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답안 #542265

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
542265 2022-03-26T03:48:53 Z radal Crossing (JOI21_crossing) C++17
100 / 100
 625 ms 17708 KB 
#include <bits/stdc++.h>
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("unroll-loops")
#define rep(i,l,r) for (int i = l; i < r; i++)
#define repr(i,r,l) for (int i = r; i >= l; i--)
#define X first
#define Y second
#define pb push_back
#define endl '\n'
#define debug(x) cerr << #x << " : " << x << endl;
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pll;
constexpr ll N = 2e5+20,mod = 1e9+9,inf = 1e9+10,mod2 = 1e9+7,mod3 = 1e9+21;
inline int mkay(int a,int b,int mod){
    if (a+b >= mod) return a+b-mod;
    if (a+b < 0) return a+b+mod;
    return a+b;
}
 
inline int poww(int a,int k,int m){
    if (k < 0) return 0;
    int z = 1;
    while (k){
        if (k&1) z = 1ll*z*a%m;
        a = 1ll*a*a%m;
        k >>= 1;
    }
    return z;
}
int pw[N][3],n;
set <pair<int,pll> >st;
int lz[N*4],inv[3];
pair<int,pll> seg[N*4];
inline string Xor(string& s,string& t){
    string ans = "";
    rep(i,0,n){
        if (s[i] == t[i]) ans += s[i];
        else{
            if (s[i] != 'J' && t[i] !='J') ans += 'J';
            else if (s[i] != 'O' && t[i] != 'O') ans += 'O';
            else ans += 'I';
        }
    }
    return ans;
}
inline int hash_func(string& s,int f,int m){
    int ans = 0;
    rep(i,0,n){
        if (s[i] == 'J') continue;
        if (s[i] == 'O')
            ans = mkay(ans,pw[i][f],m);
        else
            ans = mkay(ans,pw[i][f]*2%m,m);
    }
    return ans;
}
string t;

void build(int l = 0,int r = n,int v = 1){
    lz[v] = -1;
    if (r-l == 1){
        if(t[l] == 'J'){
            seg[v] = {0,{0,0}};
            return;
        }
        if (t[l] == 'O'){
            seg[v] = {pw[l][0],{pw[l][1],pw[l][2]}};
            return;
        }
        seg[v] = {mkay(pw[l][0],pw[l][0],mod),{mkay(pw[l][1],pw[l][1],mod2),mkay(pw[l][2],pw[l][2],mod3)}};
        return;
    }
    int m = (l+r) >> 1,u = (v << 1);
    build(l,m,u);
    build(m,r,u|1);
    seg[v].X = mkay(seg[u].X,seg[u|1].X,mod);
    seg[v].Y.X = mkay(seg[u].Y.X,seg[u|1].Y.X,mod2);
    seg[v].Y.Y = mkay(seg[u].Y.Y,seg[u|1].Y.Y,mod3);
}

inline void pass(int l,int r,int v){
    if (lz[v] == -1) return;
    int u = (v << 1);
    lz[u] = lz[v];
    lz[u|1] = lz[v];
    if (lz[v] == 0){
        seg[u] = {0,{0,0}};
        seg[u|1] = {0,{0,0}};
        lz[v] = -1;
        return;
    }
    int m = (l+r) >> 1;
    int L[3], R[3];
    R[0] = mkay(pw[r][0],-pw[m][0],mod);
    R[1] = mkay(pw[r][1],-pw[m][1],mod2);
    R[2] = mkay(pw[r][2],-pw[m][2],mod3);
    L[0] = mkay(pw[m][0],-pw[l][0],mod);
    L[1] = mkay(pw[m][1],-pw[l][1],mod2);
    L[2] = mkay(pw[m][2],-pw[l][2],mod3);
    if (lz[v] == 2){
        seg[u] = {L[0],{L[1],L[2]}};
        seg[u|1] = {R[0],{R[1],R[2]}};
        lz[v] = -1;
        return;
    }
    lz[v] = -1;
    L[0] = 1ll*L[0]*inv[0]%mod;
    R[0] = 1ll*R[0]*inv[0]%mod;
    L[1] = 1ll*L[1]*inv[1]%mod2;
    R[1] = 1ll*R[1]*inv[1]%mod2;
    L[2] = 1ll*L[2]*inv[2]%mod3;
    R[2] = 1ll*R[2]*inv[2]%mod3;
    seg[u] = {L[0],{L[1],L[2]}};
    seg[u|1] = {R[0],{R[1],R[2]}};
}

