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Re: terminate a PHP script [message #172598 is a reply to message #172595] Tue, 22 February 2011 02:45 Go to previous messageGo to previous message
n00m is currently offline  n00m
Messages: 25
Registered: February 2011
Karma:
Junior Member
The same Assignment Problem (hungarian algorithm):
====================================================

#include <stdio.h>
#include <stdlib.h>
#include <algorithm>
#include <time.h>

#define N 100
int res_sum;
int res_table[N][N];
int v[N][N], u[N][N], cross[N][N];
int row[N], col[N];
int rowround[N], colround[N];
int userow[N];
int vmax = 0;
size_t n;

void pivot() {
int umin;
size_t i, j;
for (i = 0; i < n; ++i)
for (j = 0; j < n; ++j)
vmax = std::max(vmax, v[i][j]);
for (i = 0; i < n; ++i)
for (j = 0; j < n; ++j)
u[i][j] = v[i][j];
for (i = 0; i < n; ++i) {
umin = u[i][0];
for (j = 1; j < n; ++j)
umin = std::min(umin, u[i][j]);
for (j = 0; j < n; ++j)
u[i][j] -= umin;
}
for (j = 0; j < n; ++j) {
umin = u[0][j];
for (i = 1; i < n; ++i)
umin = std::min(umin, u[i][j]);
for (i = 0; i < n; ++i)
u[i][j] -= umin;
}
}

void mark() {
size_t i, j;
for (i = 0; i < n; ++i)
for (j = 0; j < n; ++j)
cross[i][j] = 0;
for (i = 0; i < n; ++i)
row[i] = col[i] = 0;
for (i = 0; i < n; ++i)
for (j = 0; j < n; ++j)
if (u[i][j] == 0)
if (row[i] == 0 && col[j] == 0) {
cross[i][j] = 1;
row[i] = col[j] = 1;
}
else
cross[i][j] = -1;
}

int findcouple(size_t k) {
size_t i, j = 0;
while (cross[k][j] != 1) ++j;
for (i = 0; i < n; ++i)
if (cross[i][j] == -1 && !userow[i]) {
if (!row[i]) {
row[i] = 1;
cross[i][j] = 1;
cross[k][j] = -1;
return 1;
}
else {
userow[i] = 1;
if (findcouple(i)) {
cross[i][j] = 1;
cross[k][j] = -1;
return 1;
}
}
}
return 0;
}

int upcouple() {
size_t i, j;
for (i = 0; i < n; ++i)
userow[i] = 0;
for (j = 0; j < n; ++j)
if (!col[j])
for (i = 0; i < n; ++i)
if (cross[i][j] == -1) {
userow[i] = 1;
if (findcouple(i)) {
col[j] = 1;
cross[i][j] = 1;
return 1;
}
else
userow[i] = 0;
}
return 0;
}

void maxcouple() {
while (upcouple());
}

int fin() {
for (size_t i = 0; i < n; ++i)
if (!row[i])
return 0;
return 1;
}

void minsupport() {
size_t i, j;
for (i = 0; i < n; ++i)
rowround[i] = colround[i] = 0;
for (i = 0; i < n; ++i)
rowround[i] = 1 - row[i];
bool b = true;
while (b) {
b = false;
for (i = 0; i < n; ++i)
if (rowround[i])
for (j = 0; j < n; ++j)
if (cross[i][j] == -1)
colround[j] = 1;
for (j = 0; j < n; ++j)
if (colround[j])
for (i = 0; i < n; ++i)
if (cross[i][j] == 1 && !rowround[i]) {
b = true;
rowround[i] = 1;
}
}
}

void rotate() {
size_t i, j;
int vmin = vmax;
for (i = 0; i < n; ++i)
if (rowround[i])
for (j = 0; j < n; ++j)
if (!colround[j])
if (vmin > u[i][j])
vmin = u[i][j];
for (i = 0; i < n; ++i)
if (!rowround[i])
for (j = 0; j < n; ++j)
u[i][j] += vmin;
for (j = 0; j < n; ++j)
if (!colround[j])
for (i = 0; i < n; ++i)
u[i][j] -= vmin;
}

void hungarian() {
pivot();
while (true) {
mark();
maxcouple();
if (fin()) break;
minsupport();
rotate();
}
for (size_t i = 0; i < n; ++i) {
for (size_t j = 0; j < n; ++j)
if (cross[i][j] == 1) {
res_table[i][j] = v[i][j];
res_sum += v[i][j];
break;
}
}
}

int main() {
n = 5;
srand(time(NULL));
for (size_t i = 0; i < n; ++i) {
for (size_t j = 0; j < n; ++j) {
v[i][j] = rand() % 100;
col[j] += v[i][j];
printf("%3d", v[i][j]);
}
putchar('\n');
}

hungarian();

putchar('\n');
for (size_t i = 0; i < n; ++i) {
for (size_t j = 0; j < n; ++j) {
printf("%3d", res_table[i][j]);
}
putchar('\n');
}
printf("\nres_sum = %d\n\n", res_sum);
system("pause");
return 0;
}


===================================================
Output:
===================================================

44 79 18 39 70
45 82 84 7 52
71 63 56 55 94
21 67 86 5 67
5 39 67 68 86

0 0 18 0 0
0 0 0 0 52
0 63 0 0 0
0 0 0 5 0
5 0 0 0 0

res_sum = 143

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