Submission #62546

# Submission time Handle Problem Language Result Execution time Memory
62546 2018-07-29T05:21:11 Z qkxwsm Construction of Highway (JOI18_construction) C++17
16 / 100
2000 ms 22348 KB
/*
PROG: source
LANG: C++11
    _____
  .'     '.
 /  0   0  \
|     ^     |
|  \     /  |
 \  '---'  /
  '._____.'
 */
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

using namespace std;
using namespace __gnu_pbds;

struct chash
{
    int operator()(int x) const
	{
		x ^= (x >> 20) ^ (x >> 12);
    	return x ^ (x >> 7) ^ (x >> 4);
	}
	int operator()(long long x) const
	{
		return x ^ (x >> 32);
	}
};

template<typename T> using orderedset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T> using hashtable = gp_hash_table<T, T, chash>;

template<class T>
void readi(T &x)
{
	T input = 0;
	bool negative = false;
	char c = ' ';
	while (c < '-')
	{
		c = getchar();
	}
	if (c == '-')
	{
		negative = true;
		c = getchar();
	}
	while (c >= '0')
	{
		input = input * 10 + (c - '0');
		c = getchar();
	}
	if (negative)
	{
		input = -input;
	}
	x = input;
}
template<class T>
void printi(T output)
{
	if (output == 0)
	{
		putchar('0');
		return;
	}
	if (output < 0)
	{
		putchar('-');
		output = -output;
	}
	int aout[20];
	int ilen = 0;
	while(output)
	{
		aout[ilen] = ((output % 10));
		output /= 10;
		ilen++;
	}
	for (int i = ilen - 1; i >= 0; i--)
	{
		putchar(aout[i] + '0');
	}
	return;
}
template<class T>
void ckmin(T &a, T b)
{
	a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
	a = max(a, b);
}
template<class T>
T normalize(T x, T mod = 1000000007)
{
	return (((x % mod) + mod) % mod);
}
long long randomizell(long long mod)
{
	return ((1ll << 45) * rand() + (1ll << 30) * rand() + (1ll << 15) * rand() + rand()) % mod;
}
int randomize(int mod)
{
	return ((1ll << 15) * rand() + rand()) % mod;
}

#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define debug(x) cerr << #x << " = " << x << endl;

const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-10;

#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 100013

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;

int N, T;
int arr[MAXN];
vector<int> compress;
vector<int> edge[MAXN];
int parent[MAXN];
int quer[MAXN];
int depth[MAXN];
int ancestor[25][MAXN];
ll fenwick[MAXN];
int seg[4 * MAXN];
int st[MAXN], ft[MAXN];
vector<int> clr;

