Created
November 30, 2018 19:00
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My Solution to the classic napsack problem
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// Dollars to notebooks | |
var valueMap = { | |
5: 6, | |
10: 13, | |
1: 1 | |
}; | |
// How much money you are allowed | |
var money = 17; | |
// Save best values | |
best = 0; | |
list = []; | |
left = 0; | |
function canBuyAny(moneyLeft) { | |
return Object.keys(valueMap).filter(function(x){ | |
return moneyLeft >= x; | |
}).length > 0; | |
} | |
function napsack(moneyLeft, bought){ | |
if(canBuyAny(moneyLeft)){ | |
Object.keys(valueMap).forEach(function(x) { | |
if(x <= moneyLeft) { | |
return napsack(moneyLeft - x, [x].concat(bought.slice())); | |
} | |
}); | |
} else { | |
let sum = bought.reduce((accum, x) => +accum + valueMap[x] , 0); | |
if(sum > best){ | |
list = bought; | |
best = sum; | |
left = moneyLeft; | |
} | |
return bought; | |
} | |
} | |
napsack(money, []); | |
console.log(`Money Left: ${left}; Prices paid: ${list.join(', ')}; Total Items: ${best}`); |
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