POJ3690 Constellations 【KMP】
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 5044 | Accepted: 983 |
Description
The starry sky in the summer night is one of the most beautiful things on this planet. People imagine that some groups of stars in the sky form so-called constellations. Formally a constellation is a group of stars that are connected together to form a figure
or picture. Some well-known constellations contain striking and familiar patterns of bright stars. Examples are Orion (containing a figure of a hunter), Leo (containing bright stars outlining the form of a lion), Scorpius (a scorpion), and Crux (a cross).
In this problem, you are to find occurrences of given constellations in a starry sky. For the sake of simplicity, the starry sky is given as a N × M matrix, each cell of which is a '*' or '0' indicating a star in the corresponding position
or no star, respectively. Several constellations are given as a group of T P × Q matrices. You are to report how many constellations appear in the starry sky.
Note that a constellation appears in the sky if and only the corresponding P × Q matrix exactly matches some P × Q sub-matrix in the N × M matrix.
Input
The input consists of multiple test cases. Each test case starts with a line containing five integers N, M, T, P and Q(1 ≤ N, M ≤ 1000, 1 ≤ T ≤ 100, 1 ≤ P, Q ≤ 50).
The following N lines describe the N × M matrix, each of which contains M characters '*' or '0'.
The last part of the test case describe T constellations, each of which takes P lines in the same format as the matrix describing the sky. There is a blank line preceding each constellation.
The last test case is followed by a line containing five zeros.
Output
For each test case, print a line containing the test case number( beginning with 1) followed by the number of constellations appearing in the sky.
Sample Input
- 3 3 2 2 2
- *00
- 0**
- *00
- **
- 00
- *0
- **
- 3 3 2 2 2
- *00
- 0**
- *00
- **
- 00
- *0
- 0*
- 0 0 0 0 0
Sample Output
- Case 1: 1
- Case 2: 2
题意:给定一个n行m列的01矩阵。再给定t个p行q列的小01矩阵,求这t个小矩阵有多少个在大矩阵中。
题解:这题我用的是KMP,先把矩阵二进制压缩成整型数组,再求整型数组的next数组,再去跟压缩后的大矩阵匹配。遗憾的是TLE了。
。
这题先就这样放着,等以后学了AC自己主动机再试试。
- #include <stdio.h>
- #define maxn 1002
- #define maxm 52
- char bigMap[maxn][maxn], smallMap[maxm][maxm];
- __int64 smallToInt[maxm], hash[maxn][maxn];
- int m, n, t, p, q, next[maxm];
- void toInt64(int i, int j)
- {
- __int64 sum = 0;
- for(int k = 0; k < p; ++k)
- if(bigMap[i + k][j] == '*') sum = sum << 1 | 1;
- else sum <<= 1;
- hash[i][j] = sum;
- }
- void charToHash()
- {
- int i, j, temp = n - p;
- for(i = 0; i <= temp; ++i){
- for(j = 0; j < m; ++j) toInt64(i, j);
- }
- }
- void getNext()
- {
- __int64 sum;
- int i, j;
- for(i = 0; i < q; ++i){
- for(sum = j = 0; j < p; ++j)
- if(smallMap[j][i] == '*') sum = sum << 1 | 1;
- else sum <<= 1;
- smallToInt[i] = sum;
- }
- i = 0; j = -1;
- next[0] = -1;
- while(i < q){
- if(j == -1 || smallToInt[i] == smallToInt[j]){
- ++i; ++j;
- if(smallToInt[i] == smallToInt[j]) next[i] = next[j];
- else next[i] = j; //mode 2
- }else j = next[j];
- }
- }
- bool KMP()
- {
- getNext();
- int i, j, k, temp = n - p;
- for(k = 0; k <= temp; ++k){
- i = j = 0;
- while(i < m && j < q){
- if(j == -1 || hash[k][i] == smallToInt[j]){
- ++i; ++j;
- }else j = next[j];
- }
- if(j == q) return true;
- }
- return false;
- }
- int main()
- {
- // freopen("stdin.txt", "r", stdin);
- int i, j, ans, cas = 1;
- while(scanf("%d%d%d%d%d", &n, &m, &t, &p, &q) != EOF){
- if(m + n + t + p + q == 0) break;
- for(i = 0; i < n; ++i)
- scanf("%s", bigMap[i]);
- charToHash(); ans = 0;
- while(t--){
- for(i = 0; i < p; ++i)
- scanf("%s", smallMap[i]);
- if(KMP()) ++ans;
- }
- printf("Case %d: %d\n", cas++, ans);
- }
- return 0;
- }
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