oj.uz

Submission #537742

# Submission time Handle Problem Language Result Execution time Memory
537742 2022-03-15T12:47:32 Z Mahfel Crossing (JOI21_crossing) C++17
100 / 100
 359 ms 25996 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define lt(x) 2*x+1
#define rt(x) 2*x+2
const ll MXN = 2e5 + 20 , PR1 = 19 , PR2 = 31 , MOD1 = 998244353 , MOD2 = 1e9 + 9;
ll po1[MXN] , po2[MXN] , pref1[MXN] , pref2[MXN];
set<pair<ll,ll>> H;
pair<ll,ll> Hash(vector<int> v) {
    ll h1 = 0 , h2 = 0 , p1 = 1 , p2 = 1;
    for(auto x : v) {
        x++;
        h1 += x*p1 % MOD1; h1 %= MOD1;
        h2 += x*p2 % MOD2; h2 %= MOD2;
        p1 *= PR1; p1 %= MOD1;
        p2 *= PR2; p2 %= MOD2;
    }
    return {h1 , h2};
}
vector<int> str[3];
int n,q;
void prep(int c1 , int c2 , int c3) {
    vector<int> res(n);
    for(int i = 0 ; i < n ; i++) {
        res[i] = ((c1*str[0][i]) + (c2*str[1][i]) + (c3*str[2][i])) % 3;
    }
    H.insert(Hash(res));
}
inline ll P(ll a , ll b , ll MOD) {
    ll res = 1;
    while(b > 0) {
        if(b&1) {
            res *= a; res %= MOD;
        }
        a *= a; a %= MOD;
        b >>= 1;
    }
    return res;
}

struct seg_tree {
    int size;
    vector<pair<ll,ll>> hsh;
    vector<int> layZ;
    seg_tree() {
        size = 0;
    }
    void init() {
        size = 1;
        while(size < n) size <<= 1;
        hsh.assign(2*size , {0 , 0});
        layZ.assign(2*size , -1);
    }
    void build(int x , int lx , int rx , vector<int> &v) {
        if(rx-lx == 1) {
            if(lx < n) {
                hsh[x] = {v[lx]+1 , v[lx]+1};
            }
            return;
        }
        int m = (lx+rx)/2;
        build(lt(x) , lx , m , v);
        build(rt(x) , m , rx , v);
        pair<ll,ll> p = hsh[lt(x)] , q = hsh[rt(x)];
        hsh[x].first = (p.first + q.first*po1[m-lx]%MOD1) % MOD1;
        hsh[x].second = (p.second + q.second*po2[m-lx]%MOD2) % MOD2;
    }
    void build(vector<int> &v) {
        build(0 , 0 , size , v);
    }

    void shift(int x , int lx , int rx) {
        if(rx-lx == 1 || layZ[x] == -1) return;
        layZ[lt(x)] = layZ[x];
        layZ[rt(x)] = layZ[x];
    }
    void update(int x , int lx , int rx) {
        if(layZ[x] == -1) return;
        layZ[x]++;
        hsh[x].first = layZ[x] * pref1[rx-lx-1] % MOD1;
        hsh[x].second = layZ[x] * pref2[rx-lx-1] % MOD2;
        layZ[x] = -1;
    }

    void set(int x , int lx , int rx , int l , int r , int k) {
        if(lx >= l && rx <= r) {
            layZ[x] = k;
            shift(x , lx , rx);
            update(x , lx , rx);
            return;
        }
        if(lx >= r || rx <= l) {
            shift(x , lx , rx);
            update(x , lx , rx);
            return;
        }
        shift(x , lx , rx);
        int m = (lx+rx)/2;
        set(lt(x) , lx , m , l , r , k);
        set(rt(x) , m , rx , l , r , k);

        pair<ll,ll> p = hsh[lt(x)] , q = hsh[rt(x)];
        hsh[x].first = (p.first + q.first*po1[m-lx]%MOD1) % MOD1;
        hsh[x].second = (p.second + q.second*po2[m-lx]%MOD2) % MOD2;
        layZ[x] = -1;
    }
    void set(int l , int r , int k) {
        set(0 , 0 , size , l , r , k);
    }

