Skip to content

feat: add solutions to lc problem: No.2171 #2234

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 1 commit into from
Jan 18, 2024
Merged
Show file tree
Hide file tree
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
Original file line number Diff line number Diff line change
Expand Up @@ -57,28 +57,29 @@

## 解法

### 方法一:排序求和
### 方法一:排序 + 枚举

我们可以将所有袋子中的魔法豆按照从小到大的顺序排列,然后枚举每个袋子的魔法豆数目 $beans[i]$ 作为最终袋子中魔法豆数目,那么一共剩余的魔法豆数目为 $beans[i] \times (n - i)$,因此需要拿出的魔法豆数目为 $s - beans[i] \times (n - i)$,其中 $s$ 为所有袋子中魔法豆的总数。我们求出所有方案中需要拿出的魔法豆数目的最小值即可。

时间复杂度 $O(n \times \log n)$,空间复杂度 $O(\log n)$。其中 $n$ 为袋子的数目。

<!-- tabs:start -->

```python
class Solution:
def minimumRemoval(self, beans: List[int]) -> int:
beans.sort()
ans = s = sum(beans)
n = len(beans)
for i, v in enumerate(beans):
ans = min(ans, s - v * (n - i))
return ans
s, n = sum(beans), len(beans)
return min(s - x * (n - i) for i, x in enumerate(beans))
```

```java
class Solution {
public long minimumRemoval(int[] beans) {
Arrays.sort(beans);
long s = 0;
for (int v : beans) {
s += v;
for (int x : beans) {
s += x;
}
long ans = s;
int n = beans.length;
Expand All @@ -98,7 +99,9 @@ public:
long long s = accumulate(beans.begin(), beans.end(), 0ll);
long long ans = s;
int n = beans.size();
for (int i = 0; i < n; ++i) ans = min(ans, s - 1ll * beans[i] * (n - i));
for (int i = 0; i < n; ++i) {
ans = min(ans, s - 1ll * beans[i] * (n - i));
}
return ans;
}
};
Expand All @@ -108,27 +111,26 @@ public:
func minimumRemoval(beans []int) int64 {
sort.Ints(beans)
s := 0
for _, v := range beans {
s += v
for _, x := range beans {
s += x
}
ans := s
n := len(beans)
for i, v := range beans {
ans = min(ans, s-v*(n-i))
for i, x := range beans {
ans = min(ans, s-x*(n-i))
}
return int64(ans)
}
```

```ts
function minimumRemoval(beans: number[]): number {
const n = beans.length;
let sum = beans.reduce((a, c) => a + c, 0);
beans.sort((a, b) => a - b);
let ans = sum;
for (let i = 0; i < n; i++) {
let num = beans[i];
ans = Math.min(sum - num * (n - i), ans);
const s = beans.reduce((a, b) => a + b, 0);
const n = beans.length;
let ans = s;
for (let i = 0; i < n; ++i) {
ans = Math.min(ans, s - beans[i] * (n - i));
}
return ans;
}
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -53,28 +53,29 @@ There are no other solutions that removes 7 beans or fewer.

## Solutions

### Solution 1
### Solution 1: Sorting + Enumeration

We can sort all the beans in the bags in ascending order, and then enumerate the number of beans $beans[i]$ in each bag as the final number of beans in the bag. The total remaining number of beans is $beans[i] \times (n - i)$, so the number of beans that need to be taken out is $s - beans[i] \times (n - i)$, where $s$ is the total number of beans in all bags. We need to find the minimum number of beans that need to be taken out among all schemes.

The time complexity is $O(n \times \log n)$, and the space complexity is $O(\log n)$. Here, $n$ is the number of bags.

<!-- tabs:start -->

```python
class Solution:
def minimumRemoval(self, beans: List[int]) -> int:
beans.sort()
ans = s = sum(beans)
n = len(beans)
for i, v in enumerate(beans):
ans = min(ans, s - v * (n - i))
return ans
s, n = sum(beans), len(beans)
return min(s - x * (n - i) for i, x in enumerate(beans))
```

