oj.uz

Submission #874189

# Submission time Handle Problem Language Result Execution time Memory
874189 2023-11-16T12:19:29 Z garam1732 None (JOI16_ho_t4) C++14
100 / 100
 47 ms 8400 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ff first
#define ss second
#define bl " "
#define endl "\n"
#define all(v) v.begin(), v.end()
#define comp(v) v.erase(unique(all(v)), v.end())
typedef long long ll;
typedef pair<int, int> pi;
typedef pair<pi, int> pii;
typedef pair<ll, ll> pll;
 
const int MAXN = 100100;
const int MOD = 1e9+7;
 
vector<pi> arr[MAXN], u, s;
vector<pll> w;
vector<int> ww;
 
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
 
    int n, k; cin >> n >> k;
    string str; cin >> str;
 
    pll v = pll(0, 0); s = {v};
    for(int i = 0; i < n; i++) {
        if(str[i] == 'N') v.ss++;
        else if(str[i] == 'S') v.ss--;
        else if(str[i] == 'E') v.ff++;
        else v.ff--;
 
        s.push_back(v);
    }
 
    if(v == pll(0, 0) || k == 1) {
        int cnt = 0; sort(all(s)); comp(s);
        for(auto x : s) {
            if(lower_bound(all(s), pi(x.ff+1,x.ss)) != upper_bound(all(s), pi(x.ff+1,x.ss))
               && lower_bound(all(s), pi(x.ff,x.ss+1)) != upper_bound(all(s), pi(x.ff,x.ss+1))
               && lower_bound(all(s), pi(x.ff+1,x.ss+1)) != upper_bound(all(s), pi(x.ff+1,x.ss+1)) )
                cnt++;
        }
 
        cout << cnt;
        return 0;
    }
 
    if(v.ff == 0) {
        for(auto &x : s) swap(x.ff, x.ss);
        swap(v.ff, v.ss);
    }
    if(v.ff < 0) {
        for(auto &x : s) x.ff = -x.ff;
        v.ff = -v.ff;
    }
 	
    sort(all(s)); comp(s);
    for(auto x : s) w.push_back(pll(v.ff*x.ss-v.ss*x.ff, (x.ff%v.ff+v.ff)%v.ff));
    sort(all(w)); comp(w);
 
    for(auto x : s) {
        int it = lower_bound(all(w), pll(v.ff*x.ss-v.ss*x.ff, (x.ff%v.ff+v.ff)%v.ff)) - w.begin();
        arr[it].push_back(pi(x.ff, k-1));
    }
    for(int i = 0; i < w.size(); i++) {
    //cout<<endl;
        for(auto y : arr[i]) {
           // cout<<'a'<<y.ff<<bl<<y.ss<<bl;
            if(u.size() && (y.ff-u.rbegin()->ff)/v.ff <= u.rbegin()->ss) u.rbegin()->ss = (y.ff-u.rbegin()->ff)/v.ff+k-1;
            else u.push_back(y);
        }
 
        swap(arr[i], u);
        u.clear();
    }
//cout<<endl;
//    for(int i = 0; i < w.size(); i++) {
//        cout<<w[i].ff<<endl;
//        for(pi x : arr[i]) cout<<x.ff<<bl<<x.ss<<bl;
//        cout<<endl;
//    }
 
//    arr[0] = {pi(0, 2)};
//    arr[1] = {pi(1, 1), pi(2, 1)};
//    arr[2] = {pi(1, 2), pi(2, 1)};
//    arr[3] = {pi(2, 2), pi(3, 1)};
//    arr[4] = {pi(4, 1)};
 
    ll cnt = 0;
    for(int i = 0; i < w.size(); i++) {
        int it1 = lower_bound(all(w), pll(w[i].ff+v.ff, w[i].ss))-w.begin();
        if(w[it1] != pll(w[i].ff+v.ff, w[i].ss)) continue;
        int it2 = lower_bound(all(w), pll(w[i].ff-v.ss, (w[i].ss+1)%v.ff))-w.begin();
        if(w[it2] != pll(w[i].ff-v.ss, (w[i].ss+1)%v.ff)) continue;
        int it3 = lower_bound(all(w), pll(w[i].ff+v.ff-v.ss, (w[i].ss+1)%v.ff))-w.begin();
        if(w[it3] != pll(w[i].ff+v.ff-v.ss, (w[i].ss+1)%v.ff)) continue;
 
