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# 题目

## Description

Ruins is driving a car to participating in a programming contest. As on a very tight schedule, he will drive the car without any slow down, so the speed of the car is non-decrease real number.

Of course, his speeding caught the attention of the traffic police. Police record N positions of Ruins without time mark, the only thing they know is every position is recorded at an integer time point and Ruins started at 0.

Now they want to know the minimum time that Ruins used to pass the last position.

## Input

First line contains an integer T, which indicates the number of test cases.

Every test case begins with an integers N, which is the number of the recorded positions.

The second line contains N numbers a1, a2, , aN, indicating the recorded positions.

Limits
1≤T≤100
1≤N≤105
0<ai≤105
ai<ai+1

## Output

For every test case, you should output 'Case #x: y', where x indicates the case number and counts from 1 and y is the minimum time.

1
3
6 11 21

Case #1: 4

# 代码

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <iomanip>
#include <string>
#include <cstring>
#include <stack>
#include <queue>
#include <cmath>
#include <set>
#include <vector>
#include <list>
#include <map>
#include <functional>

using namespace std;

const int maxn = 100005;

int kase = 1;
int a[maxn];

int vs_main() {
cin.tie(0);
cin.sync_with_stdio(false);

a[0] = 0;

int T;
cin >> T;
while(T--) {
int n;
cin >> n;

long long sum = 0;
for(int i = 1;i <= n;i++)
cin >> a[i];

double maxv = 99999999;
int ans = 0;
for(int i = n;i>0;i--) {
int dis = a[i] - a[i - 1];
double tt = (double)dis / maxv;
int t = (int)(tt + 0.001);
if((double)dis / (double)t > maxv)
t++;

maxv = (double)dis / (double)t;
ans += t;
}
cout << "Case #" << kase++ << ": " << ans << endl;

}
return 0;
}

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