Submission #3884254
Source Code Expand
//セグフォは関数内で要素のでかい配列を定義しているから
//todo idef DEBUGで、境界チェック付きのvectorを作りたい
//http://marycore.jp/prog/cpp/class-extension-methods/
//現状ifdef DEBUG が何故か動かないので出来ない
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define double long double
struct initon {
initon() {
cin.tie(0);
ios::sync_with_stdio(false);
cout.setf(ios::fixed);
cout.precision(16);
};
} hoee;
namespace std {
template<> class hash<std::pair<signed, signed>> {
public:
size_t operator()(const std::pair<signed, signed> &x) const {
return hash<ll>()(((ll) x.first << 32) + x.second);
}
};
template<> class hash<std::pair<ll, ll>> {
public:
size_t operator()(const std::pair<ll, ll> &x) const {
return hash<ll>()(((ll) x.first << 32) + x.second);
}
};
}
struct Tri {
int f, s, t;
Tri() {
f = -1, s = -1, t = -1;
}
Tri(int f, int s, int t) : f(f), s(s), t(t) {}
bool operator<(const Tri &r) const {
return f != r.f ? f < r.f : s != r.s ? s < r.s : t < r.t;
//return f != r.f ? f > r.f : s != r.s ? s > r.s : t > r.t; 大きい順
}
int operator[](int i) {
assert(i < 3);
switch (i) {
case 0:
return f;
break;
case 1:
return s;
break;
default:
return t;
break;
}
}
};
//別名
#define ull unsigned long long
#define vec vector
#define con continue
#define bre break
#define brk break
#define is ==
#define eq ==
#define no !=
#define ne !=
#define dif !=
#define df !=
#define rs resize
#define PQ priority_queue<ll, vector<ll>, greater<ll> >
using vi = vector<int>;
#define vvi(a, b, c) vec<vi> a(b,vi(c))
using vb = vector<bool>;
#define vvb(a, b, c) vec<vb> a(b,vb(c))
using vs = vector<string>;
#define vvs(a, b, c) vec<vs> a(b,vs(c))
using vl = vector<ll>;
#define vvl(a, b, c) vec<vl> a(b,vl(c))
using vd = vector<double>;
#define vvd(a, b, c) vec<vd> a(b,vd(c))
using vc=vector<char>;
#define vvc(a, b, c) vec<vc> a(b,vc(c))
using P = pair<int, int>;
//using T = tuple<int, int, int>;
using vp = vector<P>;
#define vvp(a, b, c) vec<vp> a(b,vp(c))
using vt = vector<Tri>;
#define vvt(a, b, c) vec<vt> a(b,vt(c))
using dou = double;
using itn = int;
using str = string;
using bo= bool;
#define uset unordered_set
#define umap unordered_map
#define F first
#define S second
//定数
#define k4 10101
#define k5 101010
#define k6 1010101
#define k7 10101010
const int INF = (int) 1e9 + 100;
const ll LINF = (ll) 1e18 + 100;
const double EPS = 1e-9;
const int y4[] = {-1, 1, 0, 0};
const int x4[] = {0, 0, -1, 1};
const int y8[] = {0, 1, 0, -1, -1, 1, 1, -1};
const int x8[] = {1, 0, -1, 0, 1, -1, 1, -1};
//配列
#define sz(a) (sizeof(a)/sizeof(a[0]))
//コンテナ
#define mp make_pair
#define pb push_back
#define pf push_front
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define rall(a) (a).rbegin(),(a).rend()
template<class T> inline void sort(vector<T> &a) { sort(a.begin(), a.end()); };
template<class T> inline void rsort(vector<T> &a) { sort(a.begin(), a.end(), greater<T>()); };
template<class T> inline void sort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len); };
template<class T> inline void rsort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len, greater<T>()); };
//繰り返し
#define _overloadrep(_1, _2, _3, name, ...) name
# define _rep(i, n) for(int i = 0; i < n ; i++)
#define repi(i, m, n) for(int i = m; i < n ; i++)
#define rep(...) _overloadrep(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#define _rer(i, n) for(int i = n; i >= 0 ; i--)
#define reri(i, m, n) for(int i = m; i >= n ; i--)
#define rer(...) _overloadrep(__VA_ARGS__,reri,_rer,)(__VA_ARGS__)
#define fora(a, b) for(auto&& a : b)
#define forr(a, b) for_each(map.rbegin(),map.rend(),[](auto&& a)
