//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#include <bits/stdc++.h>
using namespace std;
template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define F0R1(i, a) for (int i=1; i<=(a); i++)
#define FORd(i, a, b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i, a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)
#define MIN(a, b) a = min(a, b)
#define MAX(a, b) a = max(a, b)
#define INF 1000000010
#define LL_INF 4500000000000000000LL
#define LSOne(S) (S & (-S))
#define EPS 1e-9
#define pA first
#define pB second
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define PI acos(-1.0)
// #define MOD (int)(2e+9+11)
#define MOD (int)(1e+9+7)
#define SET(vec, val, size) for (int i = 0; i < size; i++) vec[i] = val;
#define SET2D(arr, val, dim1, dim2) F0R(i, dim1) F0R(j, dim2) arr[i][j] = val;
#define SET3D(arr, val, dim1, dim2, dim3) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) arr[i][j][k] = val;
#define SET4D(arr, val, dim1, dim2, dim3, dim4) F0R(i, dim1) F0R(j, dim2) F0R(k, dim3) F0R(l, dim4) arr[i][j][k][l] = val;
#define lb lower_bound
#define ub upper_bound
#define sz(x) (int)x.size()
#define beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize
#define SORT(vec) sort(all(vec))
#define RSORT(vec) sort(vec.rbegin(),vec.rend())
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vl;
// @formatter:off
// Source: Benq (https://github.com/bqi343/USACO) [Modified]
namespace input {
template<class T> void re(complex<T>& x);
template<class T1, class T2> void re(pair<T1,T2>& p);
template<class T> void re(vector<T>& a);
template<class T, size_t SZ> void re(array<T,SZ>& a);
template<class T> void reA(T A[], int sz);
template<class T> void re(T& x) { cin >> x; }
void re(double& x) { string t; re(t); x = stod(t); }
void re(ld& x) { string t; re(t); x = stold(t); }
template<class Arg, class... Args> void re(Arg& first, Args&... rest) {
re(first); re(rest...);
}
template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.pA,p.pB); }
template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
template<class T> void reA(T A[], int sz) { F0R(i, sz) re(A[i]); }
void setupIO(const string &PROB = "") {
ios::sync_with_stdio(false);
cin.tie(nullptr);
if (PROB.length() != 0) {
ifstream infile(PROB + ".in");
if (infile.good()) {
freopen((PROB + ".in").c_str(), "r", stdin);
freopen((PROB + ".out").c_str(), "w", stdout);
}
}
}
}
using namespace input;
namespace output {
template<class T1, class T2> void prD(const pair<T1,T2>& x);
template<class T, size_t SZ> void prD(const array<T,SZ>& x);
template<class T> void prD(const vector<T>& x);
template<class T> void prD(const set<T>& x);
template<class T1, class T2> void prD(const map<T1,T2>& x);
template<class T1, class T2> void pr(const pair<T1,T2>& x);
template<class T, size_t SZ> void pr(const array<T,SZ>& x);
template<class T> void pr(const vector<T>& x);
template<class T> void pr(const set<T>& x);
template<class T1, class T2> void pr(const map<T1,T2>& x);
template<class T> void prD(const T& x) { cout << x; cout.flush(); }
template<class Arg, class... Args> void prD(const Arg& first, const Args&... rest) {
prD(first); prD(rest...);
}
template<class T1, class T2> void prD(const pair<T1,T2>& x) {
prD("{",x.pA,", ",x.pB,"}");
}
template<class T> void prDContain(const T& x) {
prD("{");
bool fst = 1; for (const auto& a: x) prD(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
prD("}");
}
