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Task about giving cash from ATM
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function giveMyMoney(money, coins) { | |
let needCoins = [], minCoins = []; minCoins[0] = 0; | |
// перебираем все суммы до заданной суммы (можно начать с мин.купюры) | |
for (let sum = 1; sum <= money; sum++) { | |
// по умолчанию эта сумма не для выдачи | |
minCoins[sum] = Number.MAX_VALUE; | |
// перебираем все купюры | |
for (let coin = coins.length - 1; coin >= 0; coin--) { | |
if (sum >= coins[coin].val && minCoins[sum] > minCoins[sum - coins[coin].val] + 1) { | |
// нашли способ выдать сумму sum | |
minCoins[sum] = minCoins[sum - coins[coin].val] + 1; | |
} | |
} | |
} | |
// Если заданную сумму нельзя разложить по заданным купюрам | |
if (minCoins[money] === Number.MAX_VALUE) { return []; } | |
// minCoins - хранит минимальное кол-во купюр, ктр нужны для выдачи заданной суммы | |
let sum = money; | |
while (sum > 0) { | |
let curSum = sum; | |
for (let coin = coins.length - 1; coin >= 0; coin--) { | |
let isCoinExist = coins[coin].count > 0; | |
if (isCoinExist && sum >= coins[coin].val && (minCoins[sum] == minCoins[sum - coins[coin].val] + 1 || minCoins[sum] == minCoins[sum - coins[coin].val])) { | |
if (!needCoins[coin]) { | |
needCoins[coin] = 0; | |
} | |
++needCoins[coin]; | |
sum -= coins[coin].val; | |
coins[coin].count -= 1; | |
break; | |
} | |
} | |
if (curSum === sum) { | |
needCoins = []; | |
break; // не хватает купюр | |
} | |
} | |
return needCoins; | |
} | |
let coins = [ | |
{ val: 30, count: 10 }, | |
{ val: 50, count: 10 }, | |
{ val: 100, count: 10 }, | |
{ val: 500, count: 10 }, | |
{ val: 1000, count: 10 }, | |
{ val: 5000, count: 10 } | |
]; | |
const money = 19890; | |
const needCoins = giveMyMoney(money, coins); | |
let res = "", controlSum = 0; | |
if (needCoins.length) { | |
needCoins.forEach((item, ind) => { | |
controlSum += item*coins[ind].val; | |
const symbol = ind < needCoins.length-1 ? " + " : ""; | |
res += (item + "*" + coins[ind].val + symbol); | |
}); | |
} | |
console.info(res ? `Control sum ${controlSum} must be the same as input sum ${money}!`: ""); | |
console.info(res ? `${money} = ${res}` : "Введена неверная сумма или недостаточно купюр в банкомате"); |
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