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---
id: 5a23c84252665b21eecc7ed3
title: ナップサック問題 / 連続
challengeType: 5
forumTopicId: 323654
dashedName: knapsack-problemcontinuous
---
# --description--
泥棒が肉屋に押し入り、商品の中から盗むものを選びます。
泥棒はそれぞれの商品の重量と価格を知っています。 泥棒は耐荷重に制限のあるナップサックを持ち込んでおり、耐えられる重量の範囲内で利益を最大化できる商品を選びたいと考えています。 商品は切ることも可能です。切ると、元の価格に応じ、質量比に合わせて価格が減少します。 つまり、商品を半分に切ると、その価格は元の商品の半値になります。
# --instructions--
店に並んでいる商品を表すオブジェクトの配列を取る関数を記述してください。 各オブジェクトには商品名、重量、価格の 3 つの属性があります。 また、この関数はパラメータとして最大重量を取ります。 関数は価格が最大となる値を返す必要があり、選択した商品の総重量は最大重量を超えてはいけません。
# --hints--
`knapContinuous([{ "weight":3.8, "value":36, name:"beef" }, { "weight":5.4, "value":43, name:"pork" }, { "weight":3.6, "value":90, name:"ham" }, { "weight":2.4, "value":45, name:"greaves" }, { "weight":4.0, "value":30, name:"flitch" }, { "weight":2.5, "value":56, name:"brawn" }, { "weight":3.7, "value":67, name:"welt" }, { "weight":3.0, "value":95, name:"salami" }, { "weight":5.9, "value":98, name:"sausage" }], 10)``257.875` を返す必要があります。
```js
assert.equal(
knapContinuous(
[
{ weight: 3.8, value: 36, name: 'beef' },
{ weight: 5.4, value: 43, name: 'pork' },
{ weight: 3.6, value: 90, name: 'ham' },
{ weight: 2.4, value: 45, name: 'greaves' },
{ weight: 4.0, value: 30, name: 'flitch' },
{ weight: 2.5, value: 56, name: 'brawn' },
{ weight: 3.7, value: 67, name: 'welt' },
{ weight: 3.0, value: 95, name: 'salami' },
{ weight: 5.9, value: 98, name: 'sausage' }
],
10
),
257.875
);
```
`knapContinuous([{ "weight":3.8, "value":36, name:"beef" }, { "weight":5.4, "value":43, name:"pork" }, { "weight":3.6, "value":90, name:"ham" }, { "weight":2.4, "value":45, name:"greaves" }, { "weight":4.0, "value":30, name:"flitch" }, { "weight":2.5, "value":56, name:"brawn" }, { "weight":3.7, "value":67, name:"welt" }, { "weight":3.0, "value":95, name:"salami" }, { "weight":5.9, "value":98, name:"sausage" }], 12)``295.05405405405406` を返す必要があります。
```js
assert.equal(
knapContinuous(
[
{ weight: 3.8, value: 36, name: 'beef' },
{ weight: 5.4, value: 43, name: 'pork' },
{ weight: 3.6, value: 90, name: 'ham' },
{ weight: 2.4, value: 45, name: 'greaves' },
{ weight: 4.0, value: 30, name: 'flitch' },
{ weight: 2.5, value: 56, name: 'brawn' },
{ weight: 3.7, value: 67, name: 'welt' },
{ weight: 3.0, value: 95, name: 'salami' },
{ weight: 5.9, value: 98, name: 'sausage' }
],
12
),
295.05405405405406
);
```
`knapContinuous([{ "weight":3.8, "value":36, name:"beef" }, { "weight":5.4, "value":43, name:"pork" }, { "weight":3.6, "value":90, name:"ham" }, { "weight":2.4, "value":45, name:"greaves" }, { "weight":4.0, "value":30, name:"flitch" }, { "weight":2.5, "value":56, name:"brawn" }, { "weight":3.7, "value":67, name:"welt" }, { "weight":3.0, "value":95, name:"salami" }, { "weight":5.9, "value":98, name:"sausage" }], 15)``349.3783783783784` を返す必要があります。
```js
assert.equal(