    pair<ll,ll> get(int x , int lx , int rx , int l , int r) {
        if(lx >= l && rx <= r) {
            shift(x , lx , rx);
            update(x , lx , rx);
            return hsh[x];
        }
        if(lx >= r || rx <= l) {
            shift(x , lx , rx);
            update(x , lx , rx);
            return {0 , 0};
        }
        shift(x , lx , rx);
        int m = (lx+rx)/2;
        pair<ll,ll> p = get(lt(x) , lx , m , l , r);
        pair<ll,ll> q = get(rt(x) , m , rx , l , r);
        pair<ll,ll> res;
        res.first = (p.first + q.first*po1[m-lx]%MOD1) % MOD1;
        res.second = (p.second + q.second*po2[m-lx]%MOD2) % MOD2;
        
        p = hsh[lt(x)] , q = hsh[rt(x)];
        hsh[x].first = (p.first + q.first*po1[m-lx]%MOD1) % MOD1;
        hsh[x].second = (p.second + q.second*po2[m-lx]%MOD2) % MOD2;
        layZ[x] = -1;

        return res;
    }
    pair<ll,ll> get(int l , int r) {
        return get(0 , 0 , size , l , r);
    }
};


int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);

    po1[0] = po2[0] = 1;
    pref1[0] = pref2[0] = 1;
    for(int i = 1 ; i < MXN ; i++) {
        po1[i] = po1[i-1] * PR1 % MOD1;
        po2[i] = po2[i-1] * PR2 % MOD2;
        pref1[i] = (po1[i] + pref1[i-1]) % MOD1;
        pref2[i] = (po2[i] + pref2[i-1]) % MOD2;
    }

    cin >> n;
    for(int i = 0 ; i < 3 ; i++) {
        string s; cin >> s;
        for(auto c : s) {
            str[i].push_back(c == 'J' ? 0 : (c == 'O' ? 1 : 2));
        }
    }
    prep(0 , 0 , 1); prep(0 , 1 , 0); prep(0 , 2 , 2);
    prep(1 , 0 , 0); prep(1 , 1 , 2); prep(1 , 2 , 1);
    prep(2 , 0 , 2); prep(2 , 1 , 1); prep(2 , 2 , 0);

    cin >> q;
    string s; cin >> s;
    vector<int> v;
    for(auto c : s) {
        v.push_back(c == 'J' ? 0 : (c == 'O' ? 1 : 2));
    }

    seg_tree seg;
    seg.init(); seg.build(v);
    cout << (H.count(Hash(v)) ? "Yes\n" : "No\n");

