답안 #834075

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
834075 2023-08-22T10:35:40 Z LucaIlie Port Facility (JOI17_port_facility) C++17
100 / 100
3131 ms 239996 KB
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 2e6;
const int INF = 1e9;
const int MOD = 1e9 + 7;

int n;
bool vis[MAX_N], side[MAX_N];
int l[MAX_N], r[MAX_N], p[MAX_N];
int indexL[2 * MAX_N + 1], indexR[2 * MAX_N + 1];

struct SEG_TREE {
    int segTree[4 * MAX_N];

    void init() {
        for ( int v = 0; v < 4 * MAX_N; v++ )
            segTree[v] = -INF;
    }

    void update( int v, int l, int r, int pos, int x ) {
        if ( l > pos || r < pos )
            return;

        if ( l == r ) {
            segTree[v] = x;
            return;
        }

        int mid = (l + r) / 2;
        update( v * 2 + 1, l, mid, pos, x );
        update( v * 2 + 2, mid + 1, r, pos, x );
        segTree[v] = max( segTree[v * 2 + 1], segTree[v * 2 + 2] );
    }

    int query( int v, int l, int r, int lq, int rq ) {
        if ( l > rq || r < lq )
            return -INF;

        if ( lq <= l && r <= rq )
            return segTree[v];

        int mid = (l + r) / 2;
        return max( query( v * 2 + 1, l, mid, lq, rq ), query( v * 2 + 2, mid + 1, r, lq, rq ) );
    }
};

SEG_TREE unvisitedByL, unvisitedByR, visitedByL, visitedByR;

void checkBipartit( int u ) {
    vis[u] = true;
    unvisitedByL.update( 0, 1, 2 * n, l[u], -INF );
    unvisitedByR.update( 0, 1, 2 * n, r[u], -INF );

    int rr = unvisitedByL.query( 0, 1, 2 * n, l[u], r[u] );
    while ( rr > r[u] ) {
        int v = indexR[rr];
        side[v] = side[u] ^ 1;
        checkBipartit( v );
        rr = unvisitedByL.query( 0, 1, 2 * n, l[u], r[u] );
    }
    int ll = -unvisitedByR.query( 0, 1, 2 * n, l[u], r[u] );
    while ( ll < l[u] ) {
        int v = indexL[ll];
        side[v] = side[u] ^ 1;
        checkBipartit( v );
        ll = -unvisitedByR.query( 0, 1, 2 * n, l[u], r[u] );
    }
}

int ll[MAX_N], rr[MAX_N];

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

    cin >> n;
    for ( int i = 0; i < n; i++ )
        cin >> l[i] >> r[i], p[i] = i;
    sort( p, p + n, []( int i, int j ) {
        return l[i] < l[j];
    } );
    for ( int i = 0; i < n; i++ )
        ll[i] = l[p[i]], rr[i] = r[p[i]];
    for ( int i = 0; i < n; i++ )
        l[i] = ll[i], r[i] = rr[i];

    unvisitedByL.init();
    unvisitedByR.init();
    for ( int i = 0; i < n; i++ ) {
        unvisitedByL.update( 0, 1, 2 * n, l[i], r[i] );
        unvisitedByR.update( 0, 1, 2 * n, r[i], -l[i] );
        indexL[l[i]] = i;
        indexR[r[i]] = i;
    }

    int comp = 0;
    for ( int u = 0; u < n; u++ ) {
        if ( !vis[u] ) {
            side[u] = 0;
            checkBipartit( u );
            comp++;
        }
    }

    bool bipartit = true;
    visitedByR.init();
    for ( int i = 0; i < n; i++ ) {
        if ( side[i] == 1 )
            continue;
        if ( -visitedByR.query( 0, 1, 2 * n, l[i], r[i] ) < l[i] )
            bipartit = false;
        visitedByR.update( 0, 1, 2 * n, r[i], -l[i] );
    }
    visitedByR.init();
    for ( int i = 0; i < n; i++ ) {
        if ( side[i] == 0 )
            continue;
        if ( -visitedByR.query( 0, 1, 2 * n, l[i], r[i] ) < l[i] )
            bipartit = false;
        visitedByR.update( 0, 1, 2 * n, r[i], -l[i] );
    }

    if ( bipartit ) {
        int ans = 1;
        for ( int i = 0; i < comp; i++ )
            ans = ans * 2 % MOD;
        cout << ans;
    } else
        cout << 0;