void update(int idx, ll v)
{
    for (int e = idx + 1; e <= N; e += e & (-e))
    {
        fenwick[e] += v;
        clr.PB(e);
    }
    return;
}
ll query(int idx)
{
    ll res = 0;
    for (int e = idx + 1; e; e -= e & (-e))
    {
        res += fenwick[e];
    }
    return res;
}
void dfs(int u)
{
    st[u] = T;
    ft[u] = T;
    T++;
    for (int v : edge[u])
    {
        dfs(v);
        ft[u] = ft[v];
    }
    return;
}
int DNE = -INF; //MODIFY AS APPROPRIATE
int comb(int a, int b)
{
    return max(a, b);
}
void upd(int w, int L, int R, int a, int val)
{
    if (a < L || a > R)
    {
        return;
    }
    if (L > R)
    {
        return;
    }
    if (L == R)
    {
        seg[w] = val;
        return;
    }
    int mid = (L + R)/2;
    upd(2 * w, L, mid, a, val);
    upd(2 * w + 1, mid + 1, R, a, val);
    seg[w] = comb(seg[2 * w], seg[2 * w + 1]);
    return;
}
int qu(int w, int L, int R, int a, int b)
{
    if (L > R || a > b)
    {
        return DNE;
    }
    if (a > R || b < L)
    {
        return DNE;
    }
    if (a <= L && R <= b)
    {
        return seg[w];
    }
    int mid = (L + R)/2;
    return comb(qu(2 * w, L, mid, a, b), qu(2 * w + 1, mid + 1, R, a, b));
}
int32_t main()
{
	// ios_base::sync_with_stdio(0);
	srand(time(0));
	//	cout << fixed << setprecision(10);
	//	cerr << fixed << setprecision(10);
	if (fopen("input.in", "r"))
	{
		freopen ("input.in", "r", stdin);
		freopen ("output.out", "w", stdout);
	}
    readi(N);
    compress.resize(N);
    for (int i = 0; i < N; i++)
    {
        readi(arr[i]);
        compress[i] = arr[i];
    }
    sort(compress.begin(), compress.end());
    compress.erase(unique(compress.begin(), compress.end()), compress.end());
    for (int i = 0; i < N; i++)
    {
        arr[i] = LB(compress.begin(), compress.end(), arr[i]) - compress.begin();
    }
    arr[N] = N;
    parent[0] = N;
    depth[0] = 0;
    st[N] = N;
    ft[N] = N;
    for (int i = 0; i < N - 1; i++)
    {
        int u, v;
        readi(u); readi(v);
        u--; v--;
        parent[v] = u;
        edge[u].PB(v);
        depth[v] = depth[u] + 1;
        quer[i] = v;
    }
    dfs(0);
    for (int i = 0; i < 25; i++)
    {
        ancestor[i][N] = N;
    }
    for (int i = 0; i < N; i++)
    {
        ancestor[0][i] = parent[i];
    }
    for (int i = 1; i <= 21; i++)
    {
        for (int j = 0; j < N; j++)
        {
            ancestor[i][j] = ancestor[i - 1][ancestor[i - 1][j]];
        }
    }
    for (int i = 0; i <= N; i++)
    {
        upd(1, 0, N, i, -i - 1);
    }
    for (int i = 0; i < N - 1; i++)
    {
        //query inversions on path to u
        //update path to u to all be equal to arr[u]
        ll ans = 0;
        int u = quer[i], v = parent[u];
        while(v != N)
        {
            ll freq = 1;
            int was = qu(1, 0, N, st[v], ft[v]);
            for (int j = (31 - __builtin_clz(depth[v] + 1)); j >= 0; j--)
            {
                int w = ancestor[j][v];
                if (was == qu(1, 0, N, st[w], ft[w]))
                {
                    freq += (1 << j);
                    v = w;
                }
            }
            ans += freq * query(arr[quer[was]] - 1);
            update(arr[quer[was]], freq);
            v = parent[v];
        }
        for (int x : clr)
        {
            fenwick[x] = 0;
        }
        clr.clear();
        upd(1, 0, N, st[u], i);
        //most recently updated time in subtree?
        printi(ans); putchar('\n');
    }
	//	cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
	return 0;
}

