結果

問題 No.616 へんなソート
ユーザー はむこはむこ
提出日時 2017-12-04 12:31:22
言語 C++11
(gcc 11.4.0)
結果
AC  
実行時間 157 ms / 2,000 ms
コード長 6,719 bytes
コンパイル時間 1,393 ms
コンパイル使用メモリ 161,472 KB
実行使用メモリ 110,608 KB
最終ジャッジ日時 2023-08-19 02:22:09
合計ジャッジ時間 3,289 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
このコードへのチャレンジ
（要ログイン）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 1 ms
4,376 KB
testcase_07 AC 1 ms
4,376 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 1 ms
4,380 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 5 ms
5,404 KB
testcase_13 AC 88 ms
61,496 KB
testcase_14 AC 3 ms
4,380 KB
testcase_15 AC 1 ms
4,376 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 74 ms
52,492 KB
testcase_18 AC 32 ms
24,076 KB
testcase_19 AC 24 ms
18,948 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 2 ms
4,380 KB
testcase_22 AC 11 ms
10,280 KB
testcase_23 AC 1 ms
4,380 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 11 ms
9,208 KB
testcase_27 AC 8 ms
8,092 KB
testcase_28 AC 157 ms
110,608 KB
testcase_29 AC 156 ms
110,608 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
#include <sys/time.h>
using namespace std;

#define rep(i,n) for(long long i = 0; i < (long long)(n); i++)
#define repi(i,a,b) for(long long i = (long long)(a); i < (long long)(b); i++)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define fi first
#define se second
#define mt make_tuple
#define mp make_pair
template<class T1, class T2> bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); }
template<class T1, class T2> bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

using ll = long long; using vll = vector<ll>; using vvll = vector<vll>; using P = pair<ll, ll>;
using ld = long double;  using vld = vector<ld>; 
using vi = vector<int>; using vvi = vector<vi>; vll conv(vi& v) { vll r(v.size()); rep(i, v.size()) r[i] = v[i]; return r; }

