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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#702830 | #9540. Double 11 | ucup-team055# | WA | 1ms | 3860kb | C++23 | 9.6kb | 2024-11-02 16:38:58 | 2024-11-02 16:39:01 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tuplis = array<ll, 3>;
template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;
const ll LINF=0x1fffffffffffffff;
const ll MINF=0x7fffffffffff;
const int INF=0x3fffffff;
const int MOD=1000000007;
const int MODD=998244353;
const ld DINF=INFINITY;
const ld EPS=1e-9;
const ld PI=3.14159265358979323846;
const ll dx[] = {0, 1, 0, -1, 1, -1, 1, -1};
const ll dy[] = {1, 0, -1, 0, 1, 1, -1, -1};
#define overload5(a,b,c,d,e,name,...) name
#define overload4(a,b,c,d,name,...) name
#define overload3(a,b,c,name,...) name
#define rep1(n) rep2(_,n)
#define rep2(i,n) for(ll i=0;i<n;++i)
#define rep3(i,a,b) for(ll i=a;i<b;++i)
#define rep4(i,a,b,c) for(ll i=a;i<b;i+=c)
#define rep(...) overload4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i=n;i--;)
#define rrep2(i,n) for(ll i=n;i--;)
#define rrep3(i,a,b) for(ll i=b;i-->(a);)
#define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c)
#define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define each1(i,a) for(auto&&i:a)
#define each2(x,y,a) for(auto&&[x,y]:a)
#define each3(x,y,z,a) for(auto&&[x,y,z]:a)
#define each4(w,x,y,z,a) for(auto&&[w,x,y,z]:a)
#define each(...) overload5(__VA_ARGS__,each4,each3,each2,each1)(__VA_ARGS__)
#define all1(i) begin(i),end(i)
#define all2(i,a) begin(i),begin(i)+a
#define all3(i,a,b) begin(i)+a,begin(i)+b
#define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__)
#define rall1(i) rbegin(i),rend(i)
#define rall2(i,a) rbegin(i),rbegin(i)+a
#define rall3(i,a,b) rbegin(i)+a,rbegin(i)+b
#define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__)
#define sum(...) accumulate(all(__VA_ARGS__),0LL)
#define dsum(...) accumulate(all(__VA_ARGS__),0.0L)
#define Msum(...) accumulate(all(__VA_ARGS__),mint{})
#define elif else if
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector name(h,vector(w,vector<type>(__VA_ARGS__)))
template<class T> ll sz(const T& a){ return size(a); }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class T, class U> ll count(const T& a, const U& b){ return count(all(a), b); }
template<class T, class F> ll count_if(const T& a, F b){ return count_if(all(a), b); }
template<class T, class F> void filter(T& a, F b){ a.erase(remove_if(all(a), not_fn(b)), a.end()); }
template<class T, class F = less<>> void sor(T& a, F b = F{}){ sort(all(a), b); }
template<class T> void rev(T& a){ reverse(all(a)); }
template<class T> void uniq(T& a){ sor(a); a.erase(unique(all(a)), end(a)); }
ll popcnt(ull a){ return __builtin_popcountll(a); }
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
template<class T> T div_floor(T a, T b) { return a / b - ((a ^ b) < 0 && a % b); }
template<class T> T div_ceil(T a, T b) { return a / b + ((a ^ b) > 0 && a % b); }
template<class T> bool chmin(T& a, const T& b){ return a > b ? a = b, 1 : 0; }
template<class T> bool chmax(T& a, const T& b){ return a < b ? a = b, 1 : 0; }
template<class T, class U> bool chmin(T& a, const U& b){ return a > b ? a = b, 1 : 0; }
template<class T, class U> bool chmax(T& a, const U& b){ return a < b ? a = b, 1 : 0; }
vector<ll> iota(ll n, ll begin = 0){ vector<ll> a(n); iota(a.begin(), a.end(), begin); return a; }
vector<pll> factor(ull x){ vector<pll> ans; for(ull i = 2; i * i <= x; i++) if(x % i == 0){ ans.push_back({i, 1}); while((x /= i) % i == 0) ans.back().second++; } if(x != 1) ans.push_back({x, 1}); return ans; }
vector<ll> divisor(ull x){ vector<ll> ans; for(ull i = 1; i * i <= x; i++) if(x % i == 0) ans.push_back(i); rrep(ans.size() - (ans.back() * ans.back() == x)) ans.push_back(x / ans[i]); return ans; }
template<class T> unordered_map<T, ll> press(vector<T> a){ uniq(a); unordered_map<T, ll> ans; rep(i, a.size()) ans[a[i]] = i; return ans; }
template<class T> auto run_press(const T& a){ vector<pair<decay_t<decltype(a[0])>, ll>> ans; each(x, a){ if(ans.empty() || ans.back().first != x) ans.emplace_back(x, 1); else ans.back().second++; } return ans; }
template<class... Ts> void in(Ts&... t);
[[maybe_unused]] void print(){}
template<class T, class... Ts> void print(const T& t, const Ts&... ts);
template<class... Ts> void out(const Ts&... ts){ print(ts...); cout << '\n'; }
namespace IO{
#define VOID(a) decltype(void(a))
struct S{ S(){ cin.tie(nullptr)->sync_with_stdio(0); fixed(cout).precision(12); } }S;
template<int I> struct P : P<I-1>{};
template<> struct P<0>{};
template<class T> void i(T& t){ i(t, P<3>{}); }
