QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#85184 | #4817. Half Plane | Scintilla | WA | 367ms | 63632kb | C++14 | 9.8kb | 2023-03-07 07:43:10 | 2023-03-07 07:43:14 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define mp make_pair
#define pb emplace_back
#define rep(i, s, e) for (int i = s; i <= e; ++i)
#define drep(i, s, e) for (int i = s; i >= e; --i)
#define file(a) freopen(#a".in", "r", stdin), freopen(#a".out", "w", stdout)
#define pv(a) cout << #a << " = " << a << endl
#define pa(a, l, r) cout << #a " : "; rep(_, l, r) cout << a[_] << ' '; cout << endl
using pii = pair <int, int>;
const int INF = 0x3f3f3f3f;
const int P = 1e9 + 7;
const int N = 6e5 + 10;
const int M = 3e4 + 10;
int read() {
int x = 0, f = 1; char c = getchar();
for (; c < '0' || c > '9'; c = getchar()) if (c == '-') f = -1;
for (; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - 48;
return x * f;
}
int inc(int a, int b) { return (a += b) >= P ? a - P : a; }
int dec(int a, int b) { return (a -= b) < 0 ? a + P : a; }
int mul(int a, int b) { return 1ll * a * b % P; }
int qpow(int a, int b) { int res = 1; for (; b; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a); return res; }
mt19937_64 rng(time(0));
int Rand(int l, int r) {
return l + rng() % (r - l + 1);
}
struct Data {
int val[3];
Data() {
rep(i, 0, 2) val[i] = 0;
}
int& operator [] (int i) {
return val[i];
}
void init() {
rep(i, 0, 2) val[i] = read();
}
void add_eq(Data a) {
rep(i, 0, 2) val[i] = inc(val[i], a[i]);
}
void add(Data a, Data b) {
rep(i, 0, 2) val[i] = inc(a[i], b[i]);
}
void clr() {
*this = Data();
}
void print() {
rep(i, 0, 2) printf("%d%c", val[i], " \n"[i == 2]);
}
bool empty() {
Data e = Data();
rep(i, 0, 2) {
if (val[i] != e[i]) return false;
}
return true;
}
} ;
struct Operation {
int val[3][3];
Operation() {
rep(i, 0, 2) rep(j, 0, 2) val[i][j] = i == j;
}
int* operator [](int i) {
return val[i];
}
void init() {
rep(i, 0, 2) rep(j, 0, 2) val[i][j] = read();
}
void apply(Data &a) {
Data res;
rep(i, 0, 2) rep(j, 0, 2) {
res[i] = inc(res[i], mul(val[i][j], a[j]));
}
a = res;
}
void apply(Operation &a) {
Operation res;
rep(i, 0, 2) res[i][i] = 0;
rep(i, 0, 2) rep(j, 0, 2) rep(k, 0, 2) {
res[i][j] = inc(res[i][j], mul(val[i][k], a[k][j]));
}
a = res;
}
void clr() {
*this = Operation();
}
bool empty() {
Operation e = Operation();
rep(i, 0, 2) rep(j, 0, 2) {
if (val[i][j] != e[i][j]) return false;
}
return true;
}
void print() {
rep(i, 0, 2) rep(j, 0, 2) {
cout << val[i][j] << " \n"[j == 2];
}
}
} ;
struct frac {
int p, q;
frac(int _p = 0, int _q = 1) {
// cerr << "_p, _q = " << _p << ' ' << _q << endl;
p = _p, q = _q;
int g = __gcd(p, q);
p /= g, q /= g;
if (q < 0) p = -p, q = -q;
// cerr << "p, q = " << p << ' ' << q << endl;
}
friend bool operator < (frac a, frac b) {
return 1ll * a.p * b.q < 1ll * a.q * b.p;
}
friend bool operator == (frac a, frac b) {
return 1ll * a.p * b.q == 1ll * b.p * a.q;
}
void print() {
printf("%d/%d\n", p, q);
}
} ;
struct vec {
int x, y;
void init() {
x = read(), y = read();
}