template<class T, size_t SZ> void prD(const array<T,SZ>& x) { prDContain(x); }
template<class T> void prD(const vector<T>& x) { prDContain(x); }
template<class T> void prD(const set<T>& x) { prDContain(x); }
template<class T1, class T2> void prD(const map<T1,T2>& x) { prDContain(x); }
void psD() { prD("\n"); }
template<class Arg> void psD(const Arg& first) {
prD(first); psD(); // no space at end of line
}
template<class Arg, class... Args> void psD(const Arg& first, const Args&... rest) {
prD(first," "); psD(rest...); // print w/ spaces
}
template<class T> void pr(const T& x) { cout << x; }
template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) {
pr(first); pr(rest...);
}
template<class T1, class T2> void pr(const pair<T1,T2>& x) {
pr(x.pA, " ", x.pB);
}
template<class T> void prContain(const T& x) {
bool fst = 1; for (const auto& a: x) pr(!fst?" ":"",a), fst = 0; // const needed for vector<bool>
}
template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
template<class T> void pr(const vector<T>& x) { prContain(x); }
template<class T> void pr(const set<T>& x) { prContain(x); }
template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
void ps() { pr("\n"); }
template<class Arg> void ps(const Arg& first) {
pr(first); ps(); // no space at end of line
}
template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) {
pr(first," "); ps(rest...); // print w/ spaces
}
}
using namespace output;
// @formatter:on
/* ============================ */
struct point { ld x, y; // only used if more precision is needed
point() { x = y = 0.0; } // default constructor
point(ld _x, ld _y) : x(_x), y(_y) {} // user-defined
bool operator == (point other) const {
return (fabs(x-other.x) < EPS && (fabs(y-other.y) < EPS)); }
bool operator <(const point &p) const {
return x < p.x || (abs(x-p.x) < EPS && y < p.y); } };
struct vec { ld x, y; // name: `vec' is different from STL vector
vec(ld _x, ld _y) : x(_x), y(_y) {} };
vec toVec(point a, point b) { // convert 2 points to vector a->b
return vec(b.x-a.x, b.y-a.y); }
ld cross(vec a, vec b) { return a.x*b.y - a.y*b.x; }
// note: to accept collinear points, we have to change the `> 0'
// returns true if point r is on the left side of line pq
bool ccw(point p, point q, point r) {
return cross(toVec(p, q), toVec(p, r)) > 0; }
class FenwickTree {
private:
vi ft;
public:
FenwickTree() {}
FenwickTree(int n) { ft.assign(n + 1, 0); }
int rsq(int b) {
int sum = 0; for (; b; b -= LSOne(b)) sum += ft[b];
return sum; }
int rsq(int a, int b) {
return rsq(b) - (a == 1 ? 0 : rsq(a - 1)); }
void adjust(int k, int v) {
for (; k < (int)ft.size(); k += LSOne(k)) ft[k] += v; }
};
int n, m;
pair<point, int> A[30000];
pair<point, pair<int, int>> A2[30000];
pair<point, ii> B2[30000];
int bSweepIdx[30000];
int ct[30000];
int qryAns[100000];
point a, b;
vi dragonsByTribe[30000];
FenwickTree below(30000), above(30000);
FenwickTree below2(30000), above2(30000);
// returns true if x < y in angle sweep about point a
bool cmp(point x, point y, point a, point b) {
bool isBelowX = ccw(b, a, x), isBelowY = ccw(b, a, y);
if (isBelowX == isBelowY) {
return ccw(a, x, y);
} else if (isBelowX && !isBelowY) {
return !ccw(x, y, a);
} else {
return ccw(y, x, a);
}
}
int main() {
setupIO();
re(n, m); SET(ct, 0, m);
F0R(i, n) {
int a, b, c; re(a, b, c);
A2[i] = B2[i] = {point(a, b), {c-1, i}};
ct[c-1]++;
}
re(a.x, a.y, b.x, b.y);
sort(A2, A2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
return cmp(x.pA, y.pA, a, b);
