oj.uz

Submission #594122

# Submission time Handle Problem Language Result Execution time Memory
594122 2022-07-12T06:44:39 Z Cross_Ratio None (JOI16_ho_t4) C++14
100 / 100
 268 ms 28656 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
typedef pair<int,int> P;
const int INF = 1e18;
map<P,set<int>> M;
int dx, dy;
P r(int x, int y) {
    int rx = (x%dx+dx)%dx;
    int ry = y - dy * (x-rx)/dx;
    return P(rx, ry);
}
int mx[4] = {0,0,1,1};
int my[4] = {0,1,1,0};
void print(priority_queue<P,vector<P>,greater<P>> PQ) {
    while(!PQ.empty()) {
        cout << PQ.top().first << ' ' <<PQ.top().second << '\n';
        PQ.pop();
    }
}
signed main() {
    cin.sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int N;
    int K;
    cin >> N >> K;
    string s;
    cin >> s;
    int i, j;
    int x = 0, y = 0;
    set<P> S;
    S.insert(P(0,0));
    for(i=0;i<N;i++) {
        if(s[i]=='E') x++;
        if(s[i]=='W') x--;
        if(s[i]=='N') y++;
        if(s[i]=='S') y--;
        S.insert(P(x,y));
    }
    int ans = 0;
    for(P k : S) {
        int x = k.first, y = k.second;
        if(S.find(P(x,y+1))!=S.end()&&S.find(P(x+1,y))!=S.end()&&S.find(P(x+1,y+1))!=S.end()) {
            ans++;
        }
    }
    if(x==0&&y==0) {
        cout << ans;
        return 0;
    }
    dx = x, dy = y;
    if(dx==0) {
        swap(dx, dy);
        for(i=0;i<N;i++) {
            if(s[i]=='E') s[i]='N';
            else if(s[i]=='N') s[i]='E';
            else if(s[i]=='W') s[i]='S';
            else if(s[i]=='S') s[i]='W';
        }
    }
    if(dx<0) {
        dx *= -1;
        for(i=0;i<N;i++) {
            if(s[i]=='E') s[i]='W';
            else if(s[i]=='W') s[i]='E';
        }
    }
    assert(dx>0);
    x = y = 0;
    M[P(0,0)].insert(0);
    for(i=0;i<N;i++) {
        if(s[i]=='E') x++;
        if(s[i]=='W') x--;
        if(s[i]=='N') y++;
        if(s[i]=='S') y--;
        int rx = (x%dx+dx)%dx;
        int ry = y - dy * (x-rx)/dx;
        M[r(x, y)].insert((x-rx)/dx);
    }
    /*cout << dx << ' ' << dy << '\n';
    cout << s << '\n';
    for(auto it = M.begin();it!=M.end();it++) {
        cout << it->first.first << ' ' << it->first.second << " :\n";
        for(int m : it->second) cout << m << ' ';
        cout << '\n';
    }*/
    S = set<P> {};
    x = y = 0;
    S.insert(r(x,y));
    S.insert(r(x,y-1));
    S.insert(r(x-1,y-1));
    S.insert(r(x-1,y));
    for(i=0;i<N;i++) {
        if(s[i]=='E') x++;
        if(s[i]=='W') x--;
        if(s[i]=='N') y++;
        if(s[i]=='S') y--;
        int rx = (x%dx+dx)%dx;
        int ry = y - dy * (x-rx) / dx;
        S.insert(r(x,y));
        S.insert(r(x,y-1));
        S.insert(r(x-1,y-1));
        S.insert(r(x-1,y));
    }
    ans = 0;
    for(P k : S) {
        int x = k.first, y = k.second;
        //cout << x << ' ' << y << " How Many?\n";
        priority_queue<P,vector<P>,greater<P>> res;
        bool isPos=true;
        for(i=0;i<4;i++) {
            priority_queue<P,vector<P>,greater<P>> Rang;
            int x2 = x + mx[i];
            int y2 = y + my[i];
            //cout << x2 << ' ' << y2 << '\n';
            int z = 0;
            if(x2==dx) {
                x2 = 0;
                y2 -= dy;
                z = -1;
            }
            if(!M.count(P(x2,y2))) {
                isPos = false;
                break;
            }
            for(int j : M[P(x2,y2)]) {
                //cout << j << ' ';
                Rang.push(P(j+z,j+K-1+z));
            }
            //cout << '\n';
            //cout << "Current Res : \n";
            //print(res);
            //cout << "Now Rang :\n";
            //print(Rang);
            priority_queue<P,vector<P>,greater<P>> Res;
            int st = INF;
            int en = -INF;
            priority_queue<P,vector<P>,greater<P>> rang;
            while(!Rang.empty()) {
                if(st==INF) {
                    st = Rang.top().first;
                    en = st;
                }
                if(Rang.top().first<=en) {
                    en = max(en, Rang.top().second);
                    Rang.pop();
                }
                else {
                    rang.push(P(st,en));
                    st = INF;
                    en = -INF;
                }
            }
            if(st != INF) rang.push(P(st,en));
            //cout << "Rang -> rang\n";
            //print(rang);
            if(!i) {
                res = rang;
                continue;
            }
            while(!res.empty()&&!rang.empty()) {
                int x1 = res.top().first, x2 = res.top().second;
                while(!rang.empty()&&rang.top().second<x1) rang.pop();
                if(rang.empty()) break;
                int y1 = rang.top().first, y2 = rang.top().second;
                if(x2<y1) {
                    res.pop();
                }
                else {
                    Res.push(P(max(x1,y1),min(x2,y2)));
                    res.pop();
                }
            }
            //cout << "Summation\n";
            //print(Res);
            res = Res;
        }
        if(!isPos) continue;
        while(!res.empty()) {
            int k1 = res.top().first, k2 = res.top().second;
            ans += k2 - k1 + 1;
            res.pop();
        }
        //cout << ans << '\n';
    }
    cout << ans;
}

