Submission #39732

#	Time	Username	Problem	Language	Result	Execution time	Memory
39732		farmersrice	Nuclearia (CEOI15_nuclearia)	C++14	55 / 100	1000 ms	299852 KiB

nuclearia

#include <bits/stdc++.h>
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
//#pragma GCC target ("avx,tune=native")
//Use above if bruteforcing with lots of small operations. Or just use it anytime, there's no downside. AVX is better slightly
/*
TASK: hidden
LANG: C++11
*/
using namespace std;
typedef long long ll;
typedef pair<int, int> pair2;
typedef pair<int, pair<int, int> > pair3;
typedef pair<int, pair<int, pair<int, int> > > pair4;
#define MAXN 200013
#define MAXA 2500013
#define INF 1000000000000000000LL
#define mp make_pair
#define add push_back
#define remove pop

/*
Why my alg TLE? because TL too strict
should only be O(w * h) with arrays...
*/

int n;
int w, h, q;
int x[MAXN], y[MAXN];
ll a[MAXN], b[MAXN];
bool swapped;

ll * trees[4][MAXA];
ll * metadelta[MAXA]; //ADDS OVER EACH CELL AFTER AND INCLUDING ITSELF
 
void update(int i, int j, ll sign) {
	if (i < 0 || j < 0) return;
	//cout << "Updating " << i << ' ' << j << ' ' << sign << endl;
	trees[0][i + 1][j + 1] += sign;
	trees[1][i + 1][j + 1] += sign * (i + 1);
	trees[2][i + 1][j + 1] += sign * (j + 1);
	trees[3][i + 1][j + 1] += sign * (i + 1) * (j + 1);
}

void makeArray(int a) {
	for (int i = 1; i <= w; i++) {
		for (int j = 1; j <= h; j++) {
			trees[a][i][j] += trees[a][i - 1][j] + trees[a][i][j - 1] - trees[a][i - 1][j - 1];
			//cout << "array made " << i << ' ' << j << " value " << trees[a][i][j] << endl;
		}
	}
}

ll getSum(int i, int j) {
	if (i < 0 || j < 0) return 0;
	ll answer = 0;
	answer += trees[3][i + 1][j + 1];
	//cout << "Trees 3 query " << i << ' ' << j << " is " << answer << endl;
	answer += (i + 1) * (trees[2][w][j + 1] - trees[2][i + 1][j + 1]);
	answer += (j + 1) * (trees[1][i + 1][h] - trees[1][i + 1][j + 1]);
	answer += (i + 1) * (j + 1) * (trees[0][w][h] - trees[0][w][j + 1] - trees[0][i + 1][h] + trees[0][i + 1][j + 1]);
	return answer;
}
 
ll getSum(int a, int b, int c, int d) {
	//a, b is bottom left
	//c, d is top right
 
	return getSum(c, d) - getSum(a - 1, d) - getSum(c, b - 1) + getSum(a - 1, b - 1);
}
 
void updateRect(int a, int b, int c, int d, ll value) {
	update(c, d, value); update(a - 1, d, -value); update(c, b - 1, -value); update(a - 1, b - 1, value);
}

//i copy this read in part from koosaga. my own code was too slow
static char _buffer[1024];
static int _currentChar = 0;
static int _charsNumber = 0;
 
static inline int _read() {
	if (_charsNumber < 0) {
		exit(1);
	}
	if (!_charsNumber || _currentChar == _charsNumber) {
		_charsNumber = (int)fread(_buffer, sizeof(_buffer[0]), sizeof(_buffer), stdin);
		_currentChar = 0;
	}
	if (_charsNumber <= 0) {
		return -1;
	}
	return _buffer[_currentChar++];
}

static inline int _readInt() {
	int c, x, s;
	c = _read();
	while (c <= 32) c = _read();
	x = 0;
	s = 1;
	if (c == '-') {
		s = -1;
		c = _read();
	}
	while (c > 32) {
		x *= 10;
		x += c - '0';
		c = _read();
	}
	if (s < 0) x = -x;
	return x;
}

int main() {
	ios_base::sync_with_stdio(false); 
	cin.tie(NULL);

