HDU 4849(最短短絡水~)
6005 ワード
校試合以外にACM校チームへの加入を申請する方法はありますか?
Wow! Such City! Time Limit: 15000/8000 MS (Java/Others) Memory Limit: 102400/102400 K (Java/Others) Total Submission(s): 1453 Accepted Submission(s): 500
Problem Description
Doge, tired of being a popular image on internet, is considering moving to another city for a new way of life.
In his country there are N (2 ≤N≤ 1000) cities labeled 0 . . . N - 1. He is currently in city 0. Meanwhile, for each pair of cities, there exists a road connecting them, costing C
i,
j (a positive integer) for traveling from city i to city j. Please note that C
i,
j may not equal to C
j,
i for any given i ≠ j.
Doge is carefully examining the cities: in fact he will divide cities (his current city 0 is
NOT included) into M (2 ≤ M ≤ 10
6) categories as follow: If the minimal cost from his current city (labeled 0) to the city i is Di, city i belongs to category numbered
Di mod M.Doge wants to know the “minimal” category (a category with minimal number) which contains at least one city.
For example, for a country with 4 cities (labeled 0 . . . 3, note that city 0 is not considered), Doge wants to divide them into 3 categories. Suppose category 0 contains no city, category 1 contains city 2 and 3, while category 2 contains city 1, Doge consider category 1 as the minimal one.
Could you please help Doge solve this problem?
Note:
C
i,
j is generated in the following way:
Given integers X
0, X
1, Y
0, Y
1, (1 ≤ X
0, X
1, Y
0, Y
1≤ 1234567), for k ≥ 2 we have
Xk = (12345 + X
k-1 * 23456 + X
k-2 * 34567 + X
k-1 * X
k-2 * 45678) mod 5837501
Yk = (56789 + Y
k-1 * 67890 + Y
k-2 * 78901 + Y
k-1 * Y
k-2 * 89012) mod 9860381
The for k ≥ 0 we have
Z
k = (X
k * 90123 + Y
k ) mod 8475871 + 1
Finally for 0 ≤ i, j ≤ N - 1 we have
C
i,
j = Z
i*n+j for i ≠ j
C
i,
j = 0 for i = j
Input
There are several test cases. Please process till EOF.
For each test case, there is only one line containing 6 integers N,M,X
0,X
1,Y
0,Y
1.See the description for more details.
Output
For each test case, output a single line containing a single integer: the number of minimal category.
Sample Input
3 10 1 2 3 4
4 20 2 3 4 5
Sample Output
1
10
For the first test case, we have
0 1 2 3 4 5 6 7 8
X 1 2 185180 788997 1483212 4659423 4123738 2178800 219267
Y 3 4 1633196 7845564 2071599 4562697 3523912 317737 1167849
Z 90127 180251 1620338 2064506 625135 5664774 5647950 8282552 4912390
the cost matrix C is
0 180251 1620338
2064506 0 5664774
5647950 8282552 0
Hint
So the minimal cost from city 0 to city 1 is 180251, while the distance to city 2 is 1620338. Given M = 10, city 1 and city 2 belong to category 1 and 8 respectively. Since only category 1 and 8 contain at least one city, the minimal one of them, category 1, is the desired answer to Doge’s question.
题意:题目によってxyzの3つの配列を求めて、それから距离の行列を算出して、それから0から最もショートして、すべての対のショートモードmの后ですべての値の中を求めます
最小
裸题
#include <bits/stdc++.h>
using namespace std;
#define maxn 1111
long long n, m;
long long x[maxn*maxn], y[maxn*maxn], z[maxn*maxn];
long long mp[maxn][maxn];
long long d[maxn];
const long long INF = 1e18;
bool vis[maxn];
void dij () {
for (int i = 0; i < n; i++)
d[i] = INF;
memset (vis, 0, sizeof vis);
d[0] = 0;
for (int i = 0; i < n; i++) {
long long Min = INF, pos;
for (int j = 0; j < n; j++) if (!vis[j] && d[j] < Min) {
Min = d[j];
pos = j;
}
vis[pos] = 1;
for (int j = 0; j < n; j++) if (!vis[j]) {
d[j] = min (d[j], d[pos]+mp[pos][j]);
}
}
for (int i = 0; i < n; i++) d[i] %= m;
long long ans = d[1];
//for (int i = 0; i < n; i++) cout << d[i] << endl;
for (int i = 1; i < n; i++) {
ans = min (ans, d[i]);
}
cout << ans << endl;
}
int main () {
//freopen ("in.txt", "r", stdin);
while (cin >> n >> m >> x[0] >> x[1] >> y[0] >> y[1]) {
for (int i = 0; i < n*n; i++) {
if (i >= 2)
x[i] = (12345 + x[i-1] * 23456 + x[i-2] * 34567 + x[i-1] * x[i-2] * 45678) % 5837501;
if (i >= 2)
y[i] = (56789 + y[i-1] * 67890 + y[i-2] * 78901 + y[i-1] * y[i-2] * 89012) % 9860381;
z[i] = (x[i]*90123 + y[i]) % 8475871 + 1;
}
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
if (i == j)
mp[i][j] = 0;
else
mp[i][j] = z[i*n+j];
}
}
dij ();
}
return 0;
}