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Submission #1006292

# Submission time Handle Problem Language Result Execution time Memory
1006292 2024-06-23T16:57:05 Z hmm789 Flooding Wall (BOI24_wall) C++14
100 / 100
 3383 ms 248760 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define double long double
#define MOD 1000000007
#define HALF 500000004
#define INF 1000000000000000000

int p2[500005], ph[500005];

struct node {
    int s, e, m, sum, mul[3];
    node *l, *r;
    node(int _s, int _e) {
        s = _s, e = _e, m = (s+e)/2, sum = 0, mul[0] = mul[1] = mul[2] = 0;
        if(s != e) {
            l = new node(s, m);
            r = new node(m+1, e);
        }
    }
    void rmul(int x, int y, int val) {
        if(x > y) return;
        if(x <= s && e <= y) {
            if(val == -1) mul[0]--;
            else mul[val]++;
            return;
        } else if(x > m) r->rmul(x, y, val);
        else if(y <= m) l->rmul(x, y, val);
        else l->rmul(x, y, val), r->rmul(x, y, val);
        sum = (l->get() + r->get()) % MOD;
    }
    void setsum(int x, int val) {
        if(s == e) {sum = val; return;}
        else if(x > m) r->setsum(x, val);
        else l->setsum(x, val);
        sum = (l->get() + r->get()) % MOD;
    }
    int get() {
        int ans = sum;
        if(mul[0]) return 0;
        ans = ans * ph[mul[1]] % MOD;
        ans = ans * p2[mul[2]] % MOD;
        return ans;
    }
} *rt, *lt;

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    p2[0] = ph[0] = 1;
    for(int i = 1; i < 500005; i++) p2[i] = p2[i-1] * 2 % MOD;
    for(int i = 1; i < 500005; i++) ph[i] = ph[i-1] * HALF % MOD;
    int n, ans = 0;
    cin >> n;
    int a[n+1], b[n+1], cnt[n+1];
    memset(cnt, 0, sizeof(cnt));
    vector<int> dis, vec[2*n+1];
    for(int i = 1; i <= n; i++) cin >> a[i];
    for(int i = 1; i <= n; i++) cin >> b[i];
    for(int i = 1; i <= n; i++) {
        dis.push_back(a[i]);
        dis.push_back(b[i]);
        ans = (ans - (a[i]+b[i]) * p2[n-1] % MOD + MOD) % MOD;
    }
    dis.push_back(0);
    sort(dis.begin(), dis.end());
    dis.erase(unique(dis.begin(), dis.end()), dis.end());
    for(int i = 1; i <= n; i++) {
        vec[lower_bound(dis.begin(), dis.end(), a[i])-dis.begin()].push_back(i);
        vec[lower_bound(dis.begin(), dis.end(), b[i])-dis.begin()].push_back(i);
    }
    rt = new node(1, n);
    lt = new node(1, n);
    for(int i = 1; i <= n; i++) {
        rt->setsum(i, i*p2[n-1] % MOD);
        rt->rmul(i, i, 0);
        lt->setsum(i, (i-1)*p2[n-1] % MOD);
        lt->rmul(i, i, 0);
    }
    for(int i = dis.size()-1; i; i--) {
        for(int it : vec[i]) {
            cnt[it]++;
            if(cnt[it] == 1) {
                rt->rmul(it, it, -1);
                rt->rmul(1, it-1, 1);
                lt->rmul(it, it, -1);
                lt->rmul(it+1, n, 1);
            } else {
                rt->rmul(it, it, 2);
                rt->rmul(1, it-1, 0);
                lt->rmul(it, it, 2);
                lt->rmul(it+1, n, 0);
            }
        }
        ans += (rt->get() - lt->get() + MOD) % MOD * (dis[i]-dis[i-1]) % MOD;
        ans %= MOD;
    }
    cout << ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8028 KB Output is correct
2 Correct 5 ms 8284 KB Output is correct
3 Correct 5 ms 8284 KB Output is correct
4 Correct 5 ms 8284 KB Output is correct
5 Correct 5 ms 8284 KB Output is correct
6 Correct 6 ms 8284 KB Output is correct
7 Correct 5 ms 8028 KB Output is correct
8 Correct 5 ms 8028 KB Output is correct
9 Correct 6 ms 8284 KB Output is correct
10 Correct 5 ms 8276 KB Output is correct
11 Correct 5 ms 8284 KB Output is correct
12 Correct 5 ms 8284 KB Output is correct
