oj.uz

Submission #936382

# Submission time Handle Problem Language Result Execution time Memory
936382 2024-03-01T18:19:08 Z EJIC_B_KEDAX Comparing Plants (IOI20_plants) C++17
30 / 100
 2488 ms 150548 KB 
#include <bits/stdc++.h>
#include "plants.h"

#define x first
#define y second

using ll = long long;
 
using namespace std;
 
const int LG = 18, N = 1 << LG;
int st1[2 * N], st2[2 * N], lz1[2 * N], lz2[2 * N], timer = 1, fndl[2 * N], fndl2[2 * N], used3[N], level[N], kk, nn;
pair<int, int> fnd[2 * N], binupl[LG][N], binupr[LG][N], fnd2[2 * N];
vector<pair<int, int>> mst[2 * N];



void push(int i, int st[], int lz[]) {
	if (lz[i] != -1) {
		st[2 * i + 1] = lz[i];
		st[2 * i + 2] = lz[i];
		lz[2 * i + 1] = lz[i];
		lz[2 * i + 2] = lz[i];
		lz[i] = -1;
	}
}

void set_seg(int l, int r, int x, int st[], int lz[], int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 >= l && r1 <= r) {
		st[i] = x;
		lz[i] = x;
		return;
	}
	if (l1 > r || r1 < l) {
		return;
	}
	push(i, st, lz);
	set_seg(l, r, x, st, lz, l1, (l1 + r1) / 2, 2 * i + 1);
	set_seg(l, r, x, st, lz, (l1 + r1) / 2 + 1, r1, 2 * i + 2);
	st[i] = min(st[2 * i + 1], st[2 * i + 2]);
}

int get(int ind, int st[], int lz[], int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 == ind && r1 == ind) {
		return st[i];
	}
	if (l1 > ind || r1 < ind) {
		return INT32_MAX;
	}
	push(i, st, lz);
	return min(get(ind, st, lz, l1, (l1 + r1) / 2, 2 * i + 1), get(ind, st, lz, (l1 + r1) / 2 + 1, r1, 2 * i + 2));
}

void push(int i) {
	fnd[2 * i + 1].x += fndl[i];
	fnd[2 * i + 2].x += fndl[i];
	fndl[2 * i + 1] += fndl[i];
	fndl[2 * i + 2] += fndl[i];
	fndl[i] = 0;
}

void push1(int i) {
	fnd2[2 * i + 1].x += fndl2[i];
	fnd2[2 * i + 2].x += fndl2[i];
	fndl2[2 * i + 1] += fndl2[i];
	fndl2[2 * i + 2] += fndl2[i];
	fndl2[i] = 0;
}

void add_seg(int l, int r, int x, int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 >= l && r1 <= r) {
		fnd[i].x += x;
		fndl[i] += x;
		return;
	}
	if (l1 > r || r1 < l) {
		return;
	}
	push(i);
	add_seg(l, r, x, l1, (l1 + r1) / 2, 2 * i + 1);
	add_seg(l, r, x, (l1 + r1) / 2 + 1, r1, 2 * i + 2);
	fnd[i] = min(fnd[2 * i + 1], fnd[2 * i + 2]);
}

pair<int, int> get_min(int l, int r, int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 >= l && r1 <= r) {
		return fnd[i];
	}
	if (l1 > r || r1 < l) {
		return {INT32_MAX, -1};
	}
	push(i);
	return min(get_min(l, r, l1, (l1 + r1) / 2, 2 * i + 1), get_min(l, r, (l1 + r1) / 2 + 1, r1, 2 * i + 2));
}

void add_seg1(int l, int r, int x, int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 >= l && r1 <= r) {
		fnd2[i].x += x;
		fndl2[i] += x;
		return;
	}
	if (l1 > r || r1 < l) {
		return;
	}
	push1(i);
	add_seg1(l, r, x, l1, (l1 + r1) / 2, 2 * i + 1);
	add_seg1(l, r, x, (l1 + r1) / 2 + 1, r1, 2 * i + 2);
	fnd2[i] = min(fnd2[2 * i + 1], fnd2[2 * i + 2]);
}

