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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#468780#8338. Quad Kingdoms Chessreal_sigma_team#WA 100ms37760kbC++205.8kb2024-07-09 00:42:272024-07-09 00:42:27

Judging History

This is the latest submission verdict.

  • [2024-07-09 00:42:27]
  • Judged
  • Verdict: WA
  • Time: 100ms
  • Memory: 37760kb
  • [2024-07-09 00:42:27]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
#define x first
#define y second

void solve();

int main() {
#ifdef LOCAL
	cin.tie(nullptr)->sync_with_stdio(false);
#endif
	cout << fixed << setprecision(30);
	int t = 1;
	// cin >> t;
	while (t--) {
		solve();
	}
}

mt19937_64 mt(time(nullptr));

const int N = 100100, K = 250, mod = 100'000'007;
int a[N], b[N], prv[mod], sufa[N], sufb[N], prva[K], suffa[K], prvb[K], suffb[K], mna[N], mnb[N], inda[K], indb[K];
unsigned long long hsh[N], prefa[N], prefb[N];
pair<int, int> cha[K], chb[K], stk[N], chas[K], chbs[K];
pair<int, pair<int, int>> que[2 * N], chall[K];


void solve() {
	for (int i = 0; i < N; i++) {
		hsh[i] = mt();
	}
	int n1, n2, q;
	cin >> n1;
	for (int i = 0; i < n1; i++) {
		cin >> a[i];
	}
	cin >> n2;
	for (int i = 0; i < n2; i++) {
		cin >> b[i];
	}
	cin >> q;
	for (int i = 0; i < q; i++) {
		cin >> que[i].x >> que[i].y.x >> que[i].y.y; que[i].y.x--;
	}
	for (int st = 0; st < q; st += K) {
		int sz = min(K, q - st);
		for (int i = 0; i < n1; i++) {
			mna[i] = a[i];
		}
		for (int i = 0; i < n2; i++) {
			mnb[i] = b[i];
		}
		int indasz = 0, indbsz = 0;
		set<int> ia, ib;
		for (int i = 0; i < sz; i++) {
			chall[i] = que[i + st];
			if (chall[i].x == 1) {
				mna[chall[i].y.x] = min(mna[chall[i].y.x], chall[i].y.y);
				ia.insert(chall[i].y.x);
			} else {
				mnb[chall[i].y.x] = min(mnb[chall[i].y.x], chall[i].y.y);
				ib.insert(chall[i].y.x);
			}
		}
		for (int i : ia) {
			inda[indasz++] = i;
		}
		for (int i : ib) {
			indb[indbsz++] = i;
		}
		{
			sufa[n1 - 1] = 0;
			for (int i = n1 - 2; i >= 0; i--) {
				sufa[i] = max(sufa[i + 1], mna[i + 1]);
			}
			prefa[0] = 0;
			for (int i = 0; i < n1; i++) {
				if (mna[i] >= sufa[i]) {
					prefa[i + 1] = prefa[i] + hsh[mna[i]];
				} else {
					prefa[i + 1] = prefa[i];
				}
			}
			int chassz = 0;
			for (int i = 0; i < sz; i++) {
				if (chall[i].x == 1) {
					chas[chassz++] = chall[i].y;
					chas[chassz++] = {chall[i].y.x, a[chall[i].y.x]};
				}
			}
			sort(chas, chas + chassz);
			int stksz = 1, ptr = 0;
			stk[0] = {INT32_MAX, -1};
			for (int i = 0; i < n1; i++) {
				while (mna[i] >= stk[stksz - 1].x) {
					stksz--;
				}
				while (ptr < chassz && chas[ptr].x == i) {
					int nw = stksz;
					for (int l = 17; l >= 0; l--) {
						if (nw - (1 << l) >= 0 && stk[nw - (1 << l)].x < chas[ptr].y) {
							nw -= (1 << l);
						}
					}
					nw--;
					prv[(hsh[chas[ptr].x] + hsh[31] * hsh[chas[ptr].y] + hsh[0]) % mod] = stk[nw].y;
					ptr++;
				}
				stk[stksz++] = {mna[i], i};
			}
		}
		{
			sufb[n2 - 1] = 0;
			for (int i = n2 - 2; i >= 0; i--) {
				sufb[i] = max(sufb[i + 1], mnb[i + 1]);
			}
			prefb[0] = 0;
			for (int i = 0; i < n2; i++) {
				if (mnb[i] >= sufb[i]) {