13 Correct 5 ms 8188 KB Output is correct
14 Correct 5 ms 8272 KB Output is correct
15 Correct 5 ms 8284 KB Output is correct
16 Correct 5 ms 8284 KB Output is correct
17 Correct 5 ms 8284 KB Output is correct
18 Correct 5 ms 8284 KB Output is correct
19 Correct 5 ms 8284 KB Output is correct
20 Correct 5 ms 8284 KB Output is correct
21 Correct 5 ms 8280 KB Output is correct
22 Correct 5 ms 8284 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8284 KB Output is correct
2 Correct 5 ms 8128 KB Output is correct
3 Correct 6 ms 8284 KB Output is correct
4 Correct 6 ms 8284 KB Output is correct
5 Correct 5 ms 8144 KB Output is correct
6 Correct 5 ms 8028 KB Output is correct
7 Correct 5 ms 8284 KB Output is correct
8 Correct 6 ms 8028 KB Output is correct
9 Correct 5 ms 8276 KB Output is correct
10 Correct 5 ms 8284 KB Output is correct
11 Correct 6 ms 8284 KB Output is correct
12 Correct 6 ms 8284 KB Output is correct
13 Correct 5 ms 8284 KB Output is correct
14 Correct 5 ms 8276 KB Output is correct
15 Correct 6 ms 8284 KB Output is correct
16 Correct 6 ms 8284 KB Output is correct
17 Correct 6 ms 8284 KB Output is correct
18 Correct 6 ms 8284 KB Output is correct
19 Correct 6 ms 8284 KB Output is correct
20 Correct 5 ms 8284 KB Output is correct
21 Correct 6 ms 8284 KB Output is correct
22 Correct 6 ms 8284 KB Output is correct
23 Correct 6 ms 8284 KB Output is correct
24 Correct 6 ms 8148 KB Output is correct
25 Correct 7 ms 8284 KB Output is correct
26 Correct 6 ms 8128 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8284 KB Output is correct
2 Correct 5 ms 8128 KB Output is correct
3 Correct 6 ms 8284 KB Output is correct
4 Correct 6 ms 8284 KB Output is correct
5 Correct 5 ms 8144 KB Output is correct
6 Correct 5 ms 8028 KB Output is correct
7 Correct 5 ms 8284 KB Output is correct
8 Correct 6 ms 8028 KB Output is correct
9 Correct 5 ms 8276 KB Output is correct
10 Correct 5 ms 8284 KB Output is correct
11 Correct 6 ms 8284 KB Output is correct
12 Correct 6 ms 8284 KB Output is correct
13 Correct 5 ms 8284 KB Output is correct
14 Correct 5 ms 8276 KB Output is correct
15 Correct 6 ms 8284 KB Output is correct
16 Correct 6 ms 8284 KB Output is correct
17 Correct 6 ms 8284 KB Output is correct
18 Correct 6 ms 8284 KB Output is correct
19 Correct 6 ms 8284 KB Output is correct
20 Correct 5 ms 8284 KB Output is correct
21 Correct 6 ms 8284 KB Output is correct
22 Correct 6 ms 8284 KB Output is correct
23 Correct 6 ms 8284 KB Output is correct
24 Correct 6 ms 8148 KB Output is correct
25 Correct 7 ms 8284 KB Output is correct
26 Correct 6 ms 8128 KB Output is correct
27 Correct 37 ms 12512 KB Output is correct
28 Correct 36 ms 12468 KB Output is correct
29 Correct 34 ms 12256 KB Output is correct
30 Correct 32 ms 12256 KB Output is correct
31 Correct 31 ms 12352 KB Output is correct
32 Correct 31 ms 12528 KB Output is correct
33 Correct 31 ms 12512 KB Output is correct
34 Correct 32 ms 12256 KB Output is correct
35 Correct 31 ms 12512 KB Output is correct
36 Correct 32 ms 12256 KB Output is correct
37 Correct 30 ms 12508 KB Output is correct
38 Correct 35 ms 12512 KB Output is correct
39 Correct 32 ms 12256 KB Output is correct
40 Correct 31 ms 12256 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8028 KB Output is correct
2 Correct 5 ms 8284 KB Output is correct
3 Correct 5 ms 8284 KB Output is correct
4 Correct 5 ms 8284 KB Output is correct
5 Correct 5 ms 8284 KB Output is correct
6 Correct 6 ms 8284 KB Output is correct
7 Correct 5 ms 8028 KB Output is correct
8 Correct 5 ms 8028 KB Output is correct
9 Correct 6 ms 8284 KB Output is correct
10 Correct 5 ms 8276 KB Output is correct
11 Correct 5 ms 8284 KB Output is correct
12 Correct 5 ms 8284 KB Output is correct
