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  • codeforces 599B Spongebob and Joke

    B. Spongebob and Joke

     
     

    While Patrick was gone shopping, Spongebob decided to play a little trick on his friend. The naughty Sponge browsed through Patrick's personal stuff and found a sequence a1, a2, ..., am of length m, consisting of integers from 1 to n, not necessarily distinct. Then he picked some sequence f1, f2, ..., fn of length n and for each number ai got number bi = fai. To finish the prank he erased the initial sequence ai.

    It's hard to express how sad Patrick was when he returned home from shopping! We will just say that Spongebob immediately got really sorry about what he has done and he is now trying to restore the original sequence. Help him do this or determine that this is impossible.

    Input

    The first line of the input contains two integers n and m (1 ≤ n, m ≤ 100 000) — the lengths of sequences fi and bi respectively.

    The second line contains n integers, determining sequence f1, f2, ..., fn (1 ≤ fi ≤ n).

    The last line contains m integers, determining sequence b1, b2, ..., bm (1 ≤ bi ≤ n).

    Output

    Print "Possible" if there is exactly one sequence ai, such that bi = fai for all i from 1 to m. Then print m integers a1, a2, ..., am.

    If there are multiple suitable sequences ai, print "Ambiguity".

    If Spongebob has made a mistake in his calculations and no suitable sequence ai exists, print "Impossible".

    Sample test(s)
    Input
    3 3
    3 2 1
    1 2 3
    Output
    Possible
    3 2 1
    Input
    3 3
    1 1 1
    1 1 1
    Output
    Ambiguity
    Input
    3 3
    1 2 1
    3 3 3
    Output
    Impossible
    Note

    In the first sample 3 is replaced by 1 and vice versa, while 2 never changes. The answer exists and is unique.

    In the second sample all numbers are replaced by 1, so it is impossible to unambiguously restore the original sequence.

    In the third sample fi ≠ 3 for all i, so no sequence ai transforms into such bi and we can say for sure that Spongebob has made a mistake.

     1 #include<cstdio>
     2 #include<algorithm>
     3 using namespace std;
     4 const int maxn=1000005;
     5 int vis[maxn][2],a[maxn],ans[maxn];
     6 int main()
     7 {
     8     int m,n;
     9     scanf("%d%d",&n,&m);
    10     for(int i=1;i<=n;i++)
    11     {
    12         scanf("%d",&a[i]);
    13         if(vis[a[i]][0])
    14         {
    15             vis[a[i]][1]=1;//vis[a[i][1]用来标记这个数已经出现过
    16             continue;
    17         }
    18         vis[a[i]][0]=i;
    19     }
    20     int key=1;
    21     for(int i=0;i<m;i++)
    22     {
    23         int t;
    24         scanf("%d",&t);
    25         if(vis[t][0])
    26         {
    27             if(vis[t][1])
    28                 key=2;
    29             ans[i]=vis[t][0];
    30         }
    31         else
    32         {
    33             key=0;
    34             break;
    35         }
    36     }
    37     if(!key)
    38         puts("Impossible");
    39     else if(key==2)
    40         puts("Ambiguity");
    41     else
    42     {
    43         puts("Possible");
    44         for(int i=0;i<m;i++)
    45             printf("%d ",ans[i]);
    46     }
    47     return 0;
    48 }
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  • 原文地址:https://www.cnblogs.com/homura/p/4988061.html
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