Submission #209678

# Submission time Handle Problem Language Result Execution time Memory
209678 2020-03-15T06:06:48 Z maomao90 Mountains (NOI20_mountains) C++14
100 / 100
760 ms 43128 KB
#include <cstdio>
#include <set>
#include <utility>
#include <map>
#include <vector>
#include <cstring>

using namespace std;

typedef pair<long long, int> li;

//#define DEBUG

/*
int n;
long long mountain[300005];
multiset <li> lower, upper;
long long ans;

int main1(), main2();

int main()
{
    scanf("%d", &n);
    if (n <= 10000) main1();
    else main2();
}

int main1()
{
    for (int i = 0; i < n; i++)
    {
        scanf("%lld", &mountain[i]);
        if (i == 0) lower.insert(li(mountain[i], i));
        else if (i > 1) upper.insert(li(mountain[i], i));
    }

    for (int i = 1; i < n - 1; i++)
    {
        #ifdef DEBUG
        printf("Lower:");
        for (auto &it : lower)
        {
            printf(" (%d, %d)", it.first, it.second);
        }
        printf("\nUpper:");
        for (auto &it : upper)
        {
            printf(" (%d, %d)", it.first, it.second);
        }
        printf("\n");
        #endif // DEBUG

        multiset <li> :: iterator lowerbound = lower.lower_bound(li(mountain[i], -1));
        multiset <li> :: iterator upperbound = upper.lower_bound(li(mountain[i], -1));
        long long numLower = distance(lower.begin(), lowerbound);
        long long numUpper = distance(upper.begin(), upperbound);

        #ifdef DEBUG
        printf("numLower: %d; numUpper: %d\n\n", numLower, numUpper);
        #endif // DEBUG

        ans += numLower * numUpper;
        lower.insert(li(mountain[i], i));
        upper.erase(li(mountain[i + 1], i + 1));
    }
    printf("%lld\n", ans);
    return 0;
}
*/

int n;
long long mountain[300005];
set <long long> sorted;
int newMountain[300005];
map <long long, int> key;
int lower[300005], upper[300005];
long long res;

int fenwick[1000005];

void update(int a, long long v)
{
    while (a < n + 5)
    {
        fenwick[a] += v;
        a += a & (-a);
    }
}

int query(int a)
{
    int ans = 0;
    while (a > 0)
    {
        ans += fenwick[a];
        a -= a & (-a);
    }
    return ans;
}

int main()
{
    scanf("%d", &n);
    for (int i = 0; i < n; i++)
    {
        scanf("%lld", &mountain[i]);
        sorted.insert(mountain[i]);
    }
    int counter = 1;
    for (auto &it : sorted) key[it] = counter++;
    for (int i = 0; i < n; i++) newMountain[i] = key[mountain[i]];

    #ifdef DEBUG
    printf("newMountain:");
    for (int i = 0; i < n; i++) printf(" %d", newMountain[i]);
    printf("\n");
    #endif // DEBUG

    for (int i = 1; i < n - 1; i++)
    {
        update(newMountain[i - 1], 1); lower[i] = query(newMountain[i] - 1);
    }
    memset(fenwick, 0, sizeof(fenwick));
    for (int i = n - 2; i > 0; i--)
    {
        update(newMountain[i + 1], 1); upper[i] = query(newMountain[i] - 1);
    }
    for (int i = 1; i < n - 1; i++)
    {
        res += (long long) lower[i] * upper[i];
    }
    printf("%lld\n", res);
    return 0;
}

