80 Days

题目4 : 80 Days

时间限制:1000ms

单点时限:1000ms

内存限制:256MB

描述

80 Days is an interesting game based on Jules Verne's science fiction "Around the World in Eighty Days". In this game, you have to manage the limited money and time.

Now we simplified the game as below:

There are n cities on a circle around the world which are numbered from 1 to n by their order on the circle. When you reach the city i at the first time, you will get ai dollars (ai can even be negative), and if you want to go to the next city on the circle, you should pay bi dollars. At the beginning you have c dollars.

The goal of this game is to choose a city as start point, then go along the circle and visit all the city once, and finally return to the start point. During the trip, the money you have must be no less than zero.

Here comes a question: to complete the trip, which city will you choose to be the start city?

If there are multiple answers, please output the one with the smallest number.

输入

The first line of the input is an integer T (T ≤ 100), the number of test cases.

For each test case, the first line contains two integers n and c (1 ≤ n ≤ 106, 0 ≤ c ≤ 109).  The second line contains n integers a1, …, an  (-109 ≤ ai ≤ 109), and the third line contains n integers b1, …, bn (0 ≤ bi ≤ 109).

It's guaranteed that the sum of n of all test cases is less than 106

输出

For each test case, output the start city you should choose.

提示

For test case 1, both city 2 and 3 could be chosen as start point, 2 has smaller number. But if you start at city 1, you can't go anywhere.

For test case 2, start from which city seems doesn't matter, you just don't have enough money to complete a trip.

样例输入

2
3 0
3 4 5
5 4 3
3 100
-3 -4 -5
30 40 50

样例输出

2
-1

题目意思是，有n个城市维持一个圆，开始你有c元钱，在你到达这个会得到a[i]的钱，去下个城市要花b[i]的钱，问在过程中钱不低于0要从哪个城市开始走，输出最小的那个。

#include<stdio.h>
#define N 1000020
int a[N],b[N];
int main()
{
	int t,n,i,j,temp;
	long long sum1,sum2,c;
	scanf("%d",&t);
	while(t--)
	{
		sum1=0;sum2=0;
		scanf("%d%lld",&n,&c);
		for(i=1;i<=n;i++)
		{
			scanf("%d",&a[i]);
			sum1+=a[i];
		}
			
		for(i=1;i<=n;i++)
		{
			scanf("%d",&b[i]);
			sum2+=b[i];
		}
		if(sum1+c-sum2<0)
		{
			printf("-1
");
			continue;
		}
			
		for(i=1;i<=n;i++)
		{
			sum1=c;
			temp=1;
			for(j=i;j<=n;j++)
			{
				sum1=sum1+a[j]-b[j];
				if(sum1<0)
				{
					temp=0;
					break;
				}
			}
			if(temp)
			for(j=1;j<i;j++)
			{
				sum1=sum1+a[j]-b[j];
				if(sum1<0)
				{
					temp=0;
					break;
				}
			}
			if(temp==1)
				break;
		}
		
		if(temp==1)
			printf("%d
",j);
		else
			printf("-1
");
	}
	return 0;
}