提出 #8301236
ソースコード 拡げる
#include <bits/stdc++.h>
using namespace std;
#define range(i, m, n) for(int i = m; i < n; i++)
#define husk(i, m, n) for(int i = m; i > n; i--)
class segtree {
public:
struct node {
long long sum = 0;
int p = 0;
void apply(int l, int r, int v) {
assert(l == r);
if(v > 0) {
sum = v;
p = 1;
return;
}
sum = 0;
p = 0;
}
};
node unite(const node &a, const node &b) const {
node res;
res.sum = a.sum + b.sum;
res.p = a.p + b.p;
return res;
}
inline void push(int x, int l, int r) {
}
inline void pull(int x, int z) {
tree[x] = unite(tree[x + 1], tree[z]);
}
int n;
vector<node> tree;
void build(int x, int l, int r) {
if (l == r) {
return;
}
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
build(x + 1, l, y);
build(z, y + 1, r);
pull(x, z);
}
template <typename M, typename... T>
void build(int x, int l, int r, const vector<M> &v, const T&... t) {
if (l == r) {
tree[x].apply(l, r, v[l], t...);
return;
}
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
build(x + 1, l, y, v, t...);
build(z, y + 1, r, v, t...);
pull(x, z);
}
node get(int x, int l, int r, int ll, int rr) {
if (ll <= l && r <= rr) {
return tree[x];
}
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
push(x, l, r);
node res{};
if (rr <= y) {
res = get(x + 1, l, y, ll, rr);
} else {
if (ll > y) {
res = get(z, y + 1, r, ll, rr);
} else {
res = unite(get(x + 1, l, y, ll, rr), get(z, y + 1, r, ll, rr));
}
}
pull(x, z);
return res;
}
template <typename... M>
void modify(int x, int l, int r, int ll, int rr, const M&... v) {
if (ll <= l && r <= rr) {
tree[x].apply(l, r, v...);
return;
}
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
push(x, l, r);
if (ll <= y) {
modify(x + 1, l, y, ll, rr, v...);
}
if (rr > y) {
modify(z, y + 1, r, ll, rr, v...);
}
pull(x, z);
}
int find_first_knowingly(int x, int l, int r, const function<bool(const node&)> &f) {
if (l == r) {
return l;
}
push(x, l, r);
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
int res;
if (f(tree[x + 1])) {
res = find_first_knowingly(x + 1, l, y, f);
} else {
res = find_first_knowingly(z, y + 1, r, f);
}
pull(x, z);
return res;
}
int find_first(int x, int l, int r, int ll, int rr, const function<bool(const node&)> &f) {
if (ll <= l && r <= rr) {
if (!f(tree[x])) {
return -1;
}
return find_first_knowingly(x, l, r, f);
}
push(x, l, r);
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
int res = -1;
if (ll <= y) {
res = find_first(x + 1, l, y, ll, rr, f);
}
if (rr > y && res == -1) {
res = find_first(z, y + 1, r, ll, rr, f);
}
pull(x, z);
return res;
}
int find_last_knowingly(int x, int l, int r, const function<bool(const node&)> &f) {
if (l == r) {
return l;
}
push(x, l, r);
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
int res;
if (f(tree[z])) {
res = find_last_knowingly(z, y + 1, r, f);
} else {
res = find_last_knowingly(x + 1, l, y, f);
}
pull(x, z);
return res;
}
int find_last(int x, int l, int r, int ll, int rr, const function<bool(const node&)> &f) {
if (ll <= l && r <= rr) {