13 Correct 5 ms 8188 KB Output is correct
14 Correct 5 ms 8272 KB Output is correct
15 Correct 5 ms 8284 KB Output is correct
16 Correct 5 ms 8284 KB Output is correct
17 Correct 5 ms 8284 KB Output is correct
18 Correct 5 ms 8284 KB Output is correct
19 Correct 5 ms 8284 KB Output is correct
20 Correct 5 ms 8284 KB Output is correct
21 Correct 5 ms 8280 KB Output is correct
22 Correct 5 ms 8284 KB Output is correct
23 Correct 5 ms 8284 KB Output is correct
24 Correct 5 ms 8128 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
26 Correct 6 ms 8284 KB Output is correct
27 Correct 5 ms 8144 KB Output is correct
28 Correct 5 ms 8028 KB Output is correct
29 Correct 5 ms 8284 KB Output is correct
30 Correct 6 ms 8028 KB Output is correct
31 Correct 5 ms 8276 KB Output is correct
32 Correct 5 ms 8284 KB Output is correct
33 Correct 6 ms 8284 KB Output is correct
34 Correct 6 ms 8284 KB Output is correct
35 Correct 5 ms 8284 KB Output is correct
36 Correct 5 ms 8276 KB Output is correct
37 Correct 6 ms 8284 KB Output is correct
38 Correct 6 ms 8284 KB Output is correct
39 Correct 6 ms 8284 KB Output is correct
40 Correct 6 ms 8284 KB Output is correct
41 Correct 6 ms 8284 KB Output is correct
42 Correct 5 ms 8284 KB Output is correct
43 Correct 6 ms 8284 KB Output is correct
44 Correct 6 ms 8284 KB Output is correct
45 Correct 6 ms 8284 KB Output is correct
46 Correct 6 ms 8148 KB Output is correct
47 Correct 7 ms 8284 KB Output is correct
48 Correct 6 ms 8128 KB Output is correct
49 Correct 37 ms 12512 KB Output is correct
50 Correct 36 ms 12468 KB Output is correct
51 Correct 34 ms 12256 KB Output is correct
52 Correct 32 ms 12256 KB Output is correct
53 Correct 31 ms 12352 KB Output is correct
54 Correct 31 ms 12528 KB Output is correct
55 Correct 31 ms 12512 KB Output is correct
56 Correct 32 ms 12256 KB Output is correct
57 Correct 31 ms 12512 KB Output is correct
58 Correct 32 ms 12256 KB Output is correct
59 Correct 30 ms 12508 KB Output is correct
60 Correct 35 ms 12512 KB Output is correct
61 Correct 32 ms 12256 KB Output is correct
62 Correct 31 ms 12256 KB Output is correct
63 Correct 43 ms 13276 KB Output is correct
64 Correct 39 ms 13024 KB Output is correct
65 Correct 32 ms 12512 KB Output is correct
66 Correct 31 ms 12512 KB Output is correct
67 Correct 32 ms 12512 KB Output is correct
68 Correct 32 ms 12256 KB Output is correct
69 Correct 34 ms 12512 KB Output is correct
70 Correct 36 ms 12768 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8028 KB Output is correct
2 Correct 5 ms 8284 KB Output is correct
3 Correct 5 ms 8284 KB Output is correct
4 Correct 6 ms 8288 KB Output is correct
5 Correct 5 ms 8284 KB Output is correct
6 Correct 5 ms 8092 KB Output is correct
7 Correct 6 ms 8284 KB Output is correct
8 Correct 6 ms 8280 KB Output is correct
9 Correct 5 ms 8268 KB Output is correct
10 Correct 31 ms 12256 KB Output is correct
11 Correct 31 ms 12256 KB Output is correct
12 Correct 29 ms 12512 KB Output is correct
13 Correct 31 ms 12512 KB Output is correct
14 Correct 1825 ms 217524 KB Output is correct
15 Correct 1851 ms 217788 KB Output is correct
16 Correct 1753 ms 217524 KB Output is correct
17 Correct 1703 ms 217648 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 8028 KB Output is correct
2 Correct 5 ms 8284 KB Output is correct
3 Correct 5 ms 8284 KB Output is correct
4 Correct 5 ms 8284 KB Output is correct
5 Correct 5 ms 8284 KB Output is correct
6 Correct 6 ms 8284 KB Output is correct
7 Correct 5 ms 8028 KB Output is correct
8 Correct 5 ms 8028 KB Output is correct
9 Correct 6 ms 8284 KB Output is correct
10 Correct 5 ms 8276 KB Output is correct
11 Correct 5 ms 8284 KB Output is correct