friend bool operator < (vec a, vec b) {
return a.x == b.x ? a.y < b.y : a.x < b.x;
}
void print() {
printf("(%d, %d)\n", x, y);
}
} ;
struct line {
int a, b, c;
void init() {
a = read(), b = read(), c = -read();
}
bool chk(vec p) {
return a * p.x + b * p.y + c < 0;
}
bool above(vec p) {
// cout << "x, y, a, b, c = " << p.x << ' ' << p.y << ' ' << a << ' ' << b << ' ' << c << endl;
if (b > 0) return a * p.x + b * p.y + c < 0;
else return a * p.x + b * p.y + c > 0;
}
frac k() {
return frac(-a, b);
}
friend bool operator < (line l1, line l2) {
if (l1.k() == l2.k()) {
return l1.c < l2.c;
}
else return l1.k() < l2.k();
}
} ;
frac inter(line l1, line l2) {
return frac(l2.c * l1.b - l1.c * l2.b, l1.a * l2.b - l2.a * l1.b);
}
#define ls lson[u]
#define rs rson[u]
int tot, lson[N], rson[N];
vec p[N];
Data dat[N];
Operation laz[N];
void down(int u, Operation o) {
o.apply(dat[u]);
o.apply(laz[u]);
}
void pushdown(int u) {
// cout << "pushdown u = " << u << endl;
// rep(i, 0, 2) rep(j, 0, 2) {
// cout << laz[u][i][j] << " \n"[j == 2];
// }
down(ls, laz[u]);
down(rs, laz[u]);
laz[u].clr();
}
void maintain(int u) {
p[u] = p[ls];
dat[u].add(dat[ls], dat[rs]);
}
int newnode() {
return ++ tot;
}
void undo() {
pushdown(tot);
lson[tot] = rson[tot] = 0;
p[tot] = vec();
dat[tot].clr();
-- tot;
}
struct O {
int id;
line l;
Operation o;
} op[N];
int n, m, B, pre[N], suf[N], h[N], key[N], rk[N];
void solve(int l, int r, vector <int> c) {
// cout << "----- solve l, r = " << l << ' ' << r << endl;
// cout << "c : ";
// for (auto it : c) cout << it << ' ';
// cout << endl;
int len = r - l + 1, cur = tot;
auto work = [&]() {
for (auto it : c) h[it] = 0;
vector <int> ord;
rep(i, l, r) ord.pb(i);
sort(ord.begin(), ord.end(), [&](int i, int j) {
line l1 = op[i].l, l2 = op[j].l;
if (l1.k() == l2.k()) {
return l1.c < l2.c;
}
else return l2.k() < l1.k();
});
// pa(ord, 0, len - 1);
rep(i, 0, len - 1) {
key[ord[i]] = rng() % (1 << 30);
pre[ord[i]] = i ? pre[ord[i - 1]] : 0;
if (op[ord[i]].l.b < 0) pre[ord[i]] ^= key[ord[i]];
rk[ord[i]] = i;
}
drep(i, len - 1, 0) {
suf[ord[i]] = i < len - 1 ? suf[ord[i + 1]] : 0;
if (op[ord[i]].l.b > 0) suf[ord[i]] ^= key[ord[i]];
}
sort(c.begin(), c.end(), [&](int i, int j) {
return p[i] < p[j];
});
vector <pair <frac, pii> > px;
rep(i, 0, len - 1) rep(j, i + 1, len - 1) if (op[ord[j]].l.k() < op[ord[i]].l.k()) {
// cout << "i, j = " << i << ' ' << j << endl;
// auto it = inter(op[ord[i]].l, op[ord[j]].l);
// it.print();
px.pb(mp(inter(op[ord[i]].l, op[ord[j]].l), mp(ord[i], ord[j])));
}
px.pb(mp(frac(INF, 1), mp(0, 0)));
sort(px.begin(), px.end(), [&](pair <frac, pii> a, pair <frac, pii> b) {
if (a.first == b.first) {
if (rk[a.second.first] == rk[b.second.first]) {
return rk[a.second.second] < rk[b.second.second];
}
else return rk[a.second.first] < rk[b.second.first];
}
else return a.first < b.first;
});
// for (auto it : px) {
// it.first.print();
// }
// pv(px.size());
// pa(ord, 0, len - 1);
for (int i = 0, j = 0; i < px.size(); ++ i) {
// pv(i);
// px[i].first.print();
