Given a collection of number segments, you are supposed to recover the smallest number from them. For example, given { 32, 321, 3214, 0229, 87 }, we can recover many numbers such like 32-321-3214-0229-87 or 0229-32-87-321-3214 with respect to different orders of combinations of these segments, and the smallest number is 0229-321-3214-32-87.
Input Specification:
Each input file contains one test case. Each case gives a positive integer N (≤10^4) followed by N number segments. Each segment contains a non-negative integer of no more than 8 digits. All the numbers in a line are separated by a space.
Output Specification:
For each test case, print the smallest number in one line. Notice that the first digit must not be zero.
Sample Input:
5 32 321 3214 0229 87
Sample Output:
22932132143287
思路
- 贪心:对字符串 s1 与 s2,如果 s1 + s2 < s2 + s1,那么把 s1 放在 s2 的前面。
注意点
- 结果串的所有前导零需要去掉。由于每个字符串都是非负的整数(non-negative),是有可能为 0 的,所以如果去除前导零后串的长度变为0,则输出0。
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
const int maxn = 10000;
int cmp(string s1, string s2) {
return s1 + s2 < s2 + s1;
}
int main() {
int n;
string str[maxn];
cin >> n;
for (int i = 0; i < n; i++) {
cin >> str[i];
}
sort(str, str + n, cmp);
string ans;
for (int i = 0; i < n; i++) {
ans += str[i];
}
while (ans.size() != 0 && ans[0] == '0') {
ans.erase(ans.begin());
}
if (ans.size() == 0) {
cout << 0;
} else {
cout << ans;
}
return 0;
}