    return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 42 ms 94284 KB Output is correct
2 Correct 41 ms 94340 KB Output is correct
3 Correct 43 ms 94224 KB Output is correct
4 Correct 41 ms 94284 KB Output is correct
5 Correct 41 ms 94284 KB Output is correct
6 Correct 43 ms 94292 KB Output is correct
7 Correct 43 ms 94292 KB Output is correct
8 Correct 41 ms 94284 KB Output is correct
9 Correct 42 ms 94240 KB Output is correct
10 Correct 41 ms 94316 KB Output is correct
11 Correct 42 ms 94284 KB Output is correct
12 Correct 41 ms 94292 KB Output is correct
13 Correct 40 ms 94196 KB Output is correct
14 Correct 41 ms 94284 KB Output is correct
15 Correct 43 ms 94396 KB Output is correct
16 Correct 41 ms 94280 KB Output is correct
17 Correct 40 ms 94292 KB Output is correct
18 Correct 42 ms 94284 KB Output is correct
19 Correct 41 ms 94292 KB Output is correct
20 Correct 45 ms 94284 KB Output is correct
21 Correct 42 ms 94284 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 51 ms 94284 KB Output is correct
24 Correct 43 ms 94216 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 42 ms 94284 KB Output is correct
2 Correct 41 ms 94340 KB Output is correct
3 Correct 43 ms 94224 KB Output is correct
4 Correct 41 ms 94284 KB Output is correct
5 Correct 41 ms 94284 KB Output is correct
6 Correct 43 ms 94292 KB Output is correct
7 Correct 43 ms 94292 KB Output is correct
8 Correct 41 ms 94284 KB Output is correct
9 Correct 42 ms 94240 KB Output is correct
10 Correct 41 ms 94316 KB Output is correct
11 Correct 42 ms 94284 KB Output is correct
12 Correct 41 ms 94292 KB Output is correct
13 Correct 40 ms 94196 KB Output is correct
14 Correct 41 ms 94284 KB Output is correct
15 Correct 43 ms 94396 KB Output is correct
16 Correct 41 ms 94280 KB Output is correct
17 Correct 40 ms 94292 KB Output is correct
18 Correct 42 ms 94284 KB Output is correct
19 Correct 41 ms 94292 KB Output is correct
20 Correct 45 ms 94284 KB Output is correct
21 Correct 42 ms 94284 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 51 ms 94284 KB Output is correct
24 Correct 43 ms 94216 KB Output is correct
25 Correct 45 ms 94412 KB Output is correct
26 Correct 44 ms 94412 KB Output is correct
27 Correct 48 ms 94404 KB Output is correct
28 Correct 44 ms 94412 KB Output is correct
29 Correct 44 ms 94424 KB Output is correct
30 Correct 43 ms 94420 KB Output is correct
31 Correct 44 ms 94412 KB Output is correct
32 Correct 49 ms 94412 KB Output is correct
33 Correct 46 ms 94436 KB Output is correct
34 Correct 43 ms 94400 KB Output is correct
35 Correct 43 ms 94288 KB Output is correct
36 Correct 46 ms 94292 KB Output is correct
37 Correct 54 ms 94556 KB Output is correct
38 Correct 42 ms 94412 KB Output is correct
39 Correct 42 ms 94392 KB Output is correct
40 Correct 44 ms 94292 KB Output is correct
41 Correct 43 ms 94540 KB Output is correct
42 Correct 45 ms 94504 KB Output is correct
43 Correct 46 ms 94504 KB Output is correct
44 Correct 52 ms 94540 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 42 ms 94284 KB Output is correct
2 Correct 41 ms 94340 KB Output is correct
3 Correct 43 ms 94224 KB Output is correct
4 Correct 41 ms 94284 KB Output is correct
5 Correct 41 ms 94284 KB Output is correct
6 Correct 43 ms 94292 KB Output is correct
7 Correct 43 ms 94292 KB Output is correct
8 Correct 41 ms 94284 KB Output is correct
9 Correct 42 ms 94240 KB Output is correct
10 Correct 41 ms 94316 KB Output is correct
11 Correct 42 ms 94284 KB Output is correct
12 Correct 41 ms 94292 KB Output is correct
13 Correct 40 ms 94196 KB Output is correct
14 Correct 41 ms 94284 KB Output is correct
15 Correct 43 ms 94396 KB Output is correct
16 Correct 41 ms 94280 KB Output is correct
17 Correct 40 ms 94292 KB Output is correct
18 Correct 42 ms 94284 KB Output is correct
19 Correct 41 ms 94292 KB Output is correct
20 Correct 45 ms 94284 KB Output is correct
