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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#85241 | #4817. Half Plane | Scintilla | RE | 205ms | 63800kb | C++14 | 9.8kb | 2023-03-07 12:57:14 | 2023-03-07 12:57:15 |
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 * b.p * a.q;
}
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);
// px[i].first.print();
// 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(n);
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: 8ms
memory: 62404kb
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: 18ms
memory: 62432kb
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: 205ms
memory: 63800kb
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: -100
Dangerous Syscalls
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...