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【BZOJ 2118】墨墨的等式

2016-08-18 09:47 465 查看
http://www.lydsy.com/JudgeOnline/problem.php?id=2118

最短路就是为了找到最小的$x$满足$x=k×a_{min}+d,0≤d<a_{min}$

#include<queue>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 500003;
int in() {
int k = 0, fh = 1; char c = getchar();
for(; c < '0' || c > '9'; c = getchar())
if (c == '-') fh = -1;
for(; c >= '0' && c <= '9'; c = getchar())
k = (k << 3) + (k << 1) + c - '0';
return k * fh;
}
ll inll() {
ll k = 0; int fh = 1; char c = getchar();
for(; c < '0' || c > '9'; c = getchar())
if (c == '-') fh = -1;
for(; c >= '0' && c <= '9'; c = getchar())
k = (k << 3) + (k << 1) + c - '0';
return k * fh;
}

struct node {
int nxt, to, w;
} E[N * 12];
struct Point {
int id; ll dist;
Point(int _id = 0, ll _dist = 0) : id(_id), dist(_dist) {}
bool operator < (const Point &A) const {
return dist > A.dist;
}
};
ll dist
, Bmin, Bmax;
bool inq
;
int p, n, a[13], cnt = 0, point
;

void ins(int u, int v, int w) {E[++cnt] = (node) {point[u], v, w}; point[u] = cnt;}

void dijkstra(int s) {
for(int i = 1; i < p; ++i) dist[i] = 2500000000000ll;
dist[s] = 0;
priority_queue <Point> q;
q.push(Point(s, 0));
Point u;
while (!q.empty()) {
u = q.top(); q.pop();
if (inq[u.id]) continue;
inq[u.id] = true;
for(int i = point[u.id]; i; i = E[i].nxt)
if (u.dist + E[i].w < dist[E[i].to]) {
dist[E[i].to] = u.dist + E[i].w;
q.push(Point(E[i].to, dist[E[i].to]));
}
}
}

ll solve(ll x) {
ll ret = 0;
for(int i = 0; i < p; ++i)
if (x >= dist[i]) ret += (x - dist[i]) / p + 1;
return ret;
}

int main() {
n = in(); Bmin = inll(); Bmax = inll();
for(int i = 1; i <= n; ++i) a[i] = in();
sort(a + 1, a + n + 1);
p = a[1];
for(int i = 0; i < p; ++i)
for(int j = 2; j <= n; ++j)
ins(i, (i + a[j]) % p, a[j]);
dijkstra(0);
printf("%lld\n", solve(Bmax) - solve(Bmin - 1));
return 0;
}


堆优化dijkstra模板↑
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