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LightOJ 1205 Palindromic Numbers

發布時間:2025/7/14 66 豆豆
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數位DP。。。。



Palindromic Numbers
Time Limit:?2000MSMemory Limit:?32768KB64bit 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\n",cas++,gaoit(y)-gaoit(x-1));}return 0; }


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