1282 - Leading and Trailing

1282 - Leading and Trailing

Time Limit:2000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu

Submit Status Practice LightOJ 1282 uDebug

Description

You are given two integers: n and k, your task is to find the most significant three digits, and least significant three digits of n^k.

Input

Input starts with an integer T (≤ 1000), denoting the number of test cases.

Each case starts with a line containing two integers: n (2 ≤ n < 2³¹) and k (1 ≤ k ≤ 10⁷).

Output

For each case, print the case number and the three leading digits (most significant) and three trailing digits (least significant). You can assume that the input is given such that n^k contains at least six digits.

Sample Input

5

123456 1

123456 2

2 31

2 32

29 8751919

Sample Output

Case 1: 123 456

Case 2: 152 936

Case 3: 214 648

Case 4: 429 296

Case 5: 665 669

#include<stdio.h>
#include<math.h>
#define ll __int64
#include<algorithm>
using namespace std;

ll QuackMod(ll a,ll b,ll mod) { 
	ll ans;
	if(!b)		return 1;
	ans=QuackMod(a*a%mod,b/2,mod);
	if(b&1)		ans=ans*a%mod;
	return ans;
}

int main() {
	int t;
	scanf("%d",&t);
	for(int j=1; j<=t; j++) {
		ll n,k;
		scanf("%I64d%I64d",&n,&k);
		int strat=(int)pow(10.0,2.0+fmod(k*log10(n*1.0),1.0));
		int end=(int)QuackMod(n,k,1000);
		printf("Case %d: %d %03d\n",j,strat,end);
	}
	return 0;
}