']\nMoving to Node #0,1,3,0\nCurrent State: 199:[141], Operations: ['170-31=139', '118+139=257', '257-116=141']\nMoving to Node #0,2,2,0\nCurrent State: 199:[137], Operations: ['118+31=149', '170+116=286', '286-149=137']\nMoving to Node #0,1,0,0\nCurrent State: 199:[137], Operations: ['170-31=139', '116+139=255', '255-118=137']\nMoving to Node #0,2,0\nCurrent State: 199:[170, 33], Operations: ['118+31=149', '149-116=33']\nExploring Operation: 170-33=137, Resulting Numbers: [137]\n137,199 unequal: No Solution\nExploring Operation: 170*33=5610, Resulting Numbers: [5610]\n5610,199 unequal: No Solution\nExploring Operation: 170+33=203, Resulting Numbers: [203]\n203,199 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 199:[118, 85], Operations: ['170+31=201', '201-116=85']\nExploring Operation: 118+85=203, Resulting Numbers: [203]\n203,199 unequal: No Solution\nExploring Operation: 118-85=33, Resulting Numbers: [33]\n33,199 unequal: No Solution\nExploring Operation: 118*85=10030, Resulting Numbers: [10030]\n10030,199 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 199:[149, 54], Operations: ['118+31=149', '170-116=54']\nExploring Operation: 149+54=203, Resulting Numbers: [203]\n203,199 unequal: No Solution\nExploring Operation: 149*54=8046, Resulting Numbers: [8046]\n8046,199 unequal: No Solution\nExploring Operation: 149-54=95, Resulting Numbers: [95]\n95,199 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 199:[201, 2], Operations: ['170+31=201', '118-116=2']\nExploring Operation: 201-2=199, Resulting Numbers: [199]\n199,199 equal: Goal Reached\nFinal operations:\n170+31=201\n118-116=2\n201-2=199",
"role": "assistant"
}
] |
[
118,
170,
116,
31
] | 199
|
bfs_5
|
sum_heuristic
| 0.938368
|
[
{
"content": "Given the numbers [120, 179, 79, 88] and the target 108, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 108:[120, 179, 79, 88], Operations: []\nExploring Operation: 179-79=100, Resulting Numbers: [120, 88, 100]\nGenerated Node #0,0: 108:[120, 88, 100] Operation: 179-79=100\nMoving to Node #0,0\nCurrent State: 108:[120, 88, 100], Operations: ['179-79=100']\nExploring Operation: 120-88=32, Resulting Numbers: [100, 32]\nGenerated Node #0,0,0: 108:[100, 32] Operation: 120-88=32\nMoving to Node #0,0,0\nCurrent State: 108:[100, 32], Operations: ['179-79=100', '120-88=32']\nExploring Operation: 100-32=68, Resulting Numbers: [68]\n68,108 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 108:[100, 32], Operations: ['179-79=100', '120-88=32']\nExploring Operation: 100+32=132, Resulting Numbers: [132]\n132,108 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 108:[120, 88, 100], Operations: ['179-79=100']\nExploring Operation: 100-88=12, Resulting Numbers: [120, 12]\nGenerated Node #0,0,1: 108:[120, 12] Operation: 100-88=12\nMoving to Node #0,0,1\nCurrent State: 108:[120, 12], Operations: ['179-79=100', '100-88=12']\nExploring Operation: 120-12=108, Resulting Numbers: [108]\n108,108 equal: Goal Reached\nFinal operations:\n179-79=100\n100-88=12\n120-12=108",
"role": "assistant"
}
] |
[
120,
179,
79,
88
] | 108
|
dfs
|
mult_heuristic
| 0.993924
|
[
{
"content": "Given the numbers [94, 16, 83, 187] and the target 182, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 182:[94, 16, 83, 187], Operations: []\nExploring Operation: 16+83=99, Resulting Numbers: [94, 187, 99]\nGenerated Node #0,0: 182:[94, 187, 99] Operation: 16+83=99\nExploring Operation: 94+16=110, Resulting Numbers: [83, 187, 110]\nGenerated Node #0,1: 182:[83, 187, 110] Operation: 94+16=110\nExploring Operation: 94+83=177, Resulting Numbers: [16, 187, 177]\nGenerated Node #0,2: 182:[16, 187, 177] Operation: 94+83=177\nMoving to Node #0,0\nCurrent State: 182:[94, 187, 99], Operations: ['16+83=99']\nExploring Operation: 94+187=281, Resulting Numbers: [99, 281]\nGenerated Node #0,0,0: 182:[99, 281] Operation: 94+187=281\nExploring Operation: 187-94=93, Resulting Numbers: [99, 93]\nGenerated Node #0,0,1: 182:[99, 93] Operation: 187-94=93\nExploring Operation: 94+99=193, Resulting Numbers: [187, 193]\nGenerated Node #0,0,2: 182:[187, 193] Operation: 94+99=193\nMoving to Node #0,1\nCurrent State: 182:[83, 187, 110], Operations: ['94+16=110']\nExploring Operation: 83+187=270, Resulting Numbers: [110, 270]\nGenerated Node #0,1,0: 182:[110, 270] Operation: 83+187=270\nExploring Operation: 83+110=193, Resulting Numbers: [187, 193]\nGenerated Node #0,1,1: 182:[187, 193] Operation: 83+110=193\nExploring Operation: 187-83=104, Resulting Numbers: [110, 104]\nGenerated Node #0,1,2: 182:[110, 104] Operation: 187-83=104\nMoving to Node #0,2\nCurrent State: 182:[16, 187, 177], Operations: ['94+83=177']\nExploring Operation: 16+177=193, Resulting Numbers: [187, 193]\nGenerated Node #0,2,0: 182:[187, 193] Operation: 16+177=193\nExploring Operation: 187-16=171, Resulting Numbers: [177, 171]\nGenerated Node #0,2,1: 182:[177, 171] Operation: 187-16=171\nExploring Operation: 16+187=203, Resulting Numbers: [177, 203]\nGenerated Node #0,2,2: 182:[177, 203] Operation: 16+187=203\nMoving to Node #0,0,2\nCurrent State: 182:[187, 193], Operations: ['16+83=99', '94+99=193']\nExploring Operation: 187+193=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nExploring Operation: 193-187=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 187*193=36091, Resulting Numbers: [36091]\n36091,182 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 182:[187, 193], Operations: ['94+83=177', '16+177=193']\nExploring Operation: 187+193=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nExploring Operation: 193-187=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 187*193=36091, Resulting Numbers: [36091]\n36091,182 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 182:[187, 193], Operations: ['94+16=110', '83+110=193']\nExploring Operation: 187*193=36091, Resulting Numbers: [36091]\n36091,182 unequal: No Solution\nExploring Operation: 193-187=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 187+193=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 182:[177, 171], Operations: ['94+83=177', '187-16=171']\nExploring Operation: 177+171=348, Resulting Numbers: [348]\n348,182 unequal: No Solution\nExploring Operation: 177-171=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 177*171=30267, Resulting Numbers: [30267]\n30267,182 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 182:[177, 203], Operations: ['94+83=177', '16+187=203']\nExploring Operation: 177*203=35931, Resulting Numbers: [35931]\n35931,182 unequal: No Solution\nExploring Operation: 177+203=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nExploring Operation: 203-177=26, Resulting Numbers: [26]\n26,182 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 182:[110, 104], Operations: ['94+16=110', '187-83=104']\nExploring Operation: 110-104=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 110*104=11440, Resulting Numbers: [11440]\n11440,182 unequal: No Solution\nExploring Operation: 110+104=214, Resulting Numbers: [214]\n214,182 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 182:[214], Operations: ['94+16=110', '187-83=104', '110+104=214']\nMoving to Node #0,1,0\nCurrent State: 182:[110, 270], Operations: ['94+16=110', '83+187=270']\nExploring Operation: 270-110=160, Resulting Numbers: [160]\n160,182 unequal: No Solution\nExploring Operation: 110*270=29700, Resulting Numbers: [29700]\n29700,182 unequal: No Solution\nExploring Operation: 110+270=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 182:[99, 93], Operations: ['16+83=99', '187-94=93']\nExploring Operation: 99+93=192, Resulting Numbers: [192]\n192,182 unequal: No Solution\nExploring Operation: 99-93=6, Resulting Numbers: [6]\n6,182 unequal: No Solution\nExploring Operation: 99*93=9207, Resulting Numbers: [9207]\n9207,182 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 182:[192], Operations: ['16+83=99', '187-94=93', '99+93=192']\nMoving to Node #0,1,0,0\nCurrent State: 182:[160], Operations: ['94+16=110', '83+187=270', '270-110=160']\nMoving to Node #0,0,0\nCurrent State: 182:[99, 281], Operations: ['16+83=99', '94+187=281']\nExploring Operation: 99+281=380, Resulting Numbers: [380]\n380,182 unequal: No Solution\nExploring Operation: 281-99=182, Resulting Numbers: [182]\n182,182 equal: Goal Reached\nFinal operations:\n16+83=99\n94+187=281\n281-99=182",
"role": "assistant"
}
] |
[
94,
16,
83,
187
] | 182
|
bfs_3
|
sum_heuristic
| 0.966146
|
[
{
"content": "Given the numbers [56, 73, 48, 157] and the target 98, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 157-73=84, Resulting Numbers: [56, 48, 84]\nGenerated Node #0,0: 98:[56, 48, 84] Operation: 157-73=84\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 56-48=8, Resulting Numbers: [84, 8]\nGenerated Node #0,0,0: 98:[84, 8] Operation: 56-48=8\nMoving to Node #0,0,0\nCurrent State: 98:[84, 8], Operations: ['157-73=84', '56-48=8']\nExploring Operation: 84+8=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 98:[84, 8], Operations: ['157-73=84', '56-48=8']\nExploring Operation: 84-8=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 84-56=28, Resulting Numbers: [48, 28]\nGenerated Node #0,0,1: 98:[48, 28] Operation: 84-56=28\nMoving to Node #0,0,1\nCurrent State: 98:[48, 28], Operations: ['157-73=84', '84-56=28']\nExploring Operation: 48-28=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 98:[48, 28], Operations: ['157-73=84', '84-56=28']\nExploring Operation: 48+28=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 56+48=104, Resulting Numbers: [84, 104]\nGenerated Node #0,0,2: 98:[84, 104] Operation: 56+48=104\nMoving to Node #0,0,2\nCurrent State: 98:[84, 104], Operations: ['157-73=84', '56+48=104']\nExploring Operation: 104-84=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 98:[84, 104], Operations: ['157-73=84', '56+48=104']\nExploring Operation: 84+104=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 84-48=36, Resulting Numbers: [56, 36]\nGenerated Node #0,0,3: 98:[56, 36] Operation: 84-48=36\nMoving to Node #0,0,3\nCurrent State: 98:[56, 36], Operations: ['157-73=84', '84-48=36']\nExploring Operation: 56+36=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 98:[56, 36], Operations: ['157-73=84', '84-48=36']\nExploring Operation: 56-36=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 48+84=132, Resulting Numbers: [56, 132]\nGenerated Node #0,0,4: 98:[56, 132] Operation: 48+84=132\nMoving to Node #0,0,4\nCurrent State: 98:[56, 132], Operations: ['157-73=84', '48+84=132']\nExploring Operation: 132-56=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 98:[56, 132], Operations: ['157-73=84', '48+84=132']\nExploring Operation: 56+132=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 98:[56, 48, 84], Operations: ['157-73=84']\nExploring Operation: 56+84=140, Resulting Numbers: [48, 140]\nGenerated Node #0,0,5: 98:[48, 140] Operation: 56+84=140\nMoving to Node #0,0,5\nCurrent State: 98:[48, 140], Operations: ['157-73=84', '56+84=140']\nExploring Operation: 140-48=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 98:[48, 140], Operations: ['157-73=84', '56+84=140']\nExploring Operation: 48+140=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 157-56=101, Resulting Numbers: [73, 48, 101]\nGenerated Node #0,1: 98:[73, 48, 101] Operation: 157-56=101\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 73-48=25, Resulting Numbers: [101, 25]\nGenerated Node #0,1,0: 98:[101, 25] Operation: 73-48=25\nMoving to Node #0,1,0\nCurrent State: 98:[101, 