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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 Replacement | 000226 | WA | 1ms | 3712kb | C++17 | 2.6kb | 2025-01-17 11:31:30 | 2025-01-17 11:31:31 |
Judging History
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;
}
详细
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'