Compilation message

2016_ho_t4.cpp: In function 'int main()':
2016_ho_t4.cpp:78:13: warning: unused variable 'ry' [-Wunused-variable]
   78 |         int ry = y - dy * (x-rx)/dx;
      |             ^~
2016_ho_t4.cpp:100:13: warning: unused variable 'ry' [-Wunused-variable]
  100 |         int ry = y - dy * (x-rx) / dx;
      |             ^~
2016_ho_t4.cpp:30:12: warning: unused variable 'j' [-Wunused-variable]
   30 |     int i, j;
      |            ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 40 ms 3540 KB Output is correct
30 Correct 50 ms 3364 KB Output is correct
31 Correct 163 ms 23368 KB Output is correct
32 Correct 14 ms 1620 KB Output is correct
33 Correct 78 ms 6092 KB Output is correct
34 Correct 78 ms 6552 KB Output is correct
35 Correct 75 ms 5672 KB Output is correct
36 Correct 68 ms 4184 KB Output is correct
37 Correct 14 ms 1772 KB Output is correct
38 Correct 79 ms 5312 KB Output is correct
39 Correct 77 ms 5788 KB Output is correct
40 Correct 14 ms 1620 KB Output is correct
41 Correct 58 ms 3020 KB Output is correct
42 Correct 56 ms 3540 KB Output is correct
43 Correct 79 ms 5672 KB Output is correct
44 Correct 78 ms 5548 KB Output is correct
45 Correct 62 ms 4624 KB Output is correct
46 Correct 103 ms 8528 KB Output is correct
47 Correct 131 ms 11364 KB Output is correct
48 Correct 88 ms 11272 KB Output is correct
49 Correct 196 ms 28540 KB Output is correct
50 Correct 191 ms 28576 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 300 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct

Subtask #4
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 40 ms 3540 KB Output is correct
30 Correct 50 ms 3364 KB Output is correct
31 Correct 163 ms 23368 KB Output is correct
32 Correct 14 ms 1620 KB Output is correct
33 Correct 78 ms 6092 KB Output is correct
34 Correct 78 ms 6552 KB Output is correct
35 Correct 75 ms 5672 KB Output is correct
36 Correct 68 ms 4184 KB Output is correct
37 Correct 14 ms 1772 KB Output is correct
38 Correct 79 ms 5312 KB Output is correct
39 Correct 77 ms 5788 KB Output is correct
40 Correct 14 ms 1620 KB Output is correct
41 Correct 58 ms 3020 KB Output is correct
42 Correct 56 ms 3540 KB Output is correct
43 Correct 79 ms 5672 KB Output is correct
44 Correct 78 ms 5548 KB Output is correct
45 Correct 62 ms 4624 KB Output is correct
46 Correct 103 ms 8528 KB Output is correct
47 Correct 131 ms 11364 KB Output is correct
48 Correct 88 ms 11272 KB Output is correct
49 Correct 196 ms 28540 KB Output is correct
50 Correct 191 ms 28576 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 0 ms 212 KB Output is correct
56 Correct 0 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 300 KB Output is correct
61 Correct 1 ms 212 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 0 ms 212 KB Output is correct
64 Correct 0 ms 212 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 1 ms 212 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 0 ms 212 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 5 ms 600 KB Output is correct
77 Correct 2 ms 468 KB Output is correct
78 Correct 25 ms 3540 KB Output is correct
79 Correct 83 ms 13620 KB Output is correct
80 Correct 52 ms 3748 KB Output is correct
81 Correct 16 ms 2012 KB Output is correct
82 Correct 78 ms 5264 KB Output is correct
83 Correct 49 ms 2764 KB Output is correct
84 Correct 74 ms 5616 KB Output is correct
85 Correct 74 ms 5704 KB Output is correct
86 Correct 124 ms 14172 KB Output is correct
87 Correct 84 ms 6904 KB Output is correct
88 Correct 69 ms 4824 KB Output is correct
89 Correct 74 ms 5156 KB Output is correct
90 Correct 15 ms 2004 KB Output is correct
91 Correct 76 ms 6180 KB Output is correct
92 Correct 77 ms 6316 KB Output is correct
93 Correct 78 ms 6160 KB Output is correct
94 Correct 62 ms 4076 KB Output is correct
95 Correct 62 ms 4348 KB Output is correct
96 Correct 103 ms 8724 KB Output is correct
97 Correct 150 ms 11340 KB Output is correct
98 Correct 79 ms 11464 KB Output is correct
99 Correct 191 ms 28656 KB Output is correct
100 Correct 268 ms 22416 KB Output is correct