for (; j < c.size() && p[c[j]].x < px[i].first; ++ j) {
// cout << "ord : ";
// for (auto it : ord) cout << it << ' ';
// cout << endl;
auto it = partition_point(ord.begin(), ord.end(), [&](int k) {
return !op[k].l.above(p[c[j]]);
});
// cout << "i, j = " << i << ' ' << j << endl;
// pv(c[j]);
// rep(k, 0, len - 1) {
// cout << "k, ord[k] = " << k << ' ' << ord[k] << endl;
// pv(op[ord[k]].l.above(p[c[j]]));
// }
if (it != ord.end()) h[c[j]] ^= suf[*it];
if (it != ord.begin()) h[c[j]] ^= pre[*(-- it)];
}
// pa(ord, 0, len - 1);
int u = px[i].second.first, v = px[i].second.second;
// cout << "u, v = " << u << ' ' << v << endl;
if (!u && !v) continue;
// assert(rk[u] + 1 == rk[v]);
swap(ord[rk[u]], ord[rk[v]]);
swap(rk[u], rk[v]);
if (op[u].l.b < 0) pre[v] ^= key[u];
else suf[v] ^= key[u];
if (op[v].l.b < 0) pre[u] ^= key[v];
else suf[u] ^= key[v];
// pa(pre, 1, m);
// pa(suf, 1, m);
// pa(ord, 0, len - 1);
}
sort(c.begin(), c.end(), [&](int i, int j) {
return h[i] < h[j];
});
vector <int> nc;
for (int i = 0, j; i < c.size(); i = j + 1) {
for (j = i; j + 1 < c.size() && h[c[j + 1]] == h[c[i]]; ++ j) ;
if (i < j) {
rep(k, i + 1, j) {
int u = newnode();
ls = k == i + 1 ? c[i] : u - 1, rs = c[k];
maintain(u);
// pv(u);
// pv(ls);
// pv(rs);
// pa(dat[u], 0, 2);
// pa(dat[ls], 0, 2);
// pa(dat[rs], 0, 2);
}
nc.pb(tot);
}
else nc.pb(c[i]);
}
// pa(key, 1, m);
// pa(h, 1, n);
c = nc;
} ;
work();
// cout << "work done.\n";
// cout << "c : ";
// for (auto it : c) cout << it << ' ';
// cout << endl;
if (l == r) {
bool flag = false;
for (auto it : c) {
if (op[l].l.chk(p[it])) {
// pv(it);
// p[it].print();
dat[it].print();
down(it, op[l].o);
flag = true;
break;
}
}
if (!flag) printf("0 0 0\n");
while (tot > cur) undo();
return;
}
int mid = (l + r) >> 1;
solve(l, mid, c);
solve(mid + 1, r, c);
// cout << "tot, cur = " << tot << ' ' << cur << endl;
while (tot > cur) undo();
}
#undef ls
#undef rs
int main() {
n = read(), tot = n;
rep(i, 1, n) p[i].init(), dat[i].init();
m = read(), B = sqrt(m);
rep(i, 1, m) op[i].l.init(), op[i].o.init(), op[i].id = i;
// rep(u, 1, n) {
// rep(i, 0, 2) rep(j, 0, 2) {
// cout << laz[u][i][j] << " \n"[j == 2];
// }
// }
for (int l = 1, r; l <= m; l = r + 1) {
r = min(l + B - 1, m);
// cout << "l, r = " << l << ' ' << r << endl;
vector <int> all;
rep(i, 1, n) all.pb(i);
solve(l, r, all);
// pv(tot);
// rep(i, 1, n) {
// pa(dat[i], 0, 2);
// }
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 15ms
memory: 62336kb
input:
5 1 1 2 3 4 12 12 4 6 1 1 12 5 1 2 12 1 1 5 5 6 6 2 0 3 3 1 1 4 1 1 2 3 4 5 2 3 4 1 1 400 1 3 4 2 1 2 3 4 5 -1 -1 -10 3 2 1 4 6 5 4 3 2
output:
2 3 4 25 50 40 92 58 139
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 4ms
memory: 62328kb
input:
8 -509 1134 869419079 764178960 818736647 -2836 296 965929020 482991943 829626659 1594 -1045 289612318 572608619 474362463 -2946 -165 85255903 285022572 770151631 -74 -131 732523347 283776652 211209006 -627 -604 539714672 763810142 817996815 -1187 -1219 734874008 764773559 261445054 -18 226 31476550...
