QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#107336#850. Edit Distance Yet AgainSortingAC ✓9339ms60704kbC++205.5kb2023-05-20 23:59:262023-05-20 23:59:29

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-20 23:59:29]
  • 评测
  • 测评结果:AC
  • 用时:9339ms
  • 内存:60704kb
  • [2023-05-20 23:59:26]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
typedef pair < int , int > pii ;
typedef vector < int > vi ;
#define fi first
#define se second
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

const int MAXN = 1e6 + 7 ;
const int MAXK = 1007 ;

int n , m , k ;
string a , b ;
pii dp[ MAXK ][ 2 * MAXK ] , prv[ MAXK ][ 2 * MAXK ] ;

int MOD[ 2 ] = { (ll)1e9 + 7 , 998244353 } ;
int pw[ 2 ][ MAXN ] ;
int base = 27 ;

struct hsh {
    int val[ 2 ] ;
    hsh ( ) { val[ 0 ] = val[ 1 ] = 0 ; }
};

void init ( ) {
    pw[ 0 ][ 0 ] = pw[ 1 ][ 0 ] = 1 ;
    for ( int i = 1 ; i < MAXN ; ++ i ) {
        pw[ 0 ][ i ] = ( 1LL * pw[ 0 ][ i - 1 ] * base ) % MOD[ 0 ] ;
        pw[ 1 ][ i ] = ( 1LL * pw[ 1 ][ i - 1 ] * base ) % MOD[ 1 ] ;
    }
}

hsh pref[ 2 ][ MAXN ] ;

inline hsh get_hash ( int l , int r , int id ) {
    if ( l > r ) { return hsh ( ) ; }
    hsh ret = pref[ id ][ r ] ;
    hsh aux = pref[ id ][ l - 1 ] ;
    aux.val[ 0 ] = ( 1LL * aux.val[ 0 ] * pw[ 0 ][ r - l + 1 ] ) % MOD[ 0 ] ;
    aux.val[ 1 ] = ( 1LL * aux.val[ 1 ] * pw[ 1 ][ r - l + 1 ] ) % MOD[ 1 ] ;
    ret.val[ 0 ] = ( ret.val[ 0 ] + MOD[ 0 ] - aux.val[ 0 ] ) % MOD[ 0 ] ;
    ret.val[ 1 ] = ( ret.val[ 1 ] + MOD[ 1 ] - aux.val[ 1 ] ) % MOD[ 1 ] ;
    return ret ;
}

inline pii extend ( int x , int y ) {
    int l , r , mid ;
    l = 0 , r = min ( n - x , m - y ) ;
    while ( l < r ) {
        mid = ( l + r + 1 ) / 2 ;
        hsh aux1 = get_hash ( x + 1 , x + mid , 0 ) ;
        hsh aux2 = get_hash ( y + 1 , y + mid , 1 ) ;
        if ( aux1.val[ 0 ] == aux2.val[ 0 ] && aux1.val[ 1 ] == aux2.val[ 1 ] ) { l = mid ; }
        else { r = mid - 1 ; }
    }
    return { x + l , y + l } ;
}