void upd(int l,int r,int s,int e,int x,int v = 1){
    if (s >= r || l >= e) return;
    if (s <= l && r <= e){
        lz[v] = x;
        if (!x){
            seg[v] = {0,{0,0}};
            return;
        }
        if (x == 2){
            seg[v].X = mkay(pw[r][0],-pw[l][0],mod);
            seg[v].Y.X = mkay(pw[r][1],-pw[l][1],mod2);
            seg[v].Y.Y = mkay(pw[r][2],-pw[l][2],mod3);
            return;
        }
        seg[v].X = 1ll*mkay(pw[r][0],-pw[l][0],mod)*inv[0]%mod;
        seg[v].Y.X = 1ll*mkay(pw[r][1],-pw[l][1],mod2)*inv[1]%mod2;
        seg[v].Y.Y = 1ll*mkay(pw[r][2],-pw[l][2],mod3)*inv[2]%mod3;
        return;
    }
    pass(l,r,v);
    int u = (v << 1),m = (l+r) >> 1;
    upd(l,m,s,e,x,u);
    upd(m,r,s,e,x,u|1);
    seg[v].X = mkay(seg[u].X,seg[u|1].X,mod);
    seg[v].Y.X = mkay(seg[u].Y.X,seg[u|1].Y.X,mod2);
    seg[v].Y.Y = mkay(seg[u].Y.Y,seg[u|1].Y.Y,mod3);
}
int main(){
    ios :: sync_with_stdio(0); cin.tie(0);
    int q;
    cin >> n;
    set<string> st2;
    inv[0] = poww(2,mod-2,mod);
    inv[1] = poww(2,mod2-2,mod2);
    inv[2] = poww(2,mod3-2,mod3);
    rep(i,0,3){
        string s;
        cin >> s;
        st2.insert(s);
    }
    rep(i,0,1000){
        bool f = 0;
        for (string s : st2){
            for (string v : st2){
                string w = Xor(s,v);
                if (st2.find(w) != st2.end()) continue;
                f = 1;
                st2.insert(w);
            }
        }
        if (!f) break;
    }
    pw[0][0] = pw[0][1] = pw[0][2] = 1;
    rep(i,1,n+3){
        pw[i][0] = 1ll*pw[i-1][0]*3%mod;
        pw[i][1] = 1ll*pw[i-1][1]*3%mod2;
        pw[i][2] = 1ll*pw[i-1][2]*3%mod3;
    }
    for (string s : st2){
        st.insert({hash_func(s,0,mod),{hash_func(s,1,mod2),hash_func(s,2,mod3)}});
    }
    cin >> q;
    cin >> t;
    build();
    if (st.find(seg[1]) != st.end()){
        cout << "Yes" << endl;
    }
    else{
        cout << "No" << endl;
    }
    while (q--){
        int l,r;
        char c;
        cin >> l >> r >> c;
        l--;
        if (c == 'J') upd(0,n,l,r,0);
        if (c == 'O') upd(0,n,l,r,1);
        if (c == 'I') upd(0,n,l,r,2);
        cout << ((st.find(seg[1]) != st.end()) ? "Yes" : "No") << endl;
    }
}

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 92 ms 2396 KB Output is correct
2 Correct 118 ms 2400 KB Output is correct
3 Correct 86 ms 2264 KB Output is correct
4 Correct 82 ms 2300 KB Output is correct
5 Correct 86 ms 2356 KB Output is correct
6 Correct 100 ms 2244 KB Output is correct
7 Correct 91 ms 2364 KB Output is correct
8 Correct 89 ms 2380 KB Output is correct
9 Correct 93 ms 2380 KB Output is correct
10 Correct 109 ms 2420 KB Output is correct
11 Correct 101 ms 2460 KB Output is correct
12 Correct 88 ms 2408 KB Output is correct
13 Correct 93 ms 2452 KB Output is correct
14 Correct 99 ms 2428 KB Output is correct
15 Correct 97 ms 2380 KB Output is correct
16 Correct 99 ms 2400 KB Output is correct
17 Correct 99 ms 2464 KB Output is correct
18 Correct 94 ms 2344 KB Output is correct

