洛谷 P2119 魔法阵 题解

Analysis

这道题也是考试题,我也依然打了个n三次方暴力。正解是先枚举差,再枚举c和d,a和b用乘法原理优化,这样就能大大减少时间。

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<algorithm>
 5 #define max_n 50010
 6 using namespace std;
 7 int n,m,maxn=0,minn=99999999;
 8 int a[max_n],book[max_n],ansa[max_n],ansb[max_n],ansc[max_n],ansd[max_n];
 9 inline int read() 
10 {
11     int x=0;
12     bool f=1;
13     char c=getchar();
14     for(; !isdigit(c); c=getchar()) if(c=='-') f=0;
15     for(; isdigit(c); c=getchar()) x=(x<<3)+(x<<1)+c-'0';
16     if(f) return x;
17     return 0-x;
18 }
19 inline void write(int x)
20 {
21     if(x<0){putchar('-');x=-x;}
22     if(x>9)write(x/10);
23     putchar(x%10+'0');
24 }
25 int main()
26 {
27     n=read();m=read();
28     for(int i=1;i<=m;i++)
29     {
30         a[i]=read();
31         book[a[i]]++;
32     }
33     for(int cha=1;cha*9<n;cha++)
34     {
35         int sum=0;
36         for(int d=9*cha+2;d<=n;d++)
37         {
38             int a=d-9*cha-1;
39             int b=a+2*cha;
40             int c=d-cha;
41             sum+=book[a]*book[b];
42             ansc[c]+=sum*book[d];
43             ansd[d]+=sum*book[c];
44         }
45         sum=0;
46         for(int a=n-9*cha;a>=1;a--)
47         {
48             int b=a+2*cha;
49             int c=b+6*cha+1;
50             int d=c+cha;
51             sum+=book[c]*book[d];
52             ansa[a]+=sum*book[b];
53             ansb[b]+=sum*book[a];
54         }
55     }
56     for(int i=1;i<=m;i++)
57     {
58         printf("%d %d %d %d
",ansa[a[i]],ansb[a[i]],ansc[a[i]],ansd[a[i]]);
59     }
60     return 0;
61 }
请各位大佬斧正(反正我不认识斧正是什么意思)
原文地址:https://www.cnblogs.com/handsome-zyc/p/11264391.html