void solve ( ) {
    cin >> n >> m >> k ;
    cin >> a >> b ;
    if ( abs ( n - m ) > k ) {
        cout << "NO\n" ;
        return ;
    }
    for ( int i = 1 ; i <= n ; ++ i ) {
        pref[ 0 ][ i ] = pref[ 0 ][ i - 1 ] ;
        pref[ 0 ][ i ].val[ 0 ] = ( 1LL * base * pref[ 0 ][ i ].val[ 0 ] + ( a[ i - 1 ] - 'a' + 1 ) ) % MOD[ 0 ] ;
        pref[ 0 ][ i ].val[ 1 ] = ( 1LL * base * pref[ 0 ][ i ].val[ 1 ] + ( a[ i - 1 ] - 'a' + 1 ) ) % MOD[ 1 ] ;
    }
    for ( int i = 1 ; i <= m ; ++ i ) {
        pref[ 1 ][ i ] = pref[ 1 ][ i - 1 ] ;
        pref[ 1 ][ i ].val[ 0 ] = ( 1LL * base * pref[ 1 ][ i ].val[ 0 ] + ( b[ i - 1 ] - 'a' + 1 ) ) % MOD[ 0 ] ;
        pref[ 1 ][ i ].val[ 1 ] = ( 1LL * base * pref[ 1 ][ i ].val[ 1 ] + ( b[ i - 1 ] - 'a' + 1 ) ) % MOD[ 1 ] ;
    }
    for ( int i = 0 ; i <= k + 1 ; ++ i ) {
        for ( int j = MAXK - k ; j <= MAXK + k ; ++ j ) {
            dp[ i ][ j ] = prv[ i ][ j ] = { -1 , -1 } ;
        }
    }
    dp[ 0 ][ MAXK ] = extend ( 0 , 0 ) ;
    for ( int lvl = 0 ; lvl < k ; ++ lvl ) {
        if ( dp[ lvl ][ n - m + MAXK ].fi == n ) { break ; }
        for ( int diff = -k ; diff <= k ; ++ diff ) {
            if ( dp[ lvl ][ diff + MAXK ].fi == -1 ) { continue ; }
            auto [ x , y ] = dp[ lvl ][ diff + MAXK ] ;
            {
                if ( x + 1 <= n && diff < k ) { 
                    auto [ nx , ny ] = extend ( x + 1 , y ) ;
                    if ( dp[ lvl + 1 ][ diff + MAXK + 1 ] < make_pair ( nx , ny ) ) {
                        dp[ lvl + 1 ][ diff + MAXK + 1 ] = { nx , ny } ;
                        prv[ lvl + 1 ][ diff + MAXK + 1 ] = { -1 , x + 1 } ;
                    }
                }
            }
            {
                if ( y + 1 <= m && diff > -k ) {
                    auto [ nx , ny ] = extend ( x , y + 1 ) ;
                    if ( dp[ lvl + 1 ][ diff + MAXK - 1 ] < make_pair ( nx , ny ) ) {
                        dp[ lvl + 1 ][ diff + MAXK - 1 ] = { nx , ny } ;
                        prv[ lvl + 1 ][ diff + MAXK - 1 ] = { 1 , x + 1 } ;
                    }
                }
            }
            {
                if ( x + 1 <= n && y + 1 <= m ) {
                    auto [ nx , ny ] = extend ( x + 1 , y + 1 ) ;
                    if ( dp[ lvl + 1 ][ diff + MAXK ] < make_pair ( nx , ny ) ) {
                        dp[ lvl + 1 ][ diff + MAXK ] = { nx , ny } ;
                        prv[ lvl + 1 ][ diff + MAXK  ] = { 0 , x + 1 } ;
                    }
                }
            }
        }
    }
    int act = n - m ;
    for ( int i = 0 ; i <= k ; ++ i ) {
        if ( dp[ i ][ act + MAXK ].fi == n ) {
            cout << "YES\n" ;
            cout << i << "\n" ;
            int x = n , y = m , hh = i ;
            while ( x > 0 || y > 0 ) {
                if ( prv[ hh ][ x - y + MAXK ].fi != 1 && prv[ hh ][ x - y + MAXK ].se != x ) {
                    -- x , -- y ;
                    continue ;
                }
                if ( prv[ hh ][ x - y + MAXK ].fi == 1 && prv[ hh ][ x - y + MAXK ].se != x + 1 ) {
                    -- x , -- y ;
                    continue ; 
                }
                if ( prv[ hh ][ x - y + MAXK ].fi == -1 ) {
                    cout << "DELETE " << x << "\n" ;
                    -- x ;
                }
                else if ( prv[ hh ][ x - y + MAXK ].fi == 0 ) {
                    cout << "REPLACE " << x << " " << b[ y - 1 ] << "\n" ;
                    -- x , -- y ;
                }
                else {
                    cout << "INSERT " << x + 1 << " " << b[ y - 1 ] << "\n" ;
                    -- y ;
                }
                -- hh ;
            }
            return ;
        }
    }
    cout << "NO\n" ;
}


int main ( ) {
    ios_base :: sync_with_stdio ( false ) ;
    cin.tie ( NULL ) ;
    init ( ) ;
    int t = 1 ; cin >> t ;
    while ( t -- ) { solve ( ) ; }
    return 0 ;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 13ms
memory: 26932kb

input:

2
3 4 3
kot
plot
5 7 3
zycie
porazka

output:

YES
2
REPLACE 1 l
INSERT 1 p
NO

result:

ok OK!