Subtask #2
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 92 ms 2396 KB Output is correct
2 Correct 118 ms 2400 KB Output is correct
3 Correct 86 ms 2264 KB Output is correct
4 Correct 82 ms 2300 KB Output is correct
5 Correct 86 ms 2356 KB Output is correct
6 Correct 100 ms 2244 KB Output is correct
7 Correct 91 ms 2364 KB Output is correct
8 Correct 89 ms 2380 KB Output is correct
9 Correct 93 ms 2380 KB Output is correct
10 Correct 109 ms 2420 KB Output is correct
11 Correct 101 ms 2460 KB Output is correct
12 Correct 88 ms 2408 KB Output is correct
13 Correct 93 ms 2452 KB Output is correct
14 Correct 99 ms 2428 KB Output is correct
15 Correct 97 ms 2380 KB Output is correct
16 Correct 99 ms 2400 KB Output is correct
17 Correct 99 ms 2464 KB Output is correct
18 Correct 94 ms 2344 KB Output is correct
19 Correct 361 ms 15948 KB Output is correct
20 Correct 373 ms 15920 KB Output is correct
21 Correct 224 ms 15620 KB Output is correct
22 Correct 249 ms 15220 KB Output is correct
23 Correct 157 ms 4040 KB Output is correct
24 Correct 165 ms 4080 KB Output is correct
25 Correct 232 ms 15944 KB Output is correct
26 Correct 238 ms 15956 KB Output is correct
27 Correct 307 ms 15952 KB Output is correct
28 Correct 292 ms 15956 KB Output is correct
29 Correct 261 ms 15940 KB Output is correct
30 Correct 168 ms 3972 KB Output is correct
31 Correct 294 ms 15956 KB Output is correct
32 Correct 266 ms 15732 KB Output is correct
33 Correct 164 ms 3928 KB Output is correct
34 Correct 283 ms 15892 KB Output is correct
35 Correct 231 ms 14688 KB Output is correct
36 Correct 148 ms 3904 KB Output is correct
37 Correct 171 ms 3956 KB Output is correct
38 Correct 284 ms 15716 KB Output is correct
39 Correct 169 ms 15968 KB Output is correct
40 Correct 241 ms 10324 KB Output is correct
41 Correct 304 ms 16088 KB Output is correct
42 Correct 58 ms 15348 KB Output is correct

Subtask #3
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 92 ms 2396 KB Output is correct
2 Correct 118 ms 2400 KB Output is correct
3 Correct 86 ms 2264 KB Output is correct
4 Correct 82 ms 2300 KB Output is correct
5 Correct 86 ms 2356 KB Output is correct
6 Correct 100 ms 2244 KB Output is correct
7 Correct 91 ms 2364 KB Output is correct
8 Correct 89 ms 2380 KB Output is correct
9 Correct 93 ms 2380 KB Output is correct
10 Correct 109 ms 2420 KB Output is correct
11 Correct 101 ms 2460 KB Output is correct
12 Correct 88 ms 2408 KB Output is correct
13 Correct 93 ms 2452 KB Output is correct
14 Correct 99 ms 2428 KB Output is correct
15 Correct 97 ms 2380 KB Output is correct
16 Correct 99 ms 2400 KB Output is correct
17 Correct 99 ms 2464 KB Output is correct
18 Correct 94 ms 2344 KB Output is correct
19 Correct 102 ms 2364 KB Output is correct
20 Correct 117 ms 2248 KB Output is correct
21 Correct 89 ms 2380 KB Output is correct
22 Correct 78 ms 2252 KB Output is correct
23 Correct 103 ms 2432 KB Output is correct
24 Correct 92 ms 2332 KB Output is correct
25 Correct 91 ms 2400 KB Output is correct
26 Correct 85 ms 2252 KB Output is correct
27 Correct 112 ms 2368 KB Output is correct
28 Correct 81 ms 2252 KB Output is correct
29 Correct 92 ms 2356 KB Output is correct
30 Correct 76 ms 2372 KB Output is correct
31 Correct 95 ms 2432 KB Output is correct
32 Correct 94 ms 2336 KB Output is correct
33 Correct 107 ms 2400 KB Output is correct
34 Correct 85 ms 2252 KB Output is correct
35 Correct 93 ms 2460 KB Output is correct
36 Correct 94 ms 2380 KB Output is correct
37 Correct 96 ms 2380 KB Output is correct
38 Correct 97 ms 2452 KB Output is correct
39 Correct 93 ms 2376 KB Output is correct
40 Correct 96 ms 2392 KB Output is correct
41 Correct 96 ms 2460 KB Output is correct
42 Correct 101 ms 2452 KB Output is correct
43 Correct 90 ms 2380 KB Output is correct
44 Correct 96 ms 2476 KB Output is correct