#define rea(a, b) for(auto&& a : b)
#define repa(a, b) for(auto&& a : b)
template<typename A, size_t N, typename T> void fill(A (&a)[N], const T &v) {
rep(i, N)a[i] = v;
}
template<typename A, size_t N, size_t O, typename T> void fill(A (&a)[N][O], const T &v) {
rep(i, N)rep(j, O)a[i][j] = v;
}
template<typename A, size_t N, size_t O, size_t P, typename T> void fill(A (&a)[N][O][P], const T &v) {
rep(i, N)rep(j, O)rep(k, P)a[i][j][k] = v;
}
template<typename A, size_t N, size_t O, size_t P, size_t Q, typename T> void fill(A (&a)[N][O][P][Q], const T &v) {
rep(i, N)rep(j, O)rep(k, P)rep(l, Q)a[i][j][k][l] = v;
}
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, typename T> void fill(A (&a)[N][O][P][Q][R], const T &v) {
rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)a[i][j][k][l][m] = v;
}
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, size_t S, typename T> void fill(A (&a)[N][O][P][Q][R][S], const T &v) {
rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)rep(n, S)a[i][j][k][l][m][n] = v;
}
template<class T, class U> void fill(vector<T> &a, U v) {
rep(i, a.size())a[i] = v;
}
template<class T, class U> void fill(vector<vector<T>> &a, U v) {
rep(i, a.size())rep(j, a[0].size())a[i][j] = v;
}
template<class T, class U> void fill(vector<vector<vector<T>>> &a, U v) {
rep(i, a.size())rep(j, a[0].size())rep(k, a[0][0].size())a[i][j][k] = v;
}
#define arcpy(a, b) memcpy(a,b,sizeof(b))
//入力
template<typename T = int> T in() {
T x;
cin >> x;
return (x);
}
string sin() { return in<string>(); }
double din() { return in<double>(); }
ll lin() { return in<ll>(); }
#define na(a, n) rep(i,n) cin >> a[i];
#define nad(a, n) rep(i,n) cin >> a[i], a[i]--;
#define na3(a, b, c, n) rep(i, n)cin >> a[i] >> b[i] >> c[i];
#define add2(a, b, n) rep(i, n)a.pb(in()),b.pb(in());
#define add2d(a, b, n) rep(i, n)a.pb(in()-1),b.pb(in()-1);
#define add3(a, b, c, n) rep(i, n)a.pb(in()),b.pb(in()),c.pb(in());
#define add3d(a, b, c, n) rep(i, n)a.pb(in()-1),b.pb(in()-1),c.pb(in());
#define na2(a, b, n) rep(i, n)cin >> a[i] >> b[i];
#define nt(a, h, w) rep(hi,h)rep(wi,w) cin >> a[hi][wi];
#define ntd(a, h, w) rep(hi,h)rep(wi,w) cin >> a[hi][wi], a[hi][wi]--;
#define ntp(a, h, w) fill(a,'#');rep(hi,1,h+1)rep(wi,1,w+1) cin >> a[hi][wi];
#define addAll(a, n) rep(i,n) a.pb(in());
#define addAlld(a, n) rep(i,n) a.pb(in()-1);
//出力
template<class T> void out(T x) {
if (typeid(x) == typeid(double))cout << fixed << setprecision(10) << x << endl;
else cout << x << endl;
}
//デバッグ
#define debug(x) cerr << x << " " << "(L:" << __LINE__ << ")" << '\n';
// 境界チェック付きvector
namespace std_vector_bounds_checking {
using namespace std;
template<class T, class A = std::allocator<T>> struct vector : std::vector<T, A> {
using std::vector<T, A>::vector;
typename std::vector<T>::reference operator[](typename std::vector<T>::size_type n) {
return this->at(n);
}
};
}
//よく使うクラス、構造体
class UnionFind {
public:
vi par, rank, sizes;
int n, trees;
UnionFind(int n) : n(n), trees(n) {
par.resize(n), rank.resize(n), sizes.resize(n);
rep(i, n)par[i] = i, sizes[i] = 1;
}
int root(int x) {
if (par[x] == x)return x;
else return par[x] = root(par[x]);
}
void unite(int x, int y) {
x = root(x);
y = root(y);
if (x == y)return;
if (rank[x] < rank[y])swap(x, y);
trees--;
par[y] = x;
sizes[x] += sizes[y];
if (rank[x] == rank[y])rank[x]++;
}
bool same(int x, int y) { return root(x) == root(y); }
int size(int x) { return sizes[root(x)]; }
//順不同 umapなので
vec<vi> sets() {
vec<vi> res(trees);
umap<int, vi> map;
rep(i, n) map[root(i)].push_back(i);
