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Submission #458599

# Submission time Handle Problem Language Result Execution time Memory
458599 2021-08-08T05:10:45 Z AriaH Fancy Fence (CEOI20_fancyfence) C++11
100 / 100
 149 ms 32124 KB 
/** work as hard as you can and keep the first place **/

#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>

using namespace std;

typedef long long			ll;
typedef long double			ld;
typedef pair < int, int > 	pii;
typedef pair < ll, ll > 	pll;

#define F					first
#define S					second
#define all(x)				x.begin(), x.end()
#define SZ(x)				(int)x.size()
#define Mp					make_pair

const int N = 1e6 + 10;
const ll mod = 1e9 + 7;
const ll inf = 8e18;
const int LOG = 20;

ll pw(ll a, ll b, ll M = mod, ll ret = 1) { while(b) { ret = ret * (b & 1? a : 1) % M, a = a * a % M, b >>= 1; } return ret; }

ll inv2, ps[N];

int n, h[N], w[N];

vector < int > cm, Q[N];

set < pair < pii, ll > > st;

ll C2(ll x)
{
	x %= mod;
	return x * (x - 1) % mod * inv2 % mod;
}

ll baze(int l, int r)
{
	return 1ll * (r + l) * (r - l + 1) % mod * inv2 % mod;
}

void add(int l, int r)
{
	if(l > r) return;
	st.insert(Mp(Mp(l, r), ps[r] - ps[l - 1]));
}

int main()
{
	inv2 = pw(2, mod - 2, mod);
	scanf("%d", &n);
	for(int i = 1; i <= n; i ++)
	{
		scanf("%d", &h[i]);
		cm.push_back(h[i]);
	}
	for(int i = 1; i <= n; i ++)
	{
		scanf("%d", &w[i]);
		ps[i] = ps[i - 1] + w[i];
	}
	st.insert(Mp(Mp(1, n), ps[n]));
	cm.push_back(0);
	sort(all(cm));
	cm.resize(unique(all(cm)) - cm.begin());
	for(int i = 1; i <= n; i ++)
	{
		int cu = lower_bound(all(cm), h[i]) - cm.begin();
		Q[cu].push_back(i);
	}
	ll sum = C2(ps[n] + 1), tot = 0;
	for(int i = 1; i < SZ(cm); i ++)
	{
		for(auto id : Q[i - 1])
		{
			auto it = st.lower_bound(Mp(Mp(id, 1e9), -1));
			it --;
			int l = (*it).F.F, r = (*it).F.S;
			sum = (sum - C2(ps[r] - ps[l - 1] + 1) + mod) % mod;
			st.erase(it);
			add(l, id - 1), add(id + 1, r);
			sum = (sum + C2(ps[r] - ps[id] + 1) + C2(ps[id - 1] - ps[l - 1] + 1)) % mod;
		}
		///printf("i = %d cm = %d sum = %lld\n", i, cm[i], sum);
		tot = (tot + baze(cm[i - 1] + 1, cm[i]) * sum % mod) % mod;
	}
	printf("%lld", tot);
	return 0;
}
/** test corner cases(n = 1?) watch for overflow or minus indices **/

Compilation message

fancyfence.cpp: In function 'int main()':
fancyfence.cpp:54:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   54 |  scanf("%d", &n);
      |  ~~~~~^~~~~~~~~~
fancyfence.cpp:57:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   57 |   scanf("%d", &h[i]);
      |   ~~~~~^~~~~~~~~~~~~
fancyfence.cpp:62:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   62 |   scanf("%d", &w[i]);
      |   ~~~~~^~~~~~~~~~~~~

