Submission #62552

# Submission time Handle Problem Language Result Execution time Memory
62552 2018-07-29T05:25:11 Z qkxwsm Construction of Highway (JOI18_construction) C++14
16 / 100
2000 ms 29368 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 4 ms 2936 KB Output is correct
2 Correct 5 ms 2936 KB Output is correct
3 Correct 4 ms 2936 KB Output is correct
4 Correct 5 ms 3000 KB Output is correct
5 Correct 8 ms 3136 KB Output is correct
6 Correct 7 ms 3136 KB Output is correct
7 Correct 6 ms 3136 KB Output is correct
8 Correct 6 ms 3208 KB Output is correct
9 Correct 6 ms 3208 KB Output is correct
10 Correct 7 ms 3208 KB Output is correct
11 Correct 7 ms 3208 KB Output is correct
12 Correct 7 ms 3208 KB Output is correct
13 Correct 8 ms 3208 KB Output is correct
14 Correct 6 ms 3208 KB Output is correct
15 Correct 7 ms 3208 KB Output is correct
16 Correct 8 ms 3208 KB Output is correct
17 Correct 6 ms 3208 KB Output is correct
18 Correct 7 ms 3308 KB Output is correct
19 Correct 8 ms 3308 KB Output is correct
20 Correct 7 ms 3308 KB Output is correct
21 Correct 6 ms 3308 KB Output is correct
22 Correct 6 ms 3308 KB Output is correct
23 Correct 6 ms 3308 KB Output is correct
24 Correct 6 ms 3308 KB Output is correct
25 Correct 8 ms 3308 KB Output is correct
26 Correct 6 ms 3308 KB Output is correct
27 Correct 6 ms 3308 KB Output is correct
28 Correct 6 ms 3308 KB Output is correct
29 Correct 8 ms 3372 KB Output is correct
30 Correct 7 ms 3372 KB Output is correct
31 Correct 8 ms 3372 KB Output is correct
32 Correct 37 ms 3372 KB Output is correct
33 Correct 7 ms 3372 KB Output is correct
34 Correct 7 ms 3372 KB Output is correct
35 Correct 6 ms 3372 KB Output is correct
36 Correct 38 ms 3372 KB Output is correct
37 Correct 7 ms 3372 KB Output is correct
38 Correct 6 ms 3372 KB Output is correct
39 Correct 6 ms 3372 KB Output is correct
40 Correct 8 ms 3372 KB Output is correct
41 Correct 9 ms 3372 KB Output is correct
42 Correct 7 ms 3372 KB Output is correct
43 Correct 6 ms 3372 KB Output is correct
44 Correct 5 ms 3372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2936 KB Output is correct
2 Correct 5 ms 2936 KB Output is correct
3 Correct 4 ms 2936 KB Output is correct
4 Correct 5 ms 3000 KB Output is correct
5 Correct 8 ms 3136 KB Output is correct
6 Correct 7 ms 3136 KB Output is correct
7 Correct 6 ms 3136 KB Output is correct
8 Correct 6 ms 3208 KB Output is correct
9 Correct 6 ms 3208 KB Output is correct
10 Correct 7 ms 3208 KB Output is correct
11 Correct 7 ms 3208 KB Output is correct
12 Correct 7 ms 3208 KB Output is correct
13 Correct 8 ms 3208 KB Output is correct
14 Correct 6 ms 3208 KB Output is correct
15 Correct 7 ms 3208 KB Output is correct
16 Correct 8 ms 3208 KB Output is correct
17 Correct 6 ms 3208 KB Output is correct
18 Correct 7 ms 3308 KB Output is correct
19 Correct 8 ms 3308 KB Output is correct
20 Correct 7 ms 3308 KB Output is correct
21 Correct 6 ms 3308 KB Output is correct
22 Correct 6 ms 3308 KB Output is correct
23 Correct 6 ms 3308 KB Output is correct
24 Correct 6 ms 3308 KB Output is correct
25 Correct 8 ms 3308 KB Output is correct
26 Correct 6 ms 3308 KB Output is correct
27 Correct 6 ms 3308 KB Output is correct
28 Correct 6 ms 3308 KB Output is correct
29 Correct 8 ms 3372 KB Output is correct
30 Correct 7 ms 3372 KB Output is correct