if (!f(tree[x])) {
return -1;
}
return find_last_knowingly(x, l, r, f);
}
push(x, l, r);
int y = (l + r) >> 1;
int z = x + ((y - l + 1) << 1);
int res = -1;
if (rr > y) {
res = find_last(z, y + 1, r, ll, rr, f);
}
if (ll <= y && res == -1) {
res = find_last(x + 1, l, y, ll, rr, f);
}
pull(x, z);
return res;
}
segtree(int _n) : n(_n) {
assert(n > 0);
tree.resize(2 * n - 1);
build(0, 0, n - 1);
}
template <typename M, typename... T>
segtree(const vector<M> &v, const T&... t) {
n = v.size();
assert(n > 0);
tree.resize(2 * n - 1);
build(0, 0, n - 1, v, t...);
}
node get(int ll, int rr) {
assert(0 <= ll && ll <= rr && rr <= n - 1);
return get(0, 0, n - 1, ll, rr);
}
node get(int p) {
assert(0 <= p && p <= n - 1);
return get(0, 0, n - 1, p, p);
}
template <typename... M>
void modify(int ll, int rr, const M&... v) {
assert(0 <= ll && ll <= rr && rr <= n - 1);
modify(0, 0, n - 1, ll, rr, v...);
}
int find_first(int ll, int rr, const function<bool(const node&)> &f) {
assert(0 <= ll && ll <= rr && rr <= n - 1);
return find_first(0, 0, n - 1, ll, rr, f);
}
int find_last(int ll, int rr, const function<bool(const node&)> &f) {
assert(0 <= ll && ll <= rr && rr <= n - 1);
return find_last(0, 0, n - 1, ll, rr, f);
}
};
int n;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n;
vector<int> a(n);
vector<int> b(n);
range(i, 0, n) {
cin >> a[i] >> b[i];
}
long long cur = 0;
long long sum = 0;
vector<int> id;
vector<int> pr;
range(i, 0, n) {
if(b[i] >= a[i]) {
cur += b[i] - a[i];
pr.push_back(b[i]);
} else id.push_back(i);
}
if(cur == 0) {
cout << "0 1\n";
return 0;
}
sort(pr.begin(), pr.end());
int pos = 0;
while(sum + pr[pos] <= cur) {
sum += pr[pos];
pos++;
}
long long u = 1LL * pos * pr[pos] + cur - sum;
long long v = pr[pos];
if(id.empty()) {
v *= n;
long long g = __gcd(u, v);
cout << u / g << " " << v / g;
return 0;
}
sort(id.begin(), id.end(), [&](int x, int y){return a[x] < a[y];});
vector<int> _a, _b;
map<int, vector<int>> pb;
range(i, 0, (int) id.size()) {
_a.push_back(a[id[i]]);
_b.push_back(b[id[i]]);
if(b[id[i]] < pr[pos]) pb[b[id[i]]].push_back(i);
}
vector<long long> pref(pr.size());
range(i, 0, (int) pr.size()) {
pref[i] = pr[i];
if(i > 0) pref[i] += pref[i - 1];
}
segtree sa(_a);
segtree sb(_b);
while(!pb.empty()) {
auto it = prev(pb.end());
int x = it->first;
int y = it->second.front();
sa.modify(y, y, 0);
sb.modify(y, y, 0);
long long c = cur + x - _a[y];
int p = lower_bound(pr.begin(), pr.end(), x) - pr.begin();
long long csum = c - (p > 0 ? pref[p - 1] : 0);
if(csum <= 0) {
for(int i : it->second) {
sa.modify(i, i, 0);
sb.modify(i, i, 0);
}
pb.erase(it);
continue;
}
long long ss = 0;
int sz = sa.find_first(0, id.size() - 1, [&](const segtree::node z){
if(z.sum + ss >= csum) return true;
ss += z.sum;
return false;
});
if(sz == -1) sz = id.size() - 1;
else sz--;
segtree::node s;
segtree::node d;
if(sz >= 0) {
s = sa.get(0, sz);
d = sb.get(0, sz);
}
long long zsum = (p > 0 ? pref[p - 1] : 0LL) + d.sum;
c += d.sum - s.sum;