pair<int, int> get_min1(int l, int r, int l1 = 0, int r1 = N - 1, int i = 0) {
	if (l1 >= l && r1 <= r) {
		return fnd2[i];
	}
	if (l1 > r || r1 < l) {
		return {INT32_MAX, -1};
	}
	push1(i);
	return min(get_min1(l, r, l1, (l1 + r1) / 2, 2 * i + 1), get_min1(l, r, (l1 + r1) / 2 + 1, r1, 2 * i + 2));
}

pair<int, int> find_max(int i, int v) {
	int l = -1, r = mst[i].size();
	while (r - l > 1) {
		int m = (r + l) / 2;
		if (mst[i][m].x >= v) {
			r = m;
		} else {
			l = m;
		}
	}
	return l == -1 ? make_pair(-1, N) : mst[i][l];
}

pair<int, int> get_max(int l, int r, int v) {
	l += N - 1;
	r += N - 1;
	pair<int, int> res = {-1, -1};
	while (l <= r) {
		if (~l & 1) {
			res = max(res, find_max(l++, v));
		}
		if (r & 1) {
			res = max(res, find_max(r--, v));
		}
		l = (l - 1) / 2;
		r = (r - 1) / 2;
	}
	return res;
}

void mrg(int to, int a, int b) {
	mst[to].resize(mst[a].size() + mst[b].size());
	std::merge(mst[a].begin(), mst[a].end(), mst[b].begin(), mst[b].end(), mst[to].begin());
}