					prefb[i + 1] = prefb[i] + hsh[mnb[i]];
				} else {
					prefb[i + 1] = prefb[i];
				}
			}
			int chbssz = 0;
			for (int i = 0; i < sz; i++) {
				if (chall[i].x == 2) {
					chbs[chbssz++] = chall[i].y;
					chbs[chbssz++] = {chall[i].y.x, b[chall[i].y.x]};
				}
			}
			sort(chbs, chbs + chbssz);
			int stksz = 1, ptr = 0;
			stk[0] = {INT32_MAX, -1};
			for (int i = 0; i < n2; i++) {
				while (mnb[i] >= stk[stksz - 1].x) {
					stksz--;
				}
				while (ptr < chbssz && chbs[ptr].x == i) {
					int nw = stksz;
					for (int l = 17; l >= 0; l--) {
						if (nw - (1 << l) >= 0 && stk[nw - (1 << l)].x < chbs[ptr].y) {
							nw -= (1 << l);
						}
					}
					nw--;
					prv[(hsh[chbs[ptr].x] + hsh[31] * hsh[chbs[ptr].y] + hsh[1]) % mod] = stk[nw].y;
					ptr++;
				}
				stk[stksz++] = {mnb[i], i};
			}
		}
		unsigned long long resmna = prefa[n1], resmnb = prefb[n2];
		for (int c = 0; c < sz; c++) {
			int chasz = 0, chbsz = 0;
			unsigned long long resa = resmna, resb = resmnb;
			if (chall[c].x == 1) {
				a[chall[c].y.x] = chall[c].y.y;
			} else {
				b[chall[c].y.x] = chall[c].y.y;
			}
			{
				for (int i = 0; i < indasz; i++) {
					if (mna[inda[i]] != a[inda[i]]) {
						cha[chasz++] = {inda[i], a[inda[i]]};
					}
				}
				int stksz = 1;
				stk[0] = {INT32_MAX, -1};
				for (int i = 0; i < chasz; i++) {
					while (cha[i].y > stk[stksz - 1].x) {
						stksz--;
					}
					prva[i] = stk[stksz - 1].y;
					stk[stksz++] = {cha[i].y, cha[i].x};
				}
				suffa[chasz - 1] = 0;
				for (int i = chasz - 2; i >= 0; i--) {
					suffa[i] = max(suffa[i + 1], cha[i + 1].y);
				}
				for (int i = 0; i < chasz; i++) {
					if (max(suffa[i], sufa[cha[i].x]) > cha[i].y) {
						continue;
					}
					int r = cha[i].x + 1;
					int l;
					int c1 = prva[i], c2 = prv[(hsh[cha[i].x] + hsh[31] * hsh[cha[i].y] + hsh[0]) % mod];
					if (a[c1] > a[c2]) {
						l = c1 + 1;
					} else if (a[c2] > a[c1]) {
						l = c2 + 1;
					} else {
						l = max(c1, c2) + 1;
					}
					resa -= prefa[r] - prefa[l];
					resa += hsh[cha[i].y];
				}
			}
			{
				for (int i = 0; i < indbsz; i++) {
					if (mnb[indb[i]] != b[indb[i]]) {
						chb[chbsz++] = {indb[i], b[indb[i]]};
					}
				}
				int stksz = 1;
				stk[0] = {INT32_MAX, -1};
				for (int i = 0; i < chbsz; i++) {
					while (chb[i].y > stk[stksz - 1].x) {
						stksz--;
					}
					prvb[i] = stk[stksz - 1].y;
					stk[stksz++] = {chb[i].y, chb[i].x};
				}
				suffb[chbsz - 1] = 0;
				for (int i = chbsz - 2; i >= 0; i--) {
					suffb[i] = max(suffb[i + 1], chb[i + 1].y);
				}
				for (int i = 0; i < chbsz; i++) {
					if (max(suffb[i], sufb[chb[i].x]) > chb[i].y) {
						continue;
					}
					int r = chb[i].x + 1;
					int l;
					int c1 = prvb[i], c2 = prv[(hsh[chb[i].x] + hsh[31] * hsh[chb[i].y] + hsh[1]) % mod];
					if (b[c1] > b[c2]) {
						l = c1 + 1;
					} else if (b[c2] > b[c1]) {
						l = c2 + 1;
					} else {
						l = max(c1, c2) + 1;
					}
					resb -= prefb[r] - prefb[l];
					resb += hsh[chb[i].y];
				}
			}
			cout << (resa == resb ? "YES\n" : "NO\n");
			// cout << resa << ' ' << resb << '\n';
		}
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 32624kb