int i = 0;
for (auto &&p:map) {
int r = p.F;
res[i].push_back(r);
for (auto &&v:p.S) {
if (r == v)continue;
res[i].push_back(v);
}
i++;
}
return res;
}
};
//MOD関連
ll MOD = (int) 1e9 + 7;
int mpow(int v, ll a) {
ll x = v, n = a, res = 1;
while (n) {
if (n & 1)res = (res * x) % MOD;
x = (x * x) % MOD;
n >>= 1;
}
return res;
}
class mint {
private:
ll v;
public:
static ll mod(ll a) { return (a % MOD + MOD) % MOD; }
mint(ll a = 0) { this->v = mod(a); };
mint(const mint &a) { v = a.v; }
mint operator+(const mint &a) { return mint(v + a.v); }
mint operator+(const ll a) { return mint(v + a % MOD); }
mint operator+(const signed a) { return mint(v + a % MOD); }
friend mint operator+(const ll a, const mint &b) { return mint(a % MOD + b.v); }
void operator+=(const mint &a) { v = (v + a.v) % MOD; }
void operator+=(const ll a) { v = mod(v + a % MOD); }
void operator+=(const signed a) { v = mod(v + a % MOD); }
friend void operator+=(ll &a, const mint &b) { a = mod(a % MOD + b.v); }
mint operator-(const mint &a) { return mint(v - a.v); }
mint operator-(const ll a) { return mint(v - a % MOD); }
mint operator-(const signed a) { return mint(v - a % MOD); }
friend mint operator-(const ll a, const mint &b) { return mint(a % MOD - b.v); }
void operator-=(const mint &a) { v = mod(v - a.v); }
void operator-=(const ll a) { v = mod(v - a % MOD); }
void operator-=(const signed a) { v = mod(v - a % MOD); }
friend void operator-=(ll &a, const mint &b) { a = mod(a % MOD - b.v); }
mint operator*(const mint &a) { return mint(v * a.v); }
mint operator*(const ll a) { return mint(v * (a % MOD)); }
mint operator*(const signed a) { return mint(v * (a % MOD)); }
friend mint operator*(const ll a, const mint &b) { return mint(a % MOD * b.v); }
void operator*=(const mint &a) { v = (v * a.v) % MOD; }
void operator*=(const ll a) { v = mod(v * (a % MOD)); }
void operator*=(const signed a) { v = mod(v * (a % MOD)); }
friend void operator*=(ll &a, const mint &b) { a = mod(a % MOD * b.v); }
mint operator/(const mint &a);
mint operator/(const ll a);
mint operator/(const signed a);
friend mint operator/(const ll a, const mint &b);
void operator/=(const mint &a);
void operator/=(const ll a);
void operator/=(const signed a);
friend void operator/=(ll &a, const mint &b);
mint operator^(const mint &a) { return mpow(v, a.v); };
mint operator^(const ll a) { return mpow(v, a); };
mint operator^(const signed a) { return mpow(v, a); };
friend mint operator^(const ll a, const mint &b) { return mpow(a, b.v); };
void operator^=(const mint &a) { v = mpow(v, a.v); }
void operator^=(const ll a) { v = mpow(v, a); }
void operator^=(const signed a) { v = mpow(v, a); }
//単項演算子
mint operator+() { return *this; }
mint operator++() {
v++;
return *this;
}
mint operator++(signed d) {
mint res = *this;
v++;
return res;
}
mint operator-() { return operator*(-1); }
mint operator--() {
v++;
return *this;
}
void operator--(signed d) {
mint res = *this;
v++;
}
bool operator==(mint &a) {
return v == a.v;
}
bool operator==(signed a) {
return v == a;
}
friend bool operator==(signed a, mint &b) {
return a == b.v;
}
bool operator!=(mint &a) {
return v != a.v;
}
bool operator!=(signed a) {
return v != a;
}
friend bool operator!=(signed a, mint &b) {
return a != b.v;
}
operator int() { return v; }
};
const int setModMax = 510000;
mint fac[setModMax], finv[setModMax], inv[setModMax];
void setMod() {
fac[0] = fac[1] = 1;
finv[0] = finv[1] = 1;
inv[1] = 1;
for (int i = 2; i < setModMax; i++) {
fac[i] = fac[i - 1] * i % MOD;
inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
