QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#468776#8338. Quad Kingdoms Chessreal_sigma_team#WA 105ms93860kbC++205.8kb2024-07-09 00:41:102024-07-09 00:41:12

Judging History

你现在查看的是最新测评结果

  • [2024-07-09 00:41:12]
  • 评测
  • 测评结果:WA
  • 用时:105ms
  • 内存:93860kb
  • [2024-07-09 00:41:10]
  • 提交

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 = 1000, 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: 3ms
memory: 38744kb

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: 82ms
memory: 38916kb

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: 81ms
memory: 32388kb

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: 0
Accepted
time: 101ms
memory: 66080kb

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:

ok 200000 tokens

Test #5:

score: 0
Accepted
time: 86ms
memory: 36056kb

input:

4
1 1 2 2
1
1
200000
2 1 2
1 1 3
1 2 1
2 1 2
2 1 2
2 1 3
2 1 1
2 1 1
1 4 2
2 1 3
1 3 1
1 2 1
1 3 2
2 1 1
1 4 2
2 1 1
2 1 2
1 1 1
2 1 2
2 1 1
1 4 1
1 2 2
2 1 1
1 1 1
1 4 3
2 1 3
1 1 3
2 1 2
1 2 1
2 1 1
2 1 1
2 1 1
2 1 3
2 1 2
1 2 3
2 1 3
1 3 3
2 1 1
1 2 3
2 1 2
1 1 2
2 1 2
2 1 3
1 2 1
1 4 3
2 1 2
2 1...

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

result:

ok 200000 tokens

Test #6:

score: 0
Accepted
time: 85ms
memory: 48536kb

input:

2
4 2
4
2 3 3 2
200000
1 1 2
1 2 2
1 2 2
1 2 4
1 1 2
1 2 4
2 2 1
1 1 3
2 3 2
2 3 1
2 2 4
2 3 2
2 2 1
1 1 4
1 2 4
2 2 1
1 1 2
2 1 2
2 4 4
1 2 4
1 2 3
2 4 4
2 3 1
2 1 3
2 3 1
2 2 1
1 1 2
2 2 1
1 2 3
1 2 2
1 2 1
1 2 4
1 2 4
1 1 3
1 1 4
2 1 3
1 1 1
1 2 4
2 1 2
2 3 4
1 2 4
2 2 1
1 2 1
2 3 2
1 2 3
2 3 3
1...

output:

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

result:

ok 200000 tokens

Test #7:

score: 0
Accepted
time: 99ms
memory: 85572kb

input:

7
3 3 4 1 1 3 3
5
3 3 2 1 4
200000
2 2 1
2 2 1
2 5 1
1 6 1
1 5 2
2 1 4
1 4 2
1 6 4
1 7 1
1 2 3
2 5 1
2 5 4
1 6 2
1 5 2
1 4 1
1 2 1
2 2 2
1 3 4
1 7 2
1 6 3
2 5 1
1 5 1
1 7 3
2 1 3
2 3 1
1 3 2
2 2 2
1 7 4
2 1 4
1 3 2
1 1 2
1 5 3
1 5 3
2 2 2
1 5 3
2 5 3
2 3 2
1 1 3
1 2 2
2 2 1
2 1 4
2 1 2
1 3 4
2 1 1
1...

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
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

ok 200000 tokens

Test #8:

score: 0
Accepted
time: 97ms
memory: 76180kb

input:

1
3
7
4 4 5 5 5 5 4
200000
2 2 4
2 6 4
1 1 4
2 6 4
2 1 3
2 2 3
2 1 3
1 1 5
1 1 5
2 3 5
1 1 4
1 1 4
2 6 5
2 5 1
2 1 2
2 7 2
1 1 5
2 4 5
1 1 2
1 1 3
2 4 2
2 1 3
1 1 3
2 1 1
1 1 1
2 3 1
1 1 4
1 1 5
1 1 1
2 5 2
2 7 3
1 1 5
2 6 4
1 1 4
2 7 4
2 3 3
2 3 1
1 1 3
1 1 3
2 4 4
1 1 4
1 1 2
1 1 1
2 3 1
2 1 1
1 1...

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 #9:

score: 0
Accepted
time: 105ms
memory: 93860kb

input:

8
3 1 2 2 1 4 4 4
3
1 4 4
200000
1 2 1
1 5 1
2 1 1
2 1 1
2 2 2
2 3 1
1 5 5
1 6 2
1 2 5
1 3 1
1 5 1
2 1 5
2 1 2
1 4 4
2 3 3
1 4 3
2 2 2
2 3 1
1 6 4
1 1 3
1 2 3
2 2 5
2 3 3
2 1 3
2 3 4
2 1 4
2 2 5
2 2 4
2 2 2
1 3 1
1 8 2
2 2 3
1 2 2
1 1 2
1 1 1
1 3 1
2 1 3
2 2 3
1 6 2
2 2 4
1 6 3
2 1 1
1 1 4
2 1 4
2 1...

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
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
NO
NO
NO
NO
NO
NO...

result:

ok 200000 tokens

Test #10:

score: -100
Wrong Answer
time: 88ms
memory: 58076kb

input:

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

output:

NO
NO
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
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
NO
NO
YES
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO
NO...

result:

wrong answer 69th words differ - expected: 'YES', found: 'NO'