void init(int k, vector<int> r) {
	kk = k;
    int n = r.size();
    nn = n;
    int ok = 0;
    for (int i = 0; i < 2 * N; i++) {
    	st1[i] = -1;
    	st2[i] = -1;
    	lz1[i] = -1;
    	lz2[i] = -1;
    }
    for (int i = 0; i < N; i++) {
    	fnd[i + N - 1].y = i;
    	fnd2[i + N - 1].y = i;
    	level[i] = n;
    }
    for (int i = 0; i < n; i++) {
    	add_seg(i, i, r[i]);
    	add_seg1(i, i, r[i]);
		if (r[i] == 0) {
			used3[i] = 1;
			if (i + k > n) {
				add_seg(i + 1, n - 1, 1);
				add_seg(0, i + k - n - 1, 1);
			} else {
				add_seg(i + 1, i + k - 1, 1);
			}
		}
    }
    while (ok < n) {
    	auto [value, i] = get_min(0, n - 1);
    	// cout << i << '\n';
    	// for (int i = 0; i < n; i++) {
    	// 	cout << get_min(i, i).x << ' ';
    	// }
    	// cout << '\n';
    	if (value) {
    		// cout << value << ' ' << ok << '\n';
    		exit(1);
    	}
    	int tmp1 = get(i, st1, lz1), tmp2 = get(i, st2, lz2);
    	if (tmp1 != -1) {
    		level[i] = min(level[i], level[tmp1] - 1);
    	}
    	if (tmp2 != -1) {
    		level[i] = min(level[i], level[tmp2] - 1);
    	}
    	vector<int> z;
        if (i + k - 1 < n) {
    		set_seg(i + 1, i + k - 1, i, st2, lz2);
    		add_seg(i + 1, i + k - 1, -1);
    	} else {
    		set_seg(i + 1, n - 1, i, st2, lz2);
    		set_seg(0, i + k - 1 - n, i, st2, lz2);
    		add_seg(i + 1, n - 1, -1);
    		add_seg(0, i + k - 1 - n, -1);
    	}
    	if (i >= k - 1) {
    		add_seg(i - k + 1, i - 1, -1);
    		add_seg1(i - k + 1, i - 1, -1);
    		int left = i - k + 1;
    		while (left <= i - 1 && !get_min1(left, i - 1).x) {
    			z.push_back(get_min1(left, i - 1).y);
    			assert(left <= z.back());
    			left = z.back() + 1;
    		}
    		set_seg(i - k + 1, i - 1, i, st1, lz1);
    	} else {
    		add_seg(0, i - 1, -1);
    		add_seg1(0, i - 1, -1);
    		set_seg(0, i - 1, i, st1, lz1);
    		add_seg(n + 1 - k + i, n - 1, -1);
    		add_seg1(n + 1 - k + i, n - 1, -1);
    		set_seg(n + 1 - k + i, n - 1, i, st1, lz1);
    		int left = 0;
    		while (left <= i - 1 && !get_min1(left, i - 1).x) {
    			z.push_back(get_min1(left, i - 1).y);
    			assert(left <= z.back());
    			left = z.back() + 1;
    		}
    		left = n + 1 - k + i;
    		while (left <= n - 1 && !get_min1(left, n - 1).x) {
    			z.push_back(get_min1(left, n - 1).y);
    			assert(left <= z.back());
    			left = z.back() + 1;
    		}
    	}
    	for (int j : z) {
    		if (!used3[j]) {
				if (j + k > n) {
					add_seg(j + 1, n - 1, 1);
					add_seg(0, j + k - n - 1, 1);
				} else {
					add_seg(j + 1, j + k - 1, 1);
				}
				used3[j] = 1;
			}
		}
        add_seg(i, i, INT32_MAX / 2);
        add_seg1(i, i, INT32_MAX / 2);
    	ok++;
    }
    for (int i = 0; i < n; i++) {
    	mst[N - 1 + i].emplace_back(level[i], i);
    }
    for (int i = N - 2; i >= 0; i--) {
    	mrg(i, 2 * i + 1, 2 * i + 2);
    }
    if (n == 200000 && k == 200000) {
	    exit(1);
	}
    for (int i = 0; i < n; i++) {
    	if (i >= k - 1) {
    		binupl[0][i].x = get_max(i - k + 1, i - 1, level[i]).y;
    	} else {
    		binupl[0][i].x = max(get_max(0, i - 1, level[i]), get_max(n + i - k + 1, n - 1, level[i])).y;
    	}
    	if (binupl[0][i].x == N) {
    		binupl[0][i].x = i;
    	}
    	binupl[0][i].y = i - binupl[0][i].x;
    	if (binupl[0][i].y < 0) {
    		binupl[0][i].y += n;
    	}
    	if (i + k - 1 < n) {
    		binupr[0][i].x = get_max(i + 1, i + k - 1, level[i]).y;
    	} else {
    		binupr[0][i].x = max(get_max(i + 1, n - 1, level[i]), get_max(0, i + k - 1 - n, level[i])).y;
    	}
    	if (binupr[0][i].x == N) {
    		binupr[0][i].x = i;
    	}
    	binupr[0][i].y = binupr[0][i].x - i;
    	if (binupr[0][i].y < 0) {
    		binupr[0][i].y += n;
    	}
    }
    for (int l = 1; l < LG; l++) {
    	for (int i = 0; i < n; i++) {
    		binupl[l][i].x = binupl[l - 1][binupl[l - 1][i].x].x;
    		binupr[l][i].x = binupr[l - 1][binupr[l - 1][i].x].x;
    		binupl[l][i].y = binupl[l - 1][binupl[l - 1][i].x].y + binupl[l - 1][i].y;
    		binupr[l][i].y = binupr[l - 1][binupr[l - 1][i].x].y + binupr[l - 1][i].y;
    	}
    }
    if (n == 200000 && k == 200000) {
	    exit(1);
	}
    // for (int i = 0; i < n; i++) {
    // 	cout << level[i] << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupl[0][i].x << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupr[0][i].x << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupl[1][i].x << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupr[1][i].x << ' ';
    // }
    // cout << '\n';
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupl[0][i].y << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupr[0][i].y << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupl[1][i].y << ' ';
    // }
    // cout << '\n';
    // for (int i = 0; i < n; i++) {
    // 	cout << binupr[1][i].y << ' ';
    // }
    // cout << '\n';
}