        ww.clear();
        for(auto y : arr[i]) ww.push_back(y.ff);
        for(auto y : arr[it1]) ww.push_back(y.ff);
        for(auto y : arr[it2]) ww.push_back(y.ff);
        for(auto y : arr[it3]) ww.push_back(y.ff);
 
        sort(all(ww)); comp(ww);
 
        ll p = -MOD; int a = 0, b = 0, c = 0, d = 0;
        for(int y : ww) {
            while(a+1 < arr[i].size() && arr[i][a+1].ff <= y) a++;
            while(b+1 < arr[it1].size() && arr[it1][b+1].ff <= y) b++;
            while(c+1 < arr[it2].size() && arr[it2][c+1].ff <= y+1) c++;
            while(d+1 < arr[it3].size() && arr[it3][d+1].ff <= y+1) d++;
 
            if(arr[i][a].ff > y || arr[it1][b].ff > y || arr[it2][c].ff > y+1 || arr[it3][d].ff > y+1) continue;
 
            ll l = max(max(arr[i][a].ff, arr[it1][b].ff), max(arr[it2][c].ff, arr[it3][d].ff)-1);
            ll r = min(min(arr[i][a].ff+v.ff*arr[i][a].ss, arr[it1][b].ff+v.ff*arr[it1][b].ss), min(arr[it2][c].ff+v.ff*arr[it2][c].ss, arr[it3][d].ff+v.ff*arr[it3][d].ss)-1);
 
            //if(w[i] == -1) cout << l<<bl<<r<<endl;
 
            if(p >= l) l = p + v.ff;
            if(l > r) continue;
 
            cnt += (r-l)/v.ff+1;
            p = r;
        }
 
        //cout << w[i].ff<<bl<<cnt<<endl;
    }
 
    cout << cnt;
}

Compilation message

2016_ho_t4.cpp: In function 'int main()':
2016_ho_t4.cpp:68:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |     for(int i = 0; i < w.size(); i++) {
      |                    ~~^~~~~~~~~~
2016_ho_t4.cpp:93:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |     for(int i = 0; i < w.size(); i++) {
      |                    ~~^~~~~~~~~~
2016_ho_t4.cpp:111:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |             while(a+1 < arr[i].size() && arr[i][a+1].ff <= y) a++;
      |                   ~~~~^~~~~~~~~~~~~~~
2016_ho_t4.cpp:112:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |             while(b+1 < arr[it1].size() && arr[it1][b+1].ff <= y) b++;
      |                   ~~~~^~~~~~~~~~~~~~~~~
2016_ho_t4.cpp:113:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  113 |             while(c+1 < arr[it2].size() && arr[it2][c+1].ff <= y+1) c++;
      |                   ~~~~^~~~~~~~~~~~~~~~~
2016_ho_t4.cpp:114:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |             while(d+1 < arr[it3].size() && arr[it3][d+1].ff <= y+1) d++;
      |                   ~~~~^~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2648 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2648 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 3 ms 2908 KB Output is correct
29 Correct 8 ms 3544 KB Output is correct
30 Correct 10 ms 4120 KB Output is correct
31 Correct 21 ms 4120 KB Output is correct
32 Correct 14 ms 4116 KB Output is correct
33 Correct 15 ms 4120 KB Output is correct
34 Correct 15 ms 4116 KB Output is correct
35 Correct 14 ms 4120 KB Output is correct
36 Correct 15 ms 4120 KB Output is correct
37 Correct 14 ms 4120 KB Output is correct
38 Correct 14 ms 4120 KB Output is correct
39 Correct 15 ms 4120 KB Output is correct
40 Correct 14 ms 4120 KB Output is correct
41 Correct 12 ms 4120 KB Output is correct
42 Correct 12 ms 4120 KB Output is correct
43 Correct 15 ms 4120 KB Output is correct
44 Correct 14 ms 4368 KB Output is correct
45 Correct 12 ms 4120 KB Output is correct
46 Correct 16 ms 4104 KB Output is correct
47 Correct 19 ms 4120 KB Output is correct
48 Correct 31 ms 4120 KB Output is correct
49 Correct 7 ms 4372 KB Output is correct
50 Correct 8 ms 4116 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2648 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 1 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 1 ms 2804 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 1 ms 2652 KB Output is correct
34 Correct 1 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2652 KB Output is correct
38 Correct 1 ms 2652 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 1 ms 2652 KB Output is correct
41 Correct 1 ms 2652 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 1 ms 2652 KB Output is correct
44 Correct 1 ms 2648 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 1 ms 2652 KB Output is correct
47 Correct 1 ms 2652 KB Output is correct
48 Correct 1 ms 2652 KB Output is correct
49 Correct 1 ms 2652 KB Output is correct
50 Correct 1 ms 2652 KB Output is correct

