oj.uz

Submission #741886

# Submission time Handle Problem Language Result Execution time Memory
741886 2023-05-15T03:30:52 Z marvinthang Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 63 ms 9804 KB 
/*************************************
*    author: marvinthang             *
*    created: 08.05.2023 10:24:39    *
*************************************/

#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

const int MOD = 1e9 + 7;
namespace Mod {

    inline void fasterLLDivMod(unsigned long long x, unsigned y, unsigned &out_d, unsigned &out_m) {
        unsigned xh = (unsigned)(x >> 32), xl = (unsigned)x, d, m;
    #ifdef __GNUC__
        asm(
            "divl %4 \n\t"
            : "=a" (d), "=d" (m)
            : "d" (xh), "a" (xl), "r" (y)
        );
    #else
        __asm {
            mov edx, dword ptr[xh];
            mov eax, dword ptr[xl];
            div dword ptr[y];
            mov dword ptr[d], eax;
            mov dword ptr[m], edx;
        };
    #endif
        out_d = d; out_m = m;
    }

    template <class T> T invGeneral(T a, T b) {
        a %= b;
        if (!a) return b == 1 ? 0 : -1;
        T x = invGeneral(b, a);
        return x == -1 ? -1 : ((1 - 1LL * b * x) / a + b) % b;
    }

    template <int MOD>
    struct ModInt {
        
        unsigned int val;

        ModInt(void): val(0) {}
        ModInt(const long long &x) { *this = x; }

        ModInt & normalize(const unsigned int &v) {
            val = v >= MOD ? v - MOD : v;
            return *this;
        }

        bool operator ! (void) { return !val; }

        ModInt & operator = (const ModInt &x) { val = x.val; return *this; }
        ModInt & operator = (const long long &x) { return normalize(x % MOD + MOD); }

        ModInt operator - (void) { return ModInt(MOD - val); }

        ModInt & operator += (const ModInt &other) { return normalize(val + other.val); }
        ModInt & operator -= (const ModInt &other) { return normalize(val + MOD - other.val); }
        ModInt & operator /= (const ModInt &other) { return *this *= other.inv(); }

        ModInt & operator *= (const ModInt &other) {
            unsigned dummy;
            fasterLLDivMod((unsigned long long) val * other.val, MOD, dummy, val);
            return *this;
        }

        ModInt operator + (const ModInt &other) const { return ModInt(*this) += other; }
        ModInt operator - (const ModInt &other) const { return ModInt(*this) -= other; }
        ModInt operator * (const ModInt &other) const { return ModInt(*this) *= other; }
        ModInt operator / (const ModInt &other) const { return ModInt(*this) /= other; }

        ModInt pow(long long n) const {
            assert(n >= 0);
            ModInt res = 1, a = *this;
            for (; n; n >>= 1, a *= a) if (n & 1) res *= a;
            return res;
        }

        ModInt inv(void) const {
            int i = invGeneral((int) val, MOD);
            assert(~i);
            return i;
        }

        ModInt & operator ++ (void) { return *this += 1; }
        ModInt & operator -- (void) { return *this -= 1; }
        ModInt operator ++ (int) { ModInt old = *this; operator ++(); return old; }
        ModInt operator -- (int) { ModInt old = *this; operator --(); return old; }

        friend ModInt operator + (const long long &x, const ModInt &y) { return ModInt(x) + y; }
        friend ModInt operator - (const long long &x, const ModInt &y) { return ModInt(x) - y; }
        friend ModInt operator * (const long long &x, const ModInt &y) { return ModInt(x) * y; }
        friend ModInt operator / (const long long &x, const ModInt &y) { return ModInt(x) / y; }
        friend ostream & operator << (ostream &out, const ModInt &x) { return out << x.val; }
        friend istream & operator >> (istream &in, ModInt &x) { long long a; in >> a; x = a; return in; }

        bool operator < (const ModInt &other) const { return val < other.val; }
        bool operator > (const ModInt &other) const { return val > other.val; }
        bool operator <= (const ModInt &other) const { return val <= other.val; }
        bool operator >= (const ModInt &other) const { return val >= other.val; }
        bool operator == (const ModInt &other) const { return val == other.val; }
        bool operator != (const ModInt &other) const { return val != other.val; }
        explicit operator bool(void) const { return val; }
        explicit operator int(void) const { return val; }

    };  

    using Modular = ModInt <MOD>;

}

using namespace Mod;

