Submission #994625

# Submission time Handle Problem Language Result Execution time Memory
994625 2024-06-08T02:37:47 Z jonathanirvings Trains (BOI24_trains) C++17
100 / 100
737 ms 80720 KB
//start of jonathanirvings' template v3.0.3 (BETA)

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

typedef long long LL;
typedef pair<int,int> pii;
typedef pair<LL,LL> pll;
typedef pair<string,string> pss;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vii;
typedef vector<LL> vl;
typedef vector<vl> vvl;

double EPS = 1e-9;
int INF = 1000000005;
long long INFF = 1000000000000000005LL;
double PI = acos(-1);
int dirx[8] = {-1,0,0,1,-1,-1,1,1};
int diry[8] = {0,1,-1,0,-1,1,-1,1};

#ifdef TESTING
  #define DEBUG fprintf(stderr,"====TESTING====\n")
  #define VALUE(x) cerr << "The value of " << #x << " is " << x << endl
  #define debug(...) fprintf(stderr, __VA_ARGS__)
#else
  #define DEBUG
  #define VALUE(x)
  #define debug(...)
#endif

#define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
#define FORN(a,b,c) for (int (a)=(b);(a)<=(c);++(a))
#define FORD(a,b,c) for (int (a)=(b);(a)>=(c);--(a))
#define FORSQ(a,b,c) for (int (a)=(b);(a)*(a)<=(c);++(a))
#define FORC(a,b,c) for (char (a)=(b);(a)<=(c);++(a))
#define FOREACH(a,b) for (auto &(a) : (b))
#define REP(i,n) FOR(i,0,n)
#define REPN(i,n) FORN(i,1,n)
#define MAX(a,b) a = max(a,b)
#define MIN(a,b) a = min(a,b)
#define SQR(x) ((LL)(x) * (x))
#define RESET(a,b) memset(a,b,sizeof(a))
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define ALL(v) v.begin(),v.end()
#define ALLA(arr,sz) arr,arr+sz
#define SIZE(v) (int)v.size()
#define SORT(v) sort(ALL(v))
#define REVERSE(v) reverse(ALL(v))
#define SORTA(arr,sz) sort(ALLA(arr,sz))
#define REVERSEA(arr,sz) reverse(ALLA(arr,sz))
#define PERMUTE next_permutation
#define TC(t) while(t--)

inline string IntToString(LL a){
  char x[100];
  sprintf(x,"%lld",a); string s = x;
  return s;
}

inline LL StringToInt(string a){
  char x[100]; LL res;
  strcpy(x,a.c_str()); sscanf(x,"%lld",&res);
  return res;
}

inline string GetString(void){
  char x[1000005];
  scanf("%s",x); string s = x;
  return s;
}

inline string uppercase(string s){
  int n = SIZE(s);
  REP(i,n) if (s[i] >= 'a' && s[i] <= 'z') s[i] = s[i] - 'a' + 'A';
  return s;
}

inline string lowercase(string s){
  int n = SIZE(s);
  REP(i,n) if (s[i] >= 'A' && s[i] <= 'Z') s[i] = s[i] - 'A' + 'a';
  return s;
}

inline void OPEN (string s) {
  #ifndef TESTING
  freopen ((s + ".in").c_str (), "r", stdin);
  freopen ((s + ".out").c_str (), "w", stdout);
  #endif
}

//end of jonathanirvings' template v3.0.3 (BETA)

#ifndef ATCODER_FENWICKTREE_HPP
#define ATCODER_FENWICKTREE_HPP 1

#include <cassert>
#include <vector>

#ifndef ATCODER_INTERNAL_TYPE_TRAITS_HPP
#define ATCODER_INTERNAL_TYPE_TRAITS_HPP 1

#include <cassert>
#include <numeric>
#include <type_traits>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder

#endif  // ATCODER_INTERNAL_TYPE_TRAITS_HPP

namespace atcoder {

// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
    using U = internal::to_unsigned_t<T>;

  public:
    fenwick_tree() : _n(0) {}
    explicit fenwick_tree(int n) : _n(n), data(n) {}

    void add(int p, T x) {
        assert(0 <= p && p < _n);
        p++;
        while (p <= _n) {
            data[p - 1] += U(x);
            p += p & -p;
        }
    }

    T sum(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        return sum(r) - sum(l);
    }

  private:
    int _n;
    std::vector<U> data;

    U sum(int r) {
        U s = 0;
        while (r > 0) {
            s += data[r - 1];
            r -= r & -r;
        }
        return s;
    }
};