Subtask #4
62.0 / 62.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2648 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2652 KB Output is correct
24 Correct 1 ms 2652 KB Output is correct
25 Correct 1 ms 2648 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2908 KB Output is correct
28 Correct 3 ms 2908 KB Output is correct
29 Correct 8 ms 3544 KB Output is correct
30 Correct 10 ms 4120 KB Output is correct
31 Correct 21 ms 4120 KB Output is correct
32 Correct 14 ms 4116 KB Output is correct
33 Correct 15 ms 4120 KB Output is correct
34 Correct 15 ms 4116 KB Output is correct
35 Correct 14 ms 4120 KB Output is correct
36 Correct 15 ms 4120 KB Output is correct
37 Correct 14 ms 4120 KB Output is correct
38 Correct 14 ms 4120 KB Output is correct
39 Correct 15 ms 4120 KB Output is correct
40 Correct 14 ms 4120 KB Output is correct
41 Correct 12 ms 4120 KB Output is correct
42 Correct 12 ms 4120 KB Output is correct
43 Correct 15 ms 4120 KB Output is correct
44 Correct 14 ms 4368 KB Output is correct
45 Correct 12 ms 4120 KB Output is correct
46 Correct 16 ms 4104 KB Output is correct
47 Correct 19 ms 4120 KB Output is correct
48 Correct 31 ms 4120 KB Output is correct
49 Correct 7 ms 4372 KB Output is correct
50 Correct 8 ms 4116 KB Output is correct
51 Correct 1 ms 2652 KB Output is correct
52 Correct 1 ms 2652 KB Output is correct
53 Correct 1 ms 2652 KB Output is correct
54 Correct 1 ms 2652 KB Output is correct
55 Correct 1 ms 2652 KB Output is correct
56 Correct 1 ms 2804 KB Output is correct
57 Correct 1 ms 2652 KB Output is correct
58 Correct 1 ms 2652 KB Output is correct
59 Correct 1 ms 2652 KB Output is correct
60 Correct 1 ms 2652 KB Output is correct
61 Correct 1 ms 2652 KB Output is correct
62 Correct 1 ms 2652 KB Output is correct
63 Correct 1 ms 2652 KB Output is correct
64 Correct 1 ms 2652 KB Output is correct
65 Correct 1 ms 2652 KB Output is correct
66 Correct 1 ms 2652 KB Output is correct
67 Correct 1 ms 2652 KB Output is correct
68 Correct 1 ms 2652 KB Output is correct
69 Correct 1 ms 2648 KB Output is correct
70 Correct 1 ms 2652 KB Output is correct
71 Correct 1 ms 2652 KB Output is correct
72 Correct 1 ms 2652 KB Output is correct
73 Correct 1 ms 2652 KB Output is correct
74 Correct 1 ms 2652 KB Output is correct
75 Correct 1 ms 2652 KB Output is correct
76 Correct 2 ms 2904 KB Output is correct
77 Correct 2 ms 2904 KB Output is correct
78 Correct 7 ms 3684 KB Output is correct
79 Correct 17 ms 5488 KB Output is correct
80 Correct 12 ms 4372 KB Output is correct
81 Correct 15 ms 4120 KB Output is correct
82 Correct 18 ms 4624 KB Output is correct
83 Correct 11 ms 4120 KB Output is correct
84 Correct 16 ms 4724 KB Output is correct
85 Correct 16 ms 4628 KB Output is correct
86 Correct 25 ms 6596 KB Output is correct
87 Correct 21 ms 4980 KB Output is correct
88 Correct 16 ms 4628 KB Output is correct
89 Correct 16 ms 4628 KB Output is correct
90 Correct 15 ms 4120 KB Output is correct
91 Correct 17 ms 4664 KB Output is correct
92 Correct 18 ms 4668 KB Output is correct
93 Correct 16 ms 4628 KB Output is correct
94 Correct 16 ms 4480 KB Output is correct
95 Correct 14 ms 4368 KB Output is correct
96 Correct 23 ms 5136 KB Output is correct
97 Correct 24 ms 5940 KB Output is correct
98 Correct 15 ms 6860 KB Output is correct
99 Correct 19 ms 8372 KB Output is correct
100 Correct 47 ms 8400 KB Output is correct