LightOJ 1205 Palindromic Numbers

数位DP。。。。

Palindromic Numbers

Time Limit: 2000MS

Memory Limit: 32768KB

64bit IO Format: %lld & %llu

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Description

A palindromic number or numeral palindrome is a 'symmetrical' number like 16461 that remains the same when its digits are reversed. In this problem you will be given two integers i j, you have to find the number of palindromic numbers between i and j (inclusive).

Input

Input starts with an integer T (≤ 200), denoting the number of test cases.

Each case starts with a line containing two integers i j (0 ≤ i, j ≤ 10¹⁷).

Output

For each case, print the case number and the total number of palindromic numbers between i and j (inclusive).

Sample Input

4

1 10

100 1

1 1000

1 10000

Sample Output

Case 1: 9

Case 2: 18

Case 3: 108

Case 4: 198

Source

Problem Setter: Jane Alam Jan

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

typedef long long int LL;

int a[70];
LL dp[70][70];

LL dfs(int len,int l,int r,bool limit,bool ok)
{
	if(l<r) return !limit||(limit&&ok);
	if(!limit&&~dp[len][l])
		return dp[len][l];
	LL ret=0;
	int mx=limit?a[l]:9;
	for(int i=0;i<=mx;i++)
	{
		if(l==len-1&&i==0)
			continue;
		int g=ok;
		if(g) g=a[r]>=i;
		else g=a[r]>i;
		ret+=dfs(len,l-1,r+1,limit&&i==mx,g);
	}
	if(!limit)
		dp[len][l]=ret;
	return ret;
}

LL gaoit(LL n)
{
	if(n<0) return 0;
	if(n==0) return 1;
	int len=0;
	while(n){a[len++]=n%10;n/=10;}
	LL ret=1;
	for(int i=len;i>=1;i--)
		ret+=dfs(i,i-1,0,i==len,1);
	return ret;
}

int main()
{
	int T_T,cas=1;
	cin>>T_T;
	memset(dp,-1,sizeof(dp));
	while(T_T--)
	{
		LL x,y;
		cin>>x>>y;
		if(x>y) swap(x,y);
		printf("Case %d: %lld
",cas++,gaoit(y)-gaoit(x-1));
	}
	return 0;
}