Submission #936426

#	Time	Username	Problem	Language	Result	Execution time	Memory
936426		EJIC_B_KEDAX	Comparing Plants (IOI20_plants)	C++17	75 / 100	2482 ms	293292 KiB

plants

#include <bits/stdc++.h>
#include "plants.h"

#define x first
#define y second

using ll = long long;
 
using namespace std;
 
const int LG = 19, 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];
pair<int, ll> 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++) {
    // 	cout << level[i] << ' ';
    // }
    // cout << '\n';
    // 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);
    // }
    set<pair<int, int>> st1;
    set<pair<int, int>> st2;
    for (int i = n - k + 1; i < n; i++) {
    	st1.emplace(-level[i], i);
    }
    for (int i = 1; i < k; i++) {
    	st2.emplace(-level[i], i);
    }
    for (int i = 0; i < n; i++) {
    	auto lb1 = st1.lower_bound({-level[i], N});
    	if (lb1 == st1.end()) {
    		binupl[0][i].x = i;
    	} else {
    		binupl[0][i].x = (*lb1).y;
    	}
    	st1.erase({-level[(i - k + 1 + n) % n], (i - k + 1 + n) % n});
    	st1.emplace(-level[i], 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;
    	}
    	auto lb2 = st2.lower_bound({-level[i], N});
    	if (lb2 == st2.end()) {
    		binupr[0][i].x = i;
    	} else {
    		binupr[0][i].x = (*lb2).y;
    	}
    	st2.erase({-level[i + 1], i + 1});
    	st2.emplace(-level[(i + k) % n], (i + k) % 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;
    	}
    }
}

bool try_compare(int x, int y) {
	ll dist = x - y;
	int nw = x;
	if (dist < 0) {
		dist += nn;
	}
	dist -= kk - 1;
	if (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;
		}
	}
	assert(dist > 0);
	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 (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;
		}
	}
	assert(dist > 0);
	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;
	}
	// if (level[x] > level[y]) {
	// 	return 1;
	// }
	// if (level[y] > level[x]) {
	// 	return -1;
	// }
	return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 14 / 14
• Subtask 3: 13 / 13
• Subtask 4: 17 / 17
• Subtask 5: 11 / 11
• Subtask 6: 15 / 15
• Subtask 7: 0 / 25