finv[i] = finv[i - 1] * inv[i] % MOD;
}
}
mint minv(ll a) {
if (fac[0] == 0)setMod();
if (a < setModMax) return inv[a];
a %= MOD;
ll b = MOD, x = 1, y = 0;
while (b) {
ll t = a / b;
a -= t * b;
swap(a, b);
x -= t * y;
swap(x, y);
}
return (x % MOD + MOD) % MOD;
}
mint mint::operator/(const mint &a) { return mint(v * minv(a.v)); }
mint mint::operator/(const ll a) { return mint(v * minv(a)); }
mint mint::operator/(const signed a) { return mint(v * minv(a)); }
mint operator/(const ll a, const mint &b) { return mint(a % MOD * minv(b.v)); }
void mint::operator/=(const mint &a) { v = (v * minv(a.v)) % MOD; }
void mint::operator/=(const ll a) { v = mod(v * minv(a)); }
void mint::operator/=(const signed a) { v = mod(v * minv(a)); }
void operator/=(ll &a, const mint &b) { a = mint::mod(a % MOD * minv(b.v)); }
using vm=vector<mint>;
#define vvm(a, b, c) vec<vm> a(b,vm(c))
bool isPrime[4010101];
vi primes;
void setPrime() {
fill(isPrime, true);
isPrime[0] = isPrime[1] = false;
for (int i = 2; i <= sqrt(sz(isPrime)) + 5; ++i) {
if (!isPrime[i])continue;
for (int j = 2; i * j < sz(isPrime); ++j) {
isPrime[i * j] = false;
}
}
rep(i, sz(isPrime))if (isPrime[i])primes.pb(i);
}
mint com(ll n, ll r) {
if (n < r || n < 0 || r < 0)return 0;
if (fac[0] == 0)setMod();
return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD;
}
//便利関数
ll gcd(ll a, ll b) {
return b ? gcd(b, a % b) : a;
}
ll lcm(ll a, ll b) {
return a / gcd(a, b) * b;
}
bool equal(double a, double b) {
return fabs(a - b) < EPS;
}
ll reverse(ll a) {
ll res = 0;
while (a) {
res *= 10;
res += a % 10;
a /= 10;
}
return res;
}
ll ceil(ll a, ll b) {
return (a + b - 1) / b;
}
ll sqrt(ll a) {
ll res = (ll) std::sqrt(a);
while (res * res < a)res++;
return res;
}
double log(double e, double x) {
return log(x) / log(e);
}
ll sig(ll t) { return (1 + t) * t / 2; }
ll sig(ll s, ll t) { return (s + t) * (t - s + 1) / 2; }
vi divisors(int v) {
vi res;
for (int i = 1; i <= sqrt(v); ++i) {
if (v % i == 0) {
res.pb(i);
if (i != v / i)res.pb(v / i);
}
}
return res;
}
vi factorization(int v) {
int tv = v;
vi res;
if (!isPrime[2])setPrime();
for (auto &&p :primes) {
if (v % p == 0)res.push_back(p);
while (v % p == 0) {
v /= p;
}
if (v == 1 || p * p > tv)break;
}
if (v > 1)res.pb(v);
return res;
}
unordered_map<int, int> factorizationMap(int v) {
int tv = v;
unordered_map<int, int> res;
if (!isPrime[2])setPrime();
for (auto &&p :primes) {
while (v % p == 0) {
res[p]++;
v /= p;
}
if (v == 1 || p * p > tv)break;
}
if (v > 1)res[v]++;
return res;
}
int get(int a, int keta) {
a /= (int) pow(10, keta);
return a % 10;
}
//変換系
template<class T, class U> vector<U> keys(map<T, U> a) {
vector<U> res;
for (auto &&k :a)res.pb(k.F);
return res;
}
template<class T, class U> vector<U> keys(umap<T, U> a) {
vector<U> res;
for (auto &&k :a)res.pb(k.F);
return res;
}
template<class T, class U> vector<T> values(map<T, U> a) {
vector<T> res;
for (auto &&k :a)res.pb(k.S);
return res;
}
template<class T, class U> vector<T> values(umap<T, U> a) {
vector<T> res;
for (auto &&k :a)res.pb(k.S);
return res;
}
vi list(int a) {
vi res;
while (a) {
res.insert(res.begin(), a % 10);
a /= 10;
}
return res;
}
template<class T, class U> bool chmax(T &a, const U &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template<class T, class U> bool chmin(T &a, const U &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<class T> T min(T a, signed b) {
return a < b ? a : b;
}
template<class T> T max(T a, signed b) {
return a < b ? b : a;
}
template<class T> T min(vector<T> a) {
return *min_element(all(a));