    while(q--) {

        int l , r;
        char c;
        cin >> l >> r >> c; l--;
        seg.set(l , r , (c == 'J' ? 0 : (c == 'O' ? 1 : 2)));
        pair<ll,ll> h = seg.hsh[0];
        cout << (H.count(h) ? "Yes\n" : "No\n");
    }
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 7372 KB Output is correct
2 Correct 90 ms 7516 KB Output is correct
3 Correct 93 ms 7412 KB Output is correct
4 Correct 80 ms 7412 KB Output is correct
5 Correct 84 ms 7580 KB Output is correct
6 Correct 80 ms 7632 KB Output is correct
7 Correct 80 ms 7476 KB Output is correct
8 Correct 75 ms 7512 KB Output is correct
9 Correct 86 ms 7512 KB Output is correct
10 Correct 106 ms 7544 KB Output is correct
11 Correct 85 ms 7440 KB Output is correct
12 Correct 82 ms 7544 KB Output is correct
13 Correct 85 ms 7636 KB Output is correct
14 Correct 78 ms 7420 KB Output is correct
15 Correct 92 ms 7516 KB Output is correct
16 Correct 115 ms 7500 KB Output is correct
17 Correct 86 ms 7508 KB Output is correct
18 Correct 94 ms 7500 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 7372 KB Output is correct
2 Correct 90 ms 7516 KB Output is correct
3 Correct 93 ms 7412 KB Output is correct
4 Correct 80 ms 7412 KB Output is correct
5 Correct 84 ms 7580 KB Output is correct
6 Correct 80 ms 7632 KB Output is correct
7 Correct 80 ms 7476 KB Output is correct
8 Correct 75 ms 7512 KB Output is correct
9 Correct 86 ms 7512 KB Output is correct
10 Correct 106 ms 7544 KB Output is correct
11 Correct 85 ms 7440 KB Output is correct
12 Correct 82 ms 7544 KB Output is correct
13 Correct 85 ms 7636 KB Output is correct
14 Correct 78 ms 7420 KB Output is correct
15 Correct 92 ms 7516 KB Output is correct
16 Correct 115 ms 7500 KB Output is correct
17 Correct 86 ms 7508 KB Output is correct
18 Correct 94 ms 7500 KB Output is correct
19 Correct 359 ms 22216 KB Output is correct
20 Correct 306 ms 22196 KB Output is correct
21 Correct 236 ms 21840 KB Output is correct
22 Correct 233 ms 21588 KB Output is correct
23 Correct 129 ms 8412 KB Output is correct
24 Correct 130 ms 8388 KB Output is correct
25 Correct 279 ms 22276 KB Output is correct
26 Correct 244 ms 22192 KB Output is correct
27 Correct 311 ms 22192 KB Output is correct
28 Correct 287 ms 22148 KB Output is correct
29 Correct 262 ms 22044 KB Output is correct
30 Correct 171 ms 8460 KB Output is correct
31 Correct 247 ms 22156 KB Output is correct
32 Correct 250 ms 22036 KB Output is correct
33 Correct 176 ms 8348 KB Output is correct
34 Correct 232 ms 22168 KB Output is correct
35 Correct 195 ms 21324 KB Output is correct
36 Correct 139 ms 8380 KB Output is correct
37 Correct 128 ms 8364 KB Output is correct
38 Correct 245 ms 22256 KB Output is correct
39 Correct 163 ms 22164 KB Output is correct
40 Correct 256 ms 15948 KB Output is correct
41 Correct 314 ms 22368 KB Output is correct
42 Correct 129 ms 22540 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 7372 KB Output is correct
2 Correct 90 ms 7516 KB Output is correct
3 Correct 93 ms 7412 KB Output is correct
4 Correct 80 ms 7412 KB Output is correct
5 Correct 84 ms 7580 KB Output is correct
6 Correct 80 ms 7632 KB Output is correct
7 Correct 80 ms 7476 KB Output is correct
8 Correct 75 ms 7512 KB Output is correct
9 Correct 86 ms 7512 KB Output is correct
10 Correct 106 ms 7544 KB Output is correct
11 Correct 85 ms 7440 KB Output is correct
12 Correct 82 ms 7544 KB Output is correct
13 Correct 85 ms 7636 KB Output is correct
14 Correct 78 ms 7420 KB Output is correct
15 Correct 92 ms 7516 KB Output is correct
16 Correct 115 ms 7500 KB Output is correct
17 Correct 86 ms 7508 KB Output is correct
18 Correct 94 ms 7500 KB Output is correct
19 Correct 92 ms 7480 KB Output is correct
20 Correct 101 ms 7480 KB Output is correct
21 Correct 91 ms 7536 KB Output is correct
22 Correct 83 ms 7372 KB Output is correct
23 Correct 89 ms 7444 KB Output is correct
24 Correct 78 ms 7488 KB Output is correct
25 Correct 85 ms 7484 KB Output is correct
26 Correct 90 ms 7396 KB Output is correct
27 Correct 84 ms 7496 KB Output is correct
28 Correct 76 ms 7448 KB Output is correct
29 Correct 89 ms 7540 KB Output is correct
30 Correct 78 ms 7468 KB Output is correct
31 Correct 89 ms 7504 KB Output is correct
32 Correct 81 ms 7440 KB Output is correct
33 Correct 98 ms 7572 KB Output is correct
34 Correct 102 ms 7436 KB Output is correct
35 Correct 82 ms 7540 KB Output is correct
36 Correct 92 ms 7540 KB Output is correct
37 Correct 85 ms 7500 KB Output is correct
38 Correct 87 ms 7508 KB Output is correct
39 Correct 82 ms 7524 KB Output is correct
