oj.uz

Submission #834269

# Submission time Handle Problem Language Result Execution time Memory
834269 2023-08-22T12:29:19 Z Tigerpants Horses (IOI15_horses) C++17
100 / 100
 531 ms 231352 KB 
#include "horses.h"
#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <algorithm>
#include <functional>
#include <numeric>
#include <cmath>
#include "math.h"

using namespace std;

typedef long long int ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef long double ld;
typedef vector<ld> vld;
typedef vector<vld> vvld;
typedef pair<ll, ll> pll;
typedef pair<ll, ld> pll_ld;
typedef pair<ld, ll> pld_ll;
typedef vector<pll> vpll;
typedef vector<pll_ld> vpll_ld;
typedef vector<pld_ll> vpld_ll;
typedef pair<pld_ll, ll> ppld_ll_ll;
typedef vector<ppld_ll_ll> vppld_ll_ll;

const ll MOD = 1000000007;
//const ll INFLL = ((MOD + 1) * (MOD + 1)) + 1;
//const ld INFLD = 1000000000000000001.0;

#define rep(i, a, b) for (ll i = a; i < b; i++)
#define sz(a) (ll) a.size()
#define pb(a) push_back(a)
#define mp(a, b) make_pair(a, b)

const pld_ll NONE_pld_ll = mp(1.0, 0);
const pld_ll NONE_pld_ll_lazy = mp(0.0, 1);
const ppld_ll_ll NONE_ppld_ll_ll = mp(NONE_pld_ll, 1);

ld LOG(ld v) {return log2l(v);}

ll n;

ppld_ll_ll comb(ppld_ll_ll lhs, ppld_ll_ll rhs) {
	return mp(max<pld_ll>(rhs.first, lhs.first), (rhs.second * lhs.second) % MOD);
}
vppld_ll_ll segtree; // ((max price, index), horses)
vpll interval;
vpld_ll lazy; // (price change, horses change)

void build(ll cur, ll left, ll right, vpld_ll& init_values) {
	interval[cur] = mp(left, right);
	lazy[cur] = NONE_pld_ll_lazy;

	if (left == right) {
		segtree[cur] = mp(mp(init_values[left].first, left), init_values[left].second);
		return;
	}

	ll mid = (left + right) / 2;
	build(2 * cur, left, mid, init_values);
	build(2 * cur + 1, mid + 1, right, init_values);
	segtree[cur] = comb(segtree[2 * cur], segtree[2 * cur + 1]);
}

ppld_ll_ll operator+(const ppld_ll_ll& lhs, const pld_ll& rhs) {
	return mp(mp(lhs.first.first + rhs.first, lhs.first.second), (lhs.second * rhs.second) % MOD);
}
pld_ll operator+(const pld_ll& lhs, const pld_ll& rhs) {
	return mp(lhs.first + rhs.first, (lhs.second * rhs.second) % MOD);
}

void propagate(ll cur) {
	segtree[cur] = segtree[cur] + lazy[cur];
	if (interval[cur].first != interval[cur].second) {
		lazy[2 * cur] = lazy[2 * cur] + lazy[cur];
		lazy[2 * cur + 1] = lazy[2 * cur + 1] + lazy[cur];
	}
	lazy[cur] = NONE_pld_ll_lazy;
}

void update(ll cur, ll left, ll right, pld_ll delta) {
	propagate(cur);
	if ((interval[cur].first > right) || (interval[cur].second < left)) return;

	if ((interval[cur].first >= left) && (interval[cur].second <= right)) {
		lazy[cur] = lazy[cur] + delta;
		propagate(cur);
		return;
	}

	update(2 * cur, left, right, delta);
	update(2 * cur + 1, left, right, delta);
	segtree[cur] = comb(segtree[2 * cur], segtree[2 * cur + 1]);
}

ppld_ll_ll query(ll cur, ll left, ll right) {
	propagate(cur);
	if ((interval[cur].first > right) || (interval[cur].second < left)) {
		return NONE_ppld_ll_ll;
	}

	if ((interval[cur].first >= left) && (interval[cur].second <= right)) {
		return segtree[cur];
	}

	return comb(query(2 * cur, left, right), query(2 * cur + 1, left, right));
}

vld x;
vld y;
vll XLL;
vll YLL;

ll max_money() {
	ppld_ll_ll q = query(1, 0, n - 1);
	ll index = q.first.second;
	ppld_ll_ll r = query(1, index, index);
	//cout << "((" << q.first.first << ", " << q.first.second << "), " << q.second << ") -> ((" << r.first.first << ", " << r.first.second << "), " << r.second << ")" << endl;
	return (r.second * YLL[index]) % MOD;
}