});
F0R(i, n) {
A[i] = {A2[i].pA, A2[i].pB.pA};
}
F0R(i, n) {
dragonsByTribe[A[i].pB].pb(i);
}
sort(B2, B2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
return cmp(x.pA, y.pA, b, a);
});
int mappedAIdx[n];
F0R(i, n) mappedAIdx[A2[i].pB.pB] = i;
F0R(i, n) bSweepIdx[mappedAIdx[B2[i].pB.pB]] = i;
int q; re(q); int SQRT = sqrt(q);
vii queries[m];
vi queryAns[m];
vii queries2[m];
vi queryAns2[m];
int queryCt[m]; SET(queryCt, 0, m);
vii rawQueries;
F0R(i, q) {
int a, b; re(a, b); --a; --b;
rawQueries.pb({a, b});
queryCt[a]++;
}
F0R(i, sz(rawQueries)) {
int a = rawQueries[i].pA, b = rawQueries[i].pB;
if (queryCt[a] <= SQRT) {
queries[a].pb({b,i});
queryAns[a].pb(0);
} else {
queries2[b].pb({a,i});
queryAns2[b].pb(0);
}
}
sort(B2, B2+n, [](const pair<point, ii> &x, const pair<point, ii> &y) {
if (x.pB.pA == y.pB.pA) return cmp(x.pA, y.pA, b, a);
return x.pB.pA < y.pB.pA;
});
vii tribe_sweepIdx[m];
int bSweepIdx2[n];
F0R(i, n) {
bSweepIdx2[mappedAIdx[B2[i].pB.pB]] = i;
tribe_sweepIdx[B2[i].pB.pA].eb(bSweepIdx[mappedAIdx[B2[i].pB.pB]], i);
}
F0R(i, m) sort(all(tribe_sweepIdx[i]));
// FIRST SWEEP //
F0R(i, n) {
if (ccw(b, a, A[i].pA)) {
below.adjust(bSweepIdx2[i]+1, 1);
}
}
F0R(x, n) {
F0R(i, sz(queries[A[x].pB])) {
int t2 = queries[A[x].pB][i].pA;
if (sz(tribe_sweepIdx[t2]) != 0) {
ii lo = *lb(all(tribe_sweepIdx[t2]), mp(-1, -1));
ii mx = *tribe_sweepIdx[t2].rbegin();
ii hi;
auto it = lb(all(tribe_sweepIdx[t2]), mp(bSweepIdx[x], -1));
if (it != tribe_sweepIdx[t2].end()) hi = *it;
else {
hi = {0, mx.pB + 1};
}
queryAns[A[x].pB][i] += below.rsq(lo.pB + 1, hi.pB);
queryAns[A[x].pB][i] += above.rsq(hi.pB + 1, mx.pB + 1);
}
}
if (ccw(b, a, A[x].pA)) {
below.adjust(bSweepIdx2[x]+1, -1);
} else {
above.adjust(bSweepIdx2[x]+1, 1);
}
}
F0R(i, m) {
F0R(j, sz(queries[i])) {
qryAns[queries[i][j].pB] = queryAns[i][j];
}
}
// END FIRST SWEEP //
// SECOND SWEEP //
F0R(i, n) {
below2.adjust(bSweepIdx2[i]+1, 1);
}
F0R(x, n) {
F0R(i, sz(queries2[A[x].pB])) {
int t2 = queries2[A[x].pB][i].pA;
if (sz(tribe_sweepIdx[t2]) != 0) {
ii lo = *lb(all(tribe_sweepIdx[t2]), mp(-1, -1));
ii mx = *tribe_sweepIdx[t2].rbegin();
ii hi;
auto it = lb(all(tribe_sweepIdx[t2]), mp(bSweepIdx[x], -1));
if (it != tribe_sweepIdx[t2].end()) hi = *it;
else {
hi = {0, mx.pB + 1};
}
if (!ccw(b, a, A[x].pA)) queryAns2[A[x].pB][i] += below2.rsq(lo.pB + 1, hi.pB);
if (ccw(b, a, A[x].pA)) queryAns2[A[x].pB][i] += above2.rsq(hi.pB + 1, mx.pB + 1);
}
}
below2.adjust(bSweepIdx2[x]+1, -1);
above2.adjust(bSweepIdx2[x] + 1, 1);
}
F0R(i, m) {
F0R(j, sz(queries2[i])) {
qryAns[queries2[i][j].pB] = queryAns2[i][j];
}
}
// END SECOND SWEEP
F0R(i, q) ps(qryAns[i]);
return 0;
}
Compilation message
dragon2.cpp: In function 'void input::setupIO(const string&)':
dragon2.cpp:85:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen((PROB + ".in").c_str(), "r", stdin);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
dragon2.cpp:86:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen((PROB + ".out").c_str(), "w", stdout);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
13 ms |
5880 KB |
Output is correct |
| 2 |
Correct |
15 ms |
5880 KB |
Output is correct |
| 3 |
Correct |
28 ms |
6136 KB |
Output is correct |
| 4 |
Correct |
70 ms |
9836 KB |
Output is correct |
| 5 |
Correct |
58 ms |
10656 KB |
Output is correct |
| 6 |
Correct |
13 ms |
6520 KB |
Output is correct |
| 7 |
Correct |
13 ms |
6520 KB |
Output is correct |
| 8 |
Correct |