/*
5
0 1 1 0 1
*/

Compilation message

Mountains.cpp: In function 'int main()':
Mountains.cpp:104:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &n);
     ~~~~~^~~~~~~~~~
Mountains.cpp:107:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%lld", &mountain[i]);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 300 ms 43128 KB Output is correct
3 Correct 302 ms 43000 KB Output is correct
4 Correct 308 ms 42916 KB Output is correct
5 Correct 301 ms 43000 KB Output is correct
6 Correct 311 ms 42976 KB Output is correct
7 Correct 308 ms 43000 KB Output is correct
8 Correct 307 ms 43000 KB Output is correct
9 Correct 220 ms 27128 KB Output is correct
10 Correct 217 ms 27128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 10104 KB Output is correct
2 Correct 84 ms 10104 KB Output is correct
3 Correct 70 ms 10104 KB Output is correct
4 Correct 70 ms 10104 KB Output is correct
5 Correct 68 ms 10104 KB Output is correct
6 Correct 68 ms 10104 KB Output is correct
7 Correct 70 ms 10108 KB Output is correct
8 Correct 71 ms 10104 KB Output is correct
9 Correct 66 ms 10104 KB Output is correct
10 Correct 7 ms 4216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 10104 KB Output is correct
2 Correct 84 ms 10104 KB Output is correct
3 Correct 70 ms 10104 KB Output is correct
4 Correct 70 ms 10104 KB Output is correct
5 Correct 68 ms 10104 KB Output is correct
6 Correct 68 ms 10104 KB Output is correct
7 Correct 70 ms 10108 KB Output is correct
8 Correct 71 ms 10104 KB Output is correct
9 Correct 66 ms 10104 KB Output is correct
10 Correct 7 ms 4216 KB Output is correct
11 Correct 99 ms 10104 KB Output is correct
12 Correct 94 ms 10104 KB Output is correct
13 Correct 92 ms 10104 KB Output is correct
14 Correct 97 ms 10104 KB Output is correct
15 Correct 99 ms 10104 KB Output is correct
16 Correct 94 ms 10104 KB Output is correct
17 Correct 99 ms 10104 KB Output is correct
18 Correct 69 ms 10104 KB Output is correct
19 Correct 73 ms 10104 KB Output is correct
20 Correct 7 ms 4216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4344 KB Output is correct
2 Correct 7 ms 4344 KB Output is correct
3 Correct 7 ms 4344 KB Output is correct
4 Correct 7 ms 4344 KB Output is correct
5 Correct 7 ms 4344 KB Output is correct
6 Correct 7 ms 4348 KB Output is correct
7 Correct 7 ms 4344 KB Output is correct
8 Correct 7 ms 4216 KB Output is correct
9 Correct 7 ms 4216 KB Output is correct
10 Correct 7 ms 4220 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4344 KB Output is correct
2 Correct 7 ms 4344 KB Output is correct
3 Correct 7 ms 4344 KB Output is correct
4 Correct 7 ms 4344 KB Output is correct
5 Correct 7 ms 4344 KB Output is correct
6 Correct 7 ms 4348 KB Output is correct
7 Correct 7 ms 4344 KB Output is correct
8 Correct 7 ms 4216 KB Output is correct
9 Correct 7 ms 4216 KB Output is correct
10 Correct 7 ms 4220 KB Output is correct
11 Correct 17 ms 5496 KB Output is correct
12 Correct 17 ms 5496 KB Output is correct
13 Correct 18 ms 5496 KB Output is correct
14 Correct 16 ms 5496 KB Output is correct
15 Correct 18 ms 5496 KB Output is correct
16 Correct 16 ms 5496 KB Output is correct
17 Correct 16 ms 5496 KB Output is correct
18 Correct 13 ms 4856 KB Output is correct
19 Correct 10 ms 4472 KB Output is correct
20 Correct 7 ms 4216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 73 ms 10104 KB Output is correct
2 Correct 84 ms 10104 KB Output is correct
3 Correct 70 ms 10104 KB Output is correct
4 Correct 70 ms 10104 KB Output is correct
5 Correct 68 ms 10104 KB Output is correct
6 Correct 68 ms 10104 KB Output is correct
7 Correct 70 ms 10108 KB Output is correct
8 Correct 71 ms 10104 KB Output is correct
9 Correct 66 ms 10104 KB Output is correct
10 Correct 7 ms 4216 KB Output is correct
11 Correct 99 ms 10104 KB Output is correct
12 Correct 94 ms 10104 KB Output is correct