assert(zsum < c);
long long su, sv;
if(zsum + x > c) {
su = 1LL * (p + s.p) * x + c - zsum;
sv = x;
} else {
int ap = upper_bound(pref.begin(), pref.end(), c - d.sum - x) - pref.begin();
assert(ap >= p);
su = 1LL * (ap + s.p + 1) * pr[ap] + c - d.sum - x - (ap > 0 ? pref[ap - 1] : 0);
sv = pr[ap];
}
if(su / sv > u / v || (su / sv == u / v && (su % sv) * v > (u % v) * sv)) {
u = su;
v = sv;
}
for(int i : it->second) {
sa.modify(i, i, 0);
sb.modify(i, i, 0);
}
pb.erase(it);
}
v *= n;
long long g = __gcd(u, v);
u /= g; v /= g;
cout << u << " " << v;
return 0;
}
提出情報
ジャッジ結果
| セット名 |
Sample |
All |
| 得点 / 配点 |
0 / 0 |
0 / 1100 |
| 結果 |
|
|
| セット名 |
テストケース |
| Sample |
00-sample-01.txt, 00-sample-02.txt, 00-sample-03.txt, 00-sample-04.txt |
| All |
00-sample-01.txt, 00-sample-02.txt, 00-sample-03.txt, 00-sample-04.txt, 01-01.txt, 01-02.txt, 01-03.txt, 01-04.txt, 01-05.txt, 01-06.txt, 01-07.txt, 01-08.txt, 01-09.txt, 01-10.txt, 01-11.txt, 01-12.txt, 01-13.txt, 01-14.txt, 01-15.txt, 01-16.txt, 01-17.txt, 01-18.txt, 01-19.txt, 01-20.txt, 01-21.txt, 01-22.txt, 01-23.txt, 01-24.txt, 01-25.txt, 01-26.txt, 01-27.txt, 01-28.txt, 01-29.txt, 01-30.txt, 01-31.txt, 01-32.txt, 01-33.txt, 01-34.txt, 01-35.txt, 01-36.txt, 01-37.txt, 01-38.txt, 01-39.txt, 01-40.txt |
| ケース名 |
結果 |
実行時間 |
メモリ |
| 00-sample-01.txt |
AC |
1 ms |
256 KiB |
| 00-sample-02.txt |
AC |
1 ms |
256 KiB |
| 00-sample-03.txt |
AC |
1 ms |
256 KiB |
| 00-sample-04.txt |
AC |
1 ms |
256 KiB |
| 01-01.txt |
AC |
1 ms |
256 KiB |
| 01-02.txt |
WA |
44 ms |
5248 KiB |
| 01-03.txt |
WA |
81 ms |
9180 KiB |
| 01-04.txt |
WA |
40 ms |
4864 KiB |
| 01-05.txt |
WA |
59 ms |
6784 KiB |
| 01-06.txt |
WA |
38 ms |
4608 KiB |
| 01-07.txt |
WA |
17 ms |
2304 KiB |
| 01-08.txt |
WA |
26 ms |
3200 KiB |
| 01-09.txt |
WA |
94 ms |
10492 KiB |
| 01-10.txt |
AC |
17 ms |
2796 KiB |
| 01-11.txt |
AC |
30 ms |
4692 KiB |
| 01-12.txt |
AC |
57 ms |
8744 KiB |
| 01-13.txt |
AC |
57 ms |
9012 KiB |
| 01-14.txt |
AC |
30 ms |
4824 KiB |
| 01-15.txt |
AC |
11 ms |
2036 KiB |
| 01-16.txt |
AC |
57 ms |
8620 KiB |
| 01-17.txt |
AC |
10 ms |
1664 KiB |
| 01-18.txt |
AC |
23 ms |
3684 KiB |
| 01-19.txt |
AC |
6 ms |
640 KiB |
| 01-20.txt |
WA |
96 ms |
10620 KiB |
| 01-21.txt |
WA |
95 ms |
10564 KiB |
| 01-22.txt |
WA |
95 ms |
10576 KiB |
| 01-23.txt |
WA |
98 ms |
10620 KiB |
| 01-24.txt |
WA |
96 ms |
10596 KiB |
| 01-25.txt |
WA |
95 ms |
10576 KiB |
| 01-26.txt |
WA |
95 ms |
10576 KiB |
| 01-27.txt |
WA |
95 ms |
10572 KiB |
| 01-28.txt |
AC |
58 ms |
9000 KiB |
| 01-29.txt |
AC |
59 ms |
9004 KiB |
| 01-30.txt |
AC |
59 ms |
9016 KiB |
| 01-31.txt |
AC |
58 ms |
9124 KiB |
| 01-32.txt |
AC |
58 ms |
9132 KiB |
| 01-33.txt |
AC |
58 ms |
9008 KiB |
| 01-34.txt |
AC |
59 ms |
9008 KiB |
| 01-35.txt |
AC |
59 ms |
9128 KiB |
| 01-36.txt |
AC |
59 ms |
9008 KiB |
| 01-37.txt |
AC |
22 ms |
1660 KiB |
| 01-38.txt |
AC |
86 ms |
10692 KiB |
| 01-39.txt |
AC |
103 ms |
12880 KiB |
| 01-40.txt |
AC |
127 ms |
14840 KiB |