31 Correct 8 ms 3372 KB Output is correct
32 Correct 37 ms 3372 KB Output is correct
33 Correct 7 ms 3372 KB Output is correct
34 Correct 7 ms 3372 KB Output is correct
35 Correct 6 ms 3372 KB Output is correct
36 Correct 38 ms 3372 KB Output is correct
37 Correct 7 ms 3372 KB Output is correct
38 Correct 6 ms 3372 KB Output is correct
39 Correct 6 ms 3372 KB Output is correct
40 Correct 8 ms 3372 KB Output is correct
41 Correct 9 ms 3372 KB Output is correct
42 Correct 7 ms 3372 KB Output is correct
43 Correct 6 ms 3372 KB Output is correct
44 Correct 5 ms 3372 KB Output is correct
45 Correct 9 ms 3376 KB Output is correct
46 Correct 28 ms 3904 KB Output is correct
47 Correct 31 ms 3980 KB Output is correct
48 Correct 25 ms 4160 KB Output is correct
49 Correct 16 ms 4292 KB Output is correct
50 Correct 20 ms 4484 KB Output is correct
51 Correct 18 ms 4576 KB Output is correct
52 Correct 29 ms 4576 KB Output is correct
53 Correct 26 ms 4596 KB Output is correct
54 Correct 35 ms 4664 KB Output is correct
55 Correct 25 ms 4860 KB Output is correct
56 Correct 23 ms 4860 KB Output is correct
57 Correct 44 ms 4860 KB Output is correct
58 Correct 39 ms 4860 KB Output is correct
59 Correct 44 ms 4928 KB Output is correct
60 Correct 44 ms 5032 KB Output is correct
61 Correct 24 ms 5128 KB Output is correct
62 Correct 25 ms 5316 KB Output is correct
63 Correct 27 ms 5392 KB Output is correct
64 Correct 26 ms 5392 KB Output is correct
65 Correct 27 ms 5392 KB Output is correct
66 Correct 28 ms 5432 KB Output is correct
67 Correct 24 ms 5432 KB Output is correct
68 Correct 19 ms 5616 KB Output is correct
69 Correct 23 ms 5664 KB Output is correct
70 Correct 24 ms 5848 KB Output is correct
71 Correct 27 ms 5848 KB Output is correct
72 Correct 42 ms 5848 KB Output is correct
73 Correct 45 ms 5848 KB Output is correct
74 Correct 27 ms 5848 KB Output is correct
75 Correct 26 ms 5968 KB Output is correct
76 Correct 24 ms 5968 KB Output is correct
77 Correct 22 ms 5968 KB Output is correct
78 Correct 25 ms 6056 KB Output is correct
79 Correct 21 ms 6084 KB Output is correct
80 Correct 22 ms 6128 KB Output is correct
81 Correct 23 ms 6176 KB Output is correct
82 Correct 28 ms 6240 KB Output is correct
83 Correct 21 ms 6368 KB Output is correct
84 Correct 22 ms 6368 KB Output is correct
85 Correct 23 ms 6464 KB Output is correct
86 Correct 22 ms 6464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2936 KB Output is correct
2 Correct 5 ms 2936 KB Output is correct
3 Correct 4 ms 2936 KB Output is correct
4 Correct 5 ms 3000 KB Output is correct
5 Correct 8 ms 3136 KB Output is correct
6 Correct 7 ms 3136 KB Output is correct
7 Correct 6 ms 3136 KB Output is correct
8 Correct 6 ms 3208 KB Output is correct
9 Correct 6 ms 3208 KB Output is correct
10 Correct 7 ms 3208 KB Output is correct
11 Correct 7 ms 3208 KB Output is correct
12 Correct 7 ms 3208 KB Output is correct
13 Correct 8 ms 3208 KB Output is correct
14 Correct 6 ms 3208 KB Output is correct
15 Correct 7 ms 3208 KB Output is correct
16 Correct 8 ms 3208 KB Output is correct
17 Correct 6 ms 3208 KB Output is correct
18 Correct 7 ms 3308 KB Output is correct
19 Correct 8 ms 3308 KB Output is correct
20 Correct 7 ms 3308 KB Output is correct
21 Correct 6 ms 3308 KB Output is correct
22 Correct 6 ms 3308 KB Output is correct
23 Correct 6 ms 3308 KB Output is correct