inline void input(int &v){ v=0;char c=0;int p=1; while(c<'0' || c>'9'){if(c=='-')p=-1;c=getchar();} while(c>='0' && c<='9'){v=(v<<3)+(v<<1)+c-'0';c=getchar();} v*=p; }
template <typename T, typename U> ostream &operator<<(ostream &o, const pair<T, U> &v) {  o << "(" << v.first << ", " << v.second << ")"; return o; }
template<size_t...> struct seq{}; template<size_t N, size_t... Is> struct gen_seq : gen_seq<N-1, N-1, Is...>{}; template<size_t... Is> struct gen_seq<0, Is...> : seq<Is...>{};
template<class Ch, class Tr, class Tuple, size_t... Is>
void print_tuple(basic_ostream<Ch,Tr>& os, Tuple const& t, seq<Is...>){ using s = int[]; (void)s{0, (void(os << (Is == 0? "" : ", ") << get<Is>(t)), 0)...}; }
template<class Ch, class Tr, class... Args> 
auto operator<<(basic_ostream<Ch, Tr>& os, tuple<Args...> const& t) -> basic_ostream<Ch, Tr>& { os << "("; print_tuple(os, t, gen_seq<sizeof...(Args)>()); return os << ")"; }
ostream &operator<<(ostream &o, const vvll &v) { rep(i, v.size()) { rep(j, v[i].size()) o << v[i][j] << " "; o << endl; } return o; }
template <typename T> ostream &operator<<(ostream &o, const vector<T> &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]";  return o; }
template <typename T> ostream &operator<<(ostream &o, const deque<T> &v) { o << '['; rep(i, v.size()) o << v[i] << (i != v.size()-1 ? ", " : ""); o << "]";  return o; }
template <typename T>  ostream &operator<<(ostream &o, const set<T> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T>  ostream &operator<<(ostream &o, const unordered_set<T> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T, typename U>  ostream &operator<<(ostream &o, const map<T, U> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it << (next(it) != m.end() ? ", " : ""); o << "]";  return o; }
template <typename T, typename U, typename V>  ostream &operator<<(ostream &o, const unordered_map<T, U, V> &m) { o << '['; for (auto it = m.begin(); it != m.end(); it++) o << *it; o << "]";  return o; }
vector<int> range(const int x, const int y) { vector<int> v(y - x + 1); iota(v.begin(), v.end(), x); return v; }
template <typename T> istream& operator>>(istream& i, vector<T>& o) { rep(j, o.size()) i >> o[j]; return i;}
template <typename T, typename S, typename U> ostream &operator<<(ostream &o, const priority_queue<T, S, U> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; }
template <typename T> ostream &operator<<(ostream &o, const queue<T> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.front(); tmp.pop(); o << x << " ";} return o; }
template <typename T> ostream &operator<<(ostream &o, const stack<T> &v) { auto tmp = v; while (tmp.size()) { auto x = tmp.top(); tmp.pop(); o << x << " ";} return o; }
template <typename T> unordered_map<T, ll> counter(vector<T> vec){unordered_map<T, ll> ret; for (auto&& x : vec) ret[x]++; return ret;};
string substr(string s, P x) {return s.substr(x.fi, x.se - x.fi); }
void vizGraph(vvll& g, int mode = 0, string filename = "out.png") { ofstream ofs("./out.dot"); ofs << "digraph graph_name {" << endl; set<P> memo; rep(i, g.size())  rep(j, g[i].size()) { if (mode && (memo.count(P(i, g[i][j])) || memo.count(P(g[i][j], i)))) continue; memo.insert(P(i, g[i][j])); ofs << "    " << i << " -> " << g[i][j] << (mode ? " [arrowhead = none]" : "")<< endl;  } ofs << "}" << endl; ofs.close(); system(((string)"dot -T png out.dot >" + filename).c_str()); }
size_t random_seed; namespace std { using argument_type = P; template<> struct hash<argument_type> { size_t operator()(argument_type const& x) const { size_t seed = random_seed; seed ^= hash<ll>{}(x.fi); seed ^= (hash<ll>{}(x.se) << 1); return seed; } }; }; // hash for various class
struct timeval start; double sec() { struct timeval tv; gettimeofday(&tv, NULL); return (tv.tv_sec - start.tv_sec) + (tv.tv_usec - start.tv_usec) * 1e-6; }
struct init_{init_(){ ios::sync_with_stdio(false); cin.tie(0); gettimeofday(&start, NULL); struct timeval myTime; struct tm *time_st; gettimeofday(&myTime, NULL); time_st = localtime(&myTime.tv_sec); srand(myTime.tv_usec); random_seed = RAND_MAX / 2 + rand() / 2; }} init__;
uint32_t randxor() { static uint32_t x=1+(uint32_t)random_seed,y=362436069,z=521288629,w=88675123; uint32_t t; t=(x^(x<<11));x=y;y=z;z=w; return( w=(w^(w>>19))^(t^(t>>8)) ); }
#define rand randxor
#define ldout fixed << setprecision(40) 

#define EPS (double)1e-14;
#define INF (ll)1e18;
#define mo  (ll)(1e9+7)

int main(void) {
    ll n, K; cin >> n >> K;
    /*
    DP[i][j] = i個見て、転倒数がjであるような場合の数
        DP[0][0] = 1
        DP[i][j]    = sum_{k in [0, i+1)} DP[i-1][j-k]
        = sum_{k in [max(0, j-i), j+1)} DP[i-1][k]

        a = {1 2 3 4}
    as = {1 3 6 10}
    a[i:j) =  
        a[1:2] = as[2]-as[0]
        as[j]-as[i-1] = a[i, j]
        sum dp[i-1][j-i:j] = dp[i-1][j]-dp[i-1][max(0, j-i)-1]
        */

    vvll dp(n+1, vll(n*(n+1)/2+1));
    dp[0][0] = 1;
    repi(i, 1, n+1) {
#if 0
        rep(j, dp[i].size()) {
            repi(k, max(0ll, j-i+1), j+1) {
                (dp[i][j] += dp[i-1][k]) %= mo;
            }
        }
#else
        vll dps(dp[i-1].size()+1);
        rep(j, dp[i-1].size())  {
            (dps[j+1] = dps[j] + dp[i-1][j]) %= mo;
        }
        rep(j, dp[i].size()) {
            (dp[i][j] = dps[j+1] - dps[max(0ll, j-i+1)]) %= mo;
        }
#endif

        /*
        rep(j, dp[i].size()) if (dp[i][j]) {
            cout << i << " " << j << " " << dp[i][j] << endl;
        }
        */
    }
    ll ret = 0;
    rep(i, K+1) {
        (ret += dp[n][i]) %= mo;
    }
    cout << ((ret % mo + mo) % mo) << endl;


    return 0;
}
0