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Optimized solver for 2023 puzzle
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const prettyPrintLog = {}; | |
const prettyPrint = (expr) => { | |
const stack = []; | |
for (const c of expr) { | |
switch (c) { | |
case -1: { | |
const r = stack.pop(); | |
const l = stack.pop(); | |
stack.push({ str: `${l.str}+${r.str}`, priority: 3 }); | |
break; | |
} | |
case -2: { | |
const r = stack.pop(); | |
const l = stack.pop(); | |
if (r.priority < 3) { | |
stack.push({ str: `${l.str}-${r.str}`, priority: 3 }); | |
} else { | |
stack.push({ str: `${l.str}-(${r.str})`, priority: 3 }); | |
} | |
break; | |
} | |
case -3: { | |
const r = stack.pop(); | |
const l = stack.pop(); | |
const rStr = r.priority === 3 ? `(${r.str})` : r.str; | |
const lStr = l.priority === 3 ? `(${l.str})` : l.str; | |
stack.push({ str: `${lStr}*${rStr}`, priority: 2 }); | |
break; | |
} | |
case -4: { | |
const r = stack.pop(); | |
const l = stack.pop(); | |
const rStr = r.priority >= 2 ? `(${r.str})` : r.str; | |
const lStr = l.priority === 3 ? `(${l.str})` : l.str; | |
stack.push({ str: `${lStr}/${rStr}`, priority: 2 }); | |
break; | |
} | |
default: | |
stack.push({ str: c, priority: 1 }); | |
} | |
} | |
const output = stack.pop().str; | |
if (!prettyPrintLog[output]) { | |
prettyPrintLog[output] = true; | |
console.log(output); | |
} | |
}; | |
const solve = (expr) => { | |
const stack = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; | |
let pos = 0; | |
for (let i = 0; i < expr.length; i++) { | |
const item = expr[i]; | |
if (item < 0) { | |
const left = stack[pos - 2]; | |
const right = stack[pos - 1]; | |
switch (item) { | |
case -1: stack[--pos - 1] = left + right; break; | |
case -2: stack[--pos - 1] = left - right; break; | |
case -3: stack[--pos - 1] = left * right; break; | |
case -4: stack[--pos - 1] = left / right; break; | |
} | |
} else { | |
stack[pos++] = item; | |
} | |
} | |
const result = stack[0] - 2023; | |
if (-0.001 < result && result < 0.001) { | |
prettyPrint(expr); | |
} | |
}; | |
const opCharList = [0, -1, -2, -3, -4]; | |
const traverse = (expr, depth, number, opes, nums, eightDepth) => { | |
if (depth === 19) { | |
solve(expr) | |
} | |
for (let i = 0; i < opCharList.length; i++) { | |
const op = opCharList[i]; | |
if (!op) { | |
if (number > 0) { | |
expr[depth] = number; | |
if (traverse(expr, depth + 1, number - 1, opes, nums + 1, number === 8 ? 0 : eightDepth < 0 ? eightDepth : eightDepth + 1)) { | |
return true; | |
} | |
} | |
} else { | |
if (nums - opes >= 2) { | |
if (eightDepth === 0 && op !== -4) { | |
continue; | |
} | |
expr[depth] = op; | |
traverse(expr, depth + 1, number, opes + 1, nums, eightDepth - 1); | |
} | |
} | |
} | |
}; | |
traverse([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 0, 10, 0, 0, -1); |
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