}  // namespace atcoder

#endif  // ATCODER_FENWICKTREE_HPP

template <int Mod>
struct ModInt {
  
  ModInt() : num_(0) {}
 
  template <class T>
  ModInt(T num) {
    long long x = (long long)(num % (long long)(Mod));
    if (x < 0) x += Mod;
    num_ = (int)(x);
  }
 
  ModInt& operator++() {
    num_++;
    if (num_ == Mod) num_ = 0;
    return *this;
  }
  ModInt& operator--() {
    if (num_ == 0) num_ = Mod;
    num_--;
    return *this;
  }
  ModInt operator++(int) {
    ModInt result = *this;
    ++*this;
    return result;
  }
  ModInt operator--(int) {
    ModInt result = *this;
    --*this;
    return result;
  }
 
  ModInt& operator+=(const ModInt& rhs) {
    num_ += rhs.num_;
    if (num_ >= Mod) num_ -= Mod;
    return *this;
  }
  ModInt& operator-=(const ModInt& rhs) {
    num_ -= rhs.num_;
    if (num_ < 0) num_ += Mod;
    return *this;
  }
  ModInt& operator*=(const ModInt& rhs) {
    long long z = num_;
    z *= rhs.num_;
    num_ = (int)(z % Mod);
    return *this;
  }
  ModInt& operator/=(const ModInt& rhs) { return *this = *this * rhs.inv(); }
 
  ModInt operator+() const { return *this; }
  ModInt operator-() const { return ModInt() - *this; }
 
  ModInt pow(long long n) const {
    assert(0 <= n);
    ModInt x = *this, r = 1;
    while (n) {
      if (n & 1) r *= x;
      x *= x;
      n >>= 1;
    }
    return r;
  }
  ModInt inv() const {
    return pow(Mod - 2);
  }
 
  friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) += rhs;
  }
  friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) -= rhs;
  }
  friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) *= rhs;
  }
  friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) /= rhs;
  }
  friend bool operator==(const ModInt& lhs, const ModInt& rhs) {
    return lhs.num_ == rhs.num_;
  }
  friend bool operator!=(const ModInt& lhs, const ModInt& rhs) {
    return lhs.num_ != rhs.num_;
  }
 
  int get() const { return num_; }
 
  int num_;
};
 
template <int Mod>
struct ModBinomCoeff {
 
  ModBinomCoeff() {}
  ModBinomCoeff(int N) : fact_(N + 1), inv_fact_(N + 1) {
    fact_[0] = 1;
    for (int i = 1; i <= N; ++i) {
      fact_[i] = fact_[i - 1] * (i);
    }
    inv_fact_[N] = fact_[N].inv();
    for (int i = N - 1; i >= 0; --i) {
      inv_fact_[i] = inv_fact_[i + 1] * (i + 1);
    }
  }
 
  ModInt<Mod> fact(int N) {
    assert(N < fact_.size());
    return fact_[N];
  }
  ModInt<Mod> choose(int N, int K) {
    assert(N < fact_.size());
    return fact_[N] * inv_fact_[K] * inv_fact_[N - K];
  }
 
  vector<ModInt<Mod>> fact_;
  vector<ModInt<Mod>> inv_fact_;
};
 
constexpr int Mod998244353 = 998244353;
constexpr int Mod1000000007 = 1000000007;
constexpr int Mod = Mod1000000007;
 
using Int = ModInt<Mod>;
using BinomCoeff = ModBinomCoeff<Mod>;

using Fenwick = atcoder::fenwick_tree<Int>;

int LIMIT = 200;

int n;
int d[100005];
int x[100005];
Int dp[100005];
vector<vector<Fenwick>> fenwick;

int main()
{
  scanf("%d",&n);
  REP(i,n) scanf("%d %d",&d[i],&x[i]);
  fenwick.resize(LIMIT);
  FOR(delta,1,LIMIT) 
  {
    fenwick[delta].resize(delta);
    REP(i,delta) fenwick[delta][i] = Fenwick(n / delta + 3);
  }
  FORD(i,n-1,0)
  {
    // debug("%d\n",i);
    dp[i] = 1;
    if (d[i] >= LIMIT)
    {
      FORN(t,1,x[i])
      {
        if (i + d[i] * t >= n) break;
        dp[i] += dp[i + d[i] * t];
      }
    } else if (d[i] > 0)
    {
      int l = i / d[i];
      int r = min(n / d[i] + 3, l + x[i] + 1);
      dp[i] += fenwick[d[i]][i % d[i]].sum(l,r);
    }
    FOR(delta,1,LIMIT) fenwick[delta][i % delta].add(i / delta,dp[i]);
  }
  printf("%d\n",dp[0].get());
}



