// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define MP make_pair
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define MT make_tuple
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
#define INF 1000000005
#define LINF 1000000000000000005ll
#define MAXN 1000005
int n, h;
int x[MAXN], y[MAXN];
bool used[MAXN];
int ans;
struct frac {
ll a, b;
frac(): a(0), b(1) {}
frac(ll _a): a(_a), b(1) {}
frac(ll _a, ll _b): a(_a), b(_b) {
if (b == 0) {
a = LINF;
b = 1;
return;
}
ll g = __gcd(abs(a), abs(b));
a /= g;
b /= g;
if (b < 0) {
a *= -1;
b *= -1;
}
}
frac operator+(const frac &o) const {
return frac(a * o.b + b * o.a, b * o.b);
}
frac operator-(const frac &o) const {
return *this + (-o);
}
frac operator-() const {
return frac(-a, b);
}
bool operator<(const frac &o) const {
assert(b > 0 && o.b > 0);
return a * o.b < b * o.a;
}
bool operator>(const frac &o) const {
assert(b > 0 && o.b > 0);
return a * o.b > b * o.a;
}
bool operator==(const frac &o) const {
return a == o.a && b == o.b;
}
bool operator<=(const frac &o) const {
return *this == o || *this < o;
}
friend ostream& operator<<(ostream &os, const frac &o) {
return os << o.a << '/' << o.b;
}
};
struct Range {
frac l, r;
bool operator<(const Range &o) const {
return r < o.r;
}
};
vector<Range> ranges;
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n >> h;
REP (i, 0, n) {
cin >> x[i] >> y[i];
}
for (int i = 2; i < n - 1; i += 2) {
frac l = frac(x[i]) - frac((ll) (x[i] - x[i - 1]) * (h - y[i]), y[i - 1] - y[i]);
frac r = frac(x[i]) + frac((ll) (x[i + 1] - x[i]) * (h - y[i]), y[i + 1] - y[i]);
if (n < 2000) {
for (int j = i - 3; j >= 1; j -= 2) {
if (y[j] - y[i] <= 0) continue;
mxto(l, frac(x[i]) - frac((ll) (x[i] - x[j]) * (h - y[i]), y[j] - y[i]));
}
for (int j = i + 3; j < n - 1; j += 2) {
if (y[j] - y[i] <= 0) continue;
mnto(r, frac(x[i]) + frac((ll) (x[j] - x[i]) * (h - y[i]), y[j] - y[i]));
}
}
cerr << i << ": " << l << ' ' << r << '\n';
ranges.pb((Range) {l, r});
}
sort(ALL(ranges));
REP (i, 0, ranges.size()) {
if (used[i]) continue;
frac x = ranges[i].r;
ans++;
REP (j, i, ranges.size()) {
if (ranges[j].l <= x && x <= ranges[j].r) {
used[j] = 1;
} else {
break;
}
}
}
cout << ans << '\n';
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:13:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Range>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
13 | #define REP(i, s, e) for (int i = s; i < e; i++)
......
123 | REP (i, 0, ranges.size()) {
| ~~~~~~~~~~~~~~~~~~~
Main.cpp:123:5: note: in expansion of macro 'REP'
123 | REP (i, 0, ranges.size()) {
| ^~~
Main.cpp:13:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Range>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
13 | #define REP(i, s, e) for (int i = s; i < e; i++)
......
127 | REP (j, i, ranges.size()) {
| ~~~~~~~~~~~~~~~~~~~
Main.cpp:127:9: note: in expansion of macro 'REP'
127 | REP (j, i, ranges.size()) {
| ^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
724 KB |
Output is correct |
| 2 |
Correct |
4 ms |
724 KB |
Output is correct |
| 3 |
Correct |
4 ms |
724 KB |
Output is correct |
| 4 |
Correct |
24 ms |
3272 KB |
Output is correct |
| 5 |
Correct |
32 ms |
3292 KB |
Output is correct |
| 6 |
Correct |
39 ms |
3288 KB |
Output is correct |
| 7 |
Correct |
253 ms |
24784 KB |
Output is correct |
| 8 |
Correct |
314 ms |
24784 KB |
Output is correct |
| 9 |
Correct |
407 ms |
24764 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
98 ms |
368 KB |
Output is correct |
| 2 |
Correct |
97 ms |
404 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
81 ms |
384 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
214 ms |
484 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
724 KB |
Output is correct |
| 2 |
Correct |
4 ms |
724 KB |
Output is correct |
| 3 |
Correct |
4 ms |
724 KB |
Output is correct |
| 4 |
Correct |
24 ms |
3272 KB |
Output is correct |
| 5 |
Correct |
32 ms |
3292 KB |
Output is correct |
| 6 |
Correct |
39 ms |
3288 KB |
Output is correct |
| 7 |
Correct |
253 ms |
24784 KB |
Output is correct |
| 8 |
Correct |
314 ms |
24784 KB |
Output is correct |
| 9 |
Correct |
407 ms |
24764 KB |
Output is correct |
| 10 |
Correct |
98 ms |
368 KB |
Output is correct |
| 11 |
Correct |
97 ms |
404 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
81 ms |
384 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
214 ms |
484 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
299 ms |
24600 KB |
Output is correct |
| 18 |
Incorrect |
270 ms |
24696 KB |
Output isn't correct |
| 19 |
Halted |
0 ms |
0 KB |
- |
