uva 11967 - Hic-Hac-Hoe

Q   — Hic-Hac-Hoe

Time Limit: 2 sec
Memory Limit: 32 MB

Everybody knows how to play tic-tac-toe. If accidentally you do not know the rules of this game, you can always consult Wikipedia.

In this problem we will use a slightly different version of tic-tac-toe. First, the game board is not limited to 3x3 cells, but considered infinite. Also in order to win a player must get not 3 but at least knoughts or crosses in a line (horizontal, vertical or diagonal).

In modified tic-tac-to version it is not so easy to determine a winner. So in this problem you will be given a list of turns performed by the players during the game and you need to determine the winner.

INPUT

There is a number of tests T (T ≤ 100) on the first line. Each test case is described by the two numbers n k (n ≤ 105k ≤ 5), where n stands for number of turns for both players and k for winning line size. Next line contains n pairs of signed 32-bit integers x y — coordinates of each players turn. All turns have been performed sequentially by both players and crosses have always started a game.

OUTPUT

For each test case output a single line "Case T: S". Where T is the test case number (starting from 1) and Sis equal to "crosses" or "noughts" if one of them has a winning line. If nobody yet has won a game output"none" and if both players have winning lines output "error" for "S".

SAMPLE INPUT

2
3 2
0 0 1 1 1 0
4 2
0 0 -1 0 1 1 -1 1

SAMPLE OUTPUT

Case 1: crosses
Case 2: error
Problem by: Aleksej Viktorchik; Leonid Sislo

Huge Easy Contest #2


水题一道,在无限大的棋盘上玩hic-hac-hoe,用map存,然后枚举每个点,最多八个方向拓展k步。

#include <cstdio>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <iostream>
#include <stack>
#include <set>
#include <cstring>
#include <stdlib.h>
#include <cmath>
using namespace std;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 100 + 5;

int n, k;
map<P, int> M;
vector<P> v;

bool judge(int x, int y){
    int kind = M[P(x, y)];
    // right
    int tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x+i;
        int ty = y;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    // left
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x-i;
        int ty = y;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //up
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x;
        int ty = y+i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //down
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x;
        int ty = y-i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //right up
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x+i;
        int ty = y+i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //left up
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x-i;
        int ty = y+i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //right down
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x+i;
        int ty = y-i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    //left down
    tag = 1;
    for(int i = 1;i < k;i++){
        int tx = x-i;
        int ty = y-i;
        if(M.count(P(tx, ty)) == 0 || M[P(tx, ty)] != kind){
            tag = 0;
            break;
        }
    }
    if(tag) return true;

    return false;
}


int main(){
    int t, kase = 0;
    scanf("%d", &t);
    while(t--){
        kase++;
        scanf("%d%d", &n, &k);
        M.clear();
        v.clear();
        for(int i = 0;i < n;i++){
            int x, y;
            scanf("%d%d", &x, &y);
            M[P(x, y)] = i%2;
            v.push_back(P(x, y));
        }

        int tagc = 0, tagn = 0;
        for(int i = 0;i < n;i++){
            if(judge(v[i].first, v[i].second)){
                if(i%2 == 0) tagc = 1;
                else tagn = 1;
            }
        }
        printf("Case %d: ", kase);
        if(tagc == 1 && tagn == 1){
            printf("error\n");
        }
        else if(tagc == 0 && tagn == 0){
            printf("none\n");
        }
        else if(tagc == 1){
            printf("crosses\n");
        }
        else{
            printf("noughts\n");
        }
    }
    return 0;
}


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