Compilation message

construction.cpp: In function 'int32_t main()':
construction.cpp:239:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   freopen ("input.in", "r", stdin);
   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
construction.cpp:240:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
   freopen ("output.out", "w", stdout);
   ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2808 KB Output is correct
2 Correct 5 ms 2808 KB Output is correct
3 Correct 6 ms 3080 KB Output is correct
4 Correct 7 ms 3080 KB Output is correct
5 Correct 6 ms 3108 KB Output is correct
6 Correct 6 ms 3108 KB Output is correct
7 Correct 8 ms 3212 KB Output is correct
8 Correct 7 ms 3212 KB Output is correct
9 Correct 7 ms 3212 KB Output is correct
10 Correct 6 ms 3236 KB Output is correct
11 Correct 7 ms 3236 KB Output is correct
12 Correct 6 ms 3236 KB Output is correct
13 Correct 7 ms 3236 KB Output is correct
14 Correct 6 ms 3236 KB Output is correct
15 Correct 7 ms 3236 KB Output is correct
16 Correct 8 ms 3236 KB Output is correct
17 Correct 8 ms 3236 KB Output is correct
18 Correct 6 ms 3236 KB Output is correct
19 Correct 6 ms 3236 KB Output is correct
20 Correct 8 ms 3236 KB Output is correct
21 Correct 6 ms 3236 KB Output is correct
22 Correct 7 ms 3272 KB Output is correct
23 Correct 7 ms 3272 KB Output is correct
24 Correct 8 ms 3272 KB Output is correct
25 Correct 6 ms 3272 KB Output is correct
26 Correct 6 ms 3272 KB Output is correct
27 Correct 5 ms 3272 KB Output is correct
28 Correct 6 ms 3272 KB Output is correct
29 Correct 6 ms 3272 KB Output is correct
30 Correct 7 ms 3272 KB Output is correct
31 Correct 6 ms 3272 KB Output is correct
32 Correct 6 ms 3272 KB Output is correct
33 Correct 5 ms 3272 KB Output is correct
34 Correct 6 ms 3272 KB Output is correct
35 Correct 7 ms 3272 KB Output is correct
36 Correct 5 ms 3272 KB Output is correct
37 Correct 5 ms 3272 KB Output is correct
38 Correct 6 ms 3272 KB Output is correct
39 Correct 5 ms 3272 KB Output is correct
40 Correct 6 ms 3272 KB Output is correct
41 Correct 7 ms 3288 KB Output is correct
42 Correct 6 ms 3288 KB Output is correct
43 Correct 6 ms 3288 KB Output is correct
44 Correct 7 ms 3288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2808 KB Output is correct
2 Correct 5 ms 2808 KB Output is correct
3 Correct 6 ms 3080 KB Output is correct
4 Correct 7 ms 3080 KB Output is correct
5 Correct 6 ms 3108 KB Output is correct
6 Correct 6 ms 3108 KB Output is correct
7 Correct 8 ms 3212 KB Output is correct
8 Correct 7 ms 3212 KB Output is correct
9 Correct 7 ms 3212 KB Output is correct
10 Correct 6 ms 3236 KB Output is correct
11 Correct 7 ms 3236 KB Output is correct
12 Correct 6 ms 3236 KB Output is correct
13 Correct 7 ms 3236 KB Output is correct
14 Correct 6 ms 3236 KB Output is correct
15 Correct 7 ms 3236 KB Output is correct
16 Correct 8 ms 3236 KB Output is correct
17 Correct 8 ms 3236 KB Output is correct
18 Correct 6 ms 3236 KB Output is correct
19 Correct 6 ms 3236 KB Output is correct
20 Correct 8 ms 3236 KB Output is correct
21 Correct 6 ms 3236 KB Output is correct
22 Correct 7 ms 3272 KB Output is correct
23 Correct 7 ms 3272 KB Output is correct
24 Correct 8 ms 3272 KB Output is correct
25 Correct 6 ms 3272 KB Output is correct
26 Correct 6 ms 3272 KB Output is correct
27 Correct 5 ms 3272 KB Output is correct
28 Correct 6 ms 3272 KB Output is correct
