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codeforces 472C. Design Tutorial: Make It Nondeterministic

2018年04月24日 ⁄ 综合 ⁄ 共 2469字 ⁄ 字号 评论关闭
time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

A way to make a new task is to make it nondeterministic or probabilistic. For example, the hard task of Topcoder SRM 595, Constellation, is the probabilistic version of a convex hull.

Let's try to make a new task. Firstly we will use the following task. There are n people, sort them by their name. It is just an ordinary sorting problem,
but we can make it more interesting by adding nondeterministic element. There are n people, each person will use either his/her first name or last name
as a handle. Can the lexicographical order of the handles be exactly equal to the given permutation p?

More formally, if we denote the handle of the i-th person as hi,
then the following condition must hold: .

Input

The first line contains an integer n (1 ≤ n ≤ 105) —
the number of people.

The next n lines each contains two strings. The i-th
line contains strings fi and si (1 ≤ |fi|, |si| ≤ 50) —
the first name and last name of the i-th person. Each string consists only of lowercase English letters. All of the given 2n strings
will be distinct.

The next line contains n distinct integers: p1, p2, ..., pn (1 ≤ pi ≤ n).

Output

If it is possible, output "YES", otherwise output "NO".

Sample test(s)
input
3
gennady korotkevich
petr mitrichev
gaoyuan chen
1 2 3
output
NO
input
3
gennady korotkevich
petr mitrichev
gaoyuan chen
3 1 2
output
YES
input
2
galileo galilei
nicolaus copernicus
2 1
output
YES
input
10
rean schwarzer
fei claussell
alisa reinford
eliot craig
laura arseid
jusis albarea
machias regnitz
sara valestin
emma millstein
gaius worzel
1 2 3 4 5 6 7 8 9 10
output
NO
input
10
rean schwarzer
fei claussell
alisa reinford
eliot craig
laura arseid
jusis albarea
machias regnitz
sara valestin
emma millstein
gaius worzel
2 4 9 6 5 7 1 3 8 10
output
YES
Note

In example 1 and 2, we have 3 people: tourist, Petr and me (cgy4ever). You can see that whatever handle is chosen, I must be the first, then tourist and Petr must be the last.

In example 3, if Copernicus uses "copernicus" as his handle, everything will be alright.

题解

字符串模拟,话说字符串函数很好用的说。

唉!话说那个……题意开始没理解,白扔了很多分。

#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<iostream>
#include<cmath>
#include<algorithm>
using namespace std;
int n,p[100002];
char a[100002][2][55],c[55];
void init()
{
    scanf("%d",&n);
    int i;
    for(i=1;i<=n;i++)
      {scanf("%s%s",a[i][0],a[i][1]);
       if(strcmp(a[i][0],a[i][1])==1)
          {strcpy(c,a[i][0]); strcpy(a[i][0],a[i][1]); strcpy(a[i][1],c);}
      }
    //for(i=1;i<=n;i++) {puts(a[i][0]); puts(a[i][1]);}
    for(i=1;i<=n;i++) scanf("%d",&p[i]);
}
void work()
{
    int i,x=p[1],y=0;
    for(i=2;i<=n;i++)
       {if(strcmp(a[p[i]][1],a[x][y])==-1) {printf("NO\n"); return ;}
        if(strcmp(a[p[i]][0],a[x][y])==1)  {x=p[i]; y=0;}
        else {x=p[i]; y=1;}
       }
    printf("YES\n");
}
int main()
{
    init(); work();
    return 0;
}

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