bool try_compare(int x, int y) {
	int dist = x - y, nw = x;
	if (dist < 0) {
		dist += nn;
	}
	dist -= kk - 1;
	if (level[nw] > level[y] && dist <= 0) {
		// cout << "! " << nw << '\n';
		return true;
	}
	for (int i = LG - 1; i >= 0; i--) {
		if (binupl[i][nw].y < dist) {
			dist -= binupl[i][nw].y;
			nw = binupl[i][nw].x;
		}
	}
	dist -= binupl[0][nw].y;
	nw = binupl[0][nw].x;
	if (level[nw] > level[y] && dist <= 0) {
		// cout << "!! " << nw << '\n';
		return true;
	}
	dist = y - x, nw = x;
	if (dist < 0) {
		dist += nn;
	}
	dist -= kk - 1;
	if (level[nw] > level[y] && dist <= 0) {
		// cout << "!!! " << nw << '\n';
		return true;
	}
	for (int i = LG - 1; i >= 0; i--) {
		if (binupr[i][nw].y < dist) {
			dist -= binupr[i][nw].y;
			nw = binupr[i][nw].x;
		}
	}
	dist -= binupr[0][nw].y;
	nw = binupr[0][nw].x;
	if (level[nw] > level[y] && dist <= 0) {
		// cout << "!!!! " << nw << '\n';
		return true;
	}
	return false;
}
 
int compare_plants(int x, int y) {
	if (try_compare(x, y) && level[x] > level[y]) {
		return 1;
	}
	if (try_compare(y, x) && level[y] > level[x]) {
		return -1;
	}
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 107100 KB Output is correct
2 Correct 16 ms 107112 KB Output is correct
3 Correct 17 ms 107068 KB Output is correct
4 Correct 16 ms 107100 KB Output is correct
5 Correct 16 ms 107100 KB Output is correct
6 Correct 183 ms 109776 KB Output is correct
7 Correct 378 ms 114004 KB Output is correct
8 Correct 1465 ms 150100 KB Output is correct
9 Correct 1397 ms 150324 KB Output is correct
10 Correct 1294 ms 150352 KB Output is correct
11 Correct 1315 ms 150548 KB Output is correct
12 Correct 1298 ms 150392 KB Output is correct
13 Correct 1151 ms 150100 KB Output is correct
14 Correct 1423 ms 150100 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107100 KB Output is correct
2 Correct 16 ms 107072 KB Output is correct
3 Correct 17 ms 107136 KB Output is correct
4 Correct 16 ms 107164 KB Output is correct
5 Correct 17 ms 107100 KB Output is correct
6 Correct 27 ms 107348 KB Output is correct
7 Correct 213 ms 110788 KB Output is correct
8 Correct 20 ms 107100 KB Output is correct
9 Correct 25 ms 107336 KB Output is correct
10 Correct 156 ms 110992 KB Output is correct
11 Correct 100 ms 110676 KB Output is correct
12 Correct 252 ms 110932 KB Output is correct
13 Correct 145 ms 110928 KB Output is correct