25], Operations: ['157-56=101', '73-48=25']\nExploring Operation: 101-25=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 98:[101, 25], Operations: ['157-56=101', '73-48=25']\nExploring Operation: 101+25=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 101-73=28, Resulting Numbers: [48, 28]\nGenerated Node #0,1,1: 98:[48, 28] Operation: 101-73=28\nMoving to Node #0,1,1\nCurrent State: 98:[48, 28], Operations: ['157-56=101', '101-73=28']\nExploring Operation: 48-28=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 98:[48, 28], Operations: ['157-56=101', '101-73=28']\nExploring Operation: 48+28=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 73+48=121, Resulting Numbers: [101, 121]\nGenerated Node #0,1,2: 98:[101, 121] Operation: 73+48=121\nMoving to Node #0,1,2\nCurrent State: 98:[101, 121], Operations: ['157-56=101', '73+48=121']\nExploring Operation: 121-101=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 101-48=53, Resulting Numbers: [73, 53]\nGenerated Node #0,1,3: 98:[73, 53] Operation: 101-48=53\nMoving to Node #0,1,3\nCurrent State: 98:[73, 53], Operations: ['157-56=101', '101-48=53']\nExploring Operation: 73-53=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 98:[73, 53], Operations: ['157-56=101', '101-48=53']\nExploring Operation: 73+53=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 48+101=149, Resulting Numbers: [73, 149]\nGenerated Node #0,1,4: 98:[73, 149] Operation: 48+101=149\nMoving to Node #0,1,4\nCurrent State: 98:[73, 149], Operations: ['157-56=101', '48+101=149']\nExploring Operation: 149-73=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 98:[73, 48, 101], Operations: ['157-56=101']\nExploring Operation: 73+101=174, Resulting Numbers: [48, 174]\nGenerated Node #0,1,5: 98:[48, 174] Operation: 73+101=174\nMoving to Node #0,1,5\nCurrent State: 98:[48, 174], Operations: ['157-56=101', '73+101=174']\nExploring Operation: 174-48=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 157-48=109, Resulting Numbers: [56, 73, 109]\nGenerated Node #0,2: 98:[56, 73, 109] Operation: 157-48=109\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 73-56=17, Resulting Numbers: [109, 17]\nGenerated Node #0,2,0: 98:[109, 17] Operation: 73-56=17\nMoving to Node #0,2,0\nCurrent State: 98:[109, 17], Operations: ['157-48=109', '73-56=17']\nExploring Operation: 109-17=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 98:[109, 17], Operations: ['157-48=109', '73-56=17']\nExploring Operation: 109+17=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 109-73=36, Resulting Numbers: [56, 36]\nGenerated Node #0,2,1: 98:[56, 36] Operation: 109-73=36\nMoving to Node #0,2,1\nCurrent State: 98:[56, 36], Operations: ['157-48=109', '109-73=36']\nExploring Operation: 56+36=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 98:[56, 36], Operations: ['157-48=109', '109-73=36']\nExploring Operation: 56-36=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 109-56=53, Resulting Numbers: [73, 53]\nGenerated Node #0,2,2: 98:[73, 53] Operation: 109-56=53\nMoving to Node #0,2,2\nCurrent State: 98:[73, 53], Operations: ['157-48=109', '109-56=53']\nExploring Operation: 73-53=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 98:[73, 53], Operations: ['157-48=109', '109-56=53']\nExploring Operation: 73+53=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 56+73=129, Resulting Numbers: [109, 129]\nGenerated Node #0,2,3: 98:[109, 129] Operation: 56+73=129\nMoving to Node #0,2,3\nCurrent State: 98:[109, 129], Operations: ['157-48=109', '56+73=129']\nExploring Operation: 129-109=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 56+109=165, Resulting Numbers: [73, 165]\nGenerated Node #0,2,4: 98:[73, 165] Operation: 56+109=165\nMoving to Node #0,2,4\nCurrent State: 98:[73, 165], Operations: ['157-48=109', '56+109=165']\nExploring Operation: 165-73=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 98:[56, 73, 109], Operations: ['157-48=109']\nExploring Operation: 73+109=182, Resulting Numbers: [56, 182]\nGenerated Node #0,2,5: 98:[56, 182] Operation: 73+109=182\nMoving to Node #0,2,5\nCurrent State: 98:[56, 182], Operations: ['157-48=109', '73+109=182']\nExploring Operation: 182-56=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 73-56=17, Resulting Numbers: [48, 157, 17]\nGenerated Node #0,3: 98:[48, 157, 17] Operation: 73-56=17\nMoving to Node #0,3\nCurrent State: 98:[48, 157, 17], Operations: ['73-56=17']\nExploring Operation: 157-48=109, Resulting Numbers: [17, 109]\nGenerated Node #0,3,0: 98:[17, 109] Operation: 157-48=109\nMoving to Node #0,3,0\nCurrent State: 98:[17, 109], Operations: ['73-56=17', '157-48=109']\nExploring Operation: 109-17=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 98:[17, 109], Operations: ['73-56=17', '157-48=109']\nExploring Operation: 17+109=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[48, 157, 17], Operations: ['73-56=17']\nExploring Operation: 157-17=140, Resulting Numbers: [48, 140]\nGenerated Node #0,3,1: 98:[48, 140] Operation: 157-17=140\nMoving to Node #0,3,1\nCurrent State: 98:[48, 140], Operations: ['73-56=17', '157-17=140']\nExploring Operation: 140-48=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 98:[48, 140], Operations: ['73-56=17', '157-17=140']\nExploring Operation: 48+140=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[48, 157, 17], Operations: ['73-56=17']\nExploring Operation: 48+17=65, Resulting Numbers: [157, 65]\nGenerated Node #0,3,2: 98:[157, 65] Operation: 48+17=65\nMoving to Node #0,3,2\nCurrent State: 98:[157, 65], Operations: ['73-56=17', '48+17=65']\nExploring Operation: 157-65=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[48, 157, 17], Operations: ['73-56=17']\nExploring Operation: 48-17=31, Resulting Numbers: [157, 31]\nGenerated Node #0,3,3: 98:[157, 31] Operation: 48-17=31\nMoving to Node #0,3,3\nCurrent State: 98:[157, 31], Operations: ['73-56=17', '48-17=31']\nExploring Operation: 157-31=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 98:[157, 31], Operations: ['73-56=17', '48-17=31']\nExploring Operation: 157+31=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 98:[48, 157, 17], Operations: ['73-56=17']\nExploring Operation: 157+17=174, Resulting Numbers: [48, 174]\nGenerated Node #0,3,4: 98:[48, 174] Operation: 157+17=174\nMoving to Node #0,3,4\nCurrent State: 98:[48, 174], Operations: ['73-56=17', '157+17=174']\nExploring Operation: 174-48=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 73-48=25, Resulting Numbers: [56, 157, 25]\nGenerated Node #0,4: 98:[56, 157, 25] Operation: 73-48=25\nMoving to Node #0,4\nCurrent State: 98:[56, 157, 25], Operations: ['73-48=25']\nExploring Operation: 157-56=101, Resulting Numbers: [25, 101]\nGenerated Node #0,4,0: 98:[25, 101] Operation: 157-56=101\nMoving to Node #0,4,0\nCurrent State: 98:[25, 101], Operations: ['73-48=25', '157-56=101']\nExploring Operation: 101-25=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 98:[25, 101], Operations: ['73-48=25', '157-56=101']\nExploring Operation: 25+101=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[56, 157, 25], Operations: ['73-48=25']\nExploring Operation: 157-25=132, Resulting Numbers: [56, 132]\nGenerated Node #0,4,1: 98:[56, 132] Operation: 157-25=132\nMoving to Node #0,4,1\nCurrent State: 98:[56, 132], Operations: ['73-48=25', '157-25=132']\nExploring Operation: 132-56=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 98:[56, 132], Operations: ['73-48=25', '157-25=132']\nExploring Operation: 56+132=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[56, 157, 25], Operations: ['73-48=25']\nExploring Operation: 56+25=81, Resulting Numbers: [157, 81]\nGenerated Node #0,4,2: 98:[157, 81] Operation: 56+25=81\nMoving to Node #0,4,2\nCurrent State: 98:[157, 81], Operations: ['73-48=25', '56+25=81']\nExploring Operation: 157-81=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[56, 157, 25], Operations: ['73-48=25']\nExploring Operation: 56-25=31, Resulting Numbers: [157, 31]\nGenerated Node #0,4,3: 98:[157, 31] Operation: 56-25=31\nMoving to Node #0,4,3\nCurrent State: 98:[157, 31], Operations: ['73-48=25', '56-25=31']\nExploring Operation: 157-31=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,4,3\nCurrent State: 98:[157, 31], Operations: ['73-48=25', '56-25=31']\nExploring Operation: 157+31=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 98:[56, 157, 25], Operations: ['73-48=25']\nExploring Operation: 157+25=182, Resulting Numbers: [56, 182]\nGenerated Node #0,4,4: 98:[56, 182] Operation: 157+25=182\nMoving to Node #0,4,4\nCurrent State: 98:[56, 182], Operations: ['73-48=25', '157+25=182']\nExploring Operation: 182-56=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 56-48=8, Resulting Numbers: [73, 157, 8]\nGenerated Node #0,5: 98:[73, 157, 8] Operation: 56-48=8\nMoving to Node #0,5\nCurrent State: 98:[73, 157, 8], Operations: ['56-48=8']\nExploring Operation: 157-73=84, Resulting Numbers: [8, 84]\nGenerated Node #0,5,0: 98:[8, 84] Operation: 157-73=84\nMoving to Node #0,5,0\nCurrent State: 98:[8, 84], Operations: ['56-48=8', '157-73=84']\nExploring Operation: 8+84=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 98:[8, 84], Operations: ['56-48=8', '157-73=84']\nExploring Operation: 84-8=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[73, 157, 8], Operations: ['56-48=8']\nExploring Operation: 73-8=65, Resulting Numbers: [157, 65]\nGenerated Node #0,5,1: 98:[157, 65] Operation: 73-8=65\nMoving to Node #0,5,1\nCurrent State: 98:[157, 65], Operations: ['56-48=8', '73-8=65']\nExploring Operation: 157-65=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[73, 157, 8], Operations: ['56-48=8']\nExploring Operation: 157-8=149, Resulting Numbers: [73, 149]\nGenerated Node #0,5,2: 98:[73, 149] Operation: 157-8=149\nMoving to Node #0,5,2\nCurrent State: 98:[73, 149], Operations: ['56-48=8', '157-8=149']\nExploring Operation: 149-73=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[73, 157, 8], Operations: ['56-48=8']\nExploring Operation: 73+8=81, Resulting Numbers: [157, 81]\nGenerated Node #0,5,3: 98:[157, 81] Operation: 73+8=81\nMoving to Node #0,5,3\nCurrent State: 98:[157, 81], Operations: ['56-48=8', '73+8=81']\nExploring Operation: 157-81=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 98:[73, 157, 8], Operations: ['56-48=8']\nExploring Operation: 157+8=165, Resulting Numbers: [73, 165]\nGenerated Node #0,5,4: 98:[73, 165] Operation: 157+8=165\nMoving to Node #0,5,4\nCurrent State: 98:[73, 165], Operations: ['56-48=8', '157+8=165']\nExploring Operation: 165-73=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 56+48=104, Resulting Numbers: [73, 157, 104]\nGenerated Node #0,6: 98:[73, 157, 104] Operation: 56+48=104\nMoving to Node #0,6\nCurrent State: 98:[73, 157, 104], Operations: ['56+48=104']\nExploring Operation: 157-73=84, Resulting Numbers: [104, 84]\nGenerated Node #0,6,0: 98:[104, 84] Operation: 157-73=84\nMoving to Node #0,6,0\nCurrent State: 98:[104, 84], Operations: ['56+48=104', '157-73=84']\nExploring Operation: 104-84=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 98:[104, 84], Operations: ['56+48=104', '157-73=84']\nExploring Operation: 104+84=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 98:[73, 157, 104], Operations: ['56+48=104']\nExploring Operation: 157-104=53, Resulting Numbers: [73, 53]\nGenerated Node #0,6,1: 98:[73, 53] Operation: 157-104=53\nMoving to Node #0,6,1\nCurrent State: 98:[73, 53], Operations: ['56+48=104', '157-104=53']\nExploring Operation: 73-53=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 98:[73, 53], Operations: ['56+48=104', '157-104=53']\nExploring Operation: 73+53=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 98:[73, 157, 104], Operations: ['56+48=104']\nExploring Operation: 104-73=31, Resulting Numbers: [157, 31]\nGenerated Node #0,6,2: 98:[157, 31] Operation: 104-73=31\nMoving to Node #0,6,2\nCurrent State: 98:[157, 31], Operations: ['56+48=104', '104-73=31']\nExploring Operation: 157-31=126, Resulting Numbers: [126]\n126,98 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 98:[157, 31], Operations: ['56+48=104', '104-73=31']\nExploring Operation: 157+31=188, Resulting Numbers: [188]\n188,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 73+48=121, Resulting Numbers: [56, 157, 121]\nGenerated Node #0,7: 98:[56, 157, 121] Operation: 73+48=121\nMoving to Node #0,7\nCurrent State: 98:[56, 157, 121], Operations: ['73+48=121']\nExploring Operation: 157-121=36, Resulting Numbers: [56, 36]\nGenerated Node #0,7,0: 98:[56, 36] Operation: 157-121=36\nMoving to Node #0,7,0\nCurrent State: 98:[56, 36], Operations: ['73+48=121', '157-121=36']\nExploring Operation: 56+36=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 98:[56, 36], Operations: ['73+48=121', '157-121=36']\nExploring Operation: 56-36=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 98:[56, 157, 121], Operations: ['73+48=121']\nExploring Operation: 157-56=101, Resulting Numbers: [121, 101]\nGenerated Node #0,7,1: 98:[121, 101] Operation: 157-56=101\nMoving to Node #0,7,1\nCurrent State: 98:[121, 101], Operations: ['73+48=121', '157-56=101']\nExploring Operation: 121-101=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 98:[56, 157, 121], Operations: ['73+48=121']\nExploring Operation: 121-56=65, Resulting Numbers: [157, 65]\nGenerated Node #0,7,2: 98:[157, 65] Operation: 121-56=65\nMoving to Node #0,7,2\nCurrent State: 98:[157, 65], Operations: ['73+48=121', '121-56=65']\nExploring Operation: 157-65=92, Resulting Numbers: [92]\n92,98 unequal: No Solution\nMoving to Node #0\nCurrent State: 98:[56, 73, 48, 157], Operations: []\nExploring Operation: 56+73=129, Resulting Numbers: [48, 157, 129]\nGenerated Node #0,8: 98:[48, 157, 129] Operation: 56+73=129\nMoving to Node #0,8\nCurrent State: 98:[48, 157, 129], Operations: ['56+73=129']\nExploring Operation: 157-129=28, Resulting Numbers: [48, 28]\nGenerated Node #0,8,0: 98:[48, 28] Operation: 157-129=28\nMoving to Node #0,8,0\nCurrent State: 98:[48, 28], Operations: ['56+73=129', '157-129=28']\nExploring Operation: 48-28=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,8,0\nCurrent State: 98:[48, 28], Operations: ['56+73=129', '157-129=28']\nExploring Operation: 48+28=76, Resulting Numbers: [76]\n76,98 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 98:[48, 157, 129], Operations: ['56+73=129']\nExploring Operation: 157-48=109, Resulting Numbers: [129, 109]\nGenerated Node #0,8,1: 98:[129, 109] Operation: 157-48=109\nMoving to Node #0,8,1\nCurrent State: 98:[129, 109], Operations: ['56+73=129', '157-48=109']\nExploring Operation: 129-109=20, Resulting Numbers: [20]\n20,98 unequal: No Solution\nMoving to Node #0,8\nCurrent State: 98:[48, 157, 129], Operations: ['56+73=129']\nExploring Operation: 129-48=81, Resulting Numbers: [157, 81]\nGenerated Node #0,8,2: 98:[157, 81] Operation: 129-48=81\nMoving to Node #0,8,2\nCurrent State: 98:[157, 81], Operations: ['56+73=129', '129-48=81']\nExploring Operation: 157-81=76, Resulting Numbers: [76]\n76,98 unequal: No Solution",
"role": "assistant"
}
] |
[
56,
73,
48,
157
] | 98
|
dfs
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [11, 25, 4, 113] and the target 103, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 103:[11, 25, 4, 113], Operations: []\nExploring Operation: 11+25=36, Resulting Numbers: [4, 113, 36]\nGenerated Node #0,0: 103:[4, 113, 36] Operation: 11+25=36\nExploring Operation: 11*4=44, Resulting Numbers: [25, 113, 44]\nGenerated Node #0,1: 103:[25, 113, 44] Operation: 11*4=44\nExploring Operation: 11+4=15, Resulting Numbers: [25, 113, 15]\nGenerated Node #0,2: 103:[25, 113, 15] Operation: 11+4=15\nExploring Operation: 25+4=29, Resulting Numbers: [11, 113, 29]\nGenerated Node #0,3: 103:[11, 113, 29] Operation: 25+4=29\nExploring Operation: 25*4=100, Resulting Numbers: [11, 113, 100]\nGenerated Node #0,4: 103:[11, 113, 100] Operation: 25*4=100\nMoving to Node #0,4\nCurrent State: 103:[11, 113, 100], Operations: ['25*4=100']\nExploring Operation: 11+100=111, Resulting Numbers: [113, 111]\nGenerated Node #0,4,0: 103:[113, 111] Operation: 11+100=111\nExploring Operation: 113-11=102, Resulting Numbers: [100, 102]\nGenerated Node #0,4,1: 103:[100, 102] Operation: 113-11=102\nExploring Operation: 11+113=124, Resulting Numbers: [100, 124]\nGenerated Node #0,4,2: 103:[100, 124] Operation: 11+113=124\nExploring Operation: 113-100=13, Resulting Numbers: [11, 13]\nGenerated Node #0,4,3: 103:[11, 13] Operation: 113-100=13\nExploring Operation: 100-11=89, Resulting Numbers: [113, 89]\nGenerated Node #0,4,4: 103:[113, 89] Operation: 100-11=89\nMoving to Node #0,1\nCurrent State: 103:[25, 113, 44], Operations: ['11*4=44']\nExploring Operation: 25+44=69, Resulting Numbers: [113, 69]\nGenerated Node #0,1,0: 103:[113, 69] Operation: 25+44=69\nExploring Operation: 25+113=138, Resulting Numbers: [44, 138]\nGenerated Node #0,1,1: 103:[44, 138] Operation: 25+113=138\nExploring Operation: 44-25=19, Resulting Numbers: [113, 19]\nGenerated Node #0,1,2: 103:[113, 19] Operation: 44-25=19\nExploring Operation: 113-44=69, Resulting Numbers: [25, 69]\nGenerated Node #0,1,3: 103:[25, 69] Operation: 113-44=69\nExploring Operation: 113-25=88, Resulting Numbers: [44, 88]\nGenerated Node #0,1,4: 103:[44, 88] Operation: 113-25=88\nMoving to Node #0,0\nCurrent State: 103:[4, 113, 36], Operations: ['11+25=36']\nExploring Operation: 4*36=144, Resulting Numbers: [113, 144]\nGenerated Node #0,0,0: 103:[113, 144] Operation: 4*36=144\nExploring Operation: 113-4=109, Resulting Numbers: [36, 109]\nGenerated Node #0,0,1: 103:[36, 109] Operation: 113-4=109\nExploring Operation: 36-4=32, Resulting Numbers: [113, 32]\nGenerated Node #0,0,2: 103:[113, 32] Operation: 36-4=32\nExploring Operation: 4+113=117, Resulting Numbers: [36, 117]\nGenerated Node #0,0,3: 103:[36, 117] Operation: 4+113=117\nExploring Operation: 4+36=40, Resulting Numbers: [113, 40]\nGenerated Node #0,0,4: 103:[113, 40] Operation: 4+36=40\nMoving to Node #0,2\nCurrent State: 103:[25, 113, 15], Operations: ['11+4=15']\nExploring Operation: 113-15=98, Resulting Numbers: [25, 98]\nGenerated Node #0,2,0: 103:[25, 98] Operation: 113-15=98\nExploring Operation: 113+15=128, Resulting Numbers: [25, 128]\nGenerated Node #0,2,1: 103:[25, 128] Operation: 113+15=128\nExploring Operation: 25-15=10, Resulting Numbers: [113, 10]\nGenerated Node #0,2,2: 103:[113, 10] Operation: 25-15=10\nExploring Operation: 113-25=88, Resulting Numbers: [15, 88]\nGenerated Node #0,2,3: 103:[15, 88] Operation: 113-25=88\nExploring Operation: 25+15=40, Resulting Numbers: [113, 40]\nGenerated Node #0,2,4: 103:[113, 40] Operation: 25+15=40\nMoving to Node #0,3\nCurrent State: 103:[11, 113, 29], Operations: ['25+4=29']\nExploring Operation: 113-11=102, Resulting Numbers: [29, 102]\nGenerated Node #0,3,0: 103:[29, 102] Operation: 113-11=102\nExploring Operation: 29-11=18, Resulting Numbers: [113, 18]\nGenerated Node #0,3,1: 103:[113, 18] Operation: 29-11=18\nExploring Operation: 11+29=40, Resulting Numbers: [113, 40]\nGenerated Node #0,3,2: 103:[113, 40] Operation: 11+29=40\nExploring Operation: 11+113=124, Resulting Numbers: [29, 124]\nGenerated Node #0,3,3: 103:[29, 124] Operation: 11+113=124\nExploring Operation: 113-29=84, Resulting Numbers: [11, 84]\nGenerated Node #0,3,4: 103:[11, 84] Operation: 113-29=84\nMoving to Node #0,4,1\nCurrent State: 103:[100, 102], Operations: ['25*4=100', '113-11=102']\nExploring Operation: 102-100=2, Resulting Numbers: [2]\n2,103 unequal: No Solution\nExploring Operation: 100*102=10200, Resulting Numbers: [10200]\n10200,103 unequal: No Solution\nExploring Operation: 100+102=202, Resulting Numbers: [202]\n202,103 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 103:[113, 111], Operations: ['25*4=100', '11+100=111']\nExploring Operation: 113-111=2, Resulting Numbers: [2]\n2,103 unequal: No Solution\nExploring Operation: 113+111=224, Resulting Numbers: [224]\n224,103 unequal: No Solution\nExploring Operation: 113*111=12543, Resulting Numbers: [12543]\n12543,103 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 103:[100, 124], Operations: ['25*4=100', '11+113=124']\nExploring Operation: 100+124=224, Resulting Numbers: [224]\n224,103 unequal: No Solution\nExploring Operation: 124-100=24, Resulting Numbers: [24]\n24,103 unequal: No Solution\nExploring Operation: 100*124=12400, Resulting Numbers: [12400]\n12400,103 unequal: No Solution\nMoving to Node #0,4,4\nCurrent State: 103:[113, 89], Operations: ['25*4=100', '100-11=89']\nExploring Operation: 113+89=202, Resulting Numbers: [202]\n202,103 unequal: No Solution\nExploring Operation: 113-89=24, Resulting Numbers: [24]\n24,103 unequal: No Solution\nExploring Operation: 113*89=10057, Resulting Numbers: [10057]\n10057,103 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 103:[113, 69], Operations: ['11*4=44', '25+44=69']\nExploring Operation: 113*69=7797, Resulting Numbers: [7797]\n7797,103 unequal: No Solution\nExploring Operation: 113-69=44, Resulting Numbers: [44]\n44,103 unequal: No Solution\nExploring Operation: 113+69=182, Resulting Numbers: [182]\n182,103 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 103:[113, 144], Operations: ['11+25=36', '4*36=144']\nExploring Operation: 113+144=257, Resulting Numbers: [257]\n257,103 unequal: No Solution\nExploring Operation: 144-113=31, Resulting Numbers: [31]\n31,103 unequal: No Solution\nExploring Operation: 113*144=16272, Resulting Numbers: [16272]\n16272,103 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 103:[44], Operations: ['11*4=44', '25+44=69', '113-69=44']\nMoving to Node #0,0,4\nCurrent State: 103:[113, 40], Operations: ['11+25=36', '4+36=40']\nExploring Operation: 113*40=4520, Resulting Numbers: [4520]\n4520,103 unequal: No Solution\nExploring Operation: 113-40=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nExploring Operation: 113+40=153, Resulting Numbers: [153]\n153,103 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 103:[36, 109], Operations: ['11+25=36', '113-4=109']\nExploring Operation: 36*109=3924, Resulting Numbers: [3924]\n3924,103 unequal: No Solution\nExploring Operation: 109-36=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nExploring Operation: 36+109=145, Resulting Numbers: [145]\n145,103 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 103:[113, 40], Operations: ['25+4=29', '11+29=40']\nExploring Operation: 113+40=153, Resulting Numbers: [153]\n153,103 unequal: No Solution\nExploring Operation: 113*40=4520, Resulting Numbers: [4520]\n4520,103 unequal: No Solution\nExploring Operation: 113-40=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nMoving to Node #0,0,4,0\nCurrent State: 103:[73], Operations: ['11+25=36', '4+36=40', '113-40=73']\nMoving to Node #0,0,1,0\nCurrent State: 103:[73], Operations: ['11+25=36', '113-4=109', '109-36=73']\nMoving to Node #0,3,2,0\nCurrent State: 103:[73], Operations: ['25+4=29', '11+29=40', '113-40=73']\nMoving to Node #0,0,1,0\nCurrent