Test #2:

score: 0
Accepted
time: 32ms
memory: 27988kb

input:

100
100 100 0
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
16 7 100
vvvvvvvvvvvvvvvv
qydopaq
37 33 43
ggggggggggggggggggggggggggggggggggggg
osk...

output:

YES
0
YES
16
DELETE 16
DELETE 15
DELETE 14
DELETE 13
DELETE 12
DELETE 11
DELETE 10
DELETE 9
DELETE 8
REPLACE 7 q
REPLACE 6 a
REPLACE 5 p
REPLACE 4 o
REPLACE 3 d
REPLACE 2 y
REPLACE 1 q
YES
28
DELETE 37
DELETE 36
DELETE 35
DELETE 34
REPLACE 33 o
REPLACE 32 o
REPLACE 31 a
REPLACE 30 a
REPLACE 27 p
REP...

result:

ok OK!

Test #3:

score: 0
Accepted
time: 6408ms
memory: 58468kb

input:

100
3211 3185 685
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww...

output:

YES
552
DELETE 3211
DELETE 3210
DELETE 3209
DELETE 3208
DELETE 3207
DELETE 3206
DELETE 3205
DELETE 3204
DELETE 3203
DELETE 3202
DELETE 3201
DELETE 3200
DELETE 3199
DELETE 3198
DELETE 3197
DELETE 3196
DELETE 3195
DELETE 3194
DELETE 3193
DELETE 3192
DELETE 3191
DELETE 3190
DELETE 3189
DELETE 3188
DELE...

result:

ok OK!

Test #4:

score: 0
Accepted
time: 7597ms
memory: 60432kb

input:

5
999000 998976 995
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll...

output:

YES
894
DELETE 999000
DELETE 998999
DELETE 998998
DELETE 998997
DELETE 998996
DELETE 998995
DELETE 998994
DELETE 998993
DELETE 998992
DELETE 998991
DELETE 998990
DELETE 998989
DELETE 998988
DELETE 998987
DELETE 998986
DELETE 998985
DELETE 998984
DELETE 998983
DELETE 998982
DELETE 998981
DELETE 99898...

result:

ok OK!

Test #5:

score: 0
Accepted
time: 9339ms
memory: 60704kb

input:

5
999000 998971 1000
lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll...

output:

NO
NO
NO
NO
NO

result:

ok OK!

Test #6:

score: 0
Accepted
time: 2119ms
memory: 60164kb

input:

5
1000000 1000000 1000
faafaffaaffafaafaffafaaffaafaffaaffafaaffaafaffafaafaffaaffafaafaffafaaffaafaffafaafaffaaffafaaffaafaffaaffafaafaffafaaffaafaffaaffafaaffaafaffafaafaffaaffafaaffaafaffaaffafaafaffafaaffaafaffafaafaffaaffafaafaffafaaffaafaffaaffafaaffaafaffafaafaffaaffafaafaffafaaffaafaffafaafa...

output:

YES
246
DELETE 2049
REPLACE 2046 a
DELETE 2043
DELETE 2039
DELETE 2037
DELETE 2031
DELETE 2029
DELETE 2027
DELETE 2025
DELETE 2015
DELETE 2013
DELETE 2011
DELETE 2009
DELETE 2007
DELETE 2005
DELETE 2003
DELETE 2001
DELETE 1953
REPLACE 1950 a
DELETE 1947
INSERT 1942 f
REPLACE 1938 a
INSERT 1937 f
DEL...

result:

ok OK!

Test #7:

score: 0
Accepted
time: 7667ms
memory: 60244kb

input:

5
999900 999925 992
ejqwvowvntrtmokrfeqeybcvgsupftozhkdsyytrioxrzbahikexefgyhpwbcztcydqiibxukojvgedldgmjufkzwttpvftctkpajgpwiklfzrkjxzsltqdbfdyxqpswrrlkdbmwckbhbfpqqgnhcixcnmphjulyykqfvdrqsdskbxqlqvekhwmvzmtqannmxrjgqcpdpofmqozyicaiqjikqxkeolandjydgvtjhnzubpdtkxymaxffnopnnrpnedobnfljcvtqwmuxdctutidm...

output:

YES
938
INSERT 999192 g
DELETE 999157
REPLACE 998754 g
INSERT 998259 b
INSERT 998188 g
DELETE 998145
REPLACE 997378 t
DELETE 997088
INSERT 994695 t
REPLACE 993971 b
DELETE 990472
REPLACE 988552 t
DELETE 987640
DELETE 985945
DELETE 985429
DELETE 983806
INSERT 983299 t
REPLACE 981534 g
INSERT 978807 t...

result:

ok OK!