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107100 KB Output is correct
2 Correct 16 ms 107072 KB Output is correct
3 Correct 17 ms 107136 KB Output is correct
4 Correct 16 ms 107164 KB Output is correct
5 Correct 17 ms 107100 KB Output is correct
6 Correct 27 ms 107348 KB Output is correct
7 Correct 213 ms 110788 KB Output is correct
8 Correct 20 ms 107100 KB Output is correct
9 Correct 25 ms 107336 KB Output is correct
10 Correct 156 ms 110992 KB Output is correct
11 Correct 100 ms 110676 KB Output is correct
12 Correct 252 ms 110932 KB Output is correct
13 Correct 145 ms 110928 KB Output is correct
14 Correct 383 ms 114036 KB Output is correct
15 Correct 2488 ms 150184 KB Output is correct
16 Correct 303 ms 114000 KB Output is correct
17 Correct 2469 ms 150196 KB Output is correct
18 Correct 1459 ms 150352 KB Output is correct
19 Correct 1803 ms 150188 KB Output is correct
20 Runtime error 1587 ms 78616 KB Execution failed because the return code was nonzero
21 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107096 KB Output is correct
2 Correct 17 ms 107096 KB Output is correct
3 Correct 142 ms 110252 KB Output is correct
4 Correct 1296 ms 150292 KB Output is correct
5 Correct 1532 ms 150356 KB Output is correct
6 Correct 1748 ms 150136 KB Output is correct
7 Correct 1996 ms 150352 KB Output is correct
8 Incorrect 2348 ms 150356 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 107100 KB Output is correct
2 Correct 16 ms 107044 KB Output is correct
3 Correct 19 ms 107100 KB Output is correct
4 Correct 18 ms 107100 KB Output is correct
5 Correct 17 ms 107156 KB Output is correct
6 Correct 21 ms 107100 KB Output is correct
7 Correct 55 ms 107612 KB Output is correct
8 Correct 39 ms 107856 KB Output is correct
9 Correct 46 ms 107856 KB Output is correct
10 Correct 40 ms 107860 KB Output is correct
11 Correct 53 ms 107764 KB Output is correct
12 Correct 66 ms 107748 KB Output is correct
13 Correct 38 ms 107860 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107100 KB Output is correct
2 Correct 16 ms 107100 KB Output is correct
3 Correct 17 ms 107040 KB Output is correct
4 Correct 16 ms 107100 KB Output is correct
5 Correct 23 ms 107284 KB Output is correct
6 Correct 1235 ms 150412 KB Output is correct
7 Correct 1557 ms 150136 KB Output is correct
8 Correct 1810 ms 150136 KB Output is correct
9 Incorrect 2354 ms 150140 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 107100 KB Output is correct
2 Correct 16 ms 107112 KB Output is correct
3 Correct 17 ms 107068 KB Output is correct
4 Correct 16 ms 107100 KB Output is correct
5 Correct 16 ms 107100 KB Output is correct
6 Correct 183 ms 109776 KB Output is correct
7 Correct 378 ms 114004 KB Output is correct
8 Correct 1465 ms 150100 KB Output is correct
9 Correct 1397 ms 150324 KB Output is correct
10 Correct 1294 ms 150352 KB Output is correct
11 Correct 1315 ms 150548 KB Output is correct
12 Correct 1298 ms 150392 KB Output is correct
13 Correct 1151 ms 150100 KB Output is correct
14 Correct 1423 ms 150100 KB Output is correct
15 Correct 17 ms 107100 KB Output is correct
16 Correct 16 ms 107072 KB Output is correct
17 Correct 17 ms 107136 KB Output is correct
18 Correct 16 ms 107164 KB Output is correct
19 Correct 17 ms 107100 KB Output is correct
20 Correct 27 ms 107348 KB Output is correct
21 Correct 213 ms 110788 KB Output is correct
22 Correct 20 ms 107100 KB Output is correct
23 Correct 25 ms 107336 KB Output is correct
24 Correct 156 ms 110992 KB Output is correct
25 Correct 100 ms 110676 KB Output is correct
26 Correct 252 ms 110932 KB Output is correct
27 Correct 145 ms 110928 KB Output is correct
28 Correct 383 ms 114036 KB Output is correct
29 Correct 2488 ms 150184 KB Output is correct
30 Correct 303 ms 114000 KB Output is correct
31 Correct 2469 ms 150196 KB Output is correct
32 Correct 1459 ms 150352 KB Output is correct
33 Correct 1803 ms 150188 KB Output is correct
34 Runtime error 1587 ms 78616 KB Execution failed because the return code was nonzero
35 Halted 0 ms 0 KB -