Brackets sequence UVA - 1626(区间dp)
2017-08-09 00:19
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紫书278页的题目,纪念一下坑比的输入格式,实在是无语了;
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
using namespace std;
const int maxn = 100 + 5;
char S[maxn];
int n, d[maxn][maxn];
bool match(char a, char b) {
return (a == '(' && b == ')') || (a == '[' && b == ']');
}
void dp() {
for(int i = 0; i < n; i++) {
d[i+1][i] = 0;
d[i][i] = 1;
}
for(int k=2; k<=n; k++)
{
for(int i=0; i<=n-k; i++)
{
int j = i+k-1;
d[i][j] = n;
if(match(S[i], S[j])) d[i][j] = min(d[i][j], d[i+1][j-1]);
for(int w=i; w<=j-1; w++)
d[i][j] = min(d[i][j], d[i][w] + d[w+1][j]);
}
}
}
void print(int i, int j) {
if(i > j) return ;
if(i == j) {
if(S[i] == '(' || S[i] == ')') printf("()");
else printf("[]");
return;
}
int ans = d[i][j];
if(match(S[i], S[j]) && ans == d[i+1][j-1]) {
printf("%c", S[i]); print(i+1, j-1); printf("%c", S[j]);
return;
}
for(int k = i; k < j; k++)
if(ans == d[i][k] + d[k+1][j]) {
print(i, k); print(k+1, j);
return;
}
}
int main() {
int T;
scanf("%d", &T);
getchar();
while(T--) {
//gets(S);
getchar();
gets(S);
n = strlen(S) ;//- 1;
//cout << n << endl;
memset(d, -1, sizeof(d));
dp();
print(0, n-1);
printf("\n");
if(T) printf("\n");
}
return 0;
}
水波....
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
using namespace std;
const int maxn = 100 + 5;
char S[maxn];
int n, d[maxn][maxn];
bool match(char a, char b) {
return (a == '(' && b == ')') || (a == '[' && b == ']');
}
void dp() {
for(int i = 0; i < n; i++) {
d[i+1][i] = 0;
d[i][i] = 1;
}
for(int k=2; k<=n; k++)
{
for(int i=0; i<=n-k; i++)
{
int j = i+k-1;
d[i][j] = n;
if(match(S[i], S[j])) d[i][j] = min(d[i][j], d[i+1][j-1]);
for(int w=i; w<=j-1; w++)
d[i][j] = min(d[i][j], d[i][w] + d[w+1][j]);
}
}
}
void print(int i, int j) {
if(i > j) return ;
if(i == j) {
if(S[i] == '(' || S[i] == ')') printf("()");
else printf("[]");
return;
}
int ans = d[i][j];
if(match(S[i], S[j]) && ans == d[i+1][j-1]) {
printf("%c", S[i]); print(i+1, j-1); printf("%c", S[j]);
return;
}
for(int k = i; k < j; k++)
if(ans == d[i][k] + d[k+1][j]) {
print(i, k); print(k+1, j);
return;
}
}
int main() {
int T;
scanf("%d", &T);
getchar();
while(T--) {
//gets(S);
getchar();
gets(S);
n = strlen(S) ;//- 1;
//cout << n << endl;
memset(d, -1, sizeof(d));
dp();
print(0, n-1);
printf("\n");
if(T) printf("\n");
}
return 0;
}
水波....
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