2023 ICPC 亚洲区域赛 济南站 D. Largest Digit

D. Largest Digit

time limit per test: 1 second

memory limit per test: 1024 megabytes

Let f(x) be the largest digit in the decimal representation of a positive integer x. For example, f(4523)=5 and f(1001)=1.

Given four positive integers la, ra, lb and rb such that la≤ra and lb≤rb, calculate the maximum value of f(a+b), where la≤a≤ra and lb≤b≤rb.

Input

There are multiple test cases. The first line of the input contains an integer T (1≤T≤) indicating the number of test cases. For each test case:

The first and only line contains four integers la, ra, lb and rb (1≤la≤ra≤, 1≤lb≤rb≤).

Output

For each test case output one line containing one integer indicating the maximum value of f(a+b).

Example

input

2

178 182 83 85

2 5 3 6

output

7

9

Note

For the first sample test case, the answer is f(182+85)=f(267)=7.

For the second sample test case, the answer is f(4+5)=f(9)=9.

【思路分析】

签到题。显然，所求区间转换为[lb+la,rb+ra]，遍历该区间会tle，当答案为9时进行剪枝即可。

#include <iostream>
#include <vector>
#include <unordered_map>
#include <map>
#include <cmath>
#include <algorithm>
#include <climits>
#include <stack>
#include <cstring>
#include <iomanip>
#include <set>
#include <queue>

#define i64 long long

using namespace std;

typedef pair<i64,i64> pii;

void solve() {
    i64 la,ra,lb,rb,res = 0;
    cin>>la>>ra>>lb>>rb;
    for (i64 i = la+lb; i <= ra+rb; ++i) {
        for (const auto &item: to_string(i)){
            res = max(res,(i64)(item-'0'));
            if (res == 9) goto flag;
        }
    }
    flag:
    cout<<res<<endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int t = 1;
    cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}