29 Correct 6 ms 3272 KB Output is correct
30 Correct 7 ms 3272 KB Output is correct
31 Correct 6 ms 3272 KB Output is correct
32 Correct 6 ms 3272 KB Output is correct
33 Correct 5 ms 3272 KB Output is correct
34 Correct 6 ms 3272 KB Output is correct
35 Correct 7 ms 3272 KB Output is correct
36 Correct 5 ms 3272 KB Output is correct
37 Correct 5 ms 3272 KB Output is correct
38 Correct 6 ms 3272 KB Output is correct
39 Correct 5 ms 3272 KB Output is correct
40 Correct 6 ms 3272 KB Output is correct
41 Correct 7 ms 3288 KB Output is correct
42 Correct 6 ms 3288 KB Output is correct
43 Correct 6 ms 3288 KB Output is correct
44 Correct 7 ms 3288 KB Output is correct
45 Correct 8 ms 3288 KB Output is correct
46 Correct 29 ms 3708 KB Output is correct
47 Correct 26 ms 3836 KB Output is correct
48 Correct 21 ms 3836 KB Output is correct
49 Correct 22 ms 3852 KB Output is correct
50 Correct 24 ms 3868 KB Output is correct
51 Correct 20 ms 3872 KB Output is correct
52 Correct 30 ms 3996 KB Output is correct
53 Correct 31 ms 3996 KB Output is correct
54 Correct 35 ms 3996 KB Output is correct
55 Correct 25 ms 3996 KB Output is correct
56 Correct 29 ms 3996 KB Output is correct
57 Correct 40 ms 3996 KB Output is correct
58 Correct 42 ms 3996 KB Output is correct
59 Correct 44 ms 3996 KB Output is correct
60 Correct 48 ms 3996 KB Output is correct
61 Correct 24 ms 3996 KB Output is correct
62 Correct 25 ms 3996 KB Output is correct
63 Correct 24 ms 3996 KB Output is correct
64 Correct 29 ms 3996 KB Output is correct
65 Correct 23 ms 3996 KB Output is correct
66 Correct 31 ms 3996 KB Output is correct
67 Correct 24 ms 3996 KB Output is correct
68 Correct 23 ms 3996 KB Output is correct
69 Correct 32 ms 3996 KB Output is correct
70 Correct 32 ms 4028 KB Output is correct
71 Correct 24 ms 4028 KB Output is correct
72 Correct 39 ms 4028 KB Output is correct
73 Correct 41 ms 4028 KB Output is correct
74 Correct 29 ms 4028 KB Output is correct
75 Correct 21 ms 4028 KB Output is correct
76 Correct 21 ms 4028 KB Output is correct
77 Correct 27 ms 4028 KB Output is correct
78 Correct 22 ms 4028 KB Output is correct
79 Correct 19 ms 4028 KB Output is correct
80 Correct 23 ms 4028 KB Output is correct
81 Correct 28 ms 4028 KB Output is correct
82 Correct 21 ms 4028 KB Output is correct
83 Correct 20 ms 4028 KB Output is correct
84 Correct 25 ms 4028 KB Output is correct
85 Correct 26 ms 4028 KB Output is correct
86 Correct 24 ms 4028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 2808 KB Output is correct
2 Correct 5 ms 2808 KB Output is correct
3 Correct 6 ms 3080 KB Output is correct
4 Correct 7 ms 3080 KB Output is correct
5 Correct 6 ms 3108 KB Output is correct
6 Correct 6 ms 3108 KB Output is correct
7 Correct 8 ms 3212 KB Output is correct
8 Correct 7 ms 3212 KB Output is correct
9 Correct 7 ms 3212 KB Output is correct
10 Correct 6 ms 3236 KB Output is correct
11 Correct 7 ms 3236 KB Output is correct
12 Correct 6 ms 3236 KB Output is correct
13 Correct 7 ms 3236 KB Output is correct
14 Correct 6 ms 3236 KB Output is correct
15 Correct 7 ms 3236 KB Output is correct
16 Correct 8 ms 3236 KB Output is correct
17 Correct 8 ms 3236 KB Output is correct
18 Correct 6 ms 3236 KB Output is correct
19 Correct 6 ms 3236 KB Output is correct
20 Correct 8 ms 3236 KB Output is correct
21 Correct 6 ms 3236 KB Output is correct
22 Correct 7 ms 3272 KB Output is correct
