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  • HDU

    题意:求一个区间内,满足连续的奇数长度是偶数,连续的偶数长度是奇数的数的个数。

    #include<cstdio>
    #include<cstring>
    #include<cstdlib>
    #include<cctype>
    #include<cmath>
    #include<iostream>
    #include<sstream>
    #include<iterator>
    #include<algorithm>
    #include<string>
    #include<vector>
    #include<set>
    #include<map>
    #include<stack>
    #include<deque>
    #include<queue>
    #include<list>
    #define lowbit(x) (x & (-x))
    const double eps = 1e-9;
    inline int dcmp(double a, double b){
        if(fabs(a - b) < eps) return 0;
        return a > b ? 1 : -1;
    }
    typedef long long LL;
    typedef unsigned long long ULL;
    const int INT_INF = 0x3f3f3f3f;
    const int INT_M_INF = 0x7f7f7f7f;
    const LL LL_INF = 0x3f3f3f3f3f3f3f3f;
    const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f;
    const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1};
    const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1};
    const int MOD = 1e9 + 7;
    const double pi = acos(-1.0);
    const int MAXN = 20 + 10;
    const int MAXT = 10000 + 10;
    using namespace std;
    int digit[MAXN];
    LL dp[MAXN][2][MAXN];
    LL dfs(int pos, int pre, int len, bool leadingzero, bool limit){//pos--当前位,pre--更高一位的数是奇还是偶,len--连续长度,leadingzero--是否有前导零,limit--当前位的数字是否有限制
        if(!pos) return (pre & 1) != (len & 1);
        if(!limit && dp[pos][pre][len] != -1) return dp[pos][pre][len];
        LL ans = 0;
        int up = limit ? digit[pos] : 9;
        for(int i = 0; i <= up; ++i){
            if(leadingzero){
                if(i == 0){
                    ans += dfs(pos - 1, 0, 0, true, limit && i == up);
                }
                else{
                    ans += dfs(pos - 1, i & 1, 1, false, limit && i == up);
                }
            }
            else{
                if(i & 1){
                    if(pre & 1){
                        ans += dfs(pos - 1, i & 1, len + 1, false, limit && i == up);
                    }
                    else{
                        if(len & 1){//若当前位是奇数,前一位是偶数,且已经有奇数长度的偶数,则可以继续延伸
                            ans += dfs(pos - 1, i & 1, 1, false, limit && i == up);
                        }
                    }
                }
                else{
                    if(pre & 1){
                        if(!(len & 1)){
                            ans += dfs(pos - 1, i & 1, 1, false, limit && i == up);
                        }
                    }
                    else{
                        ans += dfs(pos - 1, i & 1, len + 1, false, limit && i == up);
                    }
                }
            }
        }
        if(!limit) dp[pos][pre][len] = ans;
        return ans;
    }
    LL solve(LL x){
        int cnt = 0;
        while(x){
            digit[++cnt] = x % 10;
            x /= 10;
        }
        return dfs(cnt, 0, 0, true, true);
    }
    int main(){
        int T;
        scanf("%d", &T);
        int kase = 0;
        memset(dp, -1, sizeof dp);
        while(T--){
            LL L, R;
            scanf("%lld%lld", &L, &R);
            printf("Case #%d: %lld
    ", ++kase, solve(R) - solve(L - 1));
        }
        return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/tyty-Somnuspoppy/p/7154261.html
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