懒癌晚期学图论的时候自己用C语言写了个求可达性矩阵的算法~
可达性矩阵算法~
直接上代码
#include <iostream>
#include <cstring>
using namespace std;
#define n 5
void print(int a[n][n]);
void print1(int a[n][n]);
void multiply(int a[n][n],int b[n][n],int c[n][n]);
void add(int a[n][n],int b[n][n]);
int main(){
int a[n][n],b[n][n],c[n][n],d[n][n];
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
cin>>a[i][j];
b[i][j] = a[i][j];
d[i][j] = a[i][j];
}
}cout<<"A:"<<endl;
print(a);
for(int i = 0;i<n-1;i++){
cout<<"A"<<i+2<<":"<<endl;
if(i%2){
memset(a,0,sizeof(a));
multiply(c,b,a);
add(d,a);
print(a);
}else{
memset(c,false,sizeof(c));
multiply(a,b,c);
add(d,c);
print(c);
}
}
cout<<"R:"<<endl;
print(d);
cout<<"P:"<<endl;
print1(d);
}
void multiply(int a[n][n],int b[n][n],int c[n][n]){
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
for(int k = 0;k<n;++k){
c[i][j] = c[i][j]+(a[i][k]*b[k][j]);
}
}
}
}void print(int a[n][n]){
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
cout<<a[i][j]<<(j<n-1?" ":"");
}cout<<endl;
}
}
void add(int a[n][n],int b[n][n]){
for(int i=0;i<n;++i){
for(int j=0;j<n;++j){
a[i][j]=a[i][j]+b[i][j];
}
}
}void print1(int a[n][n]){
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
cout<<(a[i][j]?1:0)<<(j<n-1?" ":"");
}cout<<endl;
}
}
结果图
布尔型
#include <iostream>
#include <cstring>
using namespace std;
#define n 5
void print(bool a[n][n]);
void multiply(bool a[n][n],bool b[n][n],bool c[n][n]);
void add(bool a[n][n],bool b[n][n]);
int main(){
bool a[n][n],b[n][n],c[n][n],d[n][n];
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
cin>>a[i][j];
b[i][j] = a[i][j];
d[i][j] = a[i][j];
}
}cout<<"A:"<<endl;
print(a);
for(int i = 0;i<n-1;i++){
cout<<"A"<<i+2<<":"<<endl;
if(i%2){
memset(a,false,sizeof(a));
multiply(c,b,a);
add(d,a);
print(a);
}else{
memset(c,false,sizeof(c));
multiply(a,b,c);
add(d,c);
print(c);
}
}
cout<<"P:"<<endl;
print(d);
}
void multiply(bool a[n][n],bool b[n][n],bool c[n][n]){
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
for(int k = 0;k<n;++k){
c[i][j] = c[i][j]||(a[i][k]&&b[k][j]);
}
}
}
}void print(bool a[n][n]){
for(int i = 0;i<n;++i){
for(int j = 0;j<n;++j){
cout<<a[i][j]<<(j<n-1?" ":"");
}cout<<endl;
}
}
void add(bool a[n][n],bool b[n][n]){
for(int i=0;i<n;++i){
for(int j=0;j<n;++j){
a[i][j]=a[i][j]||b[i][j];
}
}
}
其实就是把乘和加的地方改一改就好了!