13 Correct 92 ms 10104 KB Output is correct
14 Correct 97 ms 10104 KB Output is correct
15 Correct 99 ms 10104 KB Output is correct
16 Correct 94 ms 10104 KB Output is correct
17 Correct 99 ms 10104 KB Output is correct
18 Correct 69 ms 10104 KB Output is correct
19 Correct 73 ms 10104 KB Output is correct
20 Correct 7 ms 4216 KB Output is correct
21 Correct 339 ms 20472 KB Output is correct
22 Correct 363 ms 20472 KB Output is correct
23 Correct 369 ms 20472 KB Output is correct
24 Correct 380 ms 20472 KB Output is correct
25 Correct 356 ms 20472 KB Output is correct
26 Correct 330 ms 20476 KB Output is correct
27 Correct 328 ms 20472 KB Output is correct
28 Correct 155 ms 20600 KB Output is correct
29 Correct 163 ms 20472 KB Output is correct
30 Correct 7 ms 4216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4212 KB Output is correct
2 Correct 300 ms 43128 KB Output is correct
3 Correct 302 ms 43000 KB Output is correct
4 Correct 308 ms 42916 KB Output is correct
5 Correct 301 ms 43000 KB Output is correct
6 Correct 311 ms 42976 KB Output is correct
7 Correct 308 ms 43000 KB Output is correct
8 Correct 307 ms 43000 KB Output is correct
9 Correct 220 ms 27128 KB Output is correct
10 Correct 217 ms 27128 KB Output is correct
11 Correct 73 ms 10104 KB Output is correct
12 Correct 84 ms 10104 KB Output is correct
13 Correct 70 ms 10104 KB Output is correct
14 Correct 70 ms 10104 KB Output is correct
15 Correct 68 ms 10104 KB Output is correct
16 Correct 68 ms 10104 KB Output is correct
17 Correct 70 ms 10108 KB Output is correct
18 Correct 71 ms 10104 KB Output is correct
19 Correct 66 ms 10104 KB Output is correct
20 Correct 7 ms 4216 KB Output is correct
21 Correct 99 ms 10104 KB Output is correct
22 Correct 94 ms 10104 KB Output is correct
23 Correct 92 ms 10104 KB Output is correct
24 Correct 97 ms 10104 KB Output is correct
25 Correct 99 ms 10104 KB Output is correct
26 Correct 94 ms 10104 KB Output is correct
27 Correct 99 ms 10104 KB Output is correct
28 Correct 69 ms 10104 KB Output is correct
29 Correct 73 ms 10104 KB Output is correct
30 Correct 7 ms 4216 KB Output is correct
31 Correct 7 ms 4344 KB Output is correct
32 Correct 7 ms 4344 KB Output is correct
33 Correct 7 ms 4344 KB Output is correct
34 Correct 7 ms 4344 KB Output is correct
35 Correct 7 ms 4344 KB Output is correct
36 Correct 7 ms 4348 KB Output is correct
37 Correct 7 ms 4344 KB Output is correct
38 Correct 7 ms 4216 KB Output is correct
39 Correct 7 ms 4216 KB Output is correct
40 Correct 7 ms 4220 KB Output is correct
41 Correct 17 ms 5496 KB Output is correct
42 Correct 17 ms 5496 KB Output is correct
43 Correct 18 ms 5496 KB Output is correct
44 Correct 16 ms 5496 KB Output is correct
45 Correct 18 ms 5496 KB Output is correct
46 Correct 16 ms 5496 KB Output is correct
47 Correct 16 ms 5496 KB Output is correct
48 Correct 13 ms 4856 KB Output is correct
49 Correct 10 ms 4472 KB Output is correct
50 Correct 7 ms 4216 KB Output is correct
51 Correct 339 ms 20472 KB Output is correct
52 Correct 363 ms 20472 KB Output is correct
53 Correct 369 ms 20472 KB Output is correct
54 Correct 380 ms 20472 KB Output is correct
55 Correct 356 ms 20472 KB Output is correct
56 Correct 330 ms 20476 KB Output is correct
57 Correct 328 ms 20472 KB Output is correct
58 Correct 155 ms 20600 KB Output is correct
59 Correct 163 ms 20472 KB Output is correct
60 Correct 7 ms 4216 KB Output is correct
61 Correct 760 ms 42976 KB Output is correct
62 Correct 742 ms 43000 KB Output is correct
63 Correct 746 ms 43000 KB Output is correct
64 Correct 740 ms 43000 KB Output is correct
65 Correct 749 ms 43000 KB Output is correct
66 Correct 736 ms 42900 KB Output is correct
67 Correct 752 ms 43008 KB Output is correct
68 Correct 498 ms 27128 KB Output is correct
69 Correct 409 ms 24312 KB Output is correct
70 Correct 8 ms 4344 KB Output is correct