Vijos P1063 迎春舞会之交谊舞 DP

题目链接:https://vijos.org/p/1063

题意:有n(n <= 100)行,每行有2*i-1个可显字符'#'与'-',组成一个倒三角形,问由'-'组成的最大三角形的'-'的个数为多少?

思路:顶点为倒三角,即行列奇偶相同;对于一个顶点可以扩展的最大边长首先需要上面三角为'-',这样只需建立在顶点上一行的左右两个点的最大边长即可;

三角形个数就是边长的平方;

ps:开始我想的是从列的角度看轴线的左右两边的min,然后模拟行。真是醉了。

#include<iostream>
#include<cstdio>
#include<cstring>
#include<string.h>
#include<algorithm>
#include<vector>
#include<cmath>
#include<stdlib.h>
#include<time.h>
#include<stack>
#include<set>
#include<map>
#include<queue>
using namespace std;
#define rep0(i,l,r) for(int i = (l);i < (r);i++)
#define rep1(i,l,r) for(int i = (l);i <= (r);i++)
#define rep_0(i,r,l) for(int i = (r);i > (l);i--)
#define rep_1(i,r,l) for(int i = (r);i >= (l);i--)
#define MS0(a) memset(a,0,sizeof(a))
#define MS1(a) memset(a,-1,sizeof(a))
#define MSi(a) memset(a,0x3f,sizeof(a))
#define inf 0x3f3f3f3f
#define lson l, m, rt << 1
#define rson m+1, r, rt << 1|1
typedef pair<int,int> PII;
#define A first
#define B second
#define MK make_pair
typedef __int64 ll;
template<typename T>
void read1(T &m)
{
    T x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
    m = x*f;
}
template<typename T>
void read2(T &a,T &b){read1(a);read1(b);}
template<typename T>
void read3(T &a,T &b,T &c){read1(a);read1(b);read1(c);}
template<typename T>
void out(T a)
{
    if(a>9) out(a/10);
    putchar(a%10+'0');
}
char c[110][210];
int d[110][220];
int main()
{
    int n;
    read1(n);
    rep1(i,1,n)
        gets(c[i]+1);
    int len = 2*n,ans = 0;
    rep0(i,1,len){
        if(c[1][i] == '-'){ d[1][i] = 1;ans = 1;}
    }
    rep1(i,2,n){
        rep1(j,i,len-i)
            if(c[i][j] == '-'){
                d[i][j] = 1;
                if((i&1) == (j&1) && c[i-1][j]  == '-' && c[i-1][j-1]  == '-' && c[i-1][j+1]  == '-')
                    d[i][j] = min(d[i-1][j+1]+1,d[i-1][j-1]+1);
                ans = max(ans,d[i][j]);
            }
    }
    printf("%d
",ans*ans);
    return 0;
}
原文地址:https://www.cnblogs.com/hxer/p/5294810.html