oj.uz

Submission #599129

# Submission time Handle Problem Language Result Execution time Memory
599129 2022-07-19T10:29:35 Z alextodoran Event Hopping (BOI22_events) C++17
100 / 100
 201 ms 78400 KB 
/**
 ____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|
 
**/
 
#include <bits/stdc++.h>
 
using namespace std;
 
typedef long long ll;
 
const int N_MAX = 100000;
const int BITS = 17;
 
int N, Q;
struct Event {
    int l, r;
};
bool operator < (const Event &e1, const Event &e2) {
    return make_pair(e1.r, e1.l) < make_pair(e2.r, e2.l);
}
Event events[N_MAX + 2];
int order[N_MAX + 2];
int id[N_MAX + 2];
 
struct SegTree {
    int left, right;
    int sum;
};
 
SegTree trees[20000000];
int curr;
 
void build (int node, int l, int r) {
    if (l == r) {
        return;
    }
    int mid = (l + r) / 2;
    trees[node].left = ++curr;
    trees[node].right = ++curr;
    build(trees[node].left, l, mid);
    build(trees[node].right, mid + 1, r);
}
void build (int node) {
    build(node, 1, N);
}
 
int update (int node, int l, int r, int upos, int uval) {
    trees[++curr] = trees[node]; node = curr;
    if (l == r) {
        trees[node].sum += uval;
        return node;
    }
    int mid = (l + r) / 2;
    if (upos <= mid) {
        trees[node].left = update(trees[node].left, l, mid, upos, uval);
    } else {
        trees[node].right = update(trees[node].right, mid + 1, r, upos, uval);
    }
    trees[node].sum = trees[trees[node].left].sum + trees[trees[node].right].sum;
    return node;
}
int update (int node, int upos, int uval) {
    if (!(1 <= upos && upos <= N)) {
        return node;
    }
    return update(node, 1, N, upos, uval);
}
 
int query (int node, int l, int r, int qpos) {
    if (qpos <= l) {
        return trees[node].sum;
    }
    int mid = (l + r) / 2;
    if (qpos <= mid) {
        return query(trees[node].left, l, mid, qpos) + trees[trees[node].right].sum;
    } else {
        return query(trees[node].right, mid + 1, r, qpos);
    }
}
int query (int node, int qpos) {
    return query(node, 1, N, qpos);
}
 
int root[N_MAX + 2];
 
int rm[N_MAX + 2][BITS];
int lg2[N_MAX + 2];
void precalc () {
    for (int i = 1; i <= N; i++) {
        rm[i][0] = i;
        lg2[i] = lg2[i - 1];
        if ((1 << (lg2[i] + 1)) <= i) {
            lg2[i]++;
        }
    }
    for (int bit = 1; bit < BITS; bit++) {
        for (int i = 1; i + (1 << bit) - 1 <= N; i++) {
            int j = rm[i][bit - 1], k = rm[i + (1 << (bit - 1))][bit - 1];
            rm[i][bit] = (events[j].l <= events[k].l ? j : k);
        }
    }
}
int rmin (int l, int r) {
    int len = r - l + 1;
    int bit = lg2[len];
    int j = rm[l][bit];
    int k = rm[r - (1 << bit) + 1][bit];
    return (events[j].l <= events[k].l ? j : k);
}
 
int minl[N_MAX + 2];
 
int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
 
    cin >> N >> Q;
    for (int i = 1; i <= N; i++) {
        cin >> events[i].l >> events[i].r;
    }
    iota(order + 1, order + N + 1, 1);
    sort(order + 1, order + N + 1, [&] (const int &i, const int &j) {
        return events[i] < events[j];
    });
    for (int i = 1; i <= N; i++) {
        id[order[i]] = i;
    }
    sort(events + 1, events + N + 1);
    precalc();
 
