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Submission #256132

# Submission time Handle Problem Language Result Execution time Memory
256132 2020-08-02T10:12:10 Z muhammad_hokimiyon Lamps (JOI19_lamps) C++14
0 / 100
 1000 ms 82608 KB 
#include <bits/stdc++.h>

//#pragma GCC optimize("Ofast")

#define fi first
#define se second
#define ll long long
#define dl double long

using namespace std;

const int NN = 1e9 + 7;
const int N = 1e6 + 7;
const int M = 4;
const ll mod = 1e9 + 7;
const int inf = 1e9 + 7;
const dl rf = 1e-14;
const int B = sqrt(N);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int n;
string s,b;
int f[N][4];
int d[N][M][M];
map < pair < pair < int , int > , int > , int > m;

void solve1()
{
    cin >> n >> s >> b;
    s = '#' + s;
    b = '#' + b;
    for( int i = 0; i <= n; i++ ){
        for( int j = 0; j < M; j++ ){
            for( int h = 0; h < M; h++ ){
                d[i][j][h] = 1e9;
            }
        }
    }
    for( int i = 1; i <= n; i++ ){
        f[i][1] = f[i - 1][1] + (b[i] == '0');
        f[i][2] = f[i - 1][2] + (b[i] == '1');
        f[i][3] = f[i - 1][3] + (b[i] != s[i]);
    }
    d[0][0][0] = 0;
    //m[{ {1 , 2} , 3 }] = 1;
    //m[{ {2 , 1} , 3 }] = 1;
    m[{ {3 , 1} , 2 }] = 1;
    m[{ {3 , 2} , 1 }] = 1;
    for( int i = 1; i <= n; i++ ){
        for( int j = 0; j < M; j++ ){
            if( b[i] == '0' ){
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][1] - f[m - 1][1] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h <= 3; h++ ){
                    d[i][j][1] = min( d[i][j][1] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  1}] );
                }
            }
            if( s[i] == b[i] ){
                for( int h = 0; h < M; h++ ){
                    d[i][j][0] = min( d[i][j][0] , d[i - 1][h][j] );
                }
            }else{
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][3] - f[m - 1][3] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h < M; h++ ){
                    d[i][j][3] = min( d[i][j][3] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  3}] );
                    if( i == 8 && j == 1 ){
                        //cout << l << " " << h << " " << j << " " << 3 << " " << d[l - 1][h][j] << "\n";
                    }
                }
            }
            if( b[i] == '1' ){
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][2] - f[m - 1][2] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h < M; h++ ){
                    d[i][j][2] = min( d[i][j][2] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  2}] );
                }
            }
           // cout << i << " " << j << " " << d[i][j][0] << " " << d[i][j][1] << " " << d[i][j][2] << " "
           //  << d[i][j][3] << "\n";
        }
    }
    int ans = 1e9;
    for( int i = 0; i <= 3; i++ ){
        for( int j = 0; j <= 3; j++ ){
            ans = min( ans , d[n][i][j] );
        }
    }
    for( int i = 0; i <= n; i++ ){
        for( int j = 0; j < M; j++ ){
            for( int h = 0; h < M; h++ ){
                d[i][j][h] = 1e9;
            }
        }
    }
    for( int i = 1; i <= n; i++ ){
        f[i][1] = f[i - 1][1] + (b[i] == '0');
        f[i][2] = f[i - 1][2] + (b[i] == '1');
        f[i][3] = f[i - 1][3] + (b[i] != s[i]);
    }
    d[0][0][0] = 0;
    m[{ {1 , 2} , 3 }] = 1;
    m[{ {2 , 1} , 3 }] = 1;
    m[{ {3 , 1} , 2 }] = 0;
    m[{ {3 , 2} , 1 }] = 0;
    for( int i = 1; i <= n; i++ ){
        for( int j = 0; j <= 3; j++ ){
            if( b[i] == '0' ){
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][1] - f[m - 1][1] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h <= 3; h++ ){
                    d[i][j][1] = min( d[i][j][1] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  1}] );
                }
            }
            if( s[i] == b[i] ){
                for( int h = 0; h <= 3; h++ ){
                    d[i][j][0] = min( d[i][j][0] , d[i - 1][h][j] );
                }
            }else{
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][3] - f[m - 1][3] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h <= 3; h++ ){
                    d[i][j][3] = min( d[i][j][3] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  3}] );
                    if( i == 8 && j == 1 ){
                        //cout << l << " " << h << " " << j << " " << 3 << " " << d[l - 1][h][j] << "\n";
                    }
                }
            }
            if( b[i] == '1' ){
                int l = 1 , r = i;
                while( l < r ){
                    int m = (l + r) / 2;
                    if( f[i][2] - f[m - 1][2] == i - m + 1 )r = m;
                    else l = m + 1;
                }
                for( int h = 0; h <= 3; h++ ){
                    d[i][j][2] = min( d[i][j][2] , d[l - 1][h][j] + 1 - m[{{ h , j } ,  2}] );
                }
            }
           // cout << i << " " << j << " " << d[i][j][0] << " " << d[i][j][1] << " " << d[i][j][2] << " "
           //  << d[i][j][3] << "\n";
        }
    }
    cout << ans;
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    //freopen( "input.txt" , "r" , stdin );
    //freopen( "output.txt" , "w" , stdout );

    int cghf = 1;//cin >> cghf;
    while( cghf-- ){
        solve1();
    }
}

Subtask #1
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Incorrect 1 ms 384 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #2
0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Incorrect 1 ms 384 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 829 ms 80580 KB Output is correct
8 Execution timed out 1084 ms 82608 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #4
0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Incorrect 1 ms 384 KB Output isn't correct
17 Halted 0 ms 0 KB -