State: 103:[145], Operations: ['11+25=36', '113-4=109', '36+109=145']\nMoving to Node #0,3,2,0\nCurrent State: 103:[153], Operations: ['25+4=29', '11+29=40', '113+40=153']\nMoving to Node #0,0,4,0\nCurrent State: 103:[153], Operations: ['11+25=36', '4+36=40', '113+40=153']\nMoving to Node #0,0,0,0\nCurrent State: 103:[31], Operations: ['11+25=36', '4*36=144', '144-113=31']\nMoving to Node #0,2,4\nCurrent State: 103:[113, 40], Operations: ['11+4=15', '25+15=40']\nExploring Operation: 113+40=153, Resulting Numbers: [153]\n153,103 unequal: No Solution\nExploring Operation: 113-40=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nExploring Operation: 113*40=4520, Resulting Numbers: [4520]\n4520,103 unequal: No Solution\nMoving to Node #0,1,4\nCurrent State: 103:[44, 88], Operations: ['11*4=44', '113-25=88']\nExploring Operation: 44+88=132, Resulting Numbers: [132]\n132,103 unequal: No Solution\nExploring Operation: 44*88=3872, Resulting Numbers: [3872]\n3872,103 unequal: No Solution\nExploring Operation: 88/44=2, Resulting Numbers: [2]\n2,103 unequal: No Solution\nExploring Operation: 88-44=44, Resulting Numbers: [44]\n44,103 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 103:[29, 102], Operations: ['25+4=29', '113-11=102']\nExploring Operation: 29*102=2958, Resulting Numbers: [2958]\n2958,103 unequal: No Solution\nExploring Operation: 102-29=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nExploring Operation: 29+102=131, Resulting Numbers: [131]\n131,103 unequal: No Solution\nMoving to Node #0,3,0,0\nCurrent State: 103:[131], Operations: ['25+4=29', '113-11=102', '29+102=131']\nMoving to Node #0,1,4,0\nCurrent State: 103:[132], Operations: ['11*4=44', '113-25=88', '44+88=132']\nMoving to Node #0,2,4,0\nCurrent State: 103:[73], Operations: ['11+4=15', '25+15=40', '113-40=73']\nMoving to Node #0,3,0,0\nCurrent State: 103:[73], Operations: ['25+4=29', '113-11=102', '102-29=73']\nMoving to Node #0,2,4,0\nCurrent State: 103:[153], Operations: ['11+4=15', '25+15=40', '113+40=153']\nMoving to Node #0,1,4,0\nCurrent State: 103:[44], Operations: ['11*4=44', '113-25=88', '88-44=44']\nMoving to Node #0,4,2,0\nCurrent State: 103:[24], Operations: ['25*4=100', '11+113=124', '124-100=24']\nMoving to Node #0,4,4,0\nCurrent State: 103:[24], Operations: ['25*4=100', '100-11=89', '113-89=24']\nMoving to Node #0,1,0,0\nCurrent State: 103:[182], Operations: ['11*4=44', '25+44=69', '113+69=182']\nMoving to Node #0,0,3\nCurrent State: 103:[36, 117], Operations: ['11+25=36', '4+113=117']\nExploring Operation: 36+117=153, Resulting Numbers: [153]\n153,103 unequal: No Solution\nExploring Operation: 36*117=4212, Resulting Numbers: [4212]\n4212,103 unequal: No Solution\nExploring Operation: 117-36=81, Resulting Numbers: [81]\n81,103 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 103:[81], Operations: ['11+25=36', '4+113=117', '117-36=81']\nMoving to Node #0,0,3,0\nCurrent State: 103:[153], Operations: ['11+25=36', '4+113=117', '36+117=153']\nMoving to Node #0,0,2\nCurrent State: 103:[113, 32], Operations: ['11+25=36', '36-4=32']\nExploring Operation: 113-32=81, Resulting Numbers: [81]\n81,103 unequal: No Solution\nExploring Operation: 113*32=3616, Resulting Numbers: [3616]\n3616,103 unequal: No Solution\nExploring Operation: 113+32=145, Resulting Numbers: [145]\n145,103 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 103:[25, 98], Operations: ['11+4=15', '113-15=98']\nExploring Operation: 25+98=123, Resulting Numbers: [123]\n123,103 unequal: No Solution\nExploring Operation: 25*98=2450, Resulting Numbers: [2450]\n2450,103 unequal: No Solution\nExploring Operation: 98-25=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 103:[44, 138], Operations: ['11*4=44', '25+113=138']\nExploring Operation: 138-44=94, Resulting Numbers: [94]\n94,103 unequal: No Solution\nExploring Operation: 44+138=182, Resulting Numbers: [182]\n182,103 unequal: No Solution\nExploring Operation: 44*138=6072, Resulting Numbers: [6072]\n6072,103 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 103:[94], Operations: ['11*4=44', '25+113=138', '138-44=94']\nMoving to Node #0,2,0,0\nCurrent State: 103:[123], Operations: ['11+4=15', '113-15=98', '25+98=123']\nMoving to Node #0,0,2,0\nCurrent State: 103:[81], Operations: ['11+25=36', '36-4=32', '113-32=81']\nMoving to Node #0,2,0,0\nCurrent State: 103:[73], Operations: ['11+4=15', '113-15=98', '98-25=73']\nMoving to Node #0,0,2,0\nCurrent State: 103:[145], Operations: ['11+25=36', '36-4=32', '113+32=145']\nMoving to Node #0,1,1,0\nCurrent State: 103:[182], Operations: ['11*4=44', '25+113=138', '44+138=182']\nMoving to Node #0,1,2\nCurrent State: 103:[113, 19], Operations: ['11*4=44', '44-25=19']\nExploring Operation: 113+19=132, Resulting Numbers: [132]\n132,103 unequal: No Solution\nExploring Operation: 113*19=2147, Resulting Numbers: [2147]\n2147,103 unequal: No Solution\nExploring Operation: 113-19=94, Resulting Numbers: [94]\n94,103 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 103:[29, 124], Operations: ['25+4=29', '11+113=124']\nExploring Operation: 29*124=3596, Resulting Numbers: [3596]\n3596,103 unequal: No Solution\nExploring Operation: 124-29=95, Resulting Numbers: [95]\n95,103 unequal: No Solution\nExploring Operation: 29+124=153, Resulting Numbers: [153]\n153,103 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 103:[113, 18], Operations: ['25+4=29', '29-11=18']\nExploring Operation: 113-18=95, Resulting Numbers: [95]\n95,103 unequal: No Solution\nExploring Operation: 113*18=2034, Resulting Numbers: [2034]\n2034,103 unequal: No Solution\nExploring Operation: 113+18=131, Resulting Numbers: [131]\n131,103 unequal: No Solution\nMoving to Node #0,4,4,0\nCurrent State: 103:[202], Operations: ['25*4=100', '100-11=89', '113+89=202']\nMoving to Node #0,3,3,0\nCurrent State: 103:[95], Operations: ['25+4=29', '11+113=124', '124-29=95']\nMoving to Node #0,3,1,0\nCurrent State: 103:[95], Operations: ['25+4=29', '29-11=18', '113-18=95']\nMoving to Node #0,1,2,0\nCurrent State: 103:[94], Operations: ['11*4=44', '44-25=19', '113-19=94']\nMoving to Node #0,3,1,0\nCurrent State: 103:[131], Operations: ['25+4=29', '29-11=18', '113+18=131']\nMoving to Node #0,1,2,0\nCurrent State: 103:[132], Operations: ['11*4=44', '44-25=19', '113+19=132']\nMoving to Node #0,3,3,0\nCurrent State: 103:[153], Operations: ['25+4=29', '11+113=124', '29+124=153']\nMoving to Node #0,4,1,0\nCurrent State: 103:[202], Operations: ['25*4=100', '113-11=102', '100+102=202']\nMoving to Node #0,4,0,0\nCurrent State: 103:[2], Operations: ['25*4=100', '11+100=111', '113-111=2']\nMoving to Node #0,4,1,0\nCurrent State: 103:[2], Operations: ['25*4=100', '113-11=102', '102-100=2']\nMoving to Node #0,1,4,0\nCurrent State: 103:[2], Operations: ['11*4=44', '113-25=88', '88/44=2']\nMoving to Node #0,2,3\nCurrent State: 103:[15, 88], Operations: ['11+4=15', '113-25=88']\nExploring Operation: 88-15=73, Resulting Numbers: [73]\n73,103 unequal: No Solution\nExploring Operation: 15*88=1320, Resulting Numbers: [1320]\n1320,103 unequal: No Solution\nExploring Operation: 15+88=103, Resulting Numbers: [103]\n103,103 equal: Goal Reached\nFinal operations:\n11+4=15\n113-25=88\n15+88=103",
"role": "assistant"
}
] |
[
11,
25,
4,
113
] | 103
|
bfs_5
|
mult_heuristic
| 0.920139
|
[
{
"content": "Given the numbers [42, 194, 112, 98] and the target 199, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 199:[42, 194, 112, 98], Operations: []\nExploring Operation: 112+98=210, Resulting Numbers: [42, 194, 210]\nGenerated Node #0,0: 199:[42, 194, 210] Operation: 112+98=210\nExploring Operation: 42+98=140, Resulting Numbers: [194, 112, 140]\nGenerated Node #0,1: 199:[194, 112, 140] Operation: 42+98=140\nExploring Operation: 42+112=154, Resulting Numbers: [194, 98, 154]\nGenerated Node #0,2: 199:[194, 98, 154] Operation: 42+112=154\nExploring Operation: 42+194=236, Resulting Numbers: [112, 98, 236]\nGenerated Node #0,3: 199:[112, 98, 236] Operation: 42+194=236\nMoving to Node #0,1\nCurrent State: 199:[194, 112, 140], Operations: ['42+98=140']\nExploring Operation: 194-112=82, Resulting Numbers: [140, 82]\nGenerated Node #0,1,0: 199:[140, 82] Operation: 194-112=82\nExploring Operation: 194+112=306, Resulting Numbers: [140, 306]\nGenerated Node #0,1,1: 199:[140, 306] Operation: 194+112=306\nExploring Operation: 112+140=252, Resulting Numbers: [194, 252]\nGenerated Node #0,1,2: 199:[194, 252] Operation: 112+140=252\nExploring Operation: 140-112=28, Resulting Numbers: [194, 28]\nGenerated Node #0,1,3: 199:[194, 28] Operation: 140-112=28\nMoving to Node #0,2\nCurrent State: 199:[194, 98, 154], Operations: ['42+112=154']\nExploring Operation: 98+154=252, Resulting Numbers: [194, 252]\nGenerated Node #0,2,0: 199:[194, 252] Operation: 98+154=252\nExploring Operation: 194+98=292, Resulting Numbers: [154, 292]\nGenerated Node #0,2,1: 199:[154, 292] Operation: 194+98=292\nExploring Operation: 194-98=96, Resulting Numbers: [154, 96]\nGenerated Node #0,2,2: 199:[154, 96] Operation: 194-98=96\nExploring Operation: 154-98=56, Resulting Numbers: [194, 56]\nGenerated Node #0,2,3: 199:[194, 56] Operation: 154-98=56\nMoving to Node #0,0\nCurrent State: 199:[42, 194, 210], Operations: ['112+98=210']\nExploring Operation: 194-42=152, Resulting Numbers: [210, 152]\nGenerated Node #0,0,0: 199:[210, 152] Operation: 194-42=152\nExploring Operation: 42+210=252, Resulting Numbers: [194, 252]\nGenerated Node #0,0,1: 199:[194, 252] Operation: 42+210=252\nExploring Operation: 42+194=236, Resulting Numbers: [210, 236]\nGenerated Node #0,0,2: 199:[210, 236] Operation: 42+194=236\nExploring Operation: 210-42=168, Resulting Numbers: [194, 168]\nGenerated Node #0,0,3: 199:[194, 168] Operation: 210-42=168\nMoving to Node #0,3\nCurrent State: 199:[112, 98, 236], Operations: ['42+194=236']\nExploring Operation: 112+98=210, Resulting Numbers: [236, 210]\nGenerated Node #0,3,0: 199:[236, 210] Operation: 112+98=210\nExploring Operation: 112-98=14, Resulting Numbers: [236, 14]\nGenerated Node #0,3,1: 199:[236, 14] Operation: 112-98=14\nExploring Operation: 236-112=124, Resulting Numbers: [98, 124]\nGenerated Node #0,3,2: 199:[98, 124] Operation: 236-112=124\nExploring Operation: 236-98=138, Resulting Numbers: [112, 138]\nGenerated Node #0,3,3: 199:[112, 138] Operation: 236-98=138\nMoving to Node #0,0,3\nCurrent State: 199:[194, 168], Operations: ['112+98=210', '210-42=168']\nExploring Operation: 194*168=32592, Resulting Numbers: [32592]\n32592,199 unequal: No Solution\nExploring Operation: 194+168=362, Resulting Numbers: [362]\n362,199 unequal: No Solution\nExploring Operation: 194-168=26, Resulting Numbers: [26]\n26,199 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 199:[236, 210], Operations: ['42+194=236', '112+98=210']\nExploring Operation: 236+210=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 236-210=26, Resulting Numbers: [26]\n26,199 unequal: No Solution\nExploring Operation: 236*210=49560, Resulting Numbers: [49560]\n49560,199 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 199:[210, 236], Operations: ['112+98=210', '42+194=236']\nExploring Operation: 210+236=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 210*236=49560, Resulting Numbers: [49560]\n49560,199 unequal: No Solution\nExploring Operation: 236-210=26, Resulting Numbers: [26]\n26,199 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 199:[194, 252], Operations: ['112+98=210', '42+210=252']\nExploring Operation: 