QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#468769 | #8338. Quad Kingdoms Chess | real_sigma_team# | WA | 104ms | 101712kb | C++20 | 5.8kb | 2024-07-09 00:37:37 | 2024-07-09 00:37:38 |
Judging History
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(1337);
const int N = 100100, K = 500, 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: 36348kb
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: 39264kb
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: 84ms
memory: 35560kb
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: 99ms
memory: 69796kb
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: 84ms
memory: 35244kb
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: 91ms
memory: 49544kb
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: 104ms
memory: 82428kb
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: 93ms
memory: 87596kb
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: 100ms
memory: 101712kb
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: 82ms
memory: 52316kb
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'