int init(int N, int X[], int Y[]) {
	n = N;

	x.resize(n);
	y.resize(n);
	XLL.resize(n);
	YLL.resize(n);
	rep(i, 0, n) {
		x[i] = LOG((ld) X[i]);
		y[i] = LOG((ld) Y[i]);
		XLL[i] = (ll) X[i];
		YLL[i] = (ll) Y[i];
	}

	vpld_ll init_values(n);
	ld h = 0.0;
	ll H = 1;
	rep(i, 0, n) {
		h += x[i];
		H *= XLL[i]; H %= MOD;
		init_values[i] = mp(h + y[i], H);
	}

	segtree.resize(4 * n);
	interval.resize(4 * n);
	lazy.resize(4 * n);
	build(1, 0, n - 1, init_values);

	return (int) max_money();
}

ll binary_exponentiation(ll b, ll e) {
	if (e == 0) return 1;
	ll d = binary_exponentiation(b, e >> 1);
	d = (d * d) % MOD;
	return (e & 1) ? (d * b) % MOD : d;
}

int updateX(int pos, int val) {
	ld new_h = LOG((ld) val);
	ld delta = new_h - x[pos];
	x[pos] = new_h;
	
	ll DELTA = (((ll) val) * binary_exponentiation(XLL[pos], MOD - 2)) % MOD;
	XLL[pos] = (ll) val;

	update(1, pos, n - 1, mp(delta, DELTA));

	return (int) max_money();
}

int updateY(int pos, int val) {
	ld new_p = LOG((ld) val);
	ld delta = new_p - y[pos];
	y[pos] = new_p;

	update(1, pos, pos, mp(delta, 1));

	YLL[pos] = (ll) val;

	return (int) max_money();
}

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 240 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 2 ms 724 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 724 KB Output is correct
29 Correct 2 ms 724 KB Output is correct
30 Correct 2 ms 724 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 2 ms 724 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 371 ms 231116 KB Output is correct
2 Correct 495 ms 231116 KB Output is correct
3 Correct 487 ms 231116 KB Output is correct
4 Correct 531 ms 231300 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 2 ms 724 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 724 KB Output is correct
29 Correct 2 ms 724 KB Output is correct
30 Correct 2 ms 724 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 2 ms 724 KB Output is correct
33 Correct 199 ms 231116 KB Output is correct
34 Correct 198 ms 231228 KB Output is correct
35 Correct 185 ms 231220 KB Output is correct
36 Correct 201 ms 231224 KB Output is correct
37 Correct 196 ms 231132 KB Output is correct
38 Correct 179 ms 231112 KB Output is correct
39 Correct 183 ms 231228 KB Output is correct
40 Correct 196 ms 231188 KB Output is correct
41 Correct 182 ms 231228 KB Output is correct
42 Correct 183 ms 231116 KB Output is correct
43 Correct 172 ms 231116 KB Output is correct
44 Correct 172 ms 231224 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 336 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 2 ms 724 KB Output is correct
27 Correct 2 ms 724 KB Output is correct
28 Correct 2 ms 724 KB Output is correct
29 Correct 2 ms 724 KB Output is correct
30 Correct 2 ms 724 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 2 ms 724 KB Output is correct
33 Correct 365 ms 231212 KB Output is correct
34 Correct 506 ms 231116 KB Output is correct
35 Correct 511 ms 231132 KB Output is correct
36 Correct 506 ms 231220 KB Output is correct
37 Correct 202 ms 231148 KB Output is correct
38 Correct 201 ms 231120 KB Output is correct
39 Correct 189 ms 231132 KB Output is correct
40 Correct 191 ms 231136 KB Output is correct
41 Correct 193 ms 231352 KB Output is correct
42 Correct 180 ms 231232 KB Output is correct
43 Correct 184 ms 231228 KB Output is correct
44 Correct 198 ms 231212 KB Output is correct
45 Correct 186 ms 231244 KB Output is correct
46 Correct 182 ms 231116 KB Output is correct
47 Correct 174 ms 231176 KB Output is correct
48 Correct 174 ms 231124 KB Output is correct
49 Correct 519 ms 231116 KB Output is correct
50 Correct 510 ms 231116 KB Output is correct
51 Correct 381 ms 231116 KB Output is correct
52 Correct 388 ms 231208 KB Output is correct
53 Correct 489 ms 231224 KB Output is correct
54 Correct 416 ms 231184 KB Output is correct
55 Correct 380 ms 231116 KB Output is correct
56 Correct 409 ms 231228 KB Output is correct
57 Correct 359 ms 231224 KB Output is correct
58 Correct 391 ms 231228 KB Output is correct
59 Correct 169 ms 231112 KB Output is correct