CF 1215 D Ticket Game (博弈)
Posted yokel062
tags:
篇首语:本文由小常识网(cha138.com)小编为大家整理,主要介绍了CF 1215 D Ticket Game (博弈)相关的知识,希望对你有一定的参考价值。
链接:https://codeforces.com/problemset/problem/1215/D
Monocarp and Bicarp live in Berland, where every bus ticket consists of nn digits (nn is an even number). During the evening walk Monocarp and Bicarp found a ticket where some of the digits have been erased. The number of digits that have been erased is even.
Monocarp and Bicarp have decided to play a game with this ticket. Monocarp hates happy tickets, while Bicarp collects them. A ticket is considered happy if the sum of the first n2n2 digits of this ticket is equal to the sum of the last n2n2 digits.
Monocarp and Bicarp take turns (and Monocarp performs the first of them). During each turn, the current player must replace any erased digit with any digit from 00 to 99. The game ends when there are no erased digits in the ticket.
If the ticket is happy after all erased digits are replaced with decimal digits, then Bicarp wins. Otherwise, Monocarp wins. You have to determine who will win if both players play optimally.
The first line contains one even integer nn (2≤n≤2⋅105)(2≤n≤2⋅105) — the number of digits in the ticket.
The second line contains a string of nn digits and "?" characters — the ticket which Monocarp and Bicarp have found. If the ii-th character is "?", then the ii-th digit is erased. Note that there may be leading zeroes. The number of "?" characters is even.
If Monocarp wins, print "Monocarp" (without quotes). Otherwise print "Bicarp" (without quotes).
#include <bits/stdc++.h> using namespace std; const int maxn=2e5+5; int n; char s[maxn]; int ls, rs, x, y; int main() scanf("%d", &n); scanf("%s", s+1); for(int i=1; i<=n/2; i++) if(s[i]==‘?‘) x++; else ls+=s[i]-‘0‘; for(int i=n/2+1; i<=n; i++) if(s[i]==‘?‘) y++; else rs+=s[i]-‘0‘; if(ls<rs) swap(ls, rs); swap(x, y); if(ls==rs) printf("%s\\n", x==y? "Bicarp":"Monocarp"); else if(x>=y) printf("Monocarp\\n"); else printf("%s\\n", (y-x)%2==0 && ls-rs==(y-x)/2*9? "Bicarp":"Monocarp"); return 0;
以上是关于CF 1215 D Ticket Game (博弈)的主要内容,如果未能解决你的问题,请参考以下文章