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POJ1175:Starry Night(bfs)
http://poj.org/problem?id=1175
题目解析:
这个题因为数据的原因可以很水的过,但我因为把1e-8写成了1e-9WA了N遍,一直WA,题目意思很简单就是相似图形(就是求旋转的图形,我不会,但在discuss中看到
可以通过求图形的长度来求)另外常识性问题double数据类型不能直接比较相等,需要借助一个小数比较,那个比较的小数题目一般会提示,例如这题就是1e-8,另外就是
这题的数据是在是忒坑了!
#include <iostream>#include <stdio.h>#include <string.h>#include <stdlib.h>#include <algorithm>#include <queue>#include <math.h>#define MIN 1e-8using namespace std;int map[102][102];char ff[102][102];int n,m,tt,v[102][102];struct node{ int x,y;};int sum[501];double dis[501];struct node1{ int x,y;} s[501];int jx[]= {1,1,1,0,0,-1,-1,-1};int jy[]= {-1,0,1,-1,1,-1,0,1};void bfs(int xx,int yy){ memset(v,0,sizeof(v)); queue<node>q; struct node t,f; int l=0; s[l].x=xx; s[l++].y=yy; t.x=xx; t.y=yy; v[t.x][t.y]=1; q.push(t); while(!q.empty()) { t=q.front(); q.pop(); for(int i=0; i<8; i++) { f.x=t.x+jx[i]; f.y=t.y+jy[i]; if(map[f.x][f.y]&&v[f.x][f.y]==0&&f.x>=0&&f.x<n&&f.y>=0&&f.y<m) { s[l].x=f.x; s[l++].y=f.y; v[f.x][f.y]=1; q.push(f); } } } double count=0; for(int i=0; i<l; i++) { for(int j=0; j<l; j++) { count=count+sqrt((s[i].x-s[j].x)*(s[i].x-s[j].x)*1.0+(s[i].y-s[j].y)*(s[i].y-s[j].y)*1.0); } } int flag=0; for(int i=0; i<tt; i++) { if(sum[i]==l&&fabs(dis[i]-count)<MIN) { ff[xx][yy]=i+‘a‘; flag=1; } } if(flag==0) { ff[xx][yy]=tt+‘a‘; dis[tt]=count; sum[tt]=l; tt++; }}int main(){ char str; while(scanf("%d%d",&m,&n)!=EOF) { tt=0; for(int i=0; i<n; i++) { getchar(); for(int j=0; j<m; j++) { scanf("%c",&str);//不知道为什么不能直接输入map[i][j],基础知识太渣了 ff[i][j]=str; map[i][j]=str-‘0‘; } } for(int i=0; i<n; i++) { for(int j=0; j<m; j++) { if(map[i][j]) bfs(i,j); } } for(int i=0; i<n; i++) { for(int j=0; j<m; j++) { printf("%c",ff[i][j]); } printf("\n"); } } return 0;}
Description
High up in the night sky, the shining stars appear in clusters of various shapes. A cluster is a non-empty group of neighbouring stars, adjacent in horizontal, vertical or diagonal direction. A cluster cannot be a part of a larger cluster.
Clusters may be similar. Two clusters are similar if they have the same shape and number of stars, irrespective of their orientation. In general, the number of possible orientations for a cluster is eight, as Figure 1 exemplifies.
The night sky is represented by a sky map, which is a two-dimensional matrix of 0‘s and 1‘s. A cell contains the digit 1 if it has a star, and the digit 0 otherwise.
Given a sky map, mark all the clusters with lower case letters. Similar clusters must be marked with the same letter; non-similar clusters must be marked with different letters. You mark a cluster with a lower case letter by replacing every 1 in the cluster by that lower case letter. The order of allocation of letters depends on the first appearance of different clusters, from top to bottom and from left to right.
Clusters may be similar. Two clusters are similar if they have the same shape and number of stars, irrespective of their orientation. In general, the number of possible orientations for a cluster is eight, as Figure 1 exemplifies.
The night sky is represented by a sky map, which is a two-dimensional matrix of 0‘s and 1‘s. A cell contains the digit 1 if it has a star, and the digit 0 otherwise.
Given a sky map, mark all the clusters with lower case letters. Similar clusters must be marked with the same letter; non-similar clusters must be marked with different letters. You mark a cluster with a lower case letter by replacing every 1 in the cluster by that lower case letter. The order of allocation of letters depends on the first appearance of different clusters, from top to bottom and from left to right.
Input
Your program is to read from standard input. The first two lines contain, respectively, the width W and the height H of a sky map. The sky map is given in the following H lines, of W characters each.
0 <= W (width of the sky map) <= 100
0 <= H (height of the sky map) <= 100
0 <= Number of clusters <= 500
0 <= Number of non-similar clusters <= 26 (a..z)
1 <= Number of stars per cluster <= 160
0 <= W (width of the sky map) <= 100
0 <= H (height of the sky map) <= 100
0 <= Number of clusters <= 500
0 <= Number of non-similar clusters <= 26 (a..z)
1 <= Number of stars per cluster <= 160
Output
Your program is to write to standard output. The output contains the same map as the input, except that the clusters are marked as described above.
Sample Input
2315100010000000000100000000111110001111100010110101000000010001000111111000000000101010001011110000011101000100000000000001001011111000000000100000010000000000000000010100000011111001000000001000000100010011111000000011101010101000100000010011010001000000000010001110111110000000001000011100000001000000000100010000100010010100000001110001000111000
Sample Output
a000a0000000000b00000000aaaaa000ccccc000d0dd0d0a0000000c000c000dddddd000000000c0b0c000d0dddd00000eee0c000c0000000000000e00e0ccccc000000000b000000e00000000000000000b0f000000ccccc00a00000000f000000c000c00aaaaa0000000ddd0c0b0c0a000a000000b00dd0c000c0000000000g000ddd0ccccc000000000g0000ddd0000000e000000000b000d0000f000e00e0b0000000ddd000f000eee000
Hint
Just to make it clearer, notice that this sample input corresponds to the following picture of the sky.
Notice that this sample output corresponds to the following picture.
Notice that this sample output corresponds to the following picture.
Source
IOI 1998
POJ1175:Starry Night(bfs)
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