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23688 KB Output is correct
2 Correct 15 ms 23884 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23712 KB Output is correct
2 Correct 14 ms 23756 KB Output is correct
3 Correct 14 ms 23772 KB Output is correct
4 Correct 15 ms 23756 KB Output is correct
5 Correct 15 ms 23756 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23812 KB Output is correct
2 Correct 15 ms 23788 KB Output is correct
3 Correct 35 ms 26328 KB Output is correct
4 Correct 70 ms 28348 KB Output is correct
5 Correct 64 ms 28696 KB Output is correct
6 Correct 44 ms 27788 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23796 KB Output is correct
2 Correct 18 ms 24268 KB Output is correct
3 Correct 30 ms 26060 KB Output is correct
4 Correct 46 ms 28092 KB Output is correct
5 Correct 49 ms 28096 KB Output is correct
6 Correct 14 ms 23756 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23696 KB Output is correct
2 Correct 15 ms 23856 KB Output is correct
3 Correct 18 ms 24312 KB Output is correct
4 Correct 31 ms 26052 KB Output is correct
5 Correct 45 ms 28052 KB Output is correct
6 Correct 45 ms 28052 KB Output is correct
7 Correct 16 ms 23756 KB Output is correct
8 Correct 22 ms 24400 KB Output is correct
9 Correct 41 ms 26644 KB Output is correct
10 Correct 72 ms 30524 KB Output is correct
11 Correct 77 ms 30396 KB Output is correct
12 Correct 16 ms 23756 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23756 KB Output is correct
2 Correct 18 ms 23796 KB Output is correct
3 Correct 17 ms 23752 KB Output is correct
4 Correct 18 ms 23756 KB Output is correct
5 Correct 18 ms 23756 KB Output is correct
6 Correct 14 ms 23756 KB Output is correct
7 Correct 16 ms 23696 KB Output is correct
8 Correct 17 ms 23840 KB Output is correct
9 Correct 15 ms 23788 KB Output is correct
10 Correct 15 ms 23756 KB Output is correct
11 Correct 15 ms 23836 KB Output is correct
12 Correct 17 ms 23756 KB Output is correct
13 Correct 18 ms 23800 KB Output is correct
14 Correct 16 ms 23844 KB Output is correct
15 Correct 15 ms 23804 KB Output is correct
16 Correct 14 ms 23756 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 23688 KB Output is correct
2 Correct 15 ms 23884 KB Output is correct
3 Correct 16 ms 23756 KB Output is correct
4 Correct 15 ms 23884 KB Output is correct
5 Correct 15 ms 23756 KB Output is correct
6 Correct 14 ms 23752 KB Output is correct
7 Correct 15 ms 23688 KB Output is correct
8 Correct 17 ms 23784 KB Output is correct
9 Correct 16 ms 23776 KB Output is correct
10 Correct 18 ms 23756 KB Output is correct
11 Correct 36 ms 26320 KB Output is correct
12 Correct 71 ms 28348 KB Output is correct
13 Correct 58 ms 28812 KB Output is correct
14 Correct 45 ms 27856 KB Output is correct
15 Correct 16 ms 23756 KB Output is correct
16 Correct 18 ms 24268 KB Output is correct
17 Correct 36 ms 26064 KB Output is correct
18 Correct 45 ms 28104 KB Output is correct
19 Correct 47 ms 28060 KB Output is correct
20 Correct 16 ms 23796 KB Output is correct
21 Correct 20 ms 24440 KB Output is correct
22 Correct 42 ms 26540 KB Output is correct
23 Correct 71 ms 30432 KB Output is correct
24 Correct 74 ms 30448 KB Output is correct
25 Correct 15 ms 23724 KB Output is correct
26 Correct 15 ms 23796 KB Output is correct
27 Correct 16 ms 23796 KB Output is correct
28 Correct 16 ms 23812 KB Output is correct
29 Correct 18 ms 23792 KB Output is correct
30 Correct 25 ms 24572 KB Output is correct
31 Correct 24 ms 24656 KB Output is correct
32 Correct 50 ms 26708 KB Output is correct
33 Correct 67 ms 28132 KB Output is correct
34 Correct 149 ms 31816 KB Output is correct
35 Correct 89 ms 29268 KB Output is correct
36 Correct 136 ms 32124 KB Output is correct
37 Correct 132 ms 30800 KB Output is correct
38 Correct 14 ms 23756 KB Output is correct
39 Correct 119 ms 29112 KB Output is correct
40 Correct 109 ms 30328 KB Output is correct
41 Correct 78 ms 30388 KB Output is correct
42 Correct 64 ms 30404 KB Output is correct