Submission #1293264

#TimeUsernameProblemLanguageResultExecution timeMemory
1293264TymondGrowing Vegetable is Fun 3 (JOI19_ho_t3)C++20
100 / 100
416 ms772328 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

struct pair_hash{
  size_t operator()(const pair<int,int>&x)const{
    return hash<long long>()(((long long)x.first)^(((long long)x.second)<<32));
  }
}; 

const int MAXN = 407;
const int INF = 1e9;
int suf[MAXN][3];
int dp[MAXN][3][MAXN][MAXN];//pozycja, ostatni kolor, ile0, ile1
vi Pos[3];
int A[MAXN];
int n;
string s;

int countInv(int pos, int nkol, int c0, int c1, int c2){
    //cerr << nkol << ' ' << sz(Pos[nkol]) << ' ' << c0 << ' ' << c1 << ' ' << c2 << ' ' << pos << '\n';
    int pre = Pos[nkol][(nkol == 0 ? c0 : (nkol == 1 ? c1 : c2))];
    int ret = 0;
    for(int i = 0; i < 3; i++){
        if(i == nkol){
            continue;
        }

        ret += max(0, -(suf[1][i] - suf[pre][i] - (i == 0 ? c0 : (i == 1 ? c1 : c2))));
    }
    return ret;
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
        
    cin >> n;
    cin >> s;
    for(int i = 1; i <= n; i++){
        if(s[i - 1] == 'R'){
            A[i] = 1;
        }else if(s[i - 1] == 'G'){
            A[i] = 2;
        }
        Pos[A[i]].pb(i);
    }

    for(int i = n; i >= 1; i--){
        for(int j = 0; j < 3; j++){
            for(int i1 = 0; i1 <= n; i1++){
                for(int i2 = 0; i2 <= n; i2++){
                    dp[i][j][i1][i2] = INF;
                }
            }
            suf[i][j] = suf[i + 1][j];
            if(A[i] == j){
                suf[i][j]++;
            }
        }
    }

    for(int i = 0; i < n; i++){
        for(int c = 0; c < 3; c++){
            for(int c0 = 0; c0 <= suf[1][0]; c0++){
                for(int c1 = 0; c1 <= suf[1][1]; c1++){
                    if(dp[i][c][c0][c1] == INF || i < c0 + c1){
                        continue;
                    }

                    for(int cn = 0; cn < 3; cn++){
                        if(i > 0 && cn == c){
                            continue;
                        }
                        if(cn == 0 && c0 + 1 > suf[1][0]){
                            continue;
                        }
                        if(cn == 1 && c1 + 1 > suf[1][1]){
                            continue;
                        }
                        if(cn == 2 && i - c0 - c1 + 1 > suf[1][2]){
                            continue;
                        }
                        dp[i + 1][cn][c0 + (cn == 0)][c1 + (cn == 1)] = min(dp[i + 1][cn][c0 + (cn == 0)][c1 + (cn == 1)], dp[i][c][c0][c1] + countInv(i + 1, cn, c0, c1, i - c0 - c1));
                    }
                }
            }
        }
    }

    int ans = min({dp[n][0][suf[1][0]][suf[1][1]], dp[n][1][suf[1][0]][suf[1][1]], dp[n][2][suf[1][0]][suf[1][1]]});
    if(ans >= INF){
        cout << "-1\n";
    }else{
        cout << ans << '\n';
    }

    return 0;
}
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