Submission #130133

# Submission time Handle Problem Language Result Execution time Memory
130133 2019-07-14T04:58:54 Z EntityIT None (JOI16_ho_t4) C++14
100 / 100
173 ms 12244 KB
#include<bits/stdc++.h>

using namespace std;

using ll = long long;
const ll infll = (ll)1e18 + 123;
int n, K, dx[] = { -1, 0, 1, 0 }, dy[] = { 0, 1, 0, -1 }, dir[200], a, b;
ll ans;
vector< array<ll, 4> > vecAns;
string s;

struct Type {
    ll r_x, r_y, q_f, q_l;
    Type (ll _r_x = 0, ll _r_y = 0, ll _q_f = 0, ll _q_l = 0) : r_x(_r_x), r_y(_r_y), q_f(_q_f), q_l(_q_l) {}
    bool operator< (const Type &_) const { return array<ll, 4>{ r_x, r_y, q_f, q_l } < array<ll, 4>{ _.r_x, _.r_y, _.q_f, _.q_l }; }
    bool operator> (const Type &_) const { return _ < *this; }
    bool operator== (const Type &_) const { return !(*this < _ || _ < *this); }
};
vector<Type> type;

void get (ll r_x, ll r_y, int _1, int _2) {
    int tmp = 0;
    if (r_x == a) {
        tmp = 1;
        r_x -= a;
        r_y -= b;
    }
    int pos = (int)(lower_bound(type.begin(), type.end(), Type(r_x, r_y, -infll, -infll) ) - type.begin() );
    for (; pos < (int)type.size() && array<ll, 2>{ r_x, r_y } == array<ll, 2>{ type[pos].r_x, type[pos].r_y }; ++pos) {
        vecAns.push_back(array<ll, 4>{ type[pos].q_f - tmp, _1, _2, 1 } );
        vecAns.push_back(array<ll, 4>{ type[pos].q_l + 1 - tmp, _1, _2, -1 } );
    }
}

void specCase () {
    set< array<ll, 2> > set_;
    for (int x = 0, y = 0, i = -1; i < n; ++i) {
        if (i >= 0) x += dx[ dir[ s[i] - 'A' ] ], y += dy[ dir[ s[i] - 'A' ] ];
        set_.insert(array<ll, 2>{ x, y } );
    }
    for (auto _ : set_) {
        ans += (set_.find(array<ll, 2>{ _[0] + 1, _[1] + 1 } ) != set_.end() &&
                set_.find(array<ll, 2>{ _[0], _[1] + 1 } ) != set_.end() &&
                set_.find(array<ll, 2>{ _[0] + 1, _[1] } ) != set_.end() );
    }
    cout << ans;
}

int32_t main () {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    cin >> n >> K >> s;
    dir['E' - 'A'] = 2;
    dir['N' - 'A'] = 1;
    dir['W' - 'A'] = 0;
    dir['S' - 'A'] = 3;

    for (int i = 0; i < n; ++i) a += dx[ dir[ s[i] - 'A' ] ], b += dy[ dir[ s[i] - 'A' ] ];

    if (a < 0) {
        a = -a;
        for (int i = 0; i < n; ++i) {
            if (s[i] == 'E') s[i] = 'W';
            else if (s[i] == 'W') s[i] = 'E';
        }
    }

    if (b < 0) {
        b = -b;
        for (int i = 0; i < n; ++i) {
            if (s[i] == 'N') s[i] = 'S';
            else if (s[i] == 'S') s[i] = 'N';
        }
    }

    if (!a && !b) {
        specCase();
        return 0;
    }

    if (!a) {
        swap(a, b);
        for (int 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';
        }
    }

    for (int x = 0, y = 0, i = -1; i < n; ++i) {
        if (i >= 0) x += dx[ dir[ s[i] - 'A' ] ], y += dy[ dir[ s[i] - 'A' ] ];

        ll r_x, r_y, q_f, q_l;
        r_x = x % a;
        if (r_x < 0) r_x += a;
        q_f = (-r_x + x) / a;
        r_y = -(int)q_f * b + y;
        q_l = q_f + K - 1;

        type.push_back(Type(r_x, r_y, q_f, q_l) );
    }
    sort(type.begin(), type.end() ); type.erase(unique(type.begin(), type.end() ), type.end() );

    for (int i = 0; i < (int)type.size(); ++i) {
        vecAns.clear();
        get(type[i].r_x, type[i].r_y, 0, 0);
        get(type[i].r_x, type[i].r_y + 1, 0, 1);
        get(type[i].r_x + 1, type[i].r_y, 1, 0);
        get(type[i].r_x + 1, type[i].r_y + 1, 1, 1);

        int cnt[2][2], Cnt = 0; memset(cnt, 0, sizeof cnt);
        sort(vecAns.begin(), vecAns.end() );

        ll lst = -infll;
        for (auto _ : vecAns) {
            if (!cnt[ _[1] ][ _[2] ] && _[3] == 1) {
                if (Cnt == 3) lst = _[0];
                ++Cnt;
            }
            if (cnt[ _[1] ][ _[2] ] == 1 && _[3] == -1) {
                if (Cnt == 4) ans += _[0] - lst;
                --Cnt;
            }
            cnt[ _[1] ][ _[2] ] += (int)_[3];
        }
        for (int j = i + 1; j <= (int)type.size(); ++j) {
            if (j == (int)type.size() ) {
                i = j - 1;
                break ;
            }
            if (array<ll, 2>{ type[i].r_x, type[i].r_y } != array<ll, 2>{ type[j].r_x, type[j].r_y } ) {
                i = j - 1;
                break ;
            }
        }
    }

