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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#858981#9631. Median Replacement000226WA 1ms3712kbC++172.6kb2025-01-17 11:31:302025-01-17 11:31:31

Judging History

你现在查看的是最新测评结果

  • [2025-01-17 11:31:31]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3712kb
  • [2025-01-17 11:31:30]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int P = 1e9 + 7;

inline int mod (int x) { return x + (x >> 31 & P); }
inline void pls(int &x, int y) { x = mod (x + y - P); }
inline int power (int x, int y) {
	int res = 1;
	for (; y; y >>= 1, x = 1ll * x * x % P) if (y & 1) res = 1ll * res * x % P;
	return res;
}

#define lep(i, l, r) for (int i = (l); i <= (r); i ++) 
#define rep(i, l, r) for (int i = (l); i >= (r); i --)

const int N = 150 + 5;

int n, L[N], R[N];

int f[N][3];

int getC(int x) {
	f[0][0] = 1; f[0][1] = f[0][2] = 0;
	for (int i = 1; i <= n; i ++) {
		f[i][0] = f[i][1] = f[i][2] = 0;
		
		int le = max(x - L[i], 0); le = min (le, R[i] - L[i]);
		int ri = max(R[i] - x, 0); ri = min (ri, R[i] - L[i]);
		assert (le + ri == R[i] - L[i]);

		pls (f[i][0], 1ll * (f[i - 1][0] + f[i - 1][2]) * le % P);
		pls (f[i][1], 1ll * (f[i - 1][0]) * ri % P);
		pls (f[i][2], 1ll * f[i - 1][1] * le % P);
	}
	int ans = 0;
	lep (i, 0, 2) pls (ans, f[n][i]);
	int mul = 1;
	lep (i, 1, n) mul = 1ll * mul * (R[i] - L[i]) % P;
	//cerr << x << ' ' << ans << ' ' << mul << endl;
	ans = (mul - ans + P) % P;
	return ans;
}

int brute(int l, int r) {
	int ans = 0;
	lep (i, l, r) pls (ans, getC(i));
	return ans;
}

struct Lag {
	int X[N], Y[N], inv[N][N];
	int get(int x) {
		int ans = 0;
		for (int i = 1; i <= n + 2; i ++) {
			int mul = 1;
			for (int j = 1; j <= n + 2; j ++) if (i != j) {
				mul = 1ll * mul * (x - X[j] + P) % P;
				mul = 1ll * mul * power (inv[i][j], P - 2) % P;
			}
			mul = 1ll * mul * Y[i] % P;
			pls (ans, mul);
		}
		return ans;
	}
} lag;

void init() {
	lep (i, 1, N - 1) {
		lep (j, 1, N - 1) {
			lag.inv[i][j] = power (((i - j) + P) % P, P - 2);
		}
	}
}

int calc (int l, int r) {
	if (r - l + 1 <= n + 2) return brute(l, r);
	for (int i = 1; i <= n + 2; i ++) {
		lag.X[i] = i;
		lag.Y[i] = getC(l + i - 1);
		pls (lag.Y[i], lag.Y[i - 1]);
	}
	return lag.get(r);
}

void solve() {
	cin >> n;
	vector<int> p;
	lep (i, 1, n) cin >> L[i], p.push_back (L[i]);
	lep (i, 1, n) cin >> R[i], ++ R[i], p.push_back (R[i]);
	p.push_back (1);
	p.push_back (1e2 + 1);
	sort (p.begin(), p.end());
	p.erase (unique (p.begin(), p.end()), p.end());
	int ans = 0;
	for (int x : p) pls (ans, getC(x));
	for (int i = 0; i + 1 < (int) p.size(); i ++) {
		int l = p[i] + 1, r = p[i + 1] - 1;
		if (l > r) continue;
		pls (ans, calc(l, r));
	}
	cout << ans << '\n';
}

int main() {
	ios :: sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	int Case;
	cin >> Case;
	while (Case --) solve();
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3584kb

input:

10
5
5 1 4 3 2
14 2 5 3 2
5
4 5 1 2 3
13 7 1 2 3
5
5 2 5 3 1
10 2 12 3 2
5
5 5 3 1 5
57 5 3 1 5
5
2 2 3 3 5
4 5 4 4 5
5
4 5 3 5 3
13 7 3 5 3
5
5 1 4 2 3
14 3 4 2 3
5
1 2 5 4 5
2 8 5 7 5
5
1 1 3 5 1
8 2 3 8 1
5
4 4 4 2 3
5 10 5 2 3

output:

180
170
650
265
182
173
120
296
192
131

result:

ok 10 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

10
5
1 2 2 5 3
6 4 2 6 3
5
4 4 1 4 3
6 7 2 5 3
5
5 3 4 2 4
5 7 5 2 6
5
1 5 3 5 2
7 7 3 5 2
5
1 3 3 2 2
10 5 3 2 2
5
4 4 4 5 3
4 11 9 5 3
5
5 3 2 1 3
13 5 2 1 5
5
5 4 1 2 5
10 6 1 2 5
5
3 5 3 4 2
5 9 3 5 2
5
1 1 3 2 1
7 3 3 3 1

output:

120
230
144
110
110
289
324
89
140
122

result:

ok 10 lines

Test #3:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

10
5
3 1 3 4 4
9 1 3 10 4
5
1 1 3 1 1
9 1 3 3 1
5
5 1 2 3 1
74 1 2 3 1
5
2 5 5 3 4
5 6 8 3 4
5
2 1 3 4 5
2 4 6 4 5
5
2 4 2 1 3
2 11 3 2 3
5
1 5 4 4 2
1 14 6 6 2
5
4 1 3 5 1
9 2 4 5 1
5
4 1 2 4 4
6 1 6 4 4
5
3 2 5 3 5
8 8 5 3 5

output:

196
76
140
172
72
80
486
84
65
224

result:

ok 10 lines

Test #4:

score: -100
Wrong Answer
time: 0ms
memory: 3584kb

input:

10
5
676437428 903889545 700650370 965758082 146716866
676437431 903889567 700650370 965758082 146716866
5
517457740 64600397 388618400 783268973 388618400
517457797 64600397 388618400 783268973 388618400
5
971452763 106948541 259878781 537741075 9504353
971452780 106948544 259878781 537741075 95043...

output:

1104
290
720
1170
1596
792
720
588
1712
846

result:

wrong answer 1st lines differ - expected: '157838571', found: '1104'