	//scanf("%d%d", &w, &h);
	//scanf("%d", &n);
	w = _readInt(); h = _readInt(); n = _readInt();
	//cout << "Wha " << endl;

	for (int i = 0; i < n; i++) {
		//scanf("%d%d%lld%lld", &x[i], &y[i], &a[i], &b[i]);
		x[i] = _readInt(); y[i] = _readInt(); a[i] = _readInt(); b[i] = _readInt();
		x[i]--;
		y[i]--;
	}

	if (w > h) {
		swap(w, h);

		for (int i = 0; i < n; i++) {
			swap(x[i], y[i]);
		}

		swapped = true;
	}

	
	for (int a = 0; a < 4; a++) for (int i = 0; i <= w; i++) {
		trees[a][i] = new ll[h + 1];

		for (int j = 0; j < h + 1; j++) {
			trees[a][i][j] = 0;
		}
	}

	for (int i = 0; i <= w; i++) {
		metadelta[i] = new ll[h + 1];

		for (int j = 0; j < h + 1; j++) {
			metadelta[i][j] = 0;
		}
	}

	for (int i = 0; i < n; i++) {
		ll possible = (a[i] - 1) / b[i];

		if (possible == 0) {
			metadelta[x[i]][y[i]] += a[i];
			if (y[i] + 1 < h) {
				//cout << "owie " << endl;
				metadelta[x[i]][y[i] + 1] += - 2 * a[i]; 
				if (y[i] + 2 < h) metadelta[x[i]][y[i] + 2] += a[i];
			}
			continue;
		}

		int vstart = max(0, (int) (x[i] - possible));
		int vend = min(w - 1, (int) (x[i] + possible));
		int hstart = max(0, (int) (y[i] - possible));
		int hend = min(h - 1, (int) (y[i] + possible));

		for (int j = vstart; j <= vend; j++) {
			ll initialValue = a[i] - b[i] * max(llabs(x[i] - j), llabs(hstart - y[i]));
			metadelta[j][hstart] += initialValue;
			if (hstart + 1 < h) {
				metadelta[j][hstart + 1] += -initialValue;
				{metadelta[j][hstart + 1] += b[i];}
			}

			//find the places where the delta is subtracted in the middle
			ll heightDiff = llabs(x[i] - j);
			ll spot1 = max(hstart + 1LL, y[i] - heightDiff + 1);
			ll spot2 = min(hend + 1LL, y[i] + heightDiff + 1);

			//cout << "row " << j << " spot1, spot2 are " << spot1 << ' ' << spot2 << endl;

			if (spot1 >= hstart && spot1 <= hend) metadelta[j][(int) spot1] += -b[i];
			if (spot2 >= hstart && spot2 <= hend + 1) metadelta[j][(int) spot2] += -b[i]; 

			ll finalValue = a[i] - b[i] * max(llabs(x[i] - j), llabs(hend - y[i]));
			if (hend + 1 < h) {
				metadelta[j][hend + 1] += -finalValue;
				if (hend + 2 < h) metadelta[j][hend + 2] += finalValue;
				metadelta[j][hend + 1] += b[i];
			}
		}
	}

	for (int i = 0; i < w; i++) {
		ll delta = 0;
		ll current = 0;
		for (int j = 0; j < h; j++) {
			delta += metadelta[i][j];
			current += delta;

			//cout << current << ' ';
			updateRect(i, j, i, j, current);
		}
		//cout << endl;
	}

	makeArray(0); makeArray(1); makeArray(2); makeArray(3);


	q = _readInt();//scanf("%d", &q);//cin >> q;
	for (int i = 0; i < q; i++) {
		ll x1, y1, x2, y2;
		//scanf("%lld%lld%lld%lld", &x1, &y1, &x2, &y2);//cin >> x1 >> y1 >> x2 >> y2;
		x1 = _readInt(); y1 = _readInt(); x2 = _readInt(); y2 = _readInt();
		x1--; y1--; x2--; y2--;

		if (swapped) {
			swap(x1, y1);
			swap(x2, y2);
		}

		//cout << "bounds are " << x1 << ' ' << y1 << ' ' << x2 << ' ' << y2 << endl;
		ll sum = getSum(x1, y1, x2, y2);

		ll cells = (x2 - x1 + 1) * (y2 - y1 + 1);

		//cout << "query " << i << " found sum " << sum << " cells " << cells << endl;

		ll remainder = sum % cells;
		if ((cells % 2 == 0 && remainder >= cells / 2) || (cells % 2 == 1 && remainder > cells / 2)) {
			printf("%lld\n", 1 + sum / cells);//cout << 1 + sum / cells << endl; 
		} else {
			printf("%lld\n", sum / cells);//cout << sum / cells << endl;
		}
	}
	return 0;
}

• Subtask 1: 3 / 3
• Subtask 2: 2 / 2
• Subtask 3: 3 / 3
• Subtask 4: 2 / 2
• Subtask 5: 6 / 6
• Subtask 6: 4 / 4
• Subtask 7: 6 / 6
• Subtask 8: 4 / 4
• Subtask 9: 15 / 15
• Subtask 10: 10 / 10
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• Subtask 12: 0 / 10
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• Subtask 14: 0 / 8