}
template<class T> T max(vector<T> a) {
return *max_element(all(a));
}
template<class T> T min(T a[]) {
T res = a[0];
rep(i, sz(a))chmin(res, a[i]);
return res;
}
template<class T> T max(T a[]) {
T res = a[0];
rep(i, sz(a))chmax(res, a[i]);
return res;
}
template<class T> T sum(vector<T> &v, int len = -1) {
if (len == -1)len = v.size();
T res = 0;
rep(i, min((int) len, (int) v.size()))res += v[i];
return res;
}
///要素が0の時、返り値は0か1か
template<class T> T mul(vector<T> &v, int len = -1) {
if (len == -1)len = v.size();
T res = 1;
rep(i, min((int) len, (int) v.size()))res *= v[i];
return res;
}
void clear(PQ &q) {
while (q.size())q.pop();
}
template<class T> void clear(queue<T> &q) {
while (q.size())q.pop();
}
template<class T> vector<T> ruiv(vector<T> &a) {
vector<T> res(a.size() + 1);
rep(i, a.size())res[i + 1] = res[i] + a[i];
return res;
}
template<class T> void plus(vector<T> &a, T v = 1) {
for (auto &&u :a)u += v;
}
template<class T> void minu(vector<T> &a, T v = 1) {
for (auto &&u :a)u -= v;
}
template<class T> void minus(vector<T> &a, T v = 1) {
for (auto &&u :a)u -= v;
}
inline bool inside(int y, int x, int H, int W) { return y >= 0 && x >= 0 && y < H && x < W; }
ll u(ll a) { return a < 0 ? 0 : a; }
#define inc(s, x, t) s<=x&&x<t
#define MIN(a) numeric_limits<a>::min()
#define MAX(a) numeric_limits<a>::max()
template<class T> T min(vector<vector<T>> &a) {
T res = MAX(T);
rep(i, a.size())chmin(res, *min_element(all(a[i])));
return res;
}
template<class T> T max(vector<vector<T>> &a) {
T res = MIN(T);
rep(i, a.size())chmax(res, *max_element(all(a[i])));
return res;
}
bool bget(ll m, int keta) {
return (m >> keta) & 1;
}
int bget(ll m, int keta, int sinsuu) {
m /= (ll) pow(sinsuu, keta);
return m % sinsuu;
}
inline ll bit(int n) {
return (1LL << (n));
}
inline ll bit(int n, int sinsuu) {
return (ll) pow(sinsuu, n);
}
int bcou(ll m) {
return __builtin_popcount(m & 0xFFFFFFFF) + __builtin_popcount(m >> 32);
}
//初期化は0を渡す
ll nextComb(ll &mask, int n, int r) {
if (!mask)return mask = (1LL << r) - 1;
ll x = mask & -mask; //最下位の1
ll y = mask + x; //連続した下の1を繰り上がらせる
ll res = ((mask & ~y) / x >> 1) | y;
if (bget(res, n))return mask = 0;
else return mask = res;
}
//n桁以下でビットがr個立っているもののvectorを返す
vl bitCombList(int n, int r) {
vl res;
int m = 0;
while (nextComb(m, n, r)) {
res.pb(m);
}
return res;
}
int ctoi(char c) {
if ('A' <= c && c <= 'Z')return c - 'A';
return c - 'a' + 26;
}
char itoc(int i) {
if (i < 26)return 'A' + i;
return 'a' + i - 26;
}
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() );
void compress(vi &a) {
vi b;
int len = a.size();
for (int i = 0; i < len; ++i) {
b.push_back(a[i]);
}
sort(b);
UNIQUE(b);
for (int i = 0; i < len; ++i) {
a[i] = lower_bound(all(b), a[i]) - b.begin();
}
}
void compress(int a[], int len) {
vi b;
for (int i = 0; i < len; ++i) {
b.push_back(a[i]);
}
sort(b);
UNIQUE(b);
for (int i = 0; i < len; ++i) {
a[i] = lower_bound(all(b), a[i]) - b.begin();
}
}
//要素が見つからなかったときに困る
#define lowerIndex(a, v) (lower_bound(a,v)-a.begin())
#define lowerBound(a, v) (*lower_bound(all(a),v))
#define upperIndex(a, v) (upper_bound(a,v)-a.begin())
#define upperBound(a, v) (*upper_bound(all(a),v))
#define ans(a) cout<<a<<endl;continue;
#define poll(a) q.front();q.pop()
#define dpoll(a) q.front();q.pop_front()
#define pollLast(a) q.back();q.pop_back()
#define pollBack(a) q.back();q.pop_back()
template<class T> inline void fin(T s) { cout << s << endl, exit(0); }
template<class T> struct edge {
int from, to;
T cost;
int id;
int type;