// end of template

const int MAX = 1e5 + 5;

int N, H[MAX], W[MAX];

void init(void) {
	cin >> N;
	REP(i, N) cin >> H[i];
	REP(i, N) cin >> W[i];
}

vector <int> add[MAX];
int lab[MAX];
bool active[MAX];
Modular sum_w[MAX];
Modular sum_pair;

int find(int u) {
	return lab[u] < 0 ? u : lab[u] = find(lab[u]);
}

bool join(int u, int v) {
	u = find(u); v = find(v);
	if (u == v) return false;
	if (lab[u] > lab[v]) swap(u, v);
	sum_pair -= sum_w[u] * (sum_w[u] + 1) / 2;
	sum_pair -= sum_w[v] * (sum_w[v] + 1) / 2;
	sum_w[u] += sum_w[v];
	sum_pair += sum_w[u] * (sum_w[u] + 1) / 2;
	lab[u] += lab[v];
	lab[v] = u;
	return true;
}

void process(void) {
	vector <int> height {0};
	REP(i, N) {
		height.push_back(H[i]);
		sum_w[i] = W[i];
		lab[i] = -1;
	}
	sort(ALL(height));
	height.erase(unique(ALL(height)), height.end());
	REP(i, N) add[lower_bound(ALL(height), H[i]) - height.begin()].push_back(i);
	Modular res = 0;
	FORD(i, height.size(), 1) {
		for (int u: add[i]) {
			sum_pair += sum_w[u] * (sum_w[u] + 1) / 2;
			if (u && active[u - 1]) join(u, u - 1);
			if (u + 1 < N && active[u + 1]) join(u, u + 1);
			active[u] = true;
		}
		int l = height[i - 1] + 1;
		int r = height[i];
		res += 1LL * (r + l) * (r - l + 1) / 2 * sum_pair;
	}
	cout << res << '\n';
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
	file("A");
	init();
	process();
	cerr << "Time elapsed: " << TIME << " s.\n";
	return (0^0);
}

Compilation message

fancyfence.cpp: In function 'int main()':
fancyfence.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
fancyfence.cpp:212:2: note: in expansion of macro 'file'
  212 |  file("A");
      |  ^~~~
fancyfence.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                                                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
fancyfence.cpp:212:2: note: in expansion of macro 'file'
  212 |  file("A");
      |  ^~~~

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3092 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3028 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3084 KB Output is correct
3 Correct 16 ms 4800 KB Output is correct
4 Correct 29 ms 6652 KB Output is correct
5 Correct 31 ms 6600 KB Output is correct
6 Correct 28 ms 6528 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 5 ms 3440 KB Output is correct
3 Correct 18 ms 5156 KB Output is correct
4 Correct 32 ms 7244 KB Output is correct
5 Correct 36 ms 7400 KB Output is correct
6 Correct 2 ms 3072 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3072 KB Output is correct
2 Correct 2 ms 3092 KB Output is correct
3 Correct 5 ms 3468 KB Output is correct
4 Correct 17 ms 5200 KB Output is correct
5 Correct 31 ms 7320 KB Output is correct
6 Correct 34 ms 7324 KB Output is correct
7 Correct 2 ms 3032 KB Output is correct
8 Correct 6 ms 3668 KB Output is correct
9 Correct 20 ms 5752 KB Output is correct
10 Correct 41 ms 9632 KB Output is correct
11 Correct 41 ms 9760 KB Output is correct
12 Correct 2 ms 3028 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 3 ms 3028 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3068 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3028 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 3 ms 3028 KB Output is correct
12 Correct 2 ms 3088 KB Output is correct
13 Correct 2 ms 3084 KB Output is correct
14 Correct 2 ms 3088 KB Output is correct
15 Correct 2 ms 3084 KB Output is correct
16 Correct 2 ms 3080 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3092 KB Output is correct
3 Correct 2 ms 3068 KB Output is correct
4 Correct 2 ms 3156 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3028 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3068 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 16 ms 4816 KB Output is correct
12 Correct 28 ms 6684 KB Output is correct
13 Correct 29 ms 6548 KB Output is correct
14 Correct 27 ms 6448 KB Output is correct
15 Correct 2 ms 3028 KB Output is correct
16 Correct 5 ms 3468 KB Output is correct
17 Correct 17 ms 5132 KB Output is correct
18 Correct 34 ms 7276 KB Output is correct
19 Correct 34 ms 7436 KB Output is correct
20 Correct 3 ms 3156 KB Output is correct
21 Correct 5 ms 3668 KB Output is correct
22 Correct 20 ms 5696 KB Output is correct
23 Correct 40 ms 9612 KB Output is correct
24 Correct 44 ms 9728 KB Output is correct
25 Correct 2 ms 3076 KB Output is correct
26 Correct 2 ms 3028 KB Output is correct
27 Correct 2 ms 3156 KB Output is correct
28 Correct 2 ms 3028 KB Output is correct
29 Correct 3 ms 3028 KB Output is correct
30 Correct 9 ms 3720 KB Output is correct
31 Correct 7 ms 3668 KB Output is correct
32 Correct 20 ms 5016 KB Output is correct
33 Correct 28 ms 6448 KB Output is correct
34 Correct 63 ms 9416 KB Output is correct
35 Correct 39 ms 7044 KB Output is correct
36 Correct 61 ms 9764 KB Output is correct
37 Correct 63 ms 8576 KB Output is correct
38 Correct 2 ms 3028 KB Output is correct
39 Correct 54 ms 8180 KB Output is correct
40 Correct 53 ms 9652 KB Output is correct
41 Correct 43 ms 9732 KB Output is correct
42 Correct 41 ms 9804 KB Output is correct