oj.uz

Submission #967154

# Submission time Handle Problem Language Result Execution time Memory
967154 2024-04-21T11:07:10 Z sleepntsheep Construction of Highway (JOI18_construction) C
100 / 100
 203 ms 19284 KB 
#include <string.h>
#include <stdio.h>
#include <time.h>
#include <stdlib.h>

void reverse(int *a, int l, int r)
{
    for (int temp = --r; l < r; ++l, --r)
        temp = a[l], a[l] = a[r], a[r] = temp;
}

void sort(int *a, int l, int r)
{
    while (l < r)
    {
        int i = l, j = l, k = r, t, p = a[l + rand()%(r-l)];
        while (j < k)
        {
            if (a[j] == p) ++j;
            else if (a[j] < p) t = a[i], a[i] = a[j], a[j] = t, ++i, ++j;
            else t = a[--k], a[k] = a[j], a[j] = t;
        }
        sort(a, l, i);
        l = k;
    }
}

#define N 100000
#define M (2*N)
#define L 17

int n, c[N], tin[N], hld[N], dd[N], sz[N], par[N], c2[N];

int *eh[N], eo[N], *eh_[N], eo_[N];

long long fw[N], cost;
void fwadd(int p, long long k)
{
    for (; p < N; p |= p + 1) fw[p] += k;
}
long long fwsum(int p)
{
    long long z = 0;
    for (; p > 0; p &= p - 1) z += fw[p-1];
    return z;
}

int vv[N*L], vo;
void inversions()
{
    for (int j = 0; j < vo; j += 2)
        fwadd(vv[j+1], vv[j]),
        cost += vv[j] * fwsum(vv[j+1]);
    for (int j = 0; j < vo; j += 2)
        fwadd(vv[j+1], -vv[j]);
}

void push(int **eh, int *eo, int i, int j)
{
    int o = eo[i]++;
    if (!o) eh[i] = (int*)realloc(eh[i], 2*sizeof**eh);
    else if (!(o&o-1)) eh[i] = (int*)realloc(eh[i], 2*sizeof**eh*o);
    eh[i][o] = j;
}

void dfs1(int u, int p)
{
    par[u] = p;
    sz[u] = 1;
    for (int v, j = 0; j < eo[u]; ++j) if ((v = eh[u][j]) != p)
    {
        dd[v] = dd[u] + 1;
        dfs1(v, u);
        sz[u] += sz[v];
        if (eh[u][0] == p || sz[v] > sz[eh[u][0]])
            eh[u][j] = eh[u][0], eh[u][0] = v;
    }
}

void pushchain(int i, int j, int k)
{
    if (eo_[i] >= 2 && eh_[i][eo_[i]-2] == j)
        eh_[i][eo_[i]-1] += k;
    else
        push(eh_, eo_, i, j),
        push(eh_, eo_, i, k);
}

void dfs2(int u, int p)
{
    static int timer = 0;
    tin[u] = timer++;
    for (int v, j = 0; j < eo[u]; ++j) if ((v = eh[u][j]) != p)
        hld[v] = (j == 0) ? hld[u] : v,
        dfs2(v, u);
    pushchain(hld[u], c[u], 1);
}

int main()
{
    srand(time(0));
    scanf("%d", &n);
    for (int i = 0; i < n; ++i)
        scanf("%d", c+i);

    memcpy(c2, c, sizeof *c2 * n);
    sort(c2, 0, n);
    for (int i = 0; i < n; ++i)
    {
        int lower = -1, upper = n;
        while (upper - lower > 1)
        {
            int mid = lower + (upper - lower) / 2;
            if (c2[mid] <= c[i])
                lower = mid;
            else
                upper = mid;
        }
        c[i] = lower;
    }

    static int ee[N][2];
    for (int i = 1, u, v; i < n; ++i)
    {
        scanf("%d%d", &u, &v);
        --u, --v;
        ee[i][0] = u;
        ee[i][1] = v;
        push(eh, eo, u, v);
        push(eh, eo, v, u);
    }

    dfs1(0, -1);
    hld[0] = 0;
    dfs2(0, 0);

    for (int i = 1, u, v; i < n; ++i)
    {
        u = ee[i][0], v = ee[i][1];
        vo = 0;

        /* collect all values into vector to find inversions */
        for (int ii = u; ii != -1; ii = par[hld[ii]])
        {
            int take_here = tin[ii] - tin[hld[ii]] + 1, start = vo;
            for (int taken = 0, jj = eo_[hld[ii]] - 1; jj >= 0; jj -= 2)
            {
                int value = eh_[hld[ii]][jj-1], freq = eh_[hld[ii]][jj];
                if (freq + taken >= take_here)
                    freq = take_here - taken, jj = -1;
                if (freq)
                    vv[vo++] = value, vv[vo++] = freq;
                taken += freq;
            }
            reverse(vv, start, vo);
        }

        cost = 0;
        inversions();
        printf("%lld\n", cost);