23 Correct 7 ms 3272 KB Output is correct
24 Correct 8 ms 3272 KB Output is correct
25 Correct 6 ms 3272 KB Output is correct
26 Correct 6 ms 3272 KB Output is correct
27 Correct 5 ms 3272 KB Output is correct
28 Correct 6 ms 3272 KB Output is correct
29 Correct 6 ms 3272 KB Output is correct
30 Correct 7 ms 3272 KB Output is correct
31 Correct 6 ms 3272 KB Output is correct
32 Correct 6 ms 3272 KB Output is correct
33 Correct 5 ms 3272 KB Output is correct
34 Correct 6 ms 3272 KB Output is correct
35 Correct 7 ms 3272 KB Output is correct
36 Correct 5 ms 3272 KB Output is correct
37 Correct 5 ms 3272 KB Output is correct
38 Correct 6 ms 3272 KB Output is correct
39 Correct 5 ms 3272 KB Output is correct
40 Correct 6 ms 3272 KB Output is correct
41 Correct 7 ms 3288 KB Output is correct
42 Correct 6 ms 3288 KB Output is correct
43 Correct 6 ms 3288 KB Output is correct
44 Correct 7 ms 3288 KB Output is correct
45 Correct 8 ms 3288 KB Output is correct
46 Correct 29 ms 3708 KB Output is correct
47 Correct 26 ms 3836 KB Output is correct
48 Correct 21 ms 3836 KB Output is correct
49 Correct 22 ms 3852 KB Output is correct
50 Correct 24 ms 3868 KB Output is correct
51 Correct 20 ms 3872 KB Output is correct
52 Correct 30 ms 3996 KB Output is correct
53 Correct 31 ms 3996 KB Output is correct
54 Correct 35 ms 3996 KB Output is correct
55 Correct 25 ms 3996 KB Output is correct
56 Correct 29 ms 3996 KB Output is correct
57 Correct 40 ms 3996 KB Output is correct
58 Correct 42 ms 3996 KB Output is correct
59 Correct 44 ms 3996 KB Output is correct
60 Correct 48 ms 3996 KB Output is correct
61 Correct 24 ms 3996 KB Output is correct
62 Correct 25 ms 3996 KB Output is correct
63 Correct 24 ms 3996 KB Output is correct
64 Correct 29 ms 3996 KB Output is correct
65 Correct 23 ms 3996 KB Output is correct
66 Correct 31 ms 3996 KB Output is correct
67 Correct 24 ms 3996 KB Output is correct
68 Correct 23 ms 3996 KB Output is correct
69 Correct 32 ms 3996 KB Output is correct
70 Correct 32 ms 4028 KB Output is correct
71 Correct 24 ms 4028 KB Output is correct
72 Correct 39 ms 4028 KB Output is correct
73 Correct 41 ms 4028 KB Output is correct
74 Correct 29 ms 4028 KB Output is correct
75 Correct 21 ms 4028 KB Output is correct
76 Correct 21 ms 4028 KB Output is correct
77 Correct 27 ms 4028 KB Output is correct
78 Correct 22 ms 4028 KB Output is correct
79 Correct 19 ms 4028 KB Output is correct
80 Correct 23 ms 4028 KB Output is correct
81 Correct 28 ms 4028 KB Output is correct
82 Correct 21 ms 4028 KB Output is correct
83 Correct 20 ms 4028 KB Output is correct
84 Correct 25 ms 4028 KB Output is correct
85 Correct 26 ms 4028 KB Output is correct
86 Correct 24 ms 4028 KB Output is correct
87 Correct 65 ms 4668 KB Output is correct
88 Correct 282 ms 7804 KB Output is correct
89 Correct 1388 ms 18108 KB Output is correct
90 Correct 1352 ms 18236 KB Output is correct
91 Correct 1401 ms 18236 KB Output is correct
92 Correct 814 ms 22204 KB Output is correct
93 Correct 868 ms 22280 KB Output is correct
94 Correct 757 ms 22348 KB Output is correct
95 Correct 1110 ms 22348 KB Output is correct
96 Correct 1262 ms 22348 KB Output is correct
97 Correct 1322 ms 22348 KB Output is correct
98 Correct 1185 ms 22348 KB Output is correct
99 Correct 1390 ms 22348 KB Output is correct
100 Execution timed out 2066 ms 22348 KB Time limit exceeded
101 Halted 0 ms 0 KB -