URL: http://acm.zju.edu.cn/show_problem.php?pid=1067
Problem:
A color reduction is a mapping from a set of discrete colors to a smaller one. The solution to this problem requires that you perform just such a mapping in a standard twenty-four bit RGB color space. The input consists of a target set of sixteen RGB color values, and a collection of arbitrary RGB colors to be mapped to their closest color in the target set. For our purposes, an RGB color is defined as an ordered triple (R,G,B) where each value of the triple is an integer from 0 to 255. The distance between two colors is defined as the Euclidean distance between two three-dimensional points. That is, given two colors (R1,G1,B1) and (R2,G2,B2), their distance D is given by the equation.
The input file is a list of RGB colors, one color per line, specified as three integers from 0 to 255 delimited by a single space. The first sixteen colors form the target set of colors to which the remaining colors will be mapped. The input is terminated by a line containing three -1 values.
Output:
For each color to be mapped, output the color and its nearest color from the target set.
Example Input:
0 0 0
255 255 255
0 0 1
1 1 1
128 0 0
0 128 0
128 128 0
0 0 128
126 168 9
35 86 34
133 41 193
128 0 128
0 128 128
128 128 128
255 0 0
0 1 0
0 0 0
255 255 255
253 254 255
77 79 134
81 218 0
-1 -1 -1
Example Output:
(0,0,0) maps to (0,0,0)
(255,255,255) maps to (255,255,255)
(253,254,255) maps to (255,255,255)
(77,79,134) maps to (128,128,128)
(81,218,0) maps to (126,168,9)
My Solution: (C++, GCC)
Compare each remaining color with first sixteen ones, and determine the pair which has the shortest distance. Then output the latter.
#include <iostream>
// PS: The code is for study purpose only, never submit it as ones own.
// From: [url=http://blog.csdn.net/mskia/]http://blog.csdn.net/mskia/http://blog.csdn.net/mskia/
// email: ichobits@21cn.com
struct rgb {
int r;
int g;
int b;
};
int main(void) {
rgb base[16];
rgb *endp = base + 15;
for (rgb *p = base; p <= endp; ++p) {
std::cin >> p->r >> p->g >> p->b;
}
rgb *mp = base;
rgb color;
while (std::cin >> color.r >> color.g >> color.b
&& !(color.r == -1 && color.g == -1 && color.b == -1)) {
long r = 195075; // (255 * 255) * 3
for (rgb *p = base; p <= endp; ++p) {
long tr = (p->r - color.r) * (p->r - color.r)
+ (p->g - color.g) * (p->g - color.g)
+ (p->b - color.b) * (p->b - color.b);
if (tr < r) {
r = tr;
mp = p;
if (tr == 0) {
break;
}
}
}
std::cout << '(' << color.r << ',' << color.g << ',' << color.b << ')'
<< " maps to "
<< '(' << mp->r << ',' << mp->g << ',' << mp->b << ')'
<< std::endl;
}
return 0;
}
