oj.uz

Submission #936375

# Submission time Handle Problem Language Result Execution time Memory
936375 2024-03-01T18:05:45 Z EJIC_B_KEDAX Comparing Plants (IOI20_plants) C++17
30 / 100
 4000 ms 153852 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);
    }
    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;
    	}
    }
    // 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 49 ms 107092 KB Output is correct
2 Correct 16 ms 107136 KB Output is correct
3 Correct 17 ms 107100 KB Output is correct
4 Correct 17 ms 107100 KB Output is correct
5 Correct 17 ms 107076 KB Output is correct
6 Correct 198 ms 109800 KB Output is correct
7 Correct 345 ms 114000 KB Output is correct
8 Correct 1472 ms 150148 KB Output is correct
9 Correct 1360 ms 150136 KB Output is correct
10 Correct 1395 ms 150140 KB Output is correct
11 Correct 1309 ms 150140 KB Output is correct
12 Correct 1303 ms 150140 KB Output is correct
13 Correct 1154 ms 150208 KB Output is correct
14 Correct 1344 ms 150144 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 107076 KB Output is correct
2 Correct 16 ms 106992 KB Output is correct
3 Correct 16 ms 107100 KB Output is correct
4 Correct 17 ms 107108 KB Output is correct
5 Correct 16 ms 107128 KB Output is correct
6 Correct 26 ms 107356 KB Output is correct
7 Correct 154 ms 110784 KB Output is correct
8 Correct 21 ms 107100 KB Output is correct
9 Correct 27 ms 107344 KB Output is correct
10 Correct 183 ms 110964 KB Output is correct
11 Correct 99 ms 110740 KB Output is correct
12 Correct 239 ms 111040 KB Output is correct
13 Correct 150 ms 110932 KB Output is correct

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 107076 KB Output is correct
2 Correct 16 ms 106992 KB Output is correct
3 Correct 16 ms 107100 KB Output is correct
4 Correct 17 ms 107108 KB Output is correct
5 Correct 16 ms 107128 KB Output is correct
6 Correct 26 ms 107356 KB Output is correct
7 Correct 154 ms 110784 KB Output is correct
8 Correct 21 ms 107100 KB Output is correct
9 Correct 27 ms 107344 KB Output is correct
10 Correct 183 ms 110964 KB Output is correct
11 Correct 99 ms 110740 KB Output is correct
12 Correct 239 ms 111040 KB Output is correct
13 Correct 150 ms 110932 KB Output is correct
14 Correct 304 ms 113864 KB Output is correct
15 Correct 2410 ms 150396 KB Output is correct
16 Correct 328 ms 113856 KB Output is correct
17 Correct 2498 ms 150400 KB Output is correct
18 Correct 1451 ms 150652 KB Output is correct
19 Correct 1752 ms 150396 KB Output is correct
20 Execution timed out 4014 ms 84604 KB Time limit exceeded
21 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107100 KB Output is correct
2 Correct 17 ms 107100 KB Output is correct
3 Correct 145 ms 110260 KB Output is correct
4 Correct 1342 ms 153052 KB Output is correct
5 Correct 1573 ms 153228 KB Output is correct
6 Correct 1765 ms 153468 KB Output is correct
7 Correct 1943 ms 153692 KB Output is correct
8 Incorrect 2420 ms 153852 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 17 ms 107100 KB Output is correct
2 Correct 17 ms 107100 KB Output is correct
3 Correct 17 ms 107100 KB Output is correct
4 Correct 17 ms 107100 KB Output is correct
5 Correct 17 ms 107100 KB Output is correct
6 Correct 20 ms 107208 KB Output is correct
7 Correct 50 ms 108080 KB Output is correct
8 Correct 41 ms 108100 KB Output is correct
9 Correct 43 ms 108112 KB Output is correct
10 Correct 40 ms 108112 KB Output is correct
11 Correct 46 ms 108116 KB Output is correct
12 Correct 43 ms 107996 KB Output is correct
13 Correct 40 ms 108056 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107360 KB Output is correct
2 Correct 17 ms 107100 KB Output is correct
3 Correct 16 ms 107096 KB Output is correct
4 Correct 18 ms 107060 KB Output is correct
5 Correct 23 ms 107344 KB Output is correct
6 Correct 1234 ms 152352 KB Output is correct
7 Correct 1566 ms 152824 KB Output is correct
8 Correct 1849 ms 152884 KB Output is correct
9 Incorrect 2318 ms 152988 KB Output isn't correct
10 Halted 0 ms 0 KB -

Subtask #7
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 107092 KB Output is correct
2 Correct 16 ms 107136 KB Output is correct
3 Correct 17 ms 107100 KB Output is correct
4 Correct 17 ms 107100 KB Output is correct
5 Correct 17 ms 107076 KB Output is correct
6 Correct 198 ms 109800 KB Output is correct
7 Correct 345 ms 114000 KB Output is correct
8 Correct 1472 ms 150148 KB Output is correct
9 Correct 1360 ms 150136 KB Output is correct
10 Correct 1395 ms 150140 KB Output is correct
11 Correct 1309 ms 150140 KB Output is correct
12 Correct 1303 ms 150140 KB Output is correct
13 Correct 1154 ms 150208 KB Output is correct
14 Correct 1344 ms 150144 KB Output is correct
15 Correct 16 ms 107076 KB Output is correct
16 Correct 16 ms 106992 KB Output is correct
17 Correct 16 ms 107100 KB Output is correct
18 Correct 17 ms 107108 KB Output is correct
19 Correct 16 ms 107128 KB Output is correct
20 Correct 26 ms 107356 KB Output is correct
21 Correct 154 ms 110784 KB Output is correct
22 Correct 21 ms 107100 KB Output is correct
23 Correct 27 ms 107344 KB Output is correct
24 Correct 183 ms 110964 KB Output is correct
25 Correct 99 ms 110740 KB Output is correct
26 Correct 239 ms 111040 KB Output is correct
27 Correct 150 ms 110932 KB Output is correct
28 Correct 304 ms 113864 KB Output is correct
29 Correct 2410 ms 150396 KB Output is correct
30 Correct 328 ms 113856 KB Output is correct
31 Correct 2498 ms 150400 KB Output is correct
32 Correct 1451 ms 150652 KB Output is correct
33 Correct 1752 ms 150396 KB Output is correct
34 Execution timed out 4014 ms 84604 KB Time limit exceeded
35 Halted 0 ms 0 KB -