    root[0] = ++curr;
    build(root[0]);
    for (int i = 1; i <= N; i++) {
        int l = 1, r = i;
        while (l < r) {
            int mid = (l + r) / 2;
            if (events[i].l <= events[mid].r) {
                r = mid;
            } else {
                l = mid + 1;
            }
        }
        int j;
        if (l == i) {
            j = 0;
            minl[i] = i;
        } else {
            j = rmin(l, i - 1);
            minl[i] = minl[j];
        }
        root[i] = root[j];
        root[i] = update(root[i], i - 1, +1);
        root[i] = update(root[i], j - 1, -1);
        root[i] = update(root[i], l - 1, +1);
    }
 
    while (Q--) {
        int i, j;
        cin >> i >> j;
        i = id[i]; j = id[j];
        if (i == j) {
            cout << 0 << "\n";
        } else if (events[i].r == events[j].r) {
            cout << 1 << "\n";
        } else if (minl[j] <= i && i < j) {
            cout << query(root[j], i) << "\n";
        } else {
            cout << "impossible\n";
        }
    }
 
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 139 ms 75836 KB Output is correct
3 Correct 151 ms 78000 KB Output is correct
4 Correct 160 ms 77892 KB Output is correct
5 Correct 152 ms 75980 KB Output is correct
6 Correct 139 ms 74068 KB Output is correct
7 Correct 147 ms 73516 KB Output is correct
8 Correct 108 ms 57676 KB Output is correct
9 Correct 120 ms 57620 KB Output is correct
10 Correct 150 ms 78396 KB Output is correct
11 Correct 166 ms 70172 KB Output is correct
12 Correct 114 ms 67308 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 800 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 800 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 35 ms 3764 KB Output is correct
20 Correct 32 ms 3680 KB Output is correct
21 Correct 36 ms 4052 KB Output is correct
22 Correct 39 ms 3772 KB Output is correct
23 Correct 31 ms 3904 KB Output is correct
24 Correct 29 ms 2268 KB Output is correct
25 Correct 46 ms 3484 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 800 KB Output is correct
7 Correct 1 ms 852 KB Output is correct
8 Correct 1 ms 596 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 1 ms 852 KB Output is correct
14 Correct 1 ms 852 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 2 ms 852 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 131 ms 74260 KB Output is correct
20 Correct 132 ms 74348 KB Output is correct
21 Correct 139 ms 67312 KB Output is correct
22 Correct 120 ms 66648 KB Output is correct
23 Correct 70 ms 32764 KB Output is correct
24 Correct 130 ms 74108 KB Output is correct
25 Correct 65 ms 32760 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 159 ms 75908 KB Output is correct
2 Correct 156 ms 77968 KB Output is correct
3 Correct 157 ms 77816 KB Output is correct
4 Correct 119 ms 57568 KB Output is correct
5 Correct 174 ms 78268 KB Output is correct
6 Correct 171 ms 78052 KB Output is correct
7 Correct 176 ms 77964 KB Output is correct
8 Correct 165 ms 78284 KB Output is correct
9 Correct 72 ms 34664 KB Output is correct
10 Correct 152 ms 77660 KB Output is correct
11 Correct 141 ms 67172 KB Output is correct
12 Correct 158 ms 77616 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 139 ms 75836 KB Output is correct
3 Correct 151 ms 78000 KB Output is correct
4 Correct 160 ms 77892 KB Output is correct
5 Correct 152 ms 75980 KB Output is correct
6 Correct 139 ms 74068 KB Output is correct
7 Correct 147 ms 73516 KB Output is correct
8 Correct 108 ms 57676 KB Output is correct
9 Correct 120 ms 57620 KB Output is correct
10 Correct 150 ms 78396 KB Output is correct
11 Correct 166 ms 70172 KB Output is correct
12 Correct 114 ms 67308 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 852 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 800 KB Output is correct