edge(int f, int t, T c = 1, int id = -1, int ty = -1) : from(f), to(t), cost(c), id(id), type(ty) {}
bool operator<(const edge &b) const {
return cost < b.cost;
}
bool operator>(const edge &b) const {
return cost > b.cost;
}
};
template<typename T> class graph {
protected:
vector<bool> _used;
public :
vector<vector<edge<T>>> g;
vector<edge<T>> edges;
int n;
graph(int n) : n(n) {
g.resize(n);
_used.resize(n);
}
void clear() {
g.clear();
edges.clear();
}
void resize(int n) {
this->n = n;
g.resize(n);
_used.resize(n);
}
bool isleaf(int v, int r) {
return g[v].size() == 1 && g[v][0].to == r;
}
T operator[](int i) {
return g[i];
}
virtual void add(int from, int to, T cost, int ty) = 0;
virtual bool used(edge<T> &e) = 0;
virtual bool used(int id) = 0;
virtual void del(edge<T> &e) = 0;
virtual void del(int id) = 0;
};
template<class T=int> class undigraph : public graph<T> {
public:
using graph<T>::g;
using graph<T>::n;
using graph<T>::edges;
using graph<T>::_used;
undigraph(int n) : graph<T>(n) {
}
void add(int f, int t, T cost = 1, int ty = -1) {
assert(0 <= f && f < n && 0 <= t && t < n);
int id = edges.size();
g[f].emplace_back(f, t, cost, id, ty);
g[t].emplace_back(t, f, cost, id + 1, ty);
edges.emplace_back(f, t, cost, id, ty);
edges.emplace_back(t, f, cost, id + 1, ty);
}
void add(edge<T> &e) {
int f = e.from, t = e.to, ty = e.type;
T cost = e.cost;
add(f, t, cost, ty);
}
bool used(edge<T> &e) {
return _used[e.id];
}
bool used(int id) {
return _used[id];
}
void del(edge<T> &e) {
_used[e.id] = _used[e.id ^ 1] = 1;
}
void del(int id) {
_used[id] = _used[id ^ 1] = 1;
}
};
template<typename T =ll> class digraph : public graph<T> {
public:
using graph<T>::g;
using graph<T>::n;
using graph<T>::edges;
using graph<T>::_used;
digraph(int n) : graph<T>(n) {
}
void add(int f, int t, T cost = 1, int ty = -1) {
assert(0 <= f && f < n && 0 <= t && t < n);
int id = edges.size();
g[f].emplace_back(t, cost, ty, id);
edges.emplace_back(f, t, cost, ty, id);
}
bool used(edge<T> &e) {
return _used[e.id];
}
bool used(int id) {
return _used[id];
}
void del(edge<T> &e) {
_used[e.id] = _used[e.id ^ 1] = 1;
}
void del(int id) {
_used[id] = _used[id ^ 1] = 1;
}
};
template<class T> bool nibu(const graph<T> &g) {
UnionFind uf(g.n * 2);
for (auto &&e :g.edges)uf.unite(e.f, e.t + g.n), uf.unite(e.f + g.n, e.t);
return !uf.same(0, g.n);
}
template<class T> vector<T> dijkstra(const graph<T> &g, int s) {
assert(inc(0, s, g.n));
T initValue = MAX(T);
vector<T> dis(g.n, initValue);
priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> q;
dis[s] = 0;
q.emplace(0, s);
while (q.size()) {
T nowc = q.top().F;
int i = q.top().S;
q.pop();
if (dis[i] != nowc)continue;
for (auto &&e : g.g[i]) {
int to = e.to;
T cost = nowc + e.cost;
if (dis[to] > cost) {
dis[to] = cost;
q.emplace(dis[to], to);
}
}
}
//たどり着かないなら-1
for (auto &&d :dis) if (d == initValue)d = -1;
return dis;
}
//機能拡張
template<typename T> void remove(vector<T> &v, unsigned int i) { v.erase(v.begin() + i); }
template<typename T> void remove(vector<T> &v, unsigned int s, unsigned int e) {
v.erase(v.begin() + s, v.begin() + e);
}
template<typename T> void removen(vector<T> &v, unsigned int s, unsigned int n) {
v.erase(v.begin() + s, v.begin() + s + n);
}
template<typename T> void erase(vector<T> &v, unsigned int i) { v.erase(v.begin() + i); }
template<typename T> void erase(vector<T> &v, unsigned int s, unsigned int e) {
v.erase(v.begin() + s, v.begin() + e);
}
template<typename T> void erasen(vector<T> &v, unsigned int s, unsigned int n) {
v.erase(v.begin() + s, v.begin() + s + n);
}