194*252=48888, Resulting Numbers: [48888]\n48888,199 unequal: No Solution\nExploring Operation: 194+252=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 252-194=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 199:[194, 252], Operations: ['42+98=140', '112+140=252']\nExploring Operation: 194*252=48888, Resulting Numbers: [48888]\n48888,199 unequal: No Solution\nExploring Operation: 194+252=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 252-194=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 199:[210, 152], Operations: ['112+98=210', '194-42=152']\nExploring Operation: 210+152=362, Resulting Numbers: [362]\n362,199 unequal: No Solution\nExploring Operation: 210-152=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nExploring Operation: 210*152=31920, Resulting Numbers: [31920]\n31920,199 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 199:[194, 252], Operations: ['42+112=154', '98+154=252']\nExploring Operation: 194+252=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 252-194=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nExploring Operation: 194*252=48888, Resulting Numbers: [48888]\n48888,199 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 199:[154, 292], Operations: ['42+112=154', '194+98=292']\nExploring Operation: 154+292=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 154*292=44968, Resulting Numbers: [44968]\n44968,199 unequal: No Solution\nExploring Operation: 292-154=138, Resulting Numbers: [138]\n138,199 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 199:[138], Operations: ['42+112=154', '194+98=292', '292-154=138']\nMoving to Node #0,0,1,0\nCurrent State: 199:[58], Operations: ['112+98=210', '42+210=252', '252-194=58']\nMoving to Node #0,0,0,0\nCurrent State: 199:[58], Operations: ['112+98=210', '194-42=152', '210-152=58']\nMoving to Node #0,2,0,0\nCurrent State: 199:[58], Operations: ['42+112=154', '98+154=252', '252-194=58']\nMoving to Node #0,1,2,0\nCurrent State: 199:[58], Operations: ['42+98=140', '112+140=252', '252-194=58']\nMoving to Node #0,2,2\nCurrent State: 199:[154, 96], Operations: ['42+112=154', '194-98=96']\nExploring Operation: 154-96=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nExploring Operation: 154*96=14784, Resulting Numbers: [14784]\n14784,199 unequal: No Solution\nExploring Operation: 154+96=250, Resulting Numbers: [250]\n250,199 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 199:[112, 138], Operations: ['42+194=236', '236-98=138']\nExploring Operation: 138-112=26, Resulting Numbers: [26]\n26,199 unequal: No Solution\nExploring Operation: 112*138=15456, Resulting Numbers: [15456]\n15456,199 unequal: No Solution\nExploring Operation: 112+138=250, Resulting Numbers: [250]\n250,199 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 199:[194, 56], Operations: ['42+112=154', '154-98=56']\nExploring Operation: 194*56=10864, Resulting Numbers: [10864]\n10864,199 unequal: No Solution\nExploring Operation: 194+56=250, Resulting Numbers: [250]\n250,199 unequal: No Solution\nExploring Operation: 194-56=138, Resulting Numbers: [138]\n138,199 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 199:[250], Operations: ['42+112=154', '194-98=96', '154+96=250']\nMoving to Node #0,3,3,0\nCurrent State: 199:[250], Operations: ['42+194=236', '236-98=138', '112+138=250']\nMoving to Node #0,2,3,0\nCurrent State: 199:[250], Operations: ['42+112=154', '154-98=56', '194+56=250']\nMoving to Node #0,2,3,0\nCurrent State: 199:[138], Operations: ['42+112=154', '154-98=56', '194-56=138']\nMoving to Node #0,2,2,0\nCurrent State: 199:[58], Operations: ['42+112=154', '194-98=96', '154-96=58']\nMoving to Node #0,0,3,0\nCurrent State: 199:[362], Operations: ['112+98=210', '210-42=168', '194+168=362']\nMoving to Node #0,0,0,0\nCurrent State: 199:[362], Operations: ['112+98=210', '194-42=152', '210+152=362']\nMoving to Node #0,1,1\nCurrent State: 199:[140, 306], Operations: ['42+98=140', '194+112=306']\nExploring Operation: 140+306=446, Resulting Numbers: [446]\n446,199 unequal: No Solution\nExploring Operation: 140*306=42840, Resulting Numbers: [42840]\n42840,199 unequal: No Solution\nExploring Operation: 306-140=166, Resulting Numbers: [166]\n166,199 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 199:[166], Operations: ['42+98=140', '194+112=306', '306-140=166']\nMoving to Node #0,0,3,0\nCurrent State: 199:[26], Operations: ['112+98=210', '210-42=168', '194-168=26']\nMoving to Node #0,3,3,0\nCurrent State: 199:[26], Operations: ['42+194=236', '236-98=138', '138-112=26']\nMoving to Node #0,0,2,0\nCurrent State: 199:[26], Operations: ['112+98=210', '42+194=236', '236-210=26']\nMoving to Node #0,3,0,0\nCurrent State: 199:[26], Operations: ['42+194=236', '112+98=210', '236-210=26']\nMoving to Node #0,1,0\nCurrent State: 199:[140, 82], Operations: ['42+98=140', '194-112=82']\nExploring Operation: 140+82=222, Resulting Numbers: [222]\n222,199 unequal: No Solution\nExploring Operation: 140*82=11480, Resulting Numbers: [11480]\n11480,199 unequal: No Solution\nExploring Operation: 140-82=58, Resulting Numbers: [58]\n58,199 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 199:[194, 28], Operations: ['42+98=140', '140-112=28']\nExploring Operation: 194+28=222, Resulting Numbers: [222]\n222,199 unequal: No Solution\nExploring Operation: 194-28=166, Resulting Numbers: [166]\n166,199 unequal: No Solution\nExploring Operation: 194*28=5432, Resulting Numbers: [5432]\n5432,199 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 199:[98, 124], Operations: ['42+194=236', '236-112=124']\nExploring Operation: 98*124=12152, Resulting Numbers: [12152]\n12152,199 unequal: No Solution\nExploring Operation: 98+124=222, Resulting Numbers: [222]\n222,199 unequal: No Solution\nExploring Operation: 124-98=26, Resulting Numbers: [26]\n26,199 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 199:[222], Operations: ['42+98=140', '194-112=82', '140+82=222']\nMoving to Node #0,1,3,0\nCurrent State: 199:[222], Operations: ['42+98=140', '140-112=28', '194+28=222']\nMoving to Node #0,3,2,0\nCurrent State: 199:[222], Operations: ['42+194=236', '236-112=124', '98+124=222']\nMoving to Node #0,1,3,0\nCurrent State: 199:[166], Operations: ['42+98=140', '140-112=28', '194-28=166']\nMoving to Node #0,1,0,0\nCurrent State: 199:[58], Operations: ['42+98=140', '194-112=82', '140-82=58']\nMoving to Node #0,3,2,0\nCurrent State: 199:[26], Operations: ['42+194=236', '236-112=124', '124-98=26']\nMoving to Node #0,3,1\nCurrent State: 199:[236, 14], Operations: ['42+194=236', '112-98=14']\nExploring Operation: 236+14=250, Resulting Numbers: [250]\n250,199 unequal: No Solution\nExploring Operation: 236-14=222, Resulting Numbers: [222]\n222,199 unequal: No Solution\nExploring Operation: 236*14=3304, Resulting Numbers: [3304]\n3304,199 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 199:[446], Operations: ['112+98=210', '42+210=252', '194+252=446']\nMoving to Node #0,3,1,0\nCurrent State: 199:[222], Operations: ['42+194=236', '112-98=14', '236-14=222']\nMoving to Node #0,3,1,0\nCurrent State: 199:[250], Operations: ['42+194=236', '112-98=14', '236+14=250']\nMoving to Node #0,1,1,0\nCurrent State: 199:[446], Operations: ['42+98=140', '194+112=306', '140+306=446']\nMoving to Node #0,2,1,0\nCurrent State: 199:[446], Operations: ['42+112=154', '194+98=292', '154+292=446']\nMoving to Node #0,1,2,0\nCurrent State: 199:[446], Operations: ['42+98=140', '112+140=252', '194+252=446']\nMoving to Node #0,0,2,0\nCurrent State: 199:[446], Operations: ['112+98=210', '42+194=236', '210+236=446']\nMoving to Node #0,3,0,0\nCurrent State: 199:[446], Operations: ['42+194=236', '112+98=210', '236+210=446']\nMoving to Node #0,2,0,0\nCurrent State: 199:[446], Operations: ['42+112=154', '98+154=252', '194+252=446']\nMoving to Node #0,3,1,0\nCurrent State: 199:[3304], Operations: ['42+194=236', '112-98=14', '236*14=3304']\nMoving to Node #0,1,3,0\nCurrent State: 199:[5432], Operations: ['42+98=140', '140-112=28', '194*28=5432']\nMoving to Node #0,2,3,0\nCurrent State: 199:[10864], Operations: ['42+112=154', '154-98=56', '194*56=10864']\nMoving to Node #0,1,0,0\nCurrent State: 199:[11480], Operations: ['42+98=140', '194-112=82', '140*82=11480']\nMoving to Node #0,3,2,0\nCurrent State: 199:[12152], Operations: ['42+194=236', '236-112=124', '98*124=12152']\nMoving to Node #0,2,2,0\nCurrent State: 199:[14784], Operations: ['42+112=154', '194-98=96', '154*96=14784']\nMoving to Node #0,3,3,0\nCurrent State: 199:[15456], Operations: ['42+194=236', '236-98=138', '112*138=15456']\nMoving to Node #0,0,0,0\nCurrent State: 199:[31920], Operations: ['112+98=210', '194-42=152', '210*152=31920']\nMoving to Node #0,0,3,0\nCurrent State: 199:[32592], Operations: ['112+98=210', '210-42=168', '194*168=32592']\nMoving to Node #0,1,1,0\nCurrent State: 199:[42840], Operations: ['42+98=140', '194+112=306', '140*306=42840']\nMoving to Node #0,2,1,0\nCurrent State: 199:[44968], Operations: ['42+112=154', '194+98=292', '154*292=44968']\nMoving to Node #0,1,2,0\nCurrent State: 199:[48888], Operations: ['42+98=140', '112+140=252', '194*252=48888']\nMoving to Node #0,2,0,0\nCurrent State: 199:[48888], Operations: ['42+112=154', '98+154=252', '194*252=48888']\nMoving to Node #0,0,1,0\nCurrent State: 199:[48888], Operations: ['112+98=210', '42+210=252', '194*252=48888']\nMoving to Node #0,0,2,0\nCurrent State: 199:[49560], Operations: ['112+98=210', '42+194=236', '210*236=49560']\nMoving to Node #0,3,0,0\nCurrent State: 199:[49560], Operations: ['42+194=236', '112+98=210', '236*210=49560']",
"role": "assistant"
}
] |
[
42,
194,
112,
98
] | 199
|
bfs_4
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [16, 37, 117, 109] and the target 26, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 26:[16, 37, 117, 109], Operations: []\nExploring Operation: 117-109=8, Resulting Numbers: [16, 37, 8]\nGenerated Node #0,0: 26:[16, 37, 8] Operation: 117-109=8\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 37-8=29, Resulting Numbers: [16, 29]\nGenerated Node #0,0,0: 26:[16, 29] Operation: 37-8=29\nMoving to Node #0,0,0\nCurrent State: 26:[16, 29], Operations: ['117-109=8', '37-8=29']\nExploring Operation: 29-16=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 26:[16, 29], Operations: ['117-109=8', '37-8=29']\nExploring Operation: 16+29=45, Resulting Numbers: [45]\n45,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 37-16=21, Resulting Numbers: [8, 21]\nGenerated Node #0,0,1: 26:[8, 21] Operation: 37-16=21\nMoving to Node #0,0,1\nCurrent State: 26:[8, 21], Operations: ['117-109=8', '37-16=21']\nExploring Operation: 21-8=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 26:[8, 21], Operations: ['117-109=8', '37-16=21']\nExploring Operation: 8+21=29, Resulting Numbers: [29]\n29,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 16/8=2, Resulting Numbers: [37, 2]\nGenerated Node #0,0,2: 26:[37, 2] Operation: 16/8=2\nMoving to Node #0,0,2\nCurrent State: 26:[37, 2], Operations: ['117-109=8', '16/8=2']\nExploring Operation: 37-2=35, Resulting Numbers: [35]\n35,26 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 26:[37, 2], Operations: ['117-109=8', '16/8=2']\nExploring Operation: 37+2=39, Resulting Numbers: [39]\n39,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 16+8=24, Resulting Numbers: [37, 24]\nGenerated Node #0,0,3: 26:[37, 24] Operation: 16+8=24\nMoving to Node #0,0,3\nCurrent State: 26:[37, 24], Operations: ['117-109=8', '16+8=24']\nExploring Operation: 37-24=13, Resulting Numbers: [13]\n13,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 16-8=8, Resulting Numbers: [37, 8]\nGenerated Node #0,0,4: 26:[37, 8] Operation: 16-8=8\nMoving to Node #0,0,4\nCurrent State: 26:[37, 8], Operations: ['117-109=8', '16-8=8']\nExploring Operation: 37-8=29, Resulting Numbers: [29]\n29,26 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 26:[37, 8], Operations: ['117-109=8', '16-8=8']\nExploring Operation: 37+8=45, Resulting Numbers: [45]\n45,26 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 26:[16, 37, 8], Operations: ['117-109=8']\nExploring Operation: 37+8=45, Resulting Numbers: [16, 45]\nGenerated Node #0,0,5: 26:[16, 45] Operation: 37+8=45\nMoving to Node #0,0,5\nCurrent State: 26:[16, 45], Operations: ['117-109=8', '37+8=45']\nExploring Operation: 45-16=29, Resulting Numbers: [29]\n29,26 unequal: No Solution",