24 Correct 6 ms 3308 KB Output is correct
25 Correct 8 ms 3308 KB Output is correct
26 Correct 6 ms 3308 KB Output is correct
27 Correct 6 ms 3308 KB Output is correct
28 Correct 6 ms 3308 KB Output is correct
29 Correct 8 ms 3372 KB Output is correct
30 Correct 7 ms 3372 KB Output is correct
31 Correct 8 ms 3372 KB Output is correct
32 Correct 37 ms 3372 KB Output is correct
33 Correct 7 ms 3372 KB Output is correct
34 Correct 7 ms 3372 KB Output is correct
35 Correct 6 ms 3372 KB Output is correct
36 Correct 38 ms 3372 KB Output is correct
37 Correct 7 ms 3372 KB Output is correct
38 Correct 6 ms 3372 KB Output is correct
39 Correct 6 ms 3372 KB Output is correct
40 Correct 8 ms 3372 KB Output is correct
41 Correct 9 ms 3372 KB Output is correct
42 Correct 7 ms 3372 KB Output is correct
43 Correct 6 ms 3372 KB Output is correct
44 Correct 5 ms 3372 KB Output is correct
45 Correct 9 ms 3376 KB Output is correct
46 Correct 28 ms 3904 KB Output is correct
47 Correct 31 ms 3980 KB Output is correct
48 Correct 25 ms 4160 KB Output is correct
49 Correct 16 ms 4292 KB Output is correct
50 Correct 20 ms 4484 KB Output is correct
51 Correct 18 ms 4576 KB Output is correct
52 Correct 29 ms 4576 KB Output is correct
53 Correct 26 ms 4596 KB Output is correct
54 Correct 35 ms 4664 KB Output is correct
55 Correct 25 ms 4860 KB Output is correct
56 Correct 23 ms 4860 KB Output is correct
57 Correct 44 ms 4860 KB Output is correct
58 Correct 39 ms 4860 KB Output is correct
59 Correct 44 ms 4928 KB Output is correct
60 Correct 44 ms 5032 KB Output is correct
61 Correct 24 ms 5128 KB Output is correct
62 Correct 25 ms 5316 KB Output is correct
63 Correct 27 ms 5392 KB Output is correct
64 Correct 26 ms 5392 KB Output is correct
65 Correct 27 ms 5392 KB Output is correct
66 Correct 28 ms 5432 KB Output is correct
67 Correct 24 ms 5432 KB Output is correct
68 Correct 19 ms 5616 KB Output is correct
69 Correct 23 ms 5664 KB Output is correct
70 Correct 24 ms 5848 KB Output is correct
71 Correct 27 ms 5848 KB Output is correct
72 Correct 42 ms 5848 KB Output is correct
73 Correct 45 ms 5848 KB Output is correct
74 Correct 27 ms 5848 KB Output is correct
75 Correct 26 ms 5968 KB Output is correct
76 Correct 24 ms 5968 KB Output is correct
77 Correct 22 ms 5968 KB Output is correct
78 Correct 25 ms 6056 KB Output is correct
79 Correct 21 ms 6084 KB Output is correct
80 Correct 22 ms 6128 KB Output is correct
81 Correct 23 ms 6176 KB Output is correct
82 Correct 28 ms 6240 KB Output is correct
83 Correct 21 ms 6368 KB Output is correct
84 Correct 22 ms 6368 KB Output is correct
85 Correct 23 ms 6464 KB Output is correct
86 Correct 22 ms 6464 KB Output is correct
87 Correct 82 ms 7656 KB Output is correct
88 Correct 311 ms 11312 KB Output is correct
89 Correct 1455 ms 21764 KB Output is correct
90 Correct 1437 ms 21804 KB Output is correct
91 Correct 1380 ms 21804 KB Output is correct
92 Correct 988 ms 25860 KB Output is correct
93 Correct 874 ms 27992 KB Output is correct
94 Correct 734 ms 29368 KB Output is correct
95 Correct 1260 ms 29368 KB Output is correct
96 Correct 1339 ms 29368 KB Output is correct
97 Correct 1159 ms 29368 KB Output is correct
98 Correct 1272 ms 29368 KB Output is correct
99 Correct 1302 ms 29368 KB Output is correct
100 Execution timed out 2055 ms 29368 KB Time limit exceeded
101 Halted 0 ms 0 KB -