12 Correct 5 ms 8284 KB Output is correct
13 Correct 5 ms 8188 KB Output is correct
14 Correct 5 ms 8272 KB Output is correct
15 Correct 5 ms 8284 KB Output is correct
16 Correct 5 ms 8284 KB Output is correct
17 Correct 5 ms 8284 KB Output is correct
18 Correct 5 ms 8284 KB Output is correct
19 Correct 5 ms 8284 KB Output is correct
20 Correct 5 ms 8284 KB Output is correct
21 Correct 5 ms 8280 KB Output is correct
22 Correct 5 ms 8284 KB Output is correct
23 Correct 5 ms 8284 KB Output is correct
24 Correct 5 ms 8128 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
26 Correct 6 ms 8284 KB Output is correct
27 Correct 5 ms 8144 KB Output is correct
28 Correct 5 ms 8028 KB Output is correct
29 Correct 5 ms 8284 KB Output is correct
30 Correct 6 ms 8028 KB Output is correct
31 Correct 5 ms 8276 KB Output is correct
32 Correct 5 ms 8284 KB Output is correct
33 Correct 6 ms 8284 KB Output is correct
34 Correct 6 ms 8284 KB Output is correct
35 Correct 5 ms 8284 KB Output is correct
36 Correct 5 ms 8276 KB Output is correct
37 Correct 6 ms 8284 KB Output is correct
38 Correct 6 ms 8284 KB Output is correct
39 Correct 6 ms 8284 KB Output is correct
40 Correct 6 ms 8284 KB Output is correct
41 Correct 6 ms 8284 KB Output is correct
42 Correct 5 ms 8284 KB Output is correct
43 Correct 6 ms 8284 KB Output is correct
44 Correct 6 ms 8284 KB Output is correct
45 Correct 6 ms 8284 KB Output is correct
46 Correct 6 ms 8148 KB Output is correct
47 Correct 7 ms 8284 KB Output is correct
48 Correct 6 ms 8128 KB Output is correct
49 Correct 37 ms 12512 KB Output is correct
50 Correct 36 ms 12468 KB Output is correct
51 Correct 34 ms 12256 KB Output is correct
52 Correct 32 ms 12256 KB Output is correct
53 Correct 31 ms 12352 KB Output is correct
54 Correct 31 ms 12528 KB Output is correct
55 Correct 31 ms 12512 KB Output is correct
56 Correct 32 ms 12256 KB Output is correct
57 Correct 31 ms 12512 KB Output is correct
58 Correct 32 ms 12256 KB Output is correct
59 Correct 30 ms 12508 KB Output is correct
60 Correct 35 ms 12512 KB Output is correct
61 Correct 32 ms 12256 KB Output is correct
62 Correct 31 ms 12256 KB Output is correct
63 Correct 43 ms 13276 KB Output is correct
64 Correct 39 ms 13024 KB Output is correct
65 Correct 32 ms 12512 KB Output is correct
66 Correct 31 ms 12512 KB Output is correct
67 Correct 32 ms 12512 KB Output is correct
68 Correct 32 ms 12256 KB Output is correct
69 Correct 34 ms 12512 KB Output is correct
70 Correct 36 ms 12768 KB Output is correct
71 Correct 6 ms 8028 KB Output is correct
72 Correct 5 ms 8284 KB Output is correct
73 Correct 5 ms 8284 KB Output is correct
74 Correct 6 ms 8288 KB Output is correct
75 Correct 5 ms 8284 KB Output is correct
76 Correct 5 ms 8092 KB Output is correct
77 Correct 6 ms 8284 KB Output is correct
78 Correct 6 ms 8280 KB Output is correct
79 Correct 5 ms 8268 KB Output is correct
80 Correct 31 ms 12256 KB Output is correct
81 Correct 31 ms 12256 KB Output is correct
82 Correct 29 ms 12512 KB Output is correct
83 Correct 31 ms 12512 KB Output is correct
84 Correct 1825 ms 217524 KB Output is correct
85 Correct 1851 ms 217788 KB Output is correct
86 Correct 1753 ms 217524 KB Output is correct
87 Correct 1703 ms 217648 KB Output is correct
88 Correct 3294 ms 248760 KB Output is correct
89 Correct 3383 ms 248756 KB Output is correct
90 Correct 1798 ms 218552 KB Output is correct
91 Correct 1833 ms 226748 KB Output is correct
92 Correct 1687 ms 218692 KB Output is correct
93 Correct 1657 ms 218552 KB Output is correct
94 Correct 1757 ms 226400 KB Output is correct
95 Correct 1782 ms 218784 KB Output is correct
96 Correct 1954 ms 225720 KB Output is correct
97 Correct 2117 ms 225720 KB Output is correct