Compilation message

Main.cpp: In function 'std::string uppercase(std::string)':
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:39:18: note: in expansion of macro 'FOR'
   39 | #define REP(i,n) FOR(i,0,n)
      |                  ^~~
Main.cpp:79:3: note: in expansion of macro 'REP'
   79 |   REP(i,n) if (s[i] >= 'a' && s[i] <= 'z') s[i] = s[i] - 'a' + 'A';
      |   ^~~
Main.cpp: In function 'std::string lowercase(std::string)':
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:39:18: note: in expansion of macro 'FOR'
   39 | #define REP(i,n) FOR(i,0,n)
      |                  ^~~
Main.cpp:85:3: note: in expansion of macro 'REP'
   85 |   REP(i,n) if (s[i] >= 'A' && s[i] <= 'Z') s[i] = s[i] - 'A' + 'a';
      |   ^~~
Main.cpp: In function 'int main()':
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:39:18: note: in expansion of macro 'FOR'
   39 | #define REP(i,n) FOR(i,0,n)
      |                  ^~~
Main.cpp:386:3: note: in expansion of macro 'REP'
  386 |   REP(i,n) scanf("%d %d",&d[i],&x[i]);
      |   ^~~
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'delta' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:388:3: note: in expansion of macro 'FOR'
  388 |   FOR(delta,1,LIMIT)
      |   ^~~
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:39:18: note: in expansion of macro 'FOR'
   39 | #define REP(i,n) FOR(i,0,n)
      |                  ^~~
Main.cpp:391:5: note: in expansion of macro 'REP'
  391 |     REP(i,delta) fenwick[delta][i] = Fenwick(n / delta + 3);
      |     ^~~
Main.cpp:35:30: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   35 | #define FORD(a,b,c) for (int (a)=(b);(a)>=(c);--(a))
      |                              ^
Main.cpp:393:3: note: in expansion of macro 'FORD'
  393 |   FORD(i,n-1,0)
      |   ^~~~
Main.cpp:34:30: warning: unnecessary parentheses in declaration of 't' [-Wparentheses]
   34 | #define FORN(a,b,c) for (int (a)=(b);(a)<=(c);++(a))
      |                              ^
Main.cpp:399:7: note: in expansion of macro 'FORN'
  399 |       FORN(t,1,x[i])
      |       ^~~~
Main.cpp:33:29: warning: unnecessary parentheses in declaration of 'delta' [-Wparentheses]
   33 | #define FOR(a,b,c) for (int (a)=(b);(a)<(c);++(a))
      |                             ^
Main.cpp:410:5: note: in expansion of macro 'FOR'
  410 |     FOR(delta,1,LIMIT) fenwick[delta][i % delta].add(i / delta,dp[i]);
      |     ^~~
Main.cpp:385:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  385 |   scanf("%d",&n);
      |   ~~~~~^~~~~~~~~
Main.cpp:386:17: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  386 |   REP(i,n) scanf("%d %d",&d[i],&x[i]);
      |            ~~~~~^~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 2 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 2 ms 1884 KB Output is correct
9 Correct 1 ms 1884 KB Output is correct
10 Correct 2 ms 1884 KB Output is correct
11 Correct 1 ms 1884 KB Output is correct
12 Correct 2 ms 1880 KB Output is correct
13 Correct 2 ms 1880 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 1880 KB Output is correct
16 Correct 2 ms 1884 KB Output is correct
17 Correct 2 ms 1884 KB Output is correct
18 Correct 1 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 2 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 2 ms 1884 KB Output is correct
9 Correct 1 ms 1884 KB Output is correct
10 Correct 2 ms 1884 KB Output is correct
11 Correct 1 ms 1884 KB Output is correct
12 Correct 2 ms 1880 KB Output is correct
13 Correct 2 ms 1880 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 1880 KB Output is correct
16 Correct 2 ms 1884 KB Output is correct
17 Correct 2 ms 1884 KB Output is correct
18 Correct 1 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 33 ms 8300 KB Output is correct
21 Correct 14 ms 4264 KB Output is correct
22 Correct 46 ms 9780 KB Output is correct
23 Correct 26 ms 7000 KB Output is correct
24 Correct 16 ms 5164 KB Output is correct
25 Correct 38 ms 8796 KB Output is correct
26 Correct 17 ms 5468 KB Output is correct
27 Correct 39 ms 8540 KB Output is correct
28 Correct 44 ms 9560 KB Output is correct
29 Correct 57 ms 9776 KB Output is correct
30 Correct 42 ms 9564 KB Output is correct
