【题意】求L,R区间里面严格递增或者严格递减的数的个数。
【解题方法】数位DP。正解给了两种方法,我直接用数位DP水过去了。
【代码君】
//
//Created by just_sort 2016/10/6
//Copyright (c) 2016 just_sort.All Rights Reserved
//
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
typedef long long LL;
int digit[20];
LL dp[20][20][5];
LL dfs(int l,int pre,int flag,bool jud)
{
if(l == 0) return 1;
if(!jud && dp[l][pre][flag]!=-1) return dp[l][pre][flag];
int nex = jud?digit[l]:9;
LL ret = 0;
for(int i = 0; i <= nex; i++){
int news;
if(flag==1&&i==0) news = 1;
else if(flag==1||(flag==2&&pre==i)) news = 2;
else if(flag==2) news = pre>i?3:4;
else{
if(flag==3&&i>pre) continue;
if(flag==4&&i<pre) continue;
else news = flag;
}
ret += dfs(l-1,i,news,jud&&(i==nex));
}
if(!jud) dp[l][pre][flag]=ret;
return ret;
}
LL f(LL num)
{
int pos = 0;
while(num){
digit[++pos] = num%10;
num /= 10;
}
return dfs(pos,0,1,1);
}
int main()
{
memset(dp,-1,sizeof(dp));
int T;
scanf("%d",&T);
while(T--)
{
LL l,r;
scanf("%lld%lld",&l,&r);
printf("%lld\n",f(r)-f(l-1));
}
return 0;
}