    cout << ans << '\n';

    return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 4 ms 764 KB Output is correct
28 Correct 5 ms 660 KB Output is correct
29 Correct 22 ms 2664 KB Output is correct
30 Correct 31 ms 4776 KB Output is correct
31 Correct 87 ms 4904 KB Output is correct
32 Correct 23 ms 1784 KB Output is correct
33 Correct 46 ms 4832 KB Output is correct
34 Correct 43 ms 4904 KB Output is correct
35 Correct 45 ms 4900 KB Output is correct
36 Correct 41 ms 4904 KB Output is correct
37 Correct 24 ms 2012 KB Output is correct
38 Correct 41 ms 4908 KB Output is correct
39 Correct 43 ms 4904 KB Output is correct
40 Correct 25 ms 1912 KB Output is correct
41 Correct 45 ms 4904 KB Output is correct
42 Correct 38 ms 4904 KB Output is correct
43 Correct 44 ms 4908 KB Output is correct
44 Correct 40 ms 4904 KB Output is correct
45 Correct 42 ms 4904 KB Output is correct
46 Correct 60 ms 4904 KB Output is correct
47 Correct 73 ms 4904 KB Output is correct
48 Correct 173 ms 12120 KB Output is correct
49 Correct 88 ms 4904 KB Output is correct
50 Correct 90 ms 4904 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 380 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 380 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 2 ms 380 KB Output is correct
39 Correct 2 ms 376 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 2 ms 376 KB Output is correct
43 Correct 2 ms 376 KB Output is correct
44 Correct 2 ms 376 KB Output is correct
45 Correct 2 ms 376 KB Output is correct
46 Correct 2 ms 376 KB Output is correct
47 Correct 2 ms 380 KB Output is correct
48 Correct 2 ms 376 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 2 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 4 ms 764 KB Output is correct
28 Correct 5 ms 660 KB Output is correct
29 Correct 22 ms 2664 KB Output is correct
30 Correct 31 ms 4776 KB Output is correct
31 Correct 87 ms 4904 KB Output is correct
32 Correct 23 ms 1784 KB Output is correct
33 Correct 46 ms 4832 KB Output is correct
34 Correct 43 ms 4904 KB Output is correct
35 Correct 45 ms 4900 KB Output is correct
36 Correct 41 ms 4904 KB Output is correct
37 Correct 24 ms 2012 KB Output is correct
38 Correct 41 ms 4908 KB Output is correct
39 Correct 43 ms 4904 KB Output is correct
40 Correct 25 ms 1912 KB Output is correct
41 Correct 45 ms 4904 KB Output is correct
42 Correct 38 ms 4904 KB Output is correct
43 Correct 44 ms 4908 KB Output is correct
44 Correct 40 ms 4904 KB Output is correct
45 Correct 42 ms 4904 KB Output is correct
46 Correct 60 ms 4904 KB Output is correct
47 Correct 73 ms 4904 KB Output is correct
48 Correct 173 ms 12120 KB Output is correct
49 Correct 88 ms 4904 KB Output is correct
50 Correct 90 ms 4904 KB Output is correct
51 Correct 2 ms 376 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 376 KB Output is correct
54 Correct 2 ms 376 KB Output is correct
55 Correct 2 ms 380 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 2 ms 376 KB Output is correct
58 Correct 2 ms 380 KB Output is correct
59 Correct 2 ms 376 KB Output is correct
60 Correct 2 ms 376 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 2 ms 376 KB Output is correct
63 Correct 2 ms 380 KB Output is correct
64 Correct 2 ms 376 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Correct 2 ms 376 KB Output is correct
67 Correct 2 ms 376 KB Output is correct
68 Correct 2 ms 376 KB Output is correct
69 Correct 2 ms 376 KB Output is correct
70 Correct 2 ms 376 KB Output is correct
71 Correct 2 ms 376 KB Output is correct
72 Correct 2 ms 380 KB Output is correct
73 Correct 2 ms 376 KB Output is correct
74 Correct 2 ms 376 KB Output is correct
75 Correct 2 ms 376 KB Output is correct
76 Correct 5 ms 760 KB Output is correct
77 Correct 4 ms 504 KB Output is correct
78 Correct 18 ms 1900 KB Output is correct
79 Correct 39 ms 2668 KB Output is correct
80 Correct 34 ms 4776 KB Output is correct
81 Correct 28 ms 2168 KB Output is correct
82 Correct 41 ms 4904 KB Output is correct
83 Correct 39 ms 4904 KB Output is correct
84 Correct 41 ms 4908 KB Output is correct
85 Correct 43 ms 4904 KB Output is correct
86 Correct 88 ms 9888 KB Output is correct
87 Correct 44 ms 4908 KB Output is correct
88 Correct 44 ms 4904 KB Output is correct
89 Correct 42 ms 4904 KB Output is correct
90 Correct 25 ms 2040 KB Output is correct
91 Correct 42 ms 4904 KB Output is correct
92 Correct 42 ms 4908 KB Output is correct
93 Correct 42 ms 4908 KB Output is correct
94 Correct 38 ms 4904 KB Output is correct
95 Correct 37 ms 4904 KB Output is correct
96 Correct 56 ms 4904 KB Output is correct
97 Correct 69 ms 4904 KB Output is correct
98 Correct 79 ms 12244 KB Output is correct
99 Correct 92 ms 4904 KB Output is correct
100 Correct 101 ms 4904 KB Output is correct