codeforces 680A Bear and Five Cards

小熊Limak正在玩一个游戏,手中持有五张带有正整数的卡片。本任务的目标是最小化剩余卡片上的数值之和,允许一次丢弃两到三张相同数字的卡片。

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A. Bear and Five Cards
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

A little bear Limak plays a game. He has five cards. There is one number written on each card. Each number is a positive integer.

Limak can discard (throw out) some cards. His goal is to minimize the sum of numbers written on remaining (not discarded) cards.

He is allowed to at most once discard two or three cards with the same number. Of course, he won't discard cards if it's impossible to choose two or three cards with the same number.

Given five numbers written on cards, cay you find the minimum sum of numbers on remaining cards?

Input

The only line of the input contains five integers t1t2t3t4 and t5 (1 ≤ ti ≤ 100) — numbers written on cards.

Output

Print the minimum possible sum of numbers written on remaining cards.

Examples
input
Copy
7 3 7 3 20
output
Copy
26
input
Copy
7 9 3 1 8
output
Copy
28
input
Copy
10 10 10 10 10
output
Copy
20
Note

In the first sample, Limak has cards with numbers 7373 and 20. Limak can do one of the following.

  • Do nothing and the sum would be 7 + 3 + 7 + 3 + 20 = 40.
  • Remove two cards with a number 7. The remaining sum would be 3 + 3 + 20 = 26.
  • Remove two cards with a number 3. The remaining sum would be 7 + 7 + 20 = 34.

You are asked to minimize the sum so the answer is 26.

In the second sample, it's impossible to find two or three cards with the same number. Hence, Limak does nothing and the sum is 7 + 9 + 1 + 3 + 8 = 28.

In the third sample, all cards have the same number. It's optimal to discard any three cards. The sum of two remaining numbers is 10 + 10 = 20.


水题

#include<bits/stdc++.h>  
using namespace std;  
typedef long long ll;  
const int inf = 0x3f3f3f3f;  
int main()   
{  
	// freopen("shuju.txt","r",stdin);
    int a[10];
    memset(a,0,sizeof(a));
    int sum=0;
    for(int i=1;i<=5;i++)
    {
    	cin>>a[i];
    	sum+=a[i];
    }
    sort(a+1,a+1+5);
    int mi=sum;
    for(int i=5;i>1;i--)
    {
    	if(a[i]==a[i-1]&&a[i]==a[i-2])
    	{
    		mi=min(mi,sum-a[i]*3);
    	}
    	if(a[i]==a[i-1])
    	{
    		mi=min(mi,sum-a[i]*2);
    	}
    }  
    cout<<mi<<endl;
    return 0;  
}


虽然给定引用中未直接提及“Kuroni and Simple Strings”目的详细信息,但通常这类目可能与字符串处理、括号匹配等相关。一般而言,目可能会给出一个由括号组成的字符串,要求找出能移除的最大数量的不相交的合法括号对,并输出移除这些括号对后的相关信息。 ### 解法分析 #### 栈解法 栈解法是处理括号匹配问的经典方法。通过遍历字符串,将左括号压入栈中,遇到右括号时,若栈顶为左括号,则将栈顶元素弹出,表示这是一对匹配的括号。 ```python s = input() stack = [] pairs = [] for i, char in enumerate(s): if char == '(': stack.append(i) else: if stack: left_index = stack.pop() pairs.append((left_index + 1, i + 1)) if not pairs: print(0) else: print(1) print(len(pairs) * 2) result = [] for l, r in pairs: result.extend([l, r]) result.sort() print(" ".join(map(str, result))) ``` #### 双指针解法 双指针解法从字符串的两端向中间遍历,分别使用两个指针 `left` 和 `right`。`left` 指针从左向右寻找 `(`,`right` 指针从右向左寻找 `)`,当找到一对匹配的括号时,将它们标记为已移除,继续寻找下一对匹配的括号,直到无法再找到匹配的括号为止。 ```python s = input() n = len(s) left = 0 right = n - 1 pairs = [] while left < right: while left < right and s[left] != '(': left += 1 while left < right and s[right] != ')': right -= 1 if left < right: pairs.append((left + 1, right + 1)) left += 1 right -= 1 if not pairs: print(0) else: print(1) print(len(pairs) * 2) result = [] for l, r in pairs: result.extend([l, r]) result.sort() print(" ".join(map(str, result))) ``` ### 复杂度分析 - **栈解法**:时间复杂度为 $O(n)$,其中 $n$ 是字符串的长度。空间复杂度为 $O(n)$,主要用于栈的空间开销。 - **双指针解法**:时间复杂度为 $O(n)$,空间复杂度为 $O(n)$,主要用于存储匹配的括号对。
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