21 Correct 42 ms 94284 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 51 ms 94284 KB Output is correct
24 Correct 43 ms 94216 KB Output is correct
25 Correct 45 ms 94412 KB Output is correct
26 Correct 44 ms 94412 KB Output is correct
27 Correct 48 ms 94404 KB Output is correct
28 Correct 44 ms 94412 KB Output is correct
29 Correct 44 ms 94424 KB Output is correct
30 Correct 43 ms 94420 KB Output is correct
31 Correct 44 ms 94412 KB Output is correct
32 Correct 49 ms 94412 KB Output is correct
33 Correct 46 ms 94436 KB Output is correct
34 Correct 43 ms 94400 KB Output is correct
35 Correct 43 ms 94288 KB Output is correct
36 Correct 46 ms 94292 KB Output is correct
37 Correct 54 ms 94556 KB Output is correct
38 Correct 42 ms 94412 KB Output is correct
39 Correct 42 ms 94392 KB Output is correct
40 Correct 44 ms 94292 KB Output is correct
41 Correct 43 ms 94540 KB Output is correct
42 Correct 45 ms 94504 KB Output is correct
43 Correct 46 ms 94504 KB Output is correct
44 Correct 52 ms 94540 KB Output is correct
45 Correct 168 ms 99252 KB Output is correct
46 Correct 170 ms 100552 KB Output is correct
47 Correct 180 ms 98384 KB Output is correct
48 Correct 170 ms 100540 KB Output is correct
49 Correct 172 ms 98680 KB Output is correct
50 Correct 190 ms 100236 KB Output is correct
51 Correct 182 ms 100172 KB Output is correct
52 Correct 139 ms 98016 KB Output is correct
53 Correct 148 ms 97224 KB Output is correct
54 Correct 178 ms 106572 KB Output is correct
55 Correct 170 ms 101960 KB Output is correct
56 Correct 173 ms 101956 KB Output is correct
57 Correct 142 ms 97996 KB Output is correct
58 Correct 135 ms 98028 KB Output is correct
59 Correct 146 ms 97996 KB Output is correct
60 Correct 188 ms 97984 KB Output is correct
61 Correct 170 ms 98016 KB Output is correct
62 Correct 150 ms 98032 KB Output is correct
63 Correct 160 ms 97936 KB Output is correct
64 Correct 180 ms 97972 KB Output is correct
65 Correct 230 ms 107028 KB Output is correct
66 Correct 240 ms 106980 KB Output is correct
67 Correct 175 ms 102220 KB Output is correct
68 Correct 186 ms 102264 KB Output is correct
69 Correct 190 ms 101732 KB Output is correct
70 Correct 190 ms 101808 KB Output is correct
71 Correct 208 ms 106700 KB Output is correct
72 Correct 174 ms 106624 KB Output is correct
73 Correct 175 ms 103500 KB Output is correct
74 Correct 215 ms 103604 KB Output is correct
75 Correct 153 ms 107332 KB Output is correct
76 Correct 158 ms 107384 KB Output is correct
77 Correct 150 ms 107312 KB Output is correct
78 Correct 167 ms 100332 KB Output is correct
79 Correct 168 ms 99472 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 42 ms 94284 KB Output is correct
2 Correct 41 ms 94340 KB Output is correct
3 Correct 43 ms 94224 KB Output is correct
4 Correct 41 ms 94284 KB Output is correct
5 Correct 41 ms 94284 KB Output is correct
6 Correct 43 ms 94292 KB Output is correct
7 Correct 43 ms 94292 KB Output is correct
8 Correct 41 ms 94284 KB Output is correct
9 Correct 42 ms 94240 KB Output is correct
10 Correct 41 ms 94316 KB Output is correct
11 Correct 42 ms 94284 KB Output is correct
12 Correct 41 ms 94292 KB Output is correct
13 Correct 40 ms 94196 KB Output is correct
14 Correct 41 ms 94284 KB Output is correct
15 Correct 43 ms 94396 KB Output is correct
16 Correct 41 ms 94280 KB Output is correct
17 Correct 40 ms 94292 KB Output is correct
18 Correct 42 ms 94284 KB Output is correct
19 Correct 41 ms 94292 KB Output is correct
20 Correct 45 ms 94284 KB Output is correct
21 Correct 42 ms 94284 KB Output is correct
22 Correct 44 ms 94284 KB Output is correct
23 Correct 51 ms 94284 KB Output is correct
24 Correct 43 ms 94216 KB Output is correct
25 Correct 45 ms 94412 KB Output is correct
26 Correct 44 ms 94412 KB Output is correct
27 Correct 48 ms 94404 KB Output is correct
28 Correct 44 ms 94412 KB Output is correct
29 Correct 44 ms 94424 KB Output is correct