40 Correct 85 ms 7428 KB Output is correct
41 Correct 90 ms 7484 KB Output is correct
42 Correct 88 ms 7436 KB Output is correct
43 Correct 79 ms 7412 KB Output is correct
44 Correct 86 ms 7496 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 7372 KB Output is correct
2 Correct 90 ms 7516 KB Output is correct
3 Correct 93 ms 7412 KB Output is correct
4 Correct 80 ms 7412 KB Output is correct
5 Correct 84 ms 7580 KB Output is correct
6 Correct 80 ms 7632 KB Output is correct
7 Correct 80 ms 7476 KB Output is correct
8 Correct 75 ms 7512 KB Output is correct
9 Correct 86 ms 7512 KB Output is correct
10 Correct 106 ms 7544 KB Output is correct
11 Correct 85 ms 7440 KB Output is correct
12 Correct 82 ms 7544 KB Output is correct
13 Correct 85 ms 7636 KB Output is correct
14 Correct 78 ms 7420 KB Output is correct
15 Correct 92 ms 7516 KB Output is correct
16 Correct 115 ms 7500 KB Output is correct
17 Correct 86 ms 7508 KB Output is correct
18 Correct 94 ms 7500 KB Output is correct
19 Correct 359 ms 22216 KB Output is correct
20 Correct 306 ms 22196 KB Output is correct
21 Correct 236 ms 21840 KB Output is correct
22 Correct 233 ms 21588 KB Output is correct
23 Correct 129 ms 8412 KB Output is correct
24 Correct 130 ms 8388 KB Output is correct
25 Correct 279 ms 22276 KB Output is correct
26 Correct 244 ms 22192 KB Output is correct
27 Correct 311 ms 22192 KB Output is correct
28 Correct 287 ms 22148 KB Output is correct
29 Correct 262 ms 22044 KB Output is correct
30 Correct 171 ms 8460 KB Output is correct
31 Correct 247 ms 22156 KB Output is correct
32 Correct 250 ms 22036 KB Output is correct
33 Correct 176 ms 8348 KB Output is correct
34 Correct 232 ms 22168 KB Output is correct
35 Correct 195 ms 21324 KB Output is correct
36 Correct 139 ms 8380 KB Output is correct
37 Correct 128 ms 8364 KB Output is correct
38 Correct 245 ms 22256 KB Output is correct
39 Correct 163 ms 22164 KB Output is correct
40 Correct 256 ms 15948 KB Output is correct
41 Correct 314 ms 22368 KB Output is correct
42 Correct 129 ms 22540 KB Output is correct
43 Correct 92 ms 7480 KB Output is correct
44 Correct 101 ms 7480 KB Output is correct
45 Correct 91 ms 7536 KB Output is correct
46 Correct 83 ms 7372 KB Output is correct
47 Correct 89 ms 7444 KB Output is correct
48 Correct 78 ms 7488 KB Output is correct
49 Correct 85 ms 7484 KB Output is correct
50 Correct 90 ms 7396 KB Output is correct
51 Correct 84 ms 7496 KB Output is correct
52 Correct 76 ms 7448 KB Output is correct
53 Correct 89 ms 7540 KB Output is correct
54 Correct 78 ms 7468 KB Output is correct
55 Correct 89 ms 7504 KB Output is correct
56 Correct 81 ms 7440 KB Output is correct
57 Correct 98 ms 7572 KB Output is correct
58 Correct 102 ms 7436 KB Output is correct
59 Correct 82 ms 7540 KB Output is correct
60 Correct 92 ms 7540 KB Output is correct
61 Correct 85 ms 7500 KB Output is correct
62 Correct 87 ms 7508 KB Output is correct
63 Correct 82 ms 7524 KB Output is correct
64 Correct 85 ms 7428 KB Output is correct
65 Correct 90 ms 7484 KB Output is correct
66 Correct 88 ms 7436 KB Output is correct
67 Correct 79 ms 7412 KB Output is correct
68 Correct 86 ms 7496 KB Output is correct
69 Correct 275 ms 22552 KB Output is correct
70 Correct 315 ms 23700 KB Output is correct
71 Correct 143 ms 10368 KB Output is correct
72 Correct 121 ms 10384 KB Output is correct
73 Correct 155 ms 10376 KB Output is correct
74 Correct 249 ms 25112 KB Output is correct
75 Correct 125 ms 10408 KB Output is correct
76 Correct 305 ms 25800 KB Output is correct
77 Correct 203 ms 25276 KB Output is correct
78 Correct 131 ms 10400 KB Output is correct
79 Correct 147 ms 10388 KB Output is correct
80 Correct 205 ms 24468 KB Output is correct
81 Correct 124 ms 10348 KB Output is correct
82 Correct 220 ms 25848 KB Output is correct
83 Correct 281 ms 25496 KB Output is correct
84 Correct 136 ms 10444 KB Output is correct
85 Correct 136 ms 10424 KB Output is correct
86 Correct 243 ms 24648 KB Output is correct
87 Correct 278 ms 25840 KB Output is correct
88 Correct 148 ms 10404 KB Output is correct
89 Correct 213 ms 24836 KB Output is correct
90 Correct 315 ms 25744 KB Output is correct
91 Correct 137 ms 10556 KB Output is correct
92 Correct 206 ms 24580 KB Output is correct
93 Correct 130 ms 10316 KB Output is correct
94 Correct 131 ms 10416 KB Output is correct
95 Correct 138 ms 10428 KB Output is correct
96 Correct 263 ms 25396 KB Output is correct
97 Correct 175 ms 25892 KB Output is correct
98 Correct 200 ms 18724 KB Output is correct
99 Correct 320 ms 25996 KB Output is correct
100 Correct 143 ms 25312 KB Output is correct