31 Correct 45 ms 9696 KB Output is correct
32 Correct 41 ms 9564 KB Output is correct
33 Correct 43 ms 9564 KB Output is correct
34 Correct 39 ms 9804 KB Output is correct
35 Correct 40 ms 9564 KB Output is correct
36 Correct 42 ms 9564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1884 KB Output is correct
2 Correct 28 ms 7004 KB Output is correct
3 Correct 18 ms 5468 KB Output is correct
4 Correct 38 ms 8628 KB Output is correct
5 Correct 516 ms 62544 KB Output is correct
6 Correct 699 ms 80464 KB Output is correct
7 Correct 681 ms 80476 KB Output is correct
8 Correct 2 ms 1880 KB Output is correct
9 Correct 1 ms 1884 KB Output is correct
10 Correct 1 ms 1884 KB Output is correct
11 Correct 47 ms 9564 KB Output is correct
12 Correct 702 ms 80444 KB Output is correct
13 Correct 1 ms 1884 KB Output is correct
14 Correct 43 ms 9564 KB Output is correct
15 Correct 697 ms 80596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 293 ms 39772 KB Output is correct
2 Correct 233 ms 33372 KB Output is correct
3 Correct 699 ms 80596 KB Output is correct
4 Correct 470 ms 58448 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 2 ms 1880 KB Output is correct
7 Correct 42 ms 9564 KB Output is correct
8 Correct 689 ms 80464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 2 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 2 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 2 ms 1884 KB Output is correct
9 Correct 1 ms 1884 KB Output is correct
10 Correct 2 ms 1884 KB Output is correct
11 Correct 1 ms 1884 KB Output is correct
12 Correct 2 ms 1880 KB Output is correct
13 Correct 2 ms 1880 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 1880 KB Output is correct
16 Correct 2 ms 1884 KB Output is correct
17 Correct 2 ms 1884 KB Output is correct
18 Correct 1 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 33 ms 8300 KB Output is correct
21 Correct 14 ms 4264 KB Output is correct
22 Correct 46 ms 9780 KB Output is correct
23 Correct 26 ms 7000 KB Output is correct
24 Correct 16 ms 5164 KB Output is correct
25 Correct 38 ms 8796 KB Output is correct
26 Correct 17 ms 5468 KB Output is correct
27 Correct 39 ms 8540 KB Output is correct
28 Correct 44 ms 9560 KB Output is correct
29 Correct 57 ms 9776 KB Output is correct
30 Correct 42 ms 9564 KB Output is correct
31 Correct 45 ms 9696 KB Output is correct
32 Correct 41 ms 9564 KB Output is correct
33 Correct 43 ms 9564 KB Output is correct
34 Correct 39 ms 9804 KB Output is correct
35 Correct 40 ms 9564 KB Output is correct
36 Correct 42 ms 9564 KB Output is correct
37 Correct 2 ms 1884 KB Output is correct
38 Correct 28 ms 7004 KB Output is correct
39 Correct 18 ms 5468 KB Output is correct
40 Correct 38 ms 8628 KB Output is correct
41 Correct 516 ms 62544 KB Output is correct
42 Correct 699 ms 80464 KB Output is correct
43 Correct 681 ms 80476 KB Output is correct
44 Correct 2 ms 1880 KB Output is correct
45 Correct 1 ms 1884 KB Output is correct
46 Correct 1 ms 1884 KB Output is correct
47 Correct 47 ms 9564 KB Output is correct
48 Correct 702 ms 80444 KB Output is correct
49 Correct 1 ms 1884 KB Output is correct
50 Correct 43 ms 9564 KB Output is correct
51 Correct 697 ms 80596 KB Output is correct
52 Correct 293 ms 39772 KB Output is correct
53 Correct 233 ms 33372 KB Output is correct
54 Correct 699 ms 80596 KB Output is correct
55 Correct 470 ms 58448 KB Output is correct
56 Correct 2 ms 1884 KB Output is correct
57 Correct 2 ms 1880 KB Output is correct
58 Correct 42 ms 9564 KB Output is correct
59 Correct 689 ms 80464 KB Output is correct
60 Correct 573 ms 67408 KB Output is correct
61 Correct 721 ms 80464 KB Output is correct
62 Correct 669 ms 80468 KB Output is correct
63 Correct 682 ms 80596 KB Output is correct
64 Correct 710 ms 80592 KB Output is correct
65 Correct 726 ms 80720 KB Output is correct
66 Correct 683 ms 80600 KB Output is correct
67 Correct 684 ms 80596 KB Output is correct
68 Correct 695 ms 80592 KB Output is correct
69 Correct 694 ms 80596 KB Output is correct
70 Correct 692 ms 80596 KB Output is correct
71 Correct 687 ms 80464 KB Output is correct
72 Correct 737 ms 80476 KB Output is correct