【BZOJ 2118】墨墨的等式





给定$a,b,c(a,b,c \le 10^5)$,规定$x,y,z \in \mathbb{N}$

我们不妨在$\bmod c$的意义下做,这样就可以只考虑$0 \sim c-1$
这样就可以求出在$\bmod c$的剩余系中,每一个等价类最早出现的位置



#define LL long long
using namespace std;

const int N = 500009;
const int M = N * 12;
const LL INF = 1e17;

int n,a[N],done[N];
int nxt[M],to[M],cost[M],head[N];
LL dis[N],bmn,bmx,mn=INF;
priority_queue<pair<LL,int> > que;

inline void AddEdge(int u, int v, int c) {
	static int E = 1; cost[++E] = c;
	to[E] = v; nxt[E] = head[u]; head[u] = E;

inline int read() {
	char c=getchar(); int f=1,ret=0;
	while (c<'0'||c>'9') {if(c=='-')f=-1;c=getchar();}
	while (c<='9'&&c>='0') {ret=ret*10+c-'0';c=getchar();}
	return ret * f;

inline void Dijkstra() {
	for (int i=0;i<mn;i++) dis[i] = INF;
	dis[0] = 0; que.push(make_pair(0, 0));
	while (!que.empty()) {
		int w = que.top().second; que.pop();
		if (done[w]) continue; else done[w] = 1;
		for (int i=head[w];i;i=nxt[i]) {
			if (dis[to[i]] > dis[w] + cost[i]) {
				dis[to[i]] = dis[w] + cost[i];
				que.push(make_pair(-dis[to[i]], to[i]));

inline LL cal(LL lim) {
	LL ret = 0, tmp;
	for (int i=0;i<mn;i++) {
		if (lim < dis[i]) continue;
		ret += (lim - dis[i]) / mn + 1;
	return ret;

int main() {
	n = read(); cin>>bmn>>bmx;
	for (int i=1;i<=n;i++) {
		a[i] = read();
		if (a[i]) mn = min(mn, (LL)a[i]);
	for (int i=1;i<=n;i++) {
		if (a[i] == mn) continue;
		for (int j=0;j<mn;j++) {
			AddEdge(j, (j+a[i])%mn, a[i]);
	return 0;

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