template<typename T> void insert(vector<T> &v, unsigned int i, T t) { v.insert(v.begin() + i, t); }
template<typename T> void insert(vector<T> &v, unsigned int i, vector<T> list) {
for (auto &&va :list)v.insert(v.begin() + i++, va);
}
template<typename T> void insert(vector<T> &v, unsigned int i, initializer_list<T> list) {
for (auto &&va :list)v.insert(v.begin() + i++, va);
}
int mod(int a, int m) {
return (a % m + m) % m;
}
ll ma = numeric_limits<ll>::min();
ll mi = numeric_limits<ll>::max();
int N, K, M, H, W, X, Y, q, Q, r;
vi A, B, C;
vd fact(128);
vd dp(128); // i人をさばく時の期待値回数
double comb(int g, int c, int p) {
return fact[g + c + p] / fact[g] / fact[c] / fact[p];
}
double dfs(int x) {
if (dp[x] >= 0) return dp[x];
//gcpの数について、それぞれ何通りあるかしらべ
//j人が勝つなら、tori[j] += する
vd per(128); // i人が勝つ時の通り
rep(g, N + 1) {
rep(c, N + 1 - g) {
int p = N - g - c;
vi te;
if (g)te.pb(g);
if (c)te.pb(c);
if (p)te.pb(p);
sort(te);
int rare = te[0];
switch (count(all(te), rare)) {
case 1:
per[rare] += comb(g, c, p);
break;
case 2:
per[rare] += comb(g, c, p);
break;
case 3:
per[x] += comb(g, c, p);
break;
}
}
}
double zen = sum(per);
for (auto &&a :per)a /= zen;
double res = 1;
rep(i, 1, x) res += per[i] * dfs(i);
res /= 1 - per[x];
return dp[x] = res;
}
signed main() {
cin >> N;
fact[0] = 1;
rep(i, 1, 128)fact[i] = fact[i - 1] * i;
fill(dp, -1);
dp[1] = 0;
cout << dfs(N) << endl;
return 0;
}
Submission Info
Submission Time |
|
Task |
C - ゲーマーじゃんけん |
User |
baito |
Language |
C++14 (GCC 5.4.1) |
Score |
0 |
Code Size |
27355 Byte |
Status |
WA |
Exec Time |
88 ms |
Memory |
14208 KB |
Judge Result
Set Name |
All |
Score / Max Score |
0 / 100 |
Status |
|
Set Name |
Test Cases |
All |
input-002.txt, input-003.txt, input-004.txt, input-005.txt, input-006.txt, input-007.txt, input-008.txt, input-009.txt, input-010.txt, input-011.txt, input-012.txt, input-013.txt, input-014.txt, input-015.txt, input-016.txt, input-017.txt, input-018.txt, input-019.txt, input-020.txt, input-021.txt, input-022.txt, input-023.txt, input-024.txt, input-025.txt, input-026.txt, input-027.txt, input-028.txt, input-029.txt, input-030.txt, input-031.txt, input-032.txt, input-033.txt, input-034.txt, input-035.txt, input-036.txt, input-037.txt, input-038.txt, input-039.txt, input-040.txt, input-041.txt, input-042.txt, input-043.txt, input-044.txt, input-045.txt, input-046.txt, input-047.txt, input-048.txt, input-049.txt, input-050.txt, input-051.txt, input-052.txt, input-053.txt, input-054.txt, input-055.txt, input-056.txt, input-057.txt, input-058.txt, input-059.txt, input-060.txt, input-061.txt, input-062.txt, input-063.txt, input-064.txt, input-065.txt, input-066.txt, input-067.txt, input-068.txt, input-069.txt, input-070.txt, input-071.txt, input-072.txt, input-073.txt, input-074.txt, input-075.txt, input-076.txt, input-077.txt, input-078.txt, input-079.txt, input-080.txt, input-081.txt, input-082.txt, input-083.txt, input-084.txt, input-085.txt, input-086.txt, input-087.txt, input-088.txt, input-089.txt, input-090.txt, input-091.txt, input-092.txt, input-093.txt, input-094.txt, input-095.txt, input-096.txt, input-097.txt, input-098.txt, input-099.txt, input-100.txt |
Case Name |
Status |
Exec Time |
Memory |
input-002.txt |
AC |
5 ms |
14080 KB |
input-003.txt |
AC |
5 ms |
14080 KB |
input-004.txt |
WA |
5 ms |
14080 KB |
input-005.txt |
WA |
5 ms |
14080 KB |
input-006.txt |
WA |
5 ms |
14080 KB |
input-007.txt |
WA |
5 ms |
14080 KB |
input-008.txt |
WA |
5 ms |
14080 KB |
input-009.txt |
WA |
5 ms |
14080 KB |
input-010.txt |
WA |
5 ms |
14080 KB |
input-011.txt |