input:

5
1 2 3 4 5
5
5 4 3 2 1
8
1 1 5
1 4 2
1 2 4
1 5 1
1 5 5
2 1 4
2 3 5
2 5 5

output:

NO
NO
NO
YES
NO
NO
NO
YES

result:

ok 8 tokens

Test #2:

score: 0
Accepted
time: 87ms
memory: 37640kb

input:

1
2
6
2 1 1 1 1 1
200000
2 6 2
1 1 1
1 1 1
1 1 2
2 1 1
1 1 2
1 1 1
2 4 1
2 1 2
1 1 1
1 1 2
2 5 1
1 1 1
1 1 2
1 1 1
2 6 1
1 1 2
1 1 2
1 1 2
2 3 1
1 1 1
2 1 1
2 6 2
1 1 2
2 4 1
1 1 2
2 6 1
1 1 2
1 1 1
2 5 2
2 6 2
1 1 1
2 4 2
2 5 2
2 6 2
1 1 1
2 5 1
2 6 2
1 1 2
1 1 1
1 1 1
2 4 1
1 1 2
1 1 2
1 1 2
2 3 2...

output:

NO
NO
NO
NO
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
YES
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
N...

result:

ok 200000 tokens

Test #3:

score: 0
Accepted
time: 82ms
memory: 36576kb

input:

6
2 1 1 2 1 2
1
1
200000
2 1 1
1 1 2
1 1 1
2 1 2
2 1 1
2 1 1
2 1 2
2 1 2
1 1 2
1 3 1
1 6 2
1 5 2
1 4 2
1 3 1
2 1 2
1 4 2
1 4 2
2 1 2
2 1 2
1 3 1
1 6 1
1 1 2
2 1 1
1 6 1
1 3 1
1 5 2
1 6 2
1 5 2
2 1 2
1 2 1
1 5 2
2 1 1
2 1 1
1 6 1
2 1 2
2 1 1
1 3 2
2 1 1
1 6 1
1 4 2
1 2 1
1 1 1
2 1 1
1 2 1
1 6 2
1 6 2...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
...

result:

ok 200000 tokens

Test #4:

score: -100
Wrong Answer
time: 100ms
memory: 37760kb

input:

6
1 3 1 2 1 2
6
2 1 3 3 3 1
200000
2 4 2
1 2 1
1 6 2
2 3 2
1 1 1
1 6 2
1 6 2
1 3 2
2 6 1
2 4 3
1 1 2
2 5 2
2 6 2
2 3 1
1 4 3
1 3 1
2 5 2
2 4 2
2 1 3
1 1 1
2 2 2
2 4 2
1 5 3
1 6 3
2 6 3
1 5 3
2 5 3
2 4 1
2 4 2
1 1 2
1 6 1
2 6 1
1 2 3
1 1 3
1 1 1
2 6 3
2 4 1
1 4 2
2 2 1
1 3 1
1 1 3
1 1 3
1 4 3
1 3 3
2...

output:

NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
YES
YES
YES
YES
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
N...

result:

wrong answer 129981st words differ - expected: 'YES', found: 'NO'