12 ms |
5880 KB |
Output is correct |
| 9 |
Correct |
12 ms |
5880 KB |
Output is correct |
| 10 |
Correct |
11 ms |
5880 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
79 ms |
7320 KB |
Output is correct |
| 2 |
Correct |
100 ms |
7152 KB |
Output is correct |
| 3 |
Correct |
84 ms |
7464 KB |
Output is correct |
| 4 |
Correct |
77 ms |
7416 KB |
Output is correct |
| 5 |
Correct |
78 ms |
11748 KB |
Output is correct |
| 6 |
Correct |
78 ms |
7288 KB |
Output is correct |
| 7 |
Correct |
71 ms |
7412 KB |
Output is correct |
| 8 |
Correct |
73 ms |
7032 KB |
Output is correct |
| 9 |
Correct |
72 ms |
7160 KB |
Output is correct |
| 10 |
Correct |
64 ms |
7160 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
13 ms |
5880 KB |
Output is correct |
| 2 |
Correct |
15 ms |
5880 KB |
Output is correct |
| 3 |
Correct |
28 ms |
6136 KB |
Output is correct |
| 4 |
Correct |
70 ms |
9836 KB |
Output is correct |
| 5 |
Correct |
58 ms |
10656 KB |
Output is correct |
| 6 |
Correct |
13 ms |
6520 KB |
Output is correct |
| 7 |
Correct |
13 ms |
6520 KB |
Output is correct |
| 8 |
Correct |
12 ms |
5880 KB |
Output is correct |
| 9 |
Correct |
12 ms |
5880 KB |
Output is correct |
| 10 |
Correct |
11 ms |
5880 KB |
Output is correct |
| 11 |
Correct |
79 ms |
7320 KB |
Output is correct |
| 12 |
Correct |
100 ms |
7152 KB |
Output is correct |
| 13 |
Correct |
84 ms |
7464 KB |
Output is correct |
| 14 |
Correct |
77 ms |
7416 KB |
Output is correct |
| 15 |
Correct |
78 ms |
11748 KB |
Output is correct |
| 16 |
Correct |
78 ms |
7288 KB |
Output is correct |
| 17 |
Correct |
71 ms |
7412 KB |
Output is correct |
| 18 |
Correct |
73 ms |
7032 KB |
Output is correct |
| 19 |
Correct |
72 ms |
7160 KB |
Output is correct |
| 20 |
Correct |
64 ms |
7160 KB |
Output is correct |
| 21 |
Correct |
79 ms |
7260 KB |
Output is correct |
| 22 |
Correct |
99 ms |
6572 KB |
Output is correct |
| 23 |
Correct |
288 ms |
7664 KB |
Output is correct |
| 24 |
Correct |
499 ms |
11552 KB |
Output is correct |
| 25 |
Correct |
156 ms |
13204 KB |
Output is correct |
| 26 |
Correct |
148 ms |
16876 KB |
Output is correct |
| 27 |
Correct |
81 ms |
13944 KB |
Output is correct |
| 28 |
Correct |
82 ms |
13816 KB |
Output is correct |
| 29 |
Correct |
158 ms |
17384 KB |
Output is correct |
| 30 |
Correct |
233 ms |
16208 KB |
Output is correct |
| 31 |
Correct |
147 ms |
16640 KB |
Output is correct |
| 32 |
Correct |
156 ms |
17668 KB |
Output is correct |
| 33 |
Correct |
467 ms |
16320 KB |
Output is correct |
| 34 |
Correct |
143 ms |
16792 KB |
Output is correct |
| 35 |
Correct |
149 ms |
17912 KB |
Output is correct |
| 36 |
Correct |
134 ms |
16600 KB |
Output is correct |
| 37 |
Correct |
146 ms |
17000 KB |
Output is correct |
| 38 |
Correct |
294 ms |
17356 KB |
Output is correct |
| 39 |
Correct |
529 ms |
16748 KB |
Output is correct |
| 40 |
Correct |
472 ms |
16448 KB |
Output is correct |
| 41 |
Correct |
165 ms |
17372 KB |
Output is correct |
| 42 |
Correct |
162 ms |
17252 KB |
Output is correct |
| 43 |
Correct |
172 ms |
17340 KB |
Output is correct |
| 44 |
Correct |
90 ms |
10744 KB |
Output is correct |
| 45 |
Correct |
90 ms |
10840 KB |
Output is correct |
| 46 |
Correct |
90 ms |
10744 KB |
Output is correct |
| 47 |
Correct |
90 ms |
10972 KB |
Output is correct |
| 48 |
Correct |
95 ms |
10744 KB |
Output is correct |
| 49 |
Correct |
90 ms |
11000 KB |
Output is correct |