void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }
template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }
template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }
template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){ in(get<idx>(t)...); }
template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ ituple(t, make_index_sequence<tuple_size<T>::value>{}); }
template<class T> void o(const T& t){ o(t, P<4>{}); }
template<size_t N> void o(const char (&t)[N], P<4>){ cout << t; }
template<class T, size_t N> void o(const T (&t)[N], P<3>){ o(t[0]); for(size_t i = 1; i < N; i++){ o(' '); o(t[i]); } }
template<class T> auto o(const T& t, P<2>) -> VOID(cout << t){ cout << t; }
template<class T> auto o(const T& t, P<1>) -> VOID(begin(t)){ bool first = 1; for(auto&& x : t) { if(first) first = 0; else o(' '); o(x); } }
template<class T, size_t... idx> void otuple(const T& t, index_sequence<idx...>){ print(get<idx>(t)...); }
template<class T> auto o(T& t, P<0>) -> VOID(tuple_size<T>{}){ otuple(t, make_index_sequence<tuple_size<T>::value>{}); }
#undef VOID
}
#define unpack(a) (void)(0 + ... + (a, 0))
template<class... Ts> void in(Ts&... t){ unpack(IO::i(t)); }
template<class T, class... Ts> void print(const T& t, const Ts&... ts){ IO::o(t); unpack(IO::o((cout << ' ', ts))); }
#undef unpack
#ifdef DEBUG
ll __lg(ull x){ return 63 - __builtin_clzll(x); }
#define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...) void(0)
#endif
#define YESNO(yes,no) void yes(bool i = 1){ out(i?#yes:#no); } void no(){ out(#no); }
YESNO(first, second)
YESNO(First, Second)
YESNO(Yes, No)
YESNO(YES, NO)
YESNO(possible, impossible)
YESNO(Possible, Impossible)
YESNO(POSSIBLE, IMPOSSIBLE)
using i64 = long long;
using T = ld;
// [min, max] は閉区間を入力する
T golden_section_search(const function<T(T)>& f, T min, T max) {
const ld phi_1 = (sqrtl(5) - 1) / 2;
const ld phi_2 = (3 - sqrtl(5)) / 2;
assert(min <= max);
T x = min + (max - min) * phi_2, fx = f(x), fy;
for (auto _ : views::iota(0, 150)) {
T y = min + (max - min) * phi_1;
fy = f(y);
if (fx > fy) {
tie(min, max) = tuple{y, min};
} else {
tie(min, x) = tuple{x, y};
fx = fy;
}
}
return fx;
}
/*
@brief 黄金分割探索
*/
// https://noshi91.hatenablog.com/entry/2023/02/18/005856
// 辺コストが monge である DAG の 0 - i 最短路
vector<T> monge_shortest_path(int N, const auto f) {
vector<T> dp(N + 1, INFINITY);
vector<int> x(N + 1, 0);
auto check = [&](int from, int to) {
if (from >= to) return;
T cost = f(from, to);
if (dp[from] + cost < dp[to]) dp[to] = dp[from] + cost, x[to] = from;
};
auto dfs = [&](auto rc, int l, int r) -> void {
if (l + 1 >= r) return;
int m = (l + r) / 2;
for (int i = x[l]; i <= x[r]; i++) check(i, m);
rc(rc, l, m);
for (int i = l + 1; i <= m; i++) check(i, r);
rc(rc, m, r);
};
dp[0] = 0, check(0, N), dfs(dfs, 0, N);
return dp;
}
/**
* @brief monge グラフ上の最短路
*/
// 辺コストが monge である DAG の D 辺 0-N 最短路
// f : from -> to のコスト (long long)
// upper : max abs(辺数を 1 増減させたときのコストの変化)
// (内部で int128 で計算しているので upper は 1e18 でも壊れない)
ld monge_d_edge_shortest_path(int N, int D, const auto f) {
const T upper = 1e6;
auto dp = [&](T x) -> T {
auto g = [&](int from, int to) -> T { return f(from, to) + x; };
T cost = monge_shortest_path(N, g)[N];
return cost - T{1} * D * x;
};
return golden_section_search(dp, -upper, upper);
}
void solve(){
LL(n,m);
VEC(ll,a,n);
a.insert(begin(a),0);
rep(i,n)a[i+1]+=a[i];
out(monge_d_edge_shortest_path(n, m, [&](int from, int to) { return sqrtl((to - from) * (a[to] - a[from])); }));
}
int main(){
ll t = 1;
// in(t);
rep(i,t){
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3860kb
input:
4 2 1 2 3 4
output:
6.191147129557
result:
ok found '6.191147130', expected '6.191147130', error '0.000000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
10 3 1 2 3 4 5 6 7 8 9 10
output:
22.591625366514
result:
ok found '22.591625367', expected '22.591625367', error '0.000000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
1 1 1
output:
1.000000000000
result:
ok found '1.000000000', expected '1.000000000', error '0.000000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
1 1 100000
output:
316.227766016838
result:
ok found '316.227766017', expected '316.227766017', error '0.000000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
7 1 10 47 53 9 83 33 15
output:
41.833001326704
result:
ok found '41.833001327', expected '41.833001327', error '0.000000000'
Test #6:
score: -100
Wrong Answer
time: 0ms
memory: 3840kb
input:
8 5 138 1702 119 1931 418 1170 840 1794
output:
244.637975625781
result:
wrong answer 1st numbers differ - expected: '233.9016546', found: '244.6379756', error = '0.0459010'