WA |
5 ms |
14080 KB |
input-012.txt |
WA |
5 ms |
14080 KB |
input-013.txt |
WA |
5 ms |
14080 KB |
input-014.txt |
WA |
5 ms |
14080 KB |
input-015.txt |
WA |
6 ms |
14080 KB |
input-016.txt |
WA |
6 ms |
14080 KB |
input-017.txt |
WA |
6 ms |
14080 KB |
input-018.txt |
WA |
6 ms |
14080 KB |
input-019.txt |
WA |
6 ms |
14080 KB |
input-020.txt |
WA |
6 ms |
14080 KB |
input-021.txt |
WA |
6 ms |
14080 KB |
input-022.txt |
WA |
6 ms |
14080 KB |
input-023.txt |
WA |
6 ms |
14080 KB |
input-024.txt |
WA |
6 ms |
14080 KB |
input-025.txt |
WA |
7 ms |
14080 KB |
input-026.txt |
WA |
7 ms |
14080 KB |
input-027.txt |
WA |
7 ms |
14080 KB |
input-028.txt |
WA |
7 ms |
14208 KB |
input-029.txt |
WA |
7 ms |
14080 KB |
input-030.txt |
WA |
7 ms |
14080 KB |
input-031.txt |
WA |
8 ms |
14080 KB |
input-032.txt |
WA |
8 ms |
14080 KB |
input-033.txt |
WA |
9 ms |
14080 KB |
input-034.txt |
WA |
9 ms |
14080 KB |
input-035.txt |
WA |
9 ms |
14080 KB |
input-036.txt |
WA |
9 ms |
14080 KB |
input-037.txt |
WA |
10 ms |
14080 KB |
input-038.txt |
WA |
10 ms |
14080 KB |
input-039.txt |
WA |
10 ms |
14080 KB |
input-040.txt |
WA |
11 ms |
14080 KB |
input-041.txt |
WA |
11 ms |
14080 KB |
input-042.txt |
WA |
11 ms |
14080 KB |
input-043.txt |
WA |
12 ms |
14080 KB |
input-044.txt |
WA |
12 ms |
14080 KB |
input-045.txt |
WA |
13 ms |
14080 KB |
input-046.txt |
WA |
13 ms |
14080 KB |
input-047.txt |
WA |
14 ms |
14080 KB |
input-048.txt |
WA |
14 ms |
14080 KB |
input-049.txt |
WA |
15 ms |
14080 KB |
input-050.txt |
WA |
16 ms |
14080 KB |
input-051.txt |
WA |
16 ms |
14080 KB |
input-052.txt |
WA |
17 ms |
14080 KB |
input-053.txt |
WA |
17 ms |
14080 KB |
input-054.txt |
WA |
18 ms |
14080 KB |
input-055.txt |
WA |
19 ms |
14080 KB |
input-056.txt |
WA |
20 ms |
14080 KB |
input-057.txt |
WA |
20 ms |
14080 KB |
input-058.txt |
WA |
22 ms |
14080 KB |
input-059.txt |
WA |
22 ms |
14080 KB |
input-060.txt |
WA |
24 ms |
14080 KB |
input-061.txt |
WA |
23 ms |
14080 KB |
input-062.txt |
WA |
24 ms |
14208 KB |
input-063.txt |
WA |
25 ms |
14080 KB |
input-064.txt |
WA |
28 ms |
14080 KB |
input-065.txt |
WA |
27 ms |
14080 KB |
input-066.txt |
WA |
28 ms |
14080 KB |
input-067.txt |
WA |
29 ms |
14080 KB |
input-068.txt |
WA |
30 ms |
14080 KB |
input-069.txt |
WA |
31 ms |
14080 KB |
input-070.txt |
WA |
32 ms |
14080 KB |
input-071.txt |
WA |
34 ms |
14080 KB |
input-072.txt |
WA |
35 ms |
14080 KB |
input-073.txt |
WA |
36 ms |
14080 KB |
input-074.txt |
WA |
37 ms |
14080 KB |
input-075.txt |
WA |
38 ms |
14080 KB |
input-076.txt |
WA |
40 ms |
14080 KB |
input-077.txt |
WA |
42 ms |
14080 KB |
input-078.txt |
WA |
43 ms |
14080 KB |
input-079.txt |
WA |
44 ms |
14080 KB |
input-080.txt |
WA |
46 ms |
14080 KB |
input-081.txt |
WA |
47 ms |
14080 KB |
input-082.txt |
WA |
48 ms |
14080 KB |
input-083.txt |
WA |
51 ms |
14080 KB |
input-084.txt |
WA |
52 ms |
14080 KB |
input-085.txt |
WA |
55 ms |
14080 KB |
input-086.txt |
WA |
55 ms |
14080 KB |
input-087.txt |
WA |
61 ms |
14080 KB |
input-088.txt |
WA |
59 ms |
14080 KB |
input-089.txt |
WA |
61 ms |
14080 KB |
input-090.txt |
WA |
62 ms |
14080 KB |
input-091.txt |
WA |
64 ms |
14080 KB |
input-092.txt |
WA |
66 ms |
14080 KB |
input-093.txt |
WA |
68 ms |
14080 KB |
input-094.txt |
WA |
70 ms |
14080 KB |
input-095.txt |
WA |
72 ms |
14080 KB |
input-096.txt |
WA |
81 ms |
14080 KB |
input-097.txt |
WA |
83 ms |
14080 KB |
input-098.txt |
WA |
79 ms |
14080 KB |
input-099.txt |
WA |
88 ms |
14080 KB |
input-100.txt |
WA |
84 ms |
14080 KB |