output:
242481509 621755738 615459217 984440526 242571329 417013116 122667367 215125161 518083968 594780462 21825000 214574293
result:
ok 4 lines
Test #3:
score: 0
Accepted
time: 365ms
memory: 63472kb
input:
30000 676 -1234 836467424 502287177 140023561 -2003 -54 939673593 585085650 422504901 14185 -49892 469301115 424738168 942143157 -6019 4933 573698653 956514739 385606216 -1097 -1767 918532462 279450765 873950517 -2732 5210 428418604 607751438 2805137 -2791 1240 250817926 463999452 951276698 -3460 -5...
output:
538200103 176562537 786040129 282120049 585253989 126746038 442585365 946639191 152848161 309217862 352168103 288017696 798331649 483116583 428411187 396357116 876189623 301235280 832917758 314259493 851554086 129794051 40695662 730810045 922712284 511389451 59925242 580263289 336968685 459480891 17...
result:
ok 1000 lines
Test #4:
score: 0
Accepted
time: 367ms
memory: 63552kb
input:
30000 -861 514 579191255 606538526 388715812 -2743 143 33760465 13211059 128903675 105 -1848 31959805 331710130 184775255 19 -1110 445507093 115980536 539879344 -1041 41 507163898 642632299 488129195 1471 81 294281682 547102977 542058890 804 -843 987425295 849386341 831783549 -1793 -2178 444562260 3...
output:
545178258 677491591 34959177 426445915 979131304 126183119 215187507 759685069 499663658 200968299 790214661 15389717 839830981 763311704 525155406 857030222 464548447 842171760 658456271 313959441 663157301 771261247 935340775 339842291 94545060 716008509 891433021 347612571 574108893 940930350 363...
result:
ok 1000 lines
Test #5:
score: 0
Accepted
time: 358ms
memory: 63632kb
input:
30000 10549 19178 551387003 459346332 265437020 -4440 -801 346488842 634142290 954669423 -1758 964 418335341 620928953 575285343 -4434 4081 109829333 799485017 24011325 -4527 -24166 664063304 756571635 986936785 -2020 -826 968644308 698506784 869326786 -2700 -7894 94755543 255350611 433336916 -6626 ...
output:
93567974 334118538 550727969 788441432 886909715 475552713 526828502 419035304 422234431 226030179 753442982 68364174 453395418 329482885 434105443 15411089 926245366 274889354 829805395 617738666 67824539 591388868 172923133 108968027 491445793 193764448 630342293 185049502 34074677 601638041 68749...
result:
ok 1000 lines
Test #6:
score: -100
Wrong Answer
time: 355ms
memory: 63536kb
input:
30000 729570 -682315 124492027 232374133 480672372 -89810 -111355 986358898 821368981 395456251 167275 -156587 366703017 453206326 674212301 362570 -471220 637350218 819423356 510777066 -256566 369328 923342730 723162512 203219131 -85619 132807 403845003 932528656 550721085 58246 68727 988188769 670...
output:
86222621 965898342 75599864 966863496 495894576 805983560 926484270 42449633 14349918 793798633 230744561 756845148 908111016 448843887 500609701 330115060 151135063 143693436 893676402 694978505 786905727 800269245 577593884 416965258 568176228 652596859 543767928 436036434 319047969 814417350 1697...
result:
wrong answer 1st lines differ - expected: '177234170 706893826 321822432', found: '86222621 965898342 75599864'