"role": "assistant"
}
] |
[
16,
37,
117,
109
] | 26
|
dfs
|
mult_heuristic
| 0
|
[
{
"content": "Given the numbers [92, 163, 157, 46] and the target 182, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 182:[92, 163, 157, 46], Operations: []\nExploring Operation: 92+46=138, Resulting Numbers: [163, 157, 138]\nGenerated Node #0,0: 182:[163, 157, 138] Operation: 92+46=138\nExploring Operation: 157+46=203, Resulting Numbers: [92, 163, 203]\nGenerated Node #0,1: 182:[92, 163, 203] Operation: 157+46=203\nExploring Operation: 163+46=209, Resulting Numbers: [92, 157, 209]\nGenerated Node #0,2: 182:[92, 157, 209] Operation: 163+46=209\nMoving to Node #0,0\nCurrent State: 182:[163, 157, 138], Operations: ['92+46=138']\nExploring Operation: 157+138=295, Resulting Numbers: [163, 295]\nGenerated Node #0,0,0: 182:[163, 295] Operation: 157+138=295\nExploring Operation: 163+157=320, Resulting Numbers: [138, 320]\nGenerated Node #0,0,1: 182:[138, 320] Operation: 163+157=320\nExploring Operation: 163+138=301, Resulting Numbers: [157, 301]\nGenerated Node #0,0,2: 182:[157, 301] Operation: 163+138=301\nMoving to Node #0,1\nCurrent State: 182:[92, 163, 203], Operations: ['157+46=203']\nExploring Operation: 92+163=255, Resulting Numbers: [203, 255]\nGenerated Node #0,1,0: 182:[203, 255] Operation: 92+163=255\nExploring Operation: 163-92=71, Resulting Numbers: [203, 71]\nGenerated Node #0,1,1: 182:[203, 71] Operation: 163-92=71\nExploring Operation: 203-92=111, Resulting Numbers: [163, 111]\nGenerated Node #0,1,2: 182:[163, 111] Operation: 203-92=111\nMoving to Node #0,2\nCurrent State: 182:[92, 157, 209], Operations: ['163+46=209']\nExploring Operation: 92+157=249, Resulting Numbers: [209, 249]\nGenerated Node #0,2,0: 182:[209, 249] Operation: 92+157=249\nExploring Operation: 157-92=65, Resulting Numbers: [209, 65]\nGenerated Node #0,2,1: 182:[209, 65] Operation: 157-92=65\nExploring Operation: 209-92=117, Resulting Numbers: [157, 117]\nGenerated Node #0,2,2: 182:[157, 117] Operation: 209-92=117\nMoving to Node #0,1,2\nCurrent State: 182:[163, 111], Operations: ['157+46=203', '203-92=111']\nExploring Operation: 163+111=274, Resulting Numbers: [274]\n274,182 unequal: No Solution\nExploring Operation: 163*111=18093, Resulting Numbers: [18093]\n18093,182 unequal: No Solution\nExploring Operation: 163-111=52, Resulting Numbers: [52]\n52,182 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 182:[157, 117], Operations: ['163+46=209', '209-92=117']\nExploring Operation: 157*117=18369, Resulting Numbers: [18369]\n18369,182 unequal: No Solution\nExploring Operation: 157+117=274, Resulting Numbers: [274]\n274,182 unequal: No Solution\nExploring Operation: 157-117=40, Resulting Numbers: [40]\n40,182 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 182:[203, 255], Operations: ['157+46=203', '92+163=255']\nExploring Operation: 255-203=52, Resulting Numbers: [52]\n52,182 unequal: No Solution\nExploring Operation: 203+255=458, Resulting Numbers: [458]\n458,182 unequal: No Solution\nExploring Operation: 203*255=51765, Resulting Numbers: [51765]\n51765,182 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 182:[209, 249], Operations: ['163+46=209', '92+157=249']\nExploring Operation: 249-209=40, Resulting Numbers: [40]\n40,182 unequal: No Solution\nExploring Operation: 209*249=52041, Resulting Numbers: [52041]\n52041,182 unequal: No Solution\nExploring Operation: 209+249=458, Resulting Numbers: [458]\n458,182 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 182:[203, 71], Operations: ['157+46=203', '163-92=71']\nExploring Operation: 203*71=14413, Resulting Numbers: [14413]\n14413,182 unequal: No Solution\nExploring Operation: 203-71=132, Resulting Numbers: [132]\n132,182 unequal: No Solution\nExploring Operation: 203+71=274, Resulting Numbers: [274]\n274,182 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 182:[163, 295], Operations: ['92+46=138', '157+138=295']\nExploring Operation: 163+295=458, Resulting Numbers: [458]\n458,182 unequal: No Solution\nExploring Operation: 295-163=132, Resulting Numbers: [132]\n132,182 unequal: No Solution\nExploring Operation: 163*295=48085, Resulting Numbers: [48085]\n48085,182 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 182:[132], Operations: ['157+46=203', '163-92=71', '203-71=132']\nMoving to Node #0,0,0,0\nCurrent State: 182:[132], Operations: ['92+46=138', '157+138=295', '295-163=132']\nMoving to Node #0,2,1\nCurrent State: 182:[209, 65], Operations: ['163+46=209', '157-92=65']\nExploring Operation: 209+65=274, Resulting Numbers: [274]\n274,182 unequal: No Solution\nExploring Operation: 209-65=144, Resulting Numbers: [144]\n144,182 unequal: No Solution\nExploring Operation: 209*65=13585, Resulting Numbers: [13585]\n13585,182 unequal: No Solution\nMoving to Node #0,2,1,0\nCurrent State: 182:[144], Operations: ['163+46=209', '157-92=65', '209-65=144']\nMoving to Node #0,0,2\nCurrent State: 182:[157, 301], Operations: ['92+46=138', '163+138=301']\nExploring Operation: 301-157=144, Resulting Numbers: [144]\n144,182 unequal: No Solution\nExploring Operation: 157+301=458, Resulting Numbers: [458]\n458,182 unequal: No Solution\nExploring Operation: 157*301=47257, Resulting Numbers: [47257]\n47257,182 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 182:[138, 320], Operations: ['92+46=138', '163+157=320']\nExploring Operation: 138+320=458, Resulting Numbers: [458]\n458,182 unequal: No Solution\nExploring Operation: 138*320=44160, Resulting Numbers: [44160]\n44160,182 unequal: No Solution\nExploring Operation: 320-138=182, Resulting Numbers: [182]\n182,182 equal: Goal Reached\nFinal operations:\n92+46=138\n163+157=320\n320-138=182",
"role": "assistant"
}
] |
[
92,
163,
157,
46
] | 182
|
bfs_3
|
sum_heuristic
| 0.965278
|
[
{
"content": "Given the numbers [88, 144, 64, 99] and the target 98, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 98:[88, 144, 64, 99], Operations: []\nExploring Operation: 144-64=80, Resulting Numbers: [88, 99, 80]\nGenerated Node #0,0: 98:[88, 99, 80] Operation: 144-64=80\nExploring Operation: 144-88=56, Resulting Numbers: [64, 99, 56]\nGenerated Node #0,1: 98:[64, 99, 56] Operation: 144-88=56\nMoving to Node #0,0\nCurrent State: 98:[88, 99, 80], Operations: ['144-64=80']\nExploring Operation: 88+80=168, Resulting Numbers: [99, 168]\nGenerated Node #0,0,0: 98:[99, 168] Operation: 88+80=168\nExploring Operation: 99-80=19, Resulting Numbers: [88, 19]\nGenerated Node #0,0,1: 98:[88, 19] Operation: 99-80=19\nMoving to Node #0,1\nCurrent State: 98:[64, 99, 56], Operations: ['144-88=56']\nExploring Operation: 64+56=120, Resulting Numbers: [99, 120]\nGenerated Node #0,1,0: 98:[99, 120] Operation: 64+56=120\nExploring Operation: 99-56=43, Resulting Numbers: [64, 43]\nGenerated Node #0,1,1: 98:[64, 43] Operation: 99-56=43\nMoving to Node #0,1,0\nCurrent State: 98:[99, 120], Operations: ['144-88=56', '64+56=120']\nExploring Operation: 99+120=219, Resulting Numbers: [219]\n219,98 unequal: No Solution\nExploring Operation: 120-99=21, Resulting Numbers: [21]\n21,98 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 98:[99, 168], Operations: ['144-64=80', '88+80=168']\nExploring Operation: 99+168=267, Resulting Numbers: [267]\n267,98 unequal: No Solution\nExploring Operation: 168-99=69, Resulting Numbers: [69]\n69,98 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 98:[69], Operations: ['144-64=80', '88+80=168', '168-99=69']\nMoving to Node #0,0,1\nCurrent State: 98:[88, 19], Operations: ['144-64=80', '99-80=19']\nExploring Operation: 88-19=69, Resulting Numbers: [69]\n69,98 unequal: No Solution\nExploring Operation: 88+19=107, Resulting Numbers: [107]\n107,98 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 98:[107], Operations: ['144-64=80', '99-80=19', '88+19=107']\nMoving to Node #0,0,1,0\nCurrent State: 98:[69], Operations: ['144-64=80', '99-80=19', '88-19=69']\nMoving to Node #0,1,1\nCurrent State: 98:[64, 43], Operations: ['144-88=56', '99-56=43']\nExploring Operation: 64+43=107, Resulting Numbers: [107]\n107,98 unequal: No Solution\nExploring Operation: 64-43=21, Resulting Numbers: [21]\n21,98 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 98:[21], Operations: ['144-88=56', '64+56=120', '120-99=21']\nMoving to Node #0,1,1,0\nCurrent State: 98:[107], Operations: ['144-88=56', '99-56=43', '64+43=107']\nMoving to Node #0,1,1,0\nCurrent State: 98:[21], Operations: ['144-88=56', '99-56=43', '64-43=21']\nMoving to Node #0,1,0,0\nCurrent State: 98:[219], Operations: ['144-88=56', '64+56=120', '99+120=219']\nMoving to Node #0,0,0,0\nCurrent State: 98:[267], Operations: ['144-64=80', '88+80=168', '99+168=267']",
"role": "assistant"
}
] |
[
88,
144,
64,
99
] | 98
|
bfs_2
|
sum_heuristic
| 0
|
[
{
"content": "Given the numbers [56, 22, 102, 124] and the target 127, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 127:[56, 22, 102, 124], Operations: []\nExploring Operation: 56+22=78, Resulting Numbers: [102, 124, 78]\nGenerated Node #0,0: 127:[102, 124, 78] Operation: 56+22=78\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 102+78=180, Resulting Numbers: [124, 180]\nGenerated Node #0,0,0: 127:[124, 180] Operation: 102+78=180\nMoving to Node #0,0,0\nCurrent State: 127:[124, 180], Operations: ['56+22=78', '102+78=180']\nExploring Operation: 180-124=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 124+78=202, Resulting Numbers: [102, 202]\nGenerated Node #0,0,1: 127:[102, 202] Operation: 124+78=202\nMoving to Node #0,0,1\nCurrent State: 127:[102, 202], Operations: ['56+22=78', '124+78=202']\nExploring Operation: 202-102=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 102-78=24, Resulting Numbers: [124, 24]\nGenerated Node #0,0,2: 127:[124, 24] Operation: 102-78=24\nMoving to Node #0,0,2\nCurrent State: 127:[124, 24], Operations: ['56+22=78', '102-78=24']\nExploring Operation: 124+24=148, Resulting Numbers: [148]\n148,127 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 127:[124, 24], Operations: ['56+22=78', '102-78=24']\nExploring Operation: 124-24=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 124-78=46, Resulting Numbers: [102, 46]\nGenerated Node #0,0,3: 127:[102, 46] Operation: 124-78=46\nMoving to Node #0,0,3\nCurrent State: 127:[102, 46], Operations: ['56+22=78', '124-78=46']\nExploring Operation: 102+46=148, Resulting Numbers: [148]\n148,127 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 127:[102, 46], Operations: ['56+22=78', '124-78=46']\nExploring Operation: 102-46=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 102+124=226, Resulting Numbers: [78, 226]\nGenerated Node #0,0,4: 127:[78, 226] Operation: 102+124=226\nMoving to Node #0,0,4\nCurrent State: 127:[78, 226], Operations: ['56+22=78', '102+124=226']\nExploring Operation: 226-78=148, Resulting Numbers: [148]\n148,127 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 127:[102, 124, 78], Operations: ['56+22=78']\nExploring Operation: 124-102=22, Resulting Numbers: [78, 22]\nGenerated Node #0,0,5: 127:[78, 22] Operation: 124-102=22\nMoving to Node #0,0,5\nCurrent State: 127:[78, 22], Operations: ['56+22=78', '124-102=22']\nExploring Operation: 78+22=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 127:[78, 22], Operations: ['56+22=78', '124-102=22']\nExploring Operation: 78-22=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0\nCurrent State: 127:[56, 22, 102, 124], Operations: []\nExploring Operation: 22+102=124, Resulting Numbers: [56, 124, 124]\nGenerated Node #0,1: 127:[56, 124, 124] Operation: 22+102=124\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 56+124=180, Resulting Numbers: [124, 180]\nGenerated Node #0,1,0: 127:[124, 180] Operation: 56+124=180\nMoving to Node #0,1,0\nCurrent State: 127:[124, 180], Operations: ['22+102=124', '56+124=180']\nExploring Operation: 180-124=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 56+124=180, Resulting Numbers: [124, 180]\nGenerated Node #0,1,1: 127:[124, 180] Operation: 56+124=180\nMoving to Node #0,1,1\nCurrent State: 127:[124, 180], Operations: ['22+102=124', '56+124=180']\nExploring Operation: 180-124=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 124-56=68, Resulting Numbers: [124, 68]\nGenerated Node #0,1,2: 127:[124, 68] Operation: 124-56=68\nMoving to Node #0,1,2\nCurrent State: 127:[124, 68], Operations: ['22+102=124', '124-56=68']\nExploring Operation: 124+68=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 127:[124, 68], Operations: ['22+102=124', '124-56=68']\nExploring Operation: 124-68=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 124-56=68, Resulting Numbers: [124, 68]\nGenerated Node #0,1,3: 127:[124, 68] Operation: 124-56=68\nMoving to Node #0,1,3\nCurrent State: 127:[124, 68], Operations: ['22+102=124', '124-56=68']\nExploring Operation: 124+68=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 127:[124, 68], Operations: ['22+102=124', '124-56=68']\nExploring Operation: 124-68=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 124+124=248, Resulting Numbers: [56, 248]\nGenerated Node #0,1,4: 127:[56, 248] Operation: 124+124=248\nMoving to Node #0,1,4\nCurrent State: 127:[56, 248], Operations: ['22+102=124', '124+124=248']\nExploring Operation: 248-56=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 124/124=1, Resulting Numbers: [56, 1]\nGenerated Node #0,1,5: 127:[56, 1] Operation: 124/124=1\nMoving to Node #0,1,5\nCurrent State: 127:[56, 1], Operations: ['22+102=124', '124/124=1']\nExploring Operation: 56+1=57, Resulting Numbers: [57]\n57,127 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 127:[56, 1], Operations: ['22+102=124', '124/124=1']\nExploring Operation: 56*1=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 127:[56, 1], Operations: ['22+102=124', '124/124=1']\nExploring Operation: 56/1=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1,5\nCurrent State: 127:[56, 1], Operations: ['22+102=124', '124/124=1']\nExploring Operation: 56-1=55, Resulting Numbers: [55]\n55,127 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 127:[56, 124, 124], Operations: ['22+102=124']\nExploring Operation: 124-124=0, Resulting Numbers: [56, 0]\nGenerated Node #0,1,6: 127:[56, 0] Operation: 124-124=0\nMoving to Node #0,1,6\nCurrent State: 127:[56, 0], Operations: ['22+102=124', '124-124=0']\nExploring Operation: 56+0=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 127:[56, 0], Operations: ['22+102=124', '124-124=0']\nExploring Operation: 56-0=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,1,6\nCurrent State: 127:[56, 0], Operations: ['22+102=124', '124-124=0']\nExploring Operation: 56*0=0, Resulting Numbers: [0]\n0,127 unequal: No Solution\nMoving to Node #0\nCurrent State: 127:[56, 22, 102, 124], Operations: []\nExploring Operation: 22+124=146, Resulting Numbers: [56, 102, 146]\nGenerated Node #0,2: 127:[56, 102, 146] Operation: 22+124=146\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 56+102=158, Resulting Numbers: [146, 158]\nGenerated Node #0,2,0: 127:[146, 158] Operation: 56+102=158\nMoving to Node #0,2,0\nCurrent State: 127:[146, 158], Operations: ['22+124=146', '56+102=158']\nExploring Operation: 158-146=12, Resulting Numbers: [12]\n12,127 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 146-56=90, Resulting Numbers: [102, 90]\nGenerated Node #0,2,1: 127:[102, 90] Operation: 146-56=90\nMoving to Node #0,2,1\nCurrent State: 127:[102, 90], Operations: ['22+124=146', '146-56=90']\nExploring Operation: 102+90=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 127:[102, 90], Operations: ['22+124=146', '146-56=90']\nExploring Operation: 102-90=12, Resulting Numbers: [12]\n12,127 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 102-56=46, Resulting Numbers: [146, 46]\nGenerated Node #0,2,2: 127:[146, 46] Operation: 102-56=46\nMoving to Node #0,2,2\nCurrent State: 127:[146, 46], Operations: ['22+124=146', '102-56=46']\nExploring Operation: 146-46=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 127:[146, 46], Operations: ['22+124=146', '102-56=46']\nExploring Operation: 146+46=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 56+146=202, Resulting Numbers: [102, 202]\nGenerated Node #0,2,3: 127:[102, 202] Operation: 56+146=202\nMoving to Node #0,2,3\nCurrent State: 127:[102, 202], Operations: ['22+124=146', '56+146=202']\nExploring Operation: 202-102=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 146-102=44, Resulting Numbers: [56, 44]\nGenerated Node #0,2,4: 127:[56, 44] Operation: 146-102=44\nMoving to Node #0,2,4\nCurrent State: 127:[56, 44], Operations: ['22+124=146', '146-102=44']\nExploring Operation: 56+44=100, Resulting Numbers: [100]\n100,127 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 127:[56, 44], Operations: ['22+124=146', '146-102=44']\nExploring Operation: 56-44=12, Resulting Numbers: [12]\n12,127 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 127:[56, 102, 146], Operations: ['22+124=146']\nExploring Operation: 102+146=248, Resulting Numbers: [56, 248]\nGenerated Node #0,2,5: 127:[56, 248] Operation: 102+146=248\nMoving to Node #0,2,5\nCurrent State: 127:[56, 248], Operations: ['22+124=146', '102+146=248']\nExploring Operation: 248-56=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0\nCurrent State: 127:[56, 22, 102, 124], Operations: []\nExploring Operation: 56-22=34, Resulting Numbers: [102, 124, 34]\nGenerated Node #0,3: 127:[102, 124, 34] Operation: 56-22=34\nMoving to Node #0,3\nCurrent State: 127:[102, 124, 34], Operations: ['56-22=34']\nExploring Operation: 102+34=136, Resulting Numbers: [124, 136]\nGenerated Node #0,3,0: 127:[124, 136] Operation: 102+34=136\nMoving to Node #0,3,0\nCurrent State: 127:[124, 136], Operations: ['56-22=34', '102+34=136']\nExploring Operation: 136-124=12, Resulting Numbers: [12]\n12,127 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 127:[102, 124, 34], Operations: ['56-22=34']\nExploring Operation: 124+34=158, Resulting Numbers: [102, 158]\nGenerated Node #0,3,1: 127:[102, 158] Operation: 124+34=158\nMoving to Node #0,3,1\nCurrent State: 127:[102, 158], Operations: ['56-22=34', '124+34=158']\nExploring Operation: 158-102=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 127:[102, 124, 34], Operations: ['56-22=34']\nExploring Operation: 102-34=68, Resulting Numbers: [124, 68]\nGenerated Node #0,3,2: 127:[124, 68] Operation: 102-34=68\nMoving to Node #0,3,2\nCurrent State: 127:[124, 68], Operations: ['56-22=34', '102-34=68']\nExploring Operation: 124+68=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 127:[124, 68], Operations: ['56-22=34', '102-34=68']\nExploring Operation: 124-68=56, Resulting Numbers: [56]\n56,127 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 127:[102, 124, 34], Operations: ['56-22=34']\nExploring Operation: 124-34=90, Resulting Numbers: [102, 90]\nGenerated Node #0,3,3: 127:[102, 90] Operation: 124-34=90\nMoving to Node #0,3,3\nCurrent State: 127:[102, 90], Operations: ['56-22=34', '124-34=90']\nExploring Operation: 102+90=192, Resulting Numbers: [192]\n192,127 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 127:[102, 90], Operations: ['56-22=34', '124-34=90']\nExploring Operation: 102-90=12, Resulting Numbers: [12]\n12,127 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 127:[102, 124, 34], Operations: ['56-22=34']\nExploring Operation: 102/34=3, Resulting Numbers: [124, 3]\nGenerated Node #0,3,4: 127:[124, 3] Operation: 102/34=3\nMoving to Node #0,3,4\nCurrent State: 127:[124, 3], Operations: ['56-22=34', '102/34=3']\nExploring Operation: 124+3=127, Resulting Numbers: [127]\n127,127 equal: Goal Reached\nFinal operations:\n56-22=34\n102/34=3\n124+3=127",
"role": "assistant"
}
] |
[
56,
22,
102,
124
] | 127
|
dfs
|
sum_heuristic
| 0.940972
|
[
{
"content": "Given the numbers [16, 26, 17, 195] and the target 103, find the operations to reach the target.",
"role": "user"
},
{
"content": "Current State: 103:[16, 26, 17, 195], Operations: []\nExploring Operation: 195-16=179, Resulting Numbers: [26, 17, 179]\nGenerated Node #0,0: 103:[26, 17, 179] Operation: 195-16=179\nExploring Operation: 16+26=42, Resulting Numbers: [17, 195, 42]\nGenerated Node #0,1: 103:[17, 195, 42] Operation: 16+26=42\nExploring Operation: 16+17=33, Resulting Numbers: [26, 195, 33]\nGenerated Node #0,2: 103:[26, 195, 33] Operation: 16+17=33\nExploring Operation: 26+17=43, Resulting Numbers: [16, 195, 43]\nGenerated Node #0,3: 103:[16, 195, 43] Operation: 26+17=43\nMoving to Node #0,0\nCurrent State: 103:[26, 17, 179], Operations: ['195-16=179']\nExploring Operation: 179-17=162, Resulting Numbers: [26, 162]\nGenerated Node #0,0,0: 103:[26, 162] Operation: 179-17=162\nExploring Operation: 26-17=9, Resulting Numbers: [179, 9]\nGenerated Node #0,0,1: 103:[179, 9] Operation: 26-17=9\nExploring Operation: 26+17=43, Resulting Numbers: [179, 43]\nGenerated Node #0,0,2: 103:[179, 43] Operation: 26+17=43\nExploring Operation: 179-26=153, Resulting Numbers: [17, 153]\nGenerated Node #0,0,3: 103:[17, 153] Operation: 179-26=153\nMoving to Node #0,2\nCurrent State: 103:[26, 195, 33], Operations: ['16+17=33']\nExploring Operation: 195-26=169, Resulting Numbers: [33, 169]\nGenerated Node #0,2,0: 103:[33, 169] Operation: 195-26=169\nExploring Operation: 26+33=59, Resulting Numbers: [195, 59]\nGenerated Node #0,2,1: 103:[195, 59] Operation: 26+33=59\nExploring Operation: 26+195=221, Resulting Numbers: [33, 221]\nGenerated Node #0,2,2: 103:[33, 221] Operation: 26+195=221\nExploring Operation: 195-33=162, Resulting Numbers: [26, 162]\nGenerated Node #0,2,3: 103:[26, 162] Operation: 195-33=162\nMoving to Node #0,1\nCurrent State: 103:[17, 195, 42], Operations: ['16+26=42']\nExploring Operation: 195-17=178, Resulting Numbers: [42, 178]\nGenerated Node #0,1,0: 103:[42, 178] Operation: 195-17=178\nExploring Operation: 195-42=153, Resulting Numbers: [17, 153]\nGenerated Node #0,1,1: 103:[17, 153] Operation: 195-42=153\nExploring Operation: 17+42=59, Resulting Numbers: [195, 59]\nGenerated Node #0,1,2: 103:[195, 59] Operation: 17+42=59\nExploring Operation: 17+195=212, Resulting Numbers: [42, 212]\nGenerated Node #0,1,3: 103:[42, 