knapContinuous(
[
{ weight: 3.8, value: 36, name: 'beef' },
{ weight: 5.4, value: 43, name: 'pork' },
{ weight: 3.6, value: 90, name: 'ham' },
{ weight: 2.4, value: 45, name: 'greaves' },
{ weight: 4.0, value: 30, name: 'flitch' },
{ weight: 2.5, value: 56, name: 'brawn' },
{ weight: 3.7, value: 67, name: 'welt' },
{ weight: 3.0, value: 95, name: 'salami' },
{ weight: 5.9, value: 98, name: 'sausage' }
],
15
),
349.3783783783784
);
```
`knapContinuous([{ "weight":3.8, "value":36, name:"beef" }, { "weight":5.4, "value":43, name:"pork" }, { "weight":3.6, "value":90, name:"ham" }, { "weight":2.4, "value":45, name:"greaves" }, { "weight":4.0, "value":30, name:"flitch" }, { "weight":2.5, "value":56, name:"brawn" }, { "weight":3.7, "value":67, name:"welt" }, { "weight":3.0, "value":95, name:"salami" }, { "weight":5.9, "value":98, name:"sausage" }], 22)``459.5263157894737` を返す必要があります。
```js
assert.equal(
knapContinuous(
[
{ weight: 3.8, value: 36, name: 'beef' },
{ weight: 5.4, value: 43, name: 'pork' },
{ weight: 3.6, value: 90, name: 'ham' },
{ weight: 2.4, value: 45, name: 'greaves' },
{ weight: 4.0, value: 30, name: 'flitch' },
{ weight: 2.5, value: 56, name: 'brawn' },
{ weight: 3.7, value: 67, name: 'welt' },
{ weight: 3.0, value: 95, name: 'salami' },
{ weight: 5.9, value: 98, name: 'sausage' }
],
22
),
459.5263157894737
);
```
`knapContinuous([{ "weight":3.8, "value":36, name:"beef" }, { "weight":5.4, "value":43, name:"pork" }, { "weight":3.6, "value":90, name:"ham" }, { "weight":2.4, "value":45, name:"greaves" }, { "weight":4.0, "value":30, name:"flitch" }, { "weight":2.5, "value":56, name:"brawn" }, { "weight":3.7, "value":67, name:"welt" }, { "weight":3.0, "value":95, name:"salami" }, { "weight":5.9, "value":98, name:"sausage" }], 24)``478.4736842105263` を返す必要があります。
```js
assert.equal(
knapContinuous(
[
{ weight: 3.8, value: 36, name: 'beef' },
{ weight: 5.4, value: 43, name: 'pork' },
{ weight: 3.6, value: 90, name: 'ham' },
{ weight: 2.4, value: 45, name: 'greaves' },
{ weight: 4.0, value: 30, name: 'flitch' },
{ weight: 2.5, value: 56, name: 'brawn' },
{ weight: 3.7, value: 67, name: 'welt' },
{ weight: 3.0, value: 95, name: 'salami' },
{ weight: 5.9, value: 98, name: 'sausage' }
],
24
),
478.4736842105263
);
```
# --seed--
## --seed-contents--
```js
function knapContinuous(items, maxweight) {
}
```
# --solutions--
```js
function knapContinuous(items, maxweight) {
function item_cmp(a, b) {
const ua = a.unitVal,
ub = b.unitVal;
return ua < ub ? 1 : ua > ub ? -1 : 0;
}
items = items.map(({ value, weight }) => ({
unitVal: value / weight,
weight
}));
items.sort(item_cmp);
let val = 0;
let wt = 0;
for (let { unitVal, weight } of items) {
var portion = Math.min(maxweight - wt, weight);
wt += portion;
var addVal = portion * unitVal;
val += addVal;
if (wt >= maxweight) {
break;
}
}
return val;
}
```