Daily Training: BFS && DFS
First, the Los Valley P1118: digital triangle
A look at the subject that this is a DFS
but the beginning TLE three points. . . . .
Read bigwigs of problem solutions and found: I go, is not that Pascal's Triangle do, you can use Pascal's Triangle pretreatment ah
so there will be the following code:
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<iostream>
#include<set>
#include<vector>
#include<map>
#include<queue>
#define INF 0x3f3f3f3f
#define ll long long
using namespace std;
int n,sum;
int f[15][15];
int num[15];
int vis[15];
int flag;
void print(){
printf("%d",num[1]);
for(int i=2;i<=n;i++){
printf(" %d",num[i]);
}
cout<<endl;
return ;
}
void dfs(int step,int ans){
if(ans>sum||flag)
return ;
if(ans==sum&&step==n+1){
flag=1;
print();
return ;
}
for(int i=1;i<=n;i++){
if(vis[i]==0){
num[step]=i;
vis[i]=1;
dfs(step+1,ans+i*f[n][step]);
vis[i]=0;
}
}
}
int main(){
scanf("%d%d",&n,&sum);
f[1][1]=1;
for(int i=2;i<=n;i++){
for(int j=1;j<=i;j++){
f[i][j]=f[i-1][j]+f[i-1][j-1];
}
}
memset(vis,0,sizeof(vis));
flag=0;
dfs(1,0);
return 0;
}
Second, Luo Valley P1434: Skiing
Is a search problem, began to feel have to use memory search , or search violence, will definitely TLE
but still do not know where to start, or less entitled to do, or else this will not, behind only the code below
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<iostream>
#include<set>
#include<vector>
#include<map>
#include<queue>
#define INF 0x3f3f3f3f
#define ll long long
using namespace std;
int n,m;
int mp[110][110];
int dis[110][110]; //记忆化搜索
int dir[4][2]={-1,0,0,1,1,0,0,-1};
int dfs(int x,int y){
if(dis[x][y]!=1)
return dis[x][y];
int b=0;
for(int k=0;k<4;k++){
int fx=x+dir[k][0];
int fy=y+dir[k][1];
if(mp[x][y]>mp[fx][fy])
b=max(b,dfs(fx,fy));
}
dis[x][y]=max(dis[x][y],b+1);
return dis[x][y];
}
int main(){
scanf("%d%d",&n,&m);
for(int i=1;i<=n;i++){
for(int j=1;j<=m;j++){
scanf("%d",&mp[i][j]);
dis[i][j]=1;
}
}
int maxdis=0;
for(int i=1;i<=n;i++){
for(int j=1;j<=m;j++){
maxdis=max(maxdis,dfs(i,j));
}
}
//getchar();
printf("%d\n",maxdis);
//getchar();
return 0;
}
Third, the Los Valley P1433: eat cheese
Began to read the title, I do not know why the first thought is that BFS, is it due to the minimum distance? ?
Is a DFS, this problem does nothing start thinking, after reading the solution to a problem found that if the rate of a distance pretreatment look like it, this feels a bit unexpected. . . .
#include<cstdio>
#include<cstring>
#include<cmath>
#include<string>
#include<algorithm>
#include<iostream>
#include<set>
#include<vector>
#include<map>
#include<queue>
#define INF 0x3f3f3f3f
#define ll long long
using namespace std;
int n;
double x[20],y[20];
int vis[20];
double dis[20][20];
double ans=99999999.0;
void dfs(int i,int now,double len){
if(len>ans){
return ;
}
if(i==n){
ans=min(ans,len);
return ;
}
for(int k=1;k<=n;k++){
if(vis[k]==0){
vis[k]=1;
dfs(i+1,k,len+dis[now][k]);
vis[k]=0;
}
}
}
int main(){
scanf("%d",&n);
for(int i=1;i<=n;i++){
scanf("%lf%lf",&x[i],&y[i]);
}
x[0]=0,y[0]=0;
for(int i=0;i<=n;i++){
for(int j=0;j<=n;j++){
dis[i][j]=sqrt((x[i]-x[j])*(x[i]-x[j])+(y[i]-y[j])*(y[i]-y[j]));
}
}
memset(vis,0,sizeof(vis));
dfs(0,0,0.0);
//getchar();
printf("%.2f\n",ans);
//getchar();
return 0;
}
Fourth, the Los Valley P1074: target-shaped Sudoku
A bit difficult, to be completed ...