        /* change liveliness of all node on 1-u path to liveliness[v] */
        for (int ii = u; ii != -1; ii = par[hld[ii]])
        {
            int take_here = tin[ii] - tin[hld[ii]] + 1;
            for (int taken = 0, jj = eo_[hld[ii]] - 1; jj >= 0; jj -= 2, eo_[hld[ii]] -= 2)
            {
                int freq = eh_[hld[ii]][jj];
                if (freq + taken >= take_here)
                {
                    freq = take_here - taken;
                    eh_[hld[ii]][jj] -= freq;
                    if (eh_[hld[ii]][jj] == 0)
                        eo_[hld[ii]] -= 2;
                    break;
                }
                taken += freq;
            }
            pushchain(hld[ii], c[v], take_here);
        }
    }
}

/* O(n lg^2 n)
 * proof like lct */

Compilation message

construction.c: In function 'push':
construction.c:63:19: warning: suggest parentheses around '-' in operand of '&' [-Wparentheses]
   63 |     else if (!(o&o-1)) eh[i] = (int*)realloc(eh[i], 2*sizeof**eh*o);
      |                  ~^~
construction.c: In function 'main':
construction.c:103:5: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  103 |     scanf("%d", &n);
      |     ^~~~~~~~~~~~~~~
construction.c:105:9: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  105 |         scanf("%d", c+i);
      |         ^~~~~~~~~~~~~~~~
construction.c:126:9: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
  126 |         scanf("%d%d", &u, &v);
      |         ^~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 2 ms 4512 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 2 ms 4700 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4444 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4444 KB Output is correct
44 Correct 1 ms 4444 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 2 ms 4512 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 2 ms 4700 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4444 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4444 KB Output is correct
44 Correct 1 ms 4444 KB Output is correct
45 Correct 2 ms 4444 KB Output is correct
46 Correct 4 ms 4700 KB Output is correct
47 Correct 4 ms 4700 KB Output is correct
48 Correct 4 ms 4956 KB Output is correct
49 Correct 3 ms 4956 KB Output is correct
50 Correct 3 ms 4956 KB Output is correct
51 Correct 4 ms 4956 KB Output is correct
52 Correct 5 ms 5104 KB Output is correct
53 Correct 3 ms 4956 KB Output is correct
54 Correct 3 ms 5016 KB Output is correct
55 Correct 3 ms 4956 KB Output is correct
56 Correct 4 ms 4956 KB Output is correct
57 Correct 5 ms 4956 KB Output is correct
58 Correct 5 ms 4956 KB Output is correct
59 Correct 5 ms 4956 KB Output is correct
60 Correct 5 ms 4956 KB Output is correct
61 Correct 3 ms 4956 KB Output is correct
62 Correct 3 ms 5048 KB Output is correct
63 Correct 5 ms 4956 KB Output is correct
64 Correct 3 ms 4700 KB Output is correct
65 Correct 4 ms 4700 KB Output is correct
66 Correct 4 ms 4956 KB Output is correct
67 Correct 4 ms 4696 KB Output is correct
68 Correct 3 ms 4956 KB Output is correct
69 Correct 3 ms 5072 KB Output is correct
70 Correct 3 ms 4968 KB Output is correct
71 Correct 3 ms 4960 KB Output is correct
72 Correct 5 ms 4960 KB Output is correct
73 Correct 5 ms 4968 KB Output is correct
74 Correct 3 ms 4968 KB Output is correct
75 Correct 3 ms 4968 KB Output is correct
76 Correct 3 ms 4996 KB Output is correct
77 Correct 3 ms 4956 KB Output is correct
78 Correct 3 ms 4956 KB Output is correct
79 Correct 3 ms 4956 KB Output is correct
80 Correct 3 ms 4956 KB Output is correct
81 Correct 3 ms 4956 KB Output is correct
82 Correct 3 ms 4996 KB Output is correct
83 Correct 3 ms 4788 KB Output is correct
84 Correct 3 ms 4956 KB Output is correct
85 Correct 5 ms 4956 KB Output is correct
86 Correct 3 ms 4956 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 2 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 2 ms 4444 KB Output is correct
