hdu 5898 odd-even number 数位DP

时间:2021-09-23 04:04:30

传送门:hdu 5898 odd-even number

hdu 5898 odd-even number 数位DP

思路:数位DP,套着数位DP的模板搞一发就可以了不过要注意前导0的处理,dp[pos][pre][status][ze]

pos:当前处理的位

pre:上一位的奇偶性

status:截止到上一位的连续段的奇偶性

ze:是否有前导0

/**************************************************************
Problem:hdu 5898 odd-even number
User: youmi
Language: C++
Result: Accepted
Time:0MS
Memory:1580K
****************************************************************/
//#pragma comment(linker, "/STACK:1024000000,1024000000")
//#include<bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <map>
#include <stack>
#include <set>
#include <sstream>
#include <cmath>
#include <queue>
#include <deque>
#include <string>
#include <vector>
#define zeros(a) memset(a,0,sizeof(a))
#define ones(a) memset(a,-1,sizeof(a))
#define sc(a) scanf("%d",&a)
#define sc2(a,b) scanf("%d%d",&a,&b)
#define sc3(a,b,c) scanf("%d%d%d",&a,&b,&c)
#define scs(a) scanf("%s",a)
#define sclld(a) scanf("%I64d",&a)
#define pt(a) printf("%d\n",a)
#define ptlld(a) printf("%I64d\n",a)
#define rep(i,from,to) for(int i=from;i<=to;i++)
#define irep(i,to,from) for(int i=to;i>=from;i--)
#define Max(a,b) ((a)>(b)?(a):(b))
#define Min(a,b) ((a)<(b)?(a):(b))
#define lson (step<<1)
#define rson (lson+1)
#define eps 1e-6
#define oo 0x3fffffff
#define TEST cout<<"*************************"<<endl
const double pi=*atan(1.0); using namespace std;
typedef long long ll;
template <class T> inline void read(T &n)
{
char c; int flag = ;
for (c = getchar(); !(c >= '' && c <= '' || c == '-'); c = getchar()); if (c == '-') flag = -, n = ; else n = c - '';
for (c = getchar(); c >= '' && c <= ''; c = getchar()) n = n * + c - ''; n *= flag;
}
ll Pow(ll base, ll n, ll mo)
{
ll res=;
while(n)
{
if(n&)
res=res*base%mo;
n>>=;
base=base*base%mo;
}
return res;
}
//*************************** int n;
const int maxn=+;
const ll mod=;
int digit[];
ll dp[][][][];
int tot=;
ll dfs(int pos,int pre,int status,int ze,int limit)
{
if(pos<)
{
if(pre%==&&status%==)
return ;
else if(pre%==&&status%==)
return ;
else
return ;
}
if(!limit&&dp[pos][pre][status][ze]!=-)
return dp[pos][pre][status][ze];
int ed=limit?digit[pos]:;
ll res=;
if(ze)
res+=dfs(pos-,,,,limit&&(==ed));
else
{
if(pre%==)
res+=dfs(pos-,,status^,ze,limit&&(==ed));
else if(pre%==&&status==)
res+=dfs(pos-,,,ze,limit&&(==ed));
}
rep(i,,ed)
{
if(i%&&pre)
res+=dfs(pos-,,status^,,limit&&(i==ed));
else if(i%==&&!pre)
res+=dfs(pos-,,status^,,limit&&(i==ed));
else if(i%&&!pre&&(status==||ze))
res+=dfs(pos-,,,,limit&&(i==ed));
else if(i%==&&pre&&(status==||ze))
res+=dfs(pos-,,,,limit&&(i==ed));
}
if(!limit)
dp[pos][pre][status][ze]=res;
return res;
}
void work(ll num)
{
tot=;
while(num)
{
digit[tot++]=num%;
num/=;
}
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("in.txt","r",stdin);
#endif
int T_T;
scanf("%d",&T_T);
for(int kase=;kase<=T_T;kase++)
{
printf("Case #%d: ",kase);
ll num;
sclld(num);
work(num-);
ones(dp);
ll temp=dfs(tot-,,,,);
sclld(num);
work(num);
ones(dp);
ptlld(dfs(tot-,,,,)-temp);
}
return ;
}