题目链接
题解
题意
给出十个技能,每个技能需要有三个元素才能释放,其中三个元素可以任意排列。玩家手中最多存储三个元素,若想获取新的元素则需要放掉最开始的时候获得的元素,释放某个技能需要使用一个R
和三个对应的元素。假定玩家拥有无限个R
且R
不占位置。
给出一个技能数组,求所需最少的元素数量。
思路
动态规划!
每个技能有三个元素,三个元素可以构成六个排列,利用这六个排列进行动态规划,找到所需最少的元素数量后加上每次释放技能时要用的R
,即为所求。
注意该题多组输入。
AC代码
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<cstdlib>
#include<string>
#include<queue>
#include<map>
#include<stack>
#include<list>
#include<set>
#include<deque>
#include<vector>
#include<ctime>
using namespace std;
//#pragma GCC optimize(2)
#define IO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0)
#define ull unsigned long long
#define ll long long
#define rep(i, x, y) for(int i=x;i<=y;i++)
#define mms(x, n) memset(x, n, sizeof(x))
/// mms中使用 0x3f 可以使得其初始化为INF
#define mmc(A, tree) memcpy(A, tree, sizeof(tree))
#define eps (1e-8)
#define PI (acos(-1.0))
#define INF (0x3f3f3f3f)
#define mod (ll)(1e9+7)
typedef pair<int, int> P;
int const N = 1e6 + 10;
char in[N];
char ch[20][12][10] = {
{
"QQQ", "QQQ", "QQQ", "QQQ", "QQQ", "QQQ"},
{
"QQW", "QWQ", "WQQ", "QQW", "QWQ", "WQQ"},
{
"QQE", "QEQ", "EQQ", "QQE", "QEQ", "EQQ"},
{
"WWW", "WWW", "WWW", "WWW", "WWW", "WWW"},
{
"QWW", "WQW", "WWQ", "QWW", "WWQ", "WQW"},
{
"WWE", "EWW", "WEW", "WWE", "WEW", "EWW"},
{
"EEE", "EEE", "EEE", "EEE", "EEE", "EEE"},
{
"QEE", "EQE", "EEQ", "QEE", "EEQ", "EQE"},
{
"WEE", "EWE", "EEW", "EEW", "EWE", "WEE"},
{
"QWE", "WQE", "WEQ", "QEW", "EQW", "EWQ"},
};
int dp[N][10];
map<char, int> mp;
int check(int now, int init, int pos_now, int pos_init) {
if (ch[init][pos_init][0] == ch[now][pos_now][0] && ch[init][pos_init][1] == ch[now][pos_now][1] && ch[init][pos_init][2] == ch[now][pos_now][2]) return 0;
else if (ch[init][pos_init][1] == ch[now][pos_now][0] && ch[init][pos_init][2] == ch[now][pos_now][1]) return 1;
else if (ch[init][pos_init][2] == ch[now][pos_now][0]) return 2;
else return 3;
}
int main() {
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
#endif
mp['Y'] = 0;
mp['V'] = 1;
mp['G'] = 2;
mp['C'] = 3;
mp['X'] = 4;
mp['Z'] = 5;
mp['T'] = 6;
mp['F'] = 7;
mp['D'] = 8;
mp['B'] = 9;
while (scanf("%s", in) != EOF){
int n = strlen(in);
mms(dp, 0x3f);
for (int i = 0; i < 6; i++) dp[0][i] = 3;
for (int i = 1; i < n; i++) {
for (int j = 0; j < 6; j++) {
for (int k = 0; k < 6; k++) {
dp[i][j] = min(dp[i][j], dp[i - 1][k] + check(mp[in[i]], mp[in[i - 1]], j, k));
}
}
}
int ans = dp[n-1][0];
for (int i = 0; i < 6; i++) {
ans = min(ans, dp[n - 1][i]);
}
printf("%d\n", ans + n);
}
return 0;
}