22 Correct 2 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 2 ms 4512 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 2 ms 4700 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 1 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 1 ms 4444 KB Output is correct
41 Correct 1 ms 4444 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4444 KB Output is correct
44 Correct 1 ms 4444 KB Output is correct
45 Correct 2 ms 4444 KB Output is correct
46 Correct 4 ms 4700 KB Output is correct
47 Correct 4 ms 4700 KB Output is correct
48 Correct 4 ms 4956 KB Output is correct
49 Correct 3 ms 4956 KB Output is correct
50 Correct 3 ms 4956 KB Output is correct
51 Correct 4 ms 4956 KB Output is correct
52 Correct 5 ms 5104 KB Output is correct
53 Correct 3 ms 4956 KB Output is correct
54 Correct 3 ms 5016 KB Output is correct
55 Correct 3 ms 4956 KB Output is correct
56 Correct 4 ms 4956 KB Output is correct
57 Correct 5 ms 4956 KB Output is correct
58 Correct 5 ms 4956 KB Output is correct
59 Correct 5 ms 4956 KB Output is correct
60 Correct 5 ms 4956 KB Output is correct
61 Correct 3 ms 4956 KB Output is correct
62 Correct 3 ms 5048 KB Output is correct
63 Correct 5 ms 4956 KB Output is correct
64 Correct 3 ms 4700 KB Output is correct
65 Correct 4 ms 4700 KB Output is correct
66 Correct 4 ms 4956 KB Output is correct
67 Correct 4 ms 4696 KB Output is correct
68 Correct 3 ms 4956 KB Output is correct
69 Correct 3 ms 5072 KB Output is correct
70 Correct 3 ms 4968 KB Output is correct
71 Correct 3 ms 4960 KB Output is correct
72 Correct 5 ms 4960 KB Output is correct
73 Correct 5 ms 4968 KB Output is correct
74 Correct 3 ms 4968 KB Output is correct
75 Correct 3 ms 4968 KB Output is correct
76 Correct 3 ms 4996 KB Output is correct
77 Correct 3 ms 4956 KB Output is correct
78 Correct 3 ms 4956 KB Output is correct
79 Correct 3 ms 4956 KB Output is correct
80 Correct 3 ms 4956 KB Output is correct
81 Correct 3 ms 4956 KB Output is correct
82 Correct 3 ms 4996 KB Output is correct
83 Correct 3 ms 4788 KB Output is correct
84 Correct 3 ms 4956 KB Output is correct
85 Correct 5 ms 4956 KB Output is correct
86 Correct 3 ms 4956 KB Output is correct
87 Correct 11 ms 5464 KB Output is correct
88 Correct 35 ms 7396 KB Output is correct
89 Correct 133 ms 13908 KB Output is correct
90 Correct 132 ms 13876 KB Output is correct
91 Correct 140 ms 13944 KB Output is correct
92 Correct 75 ms 19280 KB Output is correct
93 Correct 78 ms 19244 KB Output is correct
94 Correct 70 ms 19244 KB Output is correct
95 Correct 71 ms 17872 KB Output is correct
96 Correct 75 ms 18000 KB Output is correct
97 Correct 76 ms 17868 KB Output is correct
98 Correct 76 ms 18168 KB Output is correct
99 Correct 78 ms 17492 KB Output is correct
100 Correct 151 ms 13344 KB Output is correct
101 Correct 193 ms 13364 KB Output is correct
102 Correct 201 ms 13336 KB Output is correct
103 Correct 203 ms 13920 KB Output is correct
104 Correct 81 ms 17456 KB Output is correct
105 Correct 79 ms 17532 KB Output is correct
106 Correct 79 ms 17488 KB Output is correct
107 Correct 99 ms 13500 KB Output is correct
108 Correct 120 ms 13952 KB Output is correct
109 Correct 129 ms 13908 KB Output is correct
110 Correct 62 ms 19284 KB Output is correct
111 Correct 74 ms 17836 KB Output is correct
112 Correct 65 ms 17920 KB Output is correct
113 Correct 66 ms 17484 KB Output is correct
114 Correct 144 ms 13340 KB Output is correct
115 Correct 202 ms 13636 KB Output is correct
116 Correct 68 ms 17488 KB Output is correct
117 Correct 74 ms 15448 KB Output is correct
118 Correct 75 ms 14856 KB Output is correct
119 Correct 73 ms 14576 KB Output is correct
120 Correct 66 ms 15440 KB Output is correct
121 Correct 66 ms 14832 KB Output is correct
122 Correct 66 ms 14552 KB Output is correct
123 Correct 100 ms 15520 KB Output is correct
124 Correct 84 ms 14804 KB Output is correct
125 Correct 78 ms 14548 KB Output is correct
126 Correct 68 ms 15448 KB Output is correct
127 Correct 76 ms 14884 KB Output is correct
128 Correct 70 ms 14416 KB Output is correct