Submission #1082466

#	Time	Username	Problem	Language	Result	Execution time	Memory
1082466		phong	Lamps (JOI19_lamps)	C++17	100 / 100	268 ms	167376 KiB

lamp

#include<bits/stdc++.h>

#define ll long long
const int nmax = 1e6 + 5, N = 1e5;
const ll oo = 1e18 + 1, base = 311;
const int lg = 15, M = 10;
const ll mod = 998244353, mod2 = 1e9 + 5277;
#define pii pair<int, int>
#define fi first
#define se second
#define endl "\n"
#define debug(a, n) for(int i = 1; i <= n; ++i) cout << a[i] << ' '; cout << "\n";
using namespace std;

int n;
string a, b;
int dp[nmax][20 + 1][2];
int deg[nmax];
struct node{
    int f[3];
}one[nmax];
int sz = 0, g[nmax], stu[nmax];
int F[2][100];
void add(vector<int> &v){
    ++sz;
    g[sz] = v.size();
    if(v.size() >= 1) one[sz].f[0] = v[0];
    if(v.size() >= 2) one[sz].f[1] = v[1];
    if(v.size() >= 3) one[sz].f[2] = v[2];
    int res = 0;
    for(int i = 0; i < 3; ++i){
        res = res * 10 + one[sz].f[i];
    }
    stu[sz] = res;
    deg[res] = sz;
    for(int x = 0; x < 2; ++x){
        int id = x;
        for(int i = 0; i < 3; ++i){
            if(one[sz].f[i] == 1) id = 0;
            if(one[sz].f[i] == 2) id = 1;
            if(one[sz].f[i] == 3) id ^= 1;
        }
        F[x][sz] = id;
    }
}
int val[nmax];
vector<int> v;
void update(int m){
    v.clear();
    for(int i = 1; i <= m; ++i) v.push_back(val[i]);
    do{
        add(v);
    }
    while(next_permutation(v.begin(), v.end()));
}
void calc(int i){
    for(int j = val[i - 1] + 1; j <= 3; ++j){
        val[i] = j;
        update(i);
        if(i < 3) calc(i + 1);

    }
}
vector<pii> adj[100], gg[100];
main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
//    freopen("code.inp", "r", stdin);
//    freopen("code.out", "w", stdout);
    cin >> n;
    cin >> a;
    cin >> b;
    a = ' ' + a;
    b = ' ' + b;
    memset(dp, 0x3f, sizeof dp);
    dp[0][0][0] = 0;
    calc(1);
    for(int i = 0; i <= sz; ++i){
        for(int j = 0; j <= sz; ++j){
            if(g[i] + g[j] <= 3){
                bool ok = 1;
                for(int x = 0; x < 3; ++x){
                    if(!one[i].f[x]) break;
                    bool idx = 0;
                    for(int y = 0; y < 3; ++y){
                        if(!one[j].f[y])break;
                        if(one[i].f[x] == one[j].f[y]) idx = 1;
                    }
                    ok &= idx;
                }
                if(ok){
                    adj[i].push_back({j, g[j] - g[i]});
                }

            }
        }
        int res = 0;
        gg[i].push_back({0, 0});
        int p = -1;
        for(int x = 0; x < 3; ++x){
            if(!one[i].f[x]) break;
            p = x + 1;
        }
        if(p != -1){
            for(int msk = 1; msk < (1 << p); ++msk){
                int res = 0,cnt =3;
                for(int j = 0; j < p; ++j){
                    if(msk >> j & 1){
                        cnt--;
                        res = res * 10 + one[i].f[j];
                    }
                }
                while(cnt > 0){
                    res *= 10;
                    --cnt;
                }
                gg[i].push_back({deg[res], 0});
            }
        }
    }
//    for(int msk = 0; msk )
    F[0][0] =0, F[1][0] = 1;
    for(int i = 0; i < n;++i){
        int x;
        if(i == 0) x = 0;
        else x = b[i] - '0';
        for(int msk = 0; msk <= sz; ++msk){
            for(auto [new_msk, cost] : gg[msk]){
                dp[i][new_msk][x] = min(dp[i][new_msk][x], dp[i][msk][x] + cost);
            }
        }
        for(int msk = sz; msk >= 0; --msk){
            for(auto [new_msk, cost] : adj[msk]){
                dp[i][new_msk][x] = min(dp[i][new_msk][x], dp[i][msk][x] + cost);
            }
        }

        for(int msk = 0; msk <= sz; ++msk){
            int y = a[i + 1] - '0';
            int id = F[y][msk];
            dp[i + 1][msk][id] = min(dp[i + 1][msk][id], dp[i][msk][x]);
        }
    }
    int ans = 1e9;
    for(int msk = 0; msk <= sz; ++msk) ans = min(ans, dp[n][msk][b[n]-'0']);
    cout << ans;
}
/*
10
1111001110
1010100111


*/

Compilation message (stderr)

lamp.cpp:65:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   65 | main(){
      | ^~~~
lamp.cpp: In function 'int main()':
lamp.cpp:97:13: warning: unused variable 'res' [-Wunused-variable]
   97 |         int res = 0;
      |             ^~~

• Subtask 1: 6 / 6
• Subtask 2: 41 / 41
• Subtask 3: 4 / 4
• Subtask 4: 49 / 49