19 Correct 1 ms 852 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 852 KB Output is correct
25 Correct 1 ms 852 KB Output is correct
26 Correct 1 ms 852 KB Output is correct
27 Correct 1 ms 724 KB Output is correct
28 Correct 1 ms 852 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 35 ms 3764 KB Output is correct
32 Correct 32 ms 3680 KB Output is correct
33 Correct 36 ms 4052 KB Output is correct
34 Correct 39 ms 3772 KB Output is correct
35 Correct 31 ms 3904 KB Output is correct
36 Correct 29 ms 2268 KB Output is correct
37 Correct 46 ms 3484 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 852 KB Output is correct
41 Correct 1 ms 852 KB Output is correct
42 Correct 1 ms 852 KB Output is correct
43 Correct 1 ms 724 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 600 KB Output is correct
47 Correct 131 ms 74260 KB Output is correct
48 Correct 132 ms 74348 KB Output is correct
49 Correct 139 ms 67312 KB Output is correct
50 Correct 120 ms 66648 KB Output is correct
51 Correct 70 ms 32764 KB Output is correct
52 Correct 130 ms 74108 KB Output is correct
53 Correct 65 ms 32760 KB Output is correct
54 Correct 159 ms 75908 KB Output is correct
55 Correct 156 ms 77968 KB Output is correct
56 Correct 157 ms 77816 KB Output is correct
57 Correct 119 ms 57568 KB Output is correct
58 Correct 174 ms 78268 KB Output is correct
59 Correct 171 ms 78052 KB Output is correct
60 Correct 176 ms 77964 KB Output is correct
61 Correct 165 ms 78284 KB Output is correct
62 Correct 72 ms 34664 KB Output is correct
63 Correct 152 ms 77660 KB Output is correct
64 Correct 141 ms 67172 KB Output is correct
65 Correct 158 ms 77616 KB Output is correct
66 Correct 0 ms 340 KB Output is correct
67 Correct 136 ms 77932 KB Output is correct
68 Correct 153 ms 77940 KB Output is correct
69 Correct 182 ms 77960 KB Output is correct
70 Correct 184 ms 76080 KB Output is correct
71 Correct 150 ms 74076 KB Output is correct
72 Correct 136 ms 73460 KB Output is correct
73 Correct 113 ms 57668 KB Output is correct
74 Correct 113 ms 57676 KB Output is correct
75 Correct 152 ms 78400 KB Output is correct
76 Correct 148 ms 70180 KB Output is correct
77 Correct 109 ms 67380 KB Output is correct
78 Correct 0 ms 340 KB Output is correct
79 Correct 1 ms 852 KB Output is correct
80 Correct 1 ms 860 KB Output is correct
81 Correct 1 ms 852 KB Output is correct
82 Correct 1 ms 724 KB Output is correct
83 Correct 1 ms 872 KB Output is correct
84 Correct 1 ms 596 KB Output is correct
85 Correct 1 ms 596 KB Output is correct
86 Correct 30 ms 4644 KB Output is correct
87 Correct 32 ms 4820 KB Output is correct
88 Correct 42 ms 4968 KB Output is correct
89 Correct 28 ms 4784 KB Output is correct
90 Correct 31 ms 4932 KB Output is correct
91 Correct 26 ms 3284 KB Output is correct
92 Correct 31 ms 4500 KB Output is correct
93 Correct 133 ms 76188 KB Output is correct
94 Correct 110 ms 75428 KB Output is correct
95 Correct 126 ms 69196 KB Output is correct
96 Correct 114 ms 68604 KB Output is correct
97 Correct 75 ms 34664 KB Output is correct
98 Correct 119 ms 76104 KB Output is correct
99 Correct 57 ms 34080 KB Output is correct
100 Correct 182 ms 77992 KB Output is correct
101 Correct 184 ms 78020 KB Output is correct
102 Correct 150 ms 78168 KB Output is correct
103 Correct 160 ms 77584 KB Output is correct
104 Correct 143 ms 67004 KB Output is correct
105 Correct 153 ms 77796 KB Output is correct
106 Correct 162 ms 77192 KB Output is correct
107 Correct 165 ms 77396 KB Output is correct
108 Correct 154 ms 71148 KB Output is correct
109 Correct 164 ms 71132 KB Output is correct
110 Correct 190 ms 78132 KB Output is correct
111 Correct 201 ms 77844 KB Output is correct