Submission #1016121

#TimeUsernameProblemLanguageResultExecution timeMemory
1016121ByeWorldGrowing Vegetable is Fun 3 (JOI19_ho_t3)C++14
100 / 100
271 ms166352 KiB
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
#define ll long long
#define int long long
#define pb push_back
#define fi first
#define se second
#define lf (id<<1)
#define rg ((id<<1)|1)
#define md ((l+r)/2)
#define ld long double
using namespace std;
typedef pair<int,int> pii;
typedef pair<pii, int> ipii;
const int MAXN = 410;
const int MAXA = 1e6+10;
const int INF = 1e9+10;
// const int INF2 = 1e18+10;
const int LOG = 19;
const int MOD = 1e9+7;
const int SQRT = 450;
const vector<int> NOL = {};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const vector<int> dx = {1, -1, 0, 0};
const vector<int> dy = {0, 0, 1, -1};
void chmn(int &a, int b){ a = min(a, b); }
void chmx(int &a, int b){ a = max(a, b); }

int n;
string s;
int a[MAXN], siz[3];
int dp[MAXN][MAXN][MAXN][3];
vector <int> vec[3];

signed main(){
    cin >> n;
    cin >> s; s = '.'+s;
    vec[0].pb(-1); vec[1].pb(-1); vec[2].pb(-1);
    for(int i=1; i<=n; i++){
        if(s[i]=='R') a[i] = 0;
        else if(s[i]=='G') a[i] = 1;
        else a[i] = 2; // 'Y'
        vec[a[i]].pb(i);
    }
    for(int i=0; i<=2; i++) siz[i] = vec[i].size()-1;
    for(int i=0; i<=siz[0]; i++)
        for(int j=0; j<=siz[1]; j++)
            for(int k=0; k<=siz[2]; k++)
                for(int p=0; p<=2; p++) dp[i][j][k][p] = INF;

    for(int i=0; i<=2; i++) dp[0][0][0][i] = 0;

    for(int idx=1; idx<=n; idx++){
        for(int x=0; x<=idx; x++){
            for(int y=0; y<=idx-x; y++){
                int z = idx-x-y;
                if(x>siz[0] || y>siz[1] || z>siz[2]) continue;
                int cost = INF;
                if(x!=0){ // ambil X
                    int id = vec[0][x];
                    int yi = lower_bound(vec[1].begin(), vec[1].end(), id) - vec[1].begin() - 1;
                    int zi = lower_bound(vec[2].begin(), vec[2].end(), id) - vec[2].begin() - 1;
                    id += y-min(y,yi); id += z-min(z,zi);
                    cost = abs(x+y+z - id);
                    chmn(dp[x][y][z][0], min(dp[x-1][y][z][1], dp[x-1][y][z][2])+cost);
                }
                if(y!=0){
                    int id = vec[1][y];
                    int xi = lower_bound(vec[0].begin(), vec[0].end(), id) - vec[0].begin() - 1;
                    int zi = lower_bound(vec[2].begin(), vec[2].end(), id) - vec[2].begin() - 1;
                    id += x-min(x,xi); id += z-min(z,zi);
                    cost = abs(x+y+z - id);
                    chmn(dp[x][y][z][1], min(dp[x][y-1][z][0], dp[x][y-1][z][2])+cost);
                }
                if(z!=0){
                    int id = vec[2][z];
                    int xi = lower_bound(vec[0].begin(), vec[0].end(), id) - vec[0].begin() - 1;
                    int yi = lower_bound(vec[1].begin(), vec[1].end(), id) - vec[1].begin() - 1;
                    id += x-min(x,xi); id += y-min(y,yi);
                    cost = abs(x+y+z - id);
                    chmn(dp[x][y][z][2], min(dp[x][y][z-1][0], dp[x][y][z-1][1])+cost);
                }
                // cout << x << ' ' << y << ' ' << z << " xyz\n";
                // for(int i=0; i<3; i++){
                //     cout << i << ' ' << dp[x][y][z][i] << " dp\n";
                // }
            }
        }
    }
    int ANS = min(min(dp[siz[0]][siz[1]][siz[2]][0], dp[siz[0]][siz[1]][siz[2]][1]), 
        dp[siz[0]][siz[1]][siz[2]][2]);
    cout << (ANS>=INF ? -1 : ANS) << '\n';
}
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