Subtask #4
51.0 / 51.0

# 결과 실행 시간 메모리 Grader output
1 Correct 92 ms 2396 KB Output is correct
2 Correct 118 ms 2400 KB Output is correct
3 Correct 86 ms 2264 KB Output is correct
4 Correct 82 ms 2300 KB Output is correct
5 Correct 86 ms 2356 KB Output is correct
6 Correct 100 ms 2244 KB Output is correct
7 Correct 91 ms 2364 KB Output is correct
8 Correct 89 ms 2380 KB Output is correct
9 Correct 93 ms 2380 KB Output is correct
10 Correct 109 ms 2420 KB Output is correct
11 Correct 101 ms 2460 KB Output is correct
12 Correct 88 ms 2408 KB Output is correct
13 Correct 93 ms 2452 KB Output is correct
14 Correct 99 ms 2428 KB Output is correct
15 Correct 97 ms 2380 KB Output is correct
16 Correct 99 ms 2400 KB Output is correct
17 Correct 99 ms 2464 KB Output is correct
18 Correct 94 ms 2344 KB Output is correct
19 Correct 361 ms 15948 KB Output is correct
20 Correct 373 ms 15920 KB Output is correct
21 Correct 224 ms 15620 KB Output is correct
22 Correct 249 ms 15220 KB Output is correct
23 Correct 157 ms 4040 KB Output is correct
24 Correct 165 ms 4080 KB Output is correct
25 Correct 232 ms 15944 KB Output is correct
26 Correct 238 ms 15956 KB Output is correct
27 Correct 307 ms 15952 KB Output is correct
28 Correct 292 ms 15956 KB Output is correct
29 Correct 261 ms 15940 KB Output is correct
30 Correct 168 ms 3972 KB Output is correct
31 Correct 294 ms 15956 KB Output is correct
32 Correct 266 ms 15732 KB Output is correct
33 Correct 164 ms 3928 KB Output is correct
34 Correct 283 ms 15892 KB Output is correct
35 Correct 231 ms 14688 KB Output is correct
36 Correct 148 ms 3904 KB Output is correct
37 Correct 171 ms 3956 KB Output is correct
38 Correct 284 ms 15716 KB Output is correct
39 Correct 169 ms 15968 KB Output is correct
40 Correct 241 ms 10324 KB Output is correct
41 Correct 304 ms 16088 KB Output is correct
42 Correct 58 ms 15348 KB Output is correct
43 Correct 102 ms 2364 KB Output is correct
44 Correct 117 ms 2248 KB Output is correct
45 Correct 89 ms 2380 KB Output is correct
46 Correct 78 ms 2252 KB Output is correct
47 Correct 103 ms 2432 KB Output is correct
48 Correct 92 ms 2332 KB Output is correct
49 Correct 91 ms 2400 KB Output is correct
50 Correct 85 ms 2252 KB Output is correct
51 Correct 112 ms 2368 KB Output is correct
52 Correct 81 ms 2252 KB Output is correct
53 Correct 92 ms 2356 KB Output is correct
54 Correct 76 ms 2372 KB Output is correct
55 Correct 95 ms 2432 KB Output is correct
56 Correct 94 ms 2336 KB Output is correct
57 Correct 107 ms 2400 KB Output is correct
58 Correct 85 ms 2252 KB Output is correct
59 Correct 93 ms 2460 KB Output is correct
60 Correct 94 ms 2380 KB Output is correct
61 Correct 96 ms 2380 KB Output is correct
62 Correct 97 ms 2452 KB Output is correct
63 Correct 93 ms 2376 KB Output is correct
64 Correct 96 ms 2392 KB Output is correct
65 Correct 96 ms 2460 KB Output is correct
66 Correct 101 ms 2452 KB Output is correct
67 Correct 90 ms 2380 KB Output is correct
68 Correct 96 ms 2476 KB Output is correct
69 Correct 625 ms 16272 KB Output is correct
70 Correct 614 ms 17548 KB Output is correct
71 Correct 155 ms 3940 KB Output is correct
72 Correct 160 ms 4120 KB Output is correct
73 Correct 159 ms 3988 KB Output is correct
74 Correct 249 ms 15568 KB Output is correct
75 Correct 174 ms 3884 KB Output is correct
76 Correct 268 ms 16452 KB Output is correct
77 Correct 311 ms 15636 KB Output is correct
78 Correct 157 ms 3984 KB Output is correct
79 Correct 166 ms 3976 KB Output is correct
80 Correct 501 ms 15544 KB Output is correct
81 Correct 174 ms 4028 KB Output is correct
82 Correct 621 ms 17432 KB Output is correct
83 Correct 609 ms 17300 KB Output is correct
84 Correct 200 ms 4000 KB Output is correct
85 Correct 166 ms 4044 KB Output is correct
86 Correct 422 ms 15824 KB Output is correct
87 Correct 490 ms 17428 KB Output is correct
88 Correct 198 ms 3952 KB Output is correct
89 Correct 409 ms 16636 KB Output is correct
90 Correct 466 ms 17484 KB Output is correct
91 Correct 183 ms 4000 KB Output is correct
92 Correct 507 ms 15764 KB Output is correct
93 Correct 186 ms 4024 KB Output is correct
94 Correct 175 ms 3932 KB Output is correct
95 Correct 181 ms 4044 KB Output is correct
96 Correct 300 ms 15676 KB Output is correct
97 Correct 339 ms 17548 KB Output is correct
98 Correct 441 ms 11304 KB Output is correct
99 Correct 559 ms 17708 KB Output is correct
100 Correct 360 ms 16968 KB Output is correct