```java
class Solution {
public long minimumRemoval(int[] beans) {
Arrays.sort(beans);
long s = 0;
for (int v : beans) {
s += v;
for (int x : beans) {
s += x;
}
long ans = s;
int n = beans.length;
Expand All @@ -94,7 +95,9 @@ public:
long long s = accumulate(beans.begin(), beans.end(), 0ll);
long long ans = s;
int n = beans.size();
for (int i = 0; i < n; ++i) ans = min(ans, s - 1ll * beans[i] * (n - i));
for (int i = 0; i < n; ++i) {
ans = min(ans, s - 1ll * beans[i] * (n - i));
}
return ans;
}
};
Expand All @@ -104,27 +107,26 @@ public:
func minimumRemoval(beans []int) int64 {
sort.Ints(beans)
s := 0
for _, v := range beans {
s += v
for _, x := range beans {
s += x
}
ans := s
n := len(beans)
for i, v := range beans {
ans = min(ans, s-v*(n-i))
for i, x := range beans {
ans = min(ans, s-x*(n-i))
}
return int64(ans)
}
```

```ts
function minimumRemoval(beans: number[]): number {
const n = beans.length;
let sum = beans.reduce((a, c) => a + c, 0);
beans.sort((a, b) => a - b);
let ans = sum;
for (let i = 0; i < n; i++) {
let num = beans[i];
ans = Math.min(sum - num * (n - i), ans);
const s = beans.reduce((a, b) => a + b, 0);
const n = beans.length;
let ans = s;
for (let i = 0; i < n; ++i) {
ans = Math.min(ans, s - beans[i] * (n - i));
}
return ans;
}
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,9 @@ class Solution {
long long s = accumulate(beans.begin(), beans.end(), 0ll);
long long ans = s;
int n = beans.size();
for (int i = 0; i < n; ++i) ans = min(ans, s - 1ll * beans[i] * (n - i));
for (int i = 0; i < n; ++i) {
ans = min(ans, s - 1ll * beans[i] * (n - i));
}
return ans;
}
};
Original file line number Diff line number Diff line change
@@ -1,13 +1,13 @@
func minimumRemoval(beans []int) int64 {
sort.Ints(beans)
s := 0
for _, v := range beans {
s += v
for _, x := range beans {
s += x
}
ans := s
n := len(beans)
for i, v := range beans {
ans = min(ans, s-v*(n-i))
for i, x := range beans {
ans = min(ans, s-x*(n-i))
}
return int64(ans)
}
Original file line number Diff line number Diff line change
Expand Up @@ -2,8 +2,8 @@ class Solution {
public long minimumRemoval(int[] beans) {
Arrays.sort(beans);
long s = 0;
for (int v : beans) {
s += v;
for (int x : beans) {
s += x;
}
long ans = s;
int n = beans.length;
Expand Down
Original file line number Diff line number Diff line change
@@ -1,8 +1,5 @@
class Solution:
def minimumRemoval(self, beans: List[int]) -> int:
beans.sort()
ans = s = sum(beans)
n = len(beans)
for i, v in enumerate(beans):
ans = min(ans, s - v * (n - i))
return ans
s, n = sum(beans), len(beans)
return min(s - x * (n - i) for i, x in enumerate(beans))
Original file line number Diff line number Diff line change
@@ -1,11 +1,10 @@
function minimumRemoval(beans: number[]): number {
const n = beans.length;
let sum = beans.reduce((a, c) => a + c, 0);
beans.sort((a, b) => a - b);
let ans = sum;
for (let i = 0; i < n; i++) {
let num = beans[i];
ans = Math.min(sum - num * (n - i), ans);
const s = beans.reduce((a, b) => a + b, 0);
const n = beans.length;
let ans = s;
for (let i = 0; i < n; ++i) {
ans = Math.min(ans, s - beans[i] * (n - i));
}
return ans;
}