212] Operation: 17+195=212\nMoving to Node #0,3\nCurrent State: 103:[16, 195, 43], Operations: ['26+17=43']\nExploring Operation: 16+43=59, Resulting Numbers: [195, 59]\nGenerated Node #0,3,0: 103:[195, 59] Operation: 16+43=59\nExploring Operation: 195-43=152, Resulting Numbers: [16, 152]\nGenerated Node #0,3,1: 103:[16, 152] Operation: 195-43=152\nExploring Operation: 16+195=211, Resulting Numbers: [43, 211]\nGenerated Node #0,3,2: 103:[43, 211] Operation: 16+195=211\nExploring Operation: 195-16=179, Resulting Numbers: [43, 179]\nGenerated Node #0,3,3: 103:[43, 179] Operation: 195-16=179\nMoving to Node #0,0,0\nCurrent State: 103:[26, 162], Operations: ['195-16=179', '179-17=162']\nExploring Operation: 26*162=4212, Resulting Numbers: [4212]\n4212,103 unequal: No Solution\nExploring Operation: 162-26=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 26+162=188, Resulting Numbers: [188]\n188,103 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 103:[17, 153], Operations: ['195-16=179', '179-26=153']\nExploring Operation: 153-17=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 17*153=2601, Resulting Numbers: [2601]\n2601,103 unequal: No Solution\nExploring Operation: 17+153=170, Resulting Numbers: [170]\n170,103 unequal: No Solution\nExploring Operation: 153/17=9, Resulting Numbers: [9]\n9,103 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 103:[26, 162], Operations: ['16+17=33', '195-33=162']\nExploring Operation: 162-26=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 26+162=188, Resulting Numbers: [188]\n188,103 unequal: No Solution\nExploring Operation: 26*162=4212, Resulting Numbers: [4212]\n4212,103 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 103:[43, 179], Operations: ['26+17=43', '195-16=179']\nExploring Operation: 179-43=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 43*179=7697, Resulting Numbers: [7697]\n7697,103 unequal: No Solution\nExploring Operation: 43+179=222, Resulting Numbers: [222]\n222,103 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 103:[136], Operations: ['195-16=179', '179-17=162', '162-26=136']\nMoving to Node #0,0,3,0\nCurrent State: 103:[136], Operations: ['195-16=179', '179-26=153', '153-17=136']\nMoving to Node #0,2,3,0\nCurrent State: 103:[136], Operations: ['16+17=33', '195-33=162', '162-26=136']\nMoving to Node #0,3,3,0\nCurrent State: 103:[136], Operations: ['26+17=43', '195-16=179', '179-43=136']\nMoving to Node #0,0,3,0\nCurrent State: 103:[170], Operations: ['195-16=179', '179-26=153', '17+153=170']\nMoving to Node #0,3,1\nCurrent State: 103:[16, 152], Operations: ['26+17=43', '195-43=152']\nExploring Operation: 16+152=168, Resulting Numbers: [168]\n168,103 unequal: No Solution\nExploring Operation: 152-16=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 16*152=2432, Resulting Numbers: [2432]\n2432,103 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 103:[195, 59], Operations: ['16+17=33', '26+33=59']\nExploring Operation: 195*59=11505, Resulting Numbers: [11505]\n11505,103 unequal: No Solution\nExploring Operation: 195+59=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nExploring Operation: 195-59=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 103:[195, 59], Operations: ['26+17=43', '16+43=59']\nExploring Operation: 195*59=11505, Resulting Numbers: [11505]\n11505,103 unequal: No Solution\nExploring Operation: 195-59=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 195+59=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 103:[136], Operations: ['26+17=43', '195-43=152', '152-16=136']\nMoving to Node #0,3,0,0\nCurrent State: 103:[136], Operations: ['26+17=43', '16+43=59', '195-59=136']\nMoving to Node #0,2,1,0\nCurrent State: 103:[136], Operations: ['16+17=33', '26+33=59', '195-59=136']\nMoving to Node #0,3,1,0\nCurrent State: 103:[168], Operations: ['26+17=43', '195-43=152', '16+152=168']\nMoving to Node #0,1,1\nCurrent State: 103:[17, 153], Operations: ['16+26=42', '195-42=153']\nExploring Operation: 153-17=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 17+153=170, Resulting Numbers: [170]\n170,103 unequal: No Solution\nExploring Operation: 153/17=9, Resulting Numbers: [9]\n9,103 unequal: No Solution\nExploring Operation: 17*153=2601, Resulting Numbers: [2601]\n2601,103 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 103:[195, 59], Operations: ['16+26=42', '17+42=59']\nExploring Operation: 195*59=11505, Resulting Numbers: [11505]\n11505,103 unequal: No Solution\nExploring Operation: 195+59=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nExploring Operation: 195-59=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 103:[33, 169], Operations: ['16+17=33', '195-26=169']\nExploring Operation: 33+169=202, Resulting Numbers: [202]\n202,103 unequal: No Solution\nExploring Operation: 33*169=5577, Resulting Numbers: [5577]\n5577,103 unequal: No Solution\nExploring Operation: 169-33=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 103:[179, 43], Operations: ['195-16=179', '26+17=43']\nExploring Operation: 179+43=222, Resulting Numbers: [222]\n222,103 unequal: No Solution\nExploring Operation: 179-43=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 179*43=7697, Resulting Numbers: [7697]\n7697,103 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 103:[136], Operations: ['16+26=42', '195-42=153', '153-17=136']\nMoving to Node #0,2,0,0\nCurrent State: 103:[136], Operations: ['16+17=33', '195-26=169', '169-33=136']\nMoving to Node #0,0,2,0\nCurrent State: 103:[136], Operations: ['195-16=179', '26+17=43', '179-43=136']\nMoving to Node #0,1,2,0\nCurrent State: 103:[136], Operations: ['16+26=42', '17+42=59', '195-59=136']\nMoving to Node #0,1,1,0\nCurrent State: 103:[170], Operations: ['16+26=42', '195-42=153', '17+153=170']\nMoving to Node #0,1,0\nCurrent State: 103:[42, 178], Operations: ['16+26=42', '195-17=178']\nExploring Operation: 178-42=136, Resulting Numbers: [136]\n136,103 unequal: No Solution\nExploring Operation: 42+178=220, Resulting Numbers: [220]\n220,103 unequal: No Solution\nExploring Operation: 42*178=7476, Resulting Numbers: [7476]\n7476,103 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 103:[43, 211], Operations: ['26+17=43', '16+195=211']\nExploring Operation: 43+211=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nExploring Operation: 43*211=9073, Resulting Numbers: [9073]\n9073,103 unequal: No Solution\nExploring Operation: 211-43=168, Resulting Numbers: [168]\n168,103 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 103:[188], Operations: ['195-16=179', '179-17=162', '26+162=188']\nMoving to Node #0,1,0,0\nCurrent State: 103:[136], Operations: ['16+26=42', '195-17=178', '178-42=136']\nMoving to Node #0,3,2,0\nCurrent State: 103:[168], Operations: ['26+17=43', '16+195=211', '211-43=168']\nMoving to Node #0,2,3,0\nCurrent State: 103:[188], Operations: ['16+17=33', '195-33=162', '26+162=188']\nMoving to Node #0,1,3\nCurrent State: 103:[42, 212], Operations: ['16+26=42', '17+195=212']\nExploring Operation: 42*212=8904, Resulting Numbers: [8904]\n8904,103 unequal: No Solution\nExploring Operation: 212-42=170, Resulting Numbers: [170]\n170,103 unequal: No Solution\nExploring Operation: 42+212=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nMoving to Node #0,1,3,0\nCurrent State: 103:[170], Operations: ['16+26=42', '17+195=212', '212-42=170']\nMoving to Node #0,0,1\nCurrent State: 103:[179, 9], Operations: ['195-16=179', '26-17=9']\nExploring Operation: 179*9=1611, Resulting Numbers: [1611]\n1611,103 unequal: No Solution\nExploring Operation: 179-9=170, Resulting Numbers: [170]\n170,103 unequal: No Solution\nExploring Operation: 179+9=188, Resulting Numbers: [188]\n188,103 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 103:[33, 221], Operations: ['16+17=33', '26+195=221']\nExploring Operation: 33+221=254, Resulting Numbers: [254]\n254,103 unequal: No Solution\nExploring Operation: 221-33=188, Resulting Numbers: [188]\n188,103 unequal: No Solution\nExploring Operation: 33*221=7293, Resulting Numbers: [7293]\n7293,103 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 103:[9], Operations: ['195-16=179', '179-26=153', '153/17=9']\nMoving to Node #0,0,1,0\nCurrent State: 103:[170], Operations: ['195-16=179', '26-17=9', '179-9=170']\nMoving to Node #0,0,1,0\nCurrent State: 103:[188], Operations: ['195-16=179', '26-17=9', '179+9=188']\nMoving to Node #0,2,2,0\nCurrent State: 103:[188], Operations: ['16+17=33', '26+195=221', '221-33=188']\nMoving to Node #0,1,1,0\nCurrent State: 103:[9], Operations: ['16+26=42', '195-42=153', '153/17=9']\nMoving to Node #0,2,0,0\nCurrent State: 103:[202], Operations: ['16+17=33', '195-26=169', '33+169=202']\nMoving to Node #0,1,0,0\nCurrent State: 103:[220], Operations: ['16+26=42', '195-17=178', '42+178=220']\nMoving to Node #0,0,2,0\nCurrent State: 103:[222], Operations: ['195-16=179', '26+17=43', '179+43=222']\nMoving to Node #0,3,3,0\nCurrent State: 103:[222], Operations: ['26+17=43', '195-16=179', '43+179=222']\nMoving to Node #0,2,2,0\nCurrent State: 103:[254], Operations: ['16+17=33', '26+195=221', '33+221=254']\nMoving to Node #0,3,2,0\nCurrent State: 103:[254], Operations: ['26+17=43', '16+195=211', '43+211=254']\nMoving to Node #0,1,3,0\nCurrent State: 103:[254], Operations: ['16+26=42', '17+195=212', '42+212=254']\nMoving to Node #0,1,2,0\nCurrent State: 103:[254], Operations: ['16+26=42', '17+42=59', '195+59=254']\nMoving to Node #0,3,0,0\nCurrent State: 103:[254], Operations: ['26+17=43', '16+43=59', '195+59=254']\nMoving to Node #0,2,1,0\nCurrent State: 103:[254], Operations: ['16+17=33', '26+33=59', '195+59=254']\nMoving to Node #0,0,1,0\nCurrent State: 103:[1611], Operations: ['195-16=179', '26-17=9', '179*9=1611']\nMoving to Node #0,3,1,0\nCurrent State: 103:[2432], Operations: ['26+17=43', '195-43=152', '16*152=2432']\nMoving to Node #0,1,1,0\nCurrent State: 103:[2601], Operations: ['16+26=42', '195-42=153', '17*153=2601']\nMoving to Node #0,0,3,0\nCurrent State: 103:[2601], Operations: ['195-16=179', '179-26=153', '17*153=2601']\nMoving to Node #0,0,0,0\nCurrent State: 103:[4212], Operations: ['195-16=179', '179-17=162', '26*162=4212']\nMoving to Node #0,2,3,0\nCurrent State: 103:[4212], Operations: ['16+17=33', '195-33=162', '26*162=4212']\nMoving to Node #0,2,0,0\nCurrent State: 103:[5577], Operations: ['16+17=33', '195-26=169', '33*169=5577']\nMoving to Node #0,2,2,0\nCurrent State: 103:[7293], Operations: ['16+17=33', '26+195=221', '33*221=7293']\nMoving to Node #0,1,0,0\nCurrent State: 103:[7476], Operations: ['16+26=42', '195-17=178', '42*178=7476']\nMoving to Node #0,3,3,0\nCurrent State: 103:[7697], Operations: ['26+17=43', '195-16=179', '43*179=7697']\nMoving to Node #0,0,2,0\nCurrent State: 103:[7697], Operations: ['195-16=179', '26+17=43', '179*43=7697']\nMoving to Node #0,1,3,0\nCurrent State: 103:[8904], Operations: ['16+26=42', '17+195=212', '42*212=8904']\nMoving to Node #0,3,2,0\nCurrent State: 103:[9073], Operations: ['26+17=43', '16+195=211', '43*211=9073']\nMoving to Node #0,3,0,0\nCurrent State: 103:[11505], Operations: ['26+17=43', '16+43=59', '195*59=11505']\nMoving to Node #0,1,2,0\nCurrent State: 103:[11505], Operations: ['16+26=42', '17+42=59', '195*59=11505']\nMoving to Node #0,2,1,0\nCurrent State: 103:[11505], Operations: ['16+17=33', '26+33=59', '195*59=11505']",
"role": "assistant"
}
] |
[
16,
26,
17,
195
] | 103
|
bfs_4
|
sum_heuristic
| 0
|
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 4