30 Correct 43 ms 94420 KB Output is correct
31 Correct 44 ms 94412 KB Output is correct
32 Correct 49 ms 94412 KB Output is correct
33 Correct 46 ms 94436 KB Output is correct
34 Correct 43 ms 94400 KB Output is correct
35 Correct 43 ms 94288 KB Output is correct
36 Correct 46 ms 94292 KB Output is correct
37 Correct 54 ms 94556 KB Output is correct
38 Correct 42 ms 94412 KB Output is correct
39 Correct 42 ms 94392 KB Output is correct
40 Correct 44 ms 94292 KB Output is correct
41 Correct 43 ms 94540 KB Output is correct
42 Correct 45 ms 94504 KB Output is correct
43 Correct 46 ms 94504 KB Output is correct
44 Correct 52 ms 94540 KB Output is correct
45 Correct 168 ms 99252 KB Output is correct
46 Correct 170 ms 100552 KB Output is correct
47 Correct 180 ms 98384 KB Output is correct
48 Correct 170 ms 100540 KB Output is correct
49 Correct 172 ms 98680 KB Output is correct
50 Correct 190 ms 100236 KB Output is correct
51 Correct 182 ms 100172 KB Output is correct
52 Correct 139 ms 98016 KB Output is correct
53 Correct 148 ms 97224 KB Output is correct
54 Correct 178 ms 106572 KB Output is correct
55 Correct 170 ms 101960 KB Output is correct
56 Correct 173 ms 101956 KB Output is correct
57 Correct 142 ms 97996 KB Output is correct
58 Correct 135 ms 98028 KB Output is correct
59 Correct 146 ms 97996 KB Output is correct
60 Correct 188 ms 97984 KB Output is correct
61 Correct 170 ms 98016 KB Output is correct
62 Correct 150 ms 98032 KB Output is correct
63 Correct 160 ms 97936 KB Output is correct
64 Correct 180 ms 97972 KB Output is correct
65 Correct 230 ms 107028 KB Output is correct
66 Correct 240 ms 106980 KB Output is correct
67 Correct 175 ms 102220 KB Output is correct
68 Correct 186 ms 102264 KB Output is correct
69 Correct 190 ms 101732 KB Output is correct
70 Correct 190 ms 101808 KB Output is correct
71 Correct 208 ms 106700 KB Output is correct
72 Correct 174 ms 106624 KB Output is correct
73 Correct 175 ms 103500 KB Output is correct
74 Correct 215 ms 103604 KB Output is correct
75 Correct 153 ms 107332 KB Output is correct
76 Correct 158 ms 107384 KB Output is correct
77 Correct 150 ms 107312 KB Output is correct
78 Correct 167 ms 100332 KB Output is correct
79 Correct 168 ms 99472 KB Output is correct
80 Correct 1512 ms 137532 KB Output is correct
81 Correct 1562 ms 150708 KB Output is correct
82 Correct 1548 ms 147436 KB Output is correct
83 Correct 1565 ms 150816 KB Output is correct
84 Correct 1530 ms 151868 KB Output is correct
85 Correct 1508 ms 147720 KB Output is correct
86 Correct 1552 ms 150892 KB Output is correct
87 Correct 1119 ms 146056 KB Output is correct
88 Correct 1312 ms 138232 KB Output is correct
89 Correct 1564 ms 232100 KB Output is correct
90 Correct 1543 ms 185232 KB Output is correct
91 Correct 1556 ms 185132 KB Output is correct
92 Correct 1192 ms 146048 KB Output is correct
93 Correct 1085 ms 145968 KB Output is correct
94 Correct 1294 ms 146052 KB Output is correct
95 Correct 1392 ms 146060 KB Output is correct
96 Correct 1422 ms 146232 KB Output is correct
97 Correct 1332 ms 146052 KB Output is correct
98 Correct 1386 ms 146060 KB Output is correct
99 Correct 1422 ms 146020 KB Output is correct
100 Correct 3131 ms 236092 KB Output is correct
101 Correct 3004 ms 236084 KB Output is correct
102 Correct 1629 ms 189292 KB Output is correct
103 Correct 1570 ms 188948 KB Output is correct
104 Correct 1558 ms 183888 KB Output is correct
105 Correct 1558 ms 184056 KB Output is correct
106 Correct 1523 ms 232168 KB Output is correct
107 Correct 1512 ms 232176 KB Output is correct
108 Correct 1579 ms 200852 KB Output is correct
109 Correct 1574 ms 200772 KB Output is correct
110 Correct 1284 ms 239984 KB Output is correct
111 Correct 1246 ms 239996 KB Output is correct
112 Correct 1293 ms 239892 KB Output is correct
113 Correct 1466 ms 146828 KB Output is correct
114 Correct 1510 ms 150604 KB Output is correct