Codeforces 995 E - Number Clicker
思路:双向搜索
代码:
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pi acos(-1.0)
#define LL long long
//#define mp make_pair
#define pb push_back
#define ls rt<<1, l, m
#define rs rt<<1|1, m+1, r
#define ULL unsigned LL
#define pll pair<LL, LL>
#define pii pair<int, int>
#define piii pair<int,pii>
#define mem(a, b) memset(a, b, sizeof(a))
#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define fopen freopen("in.txt", "r", stdin);freopen("out.txt", "w", stout);
//head int MOD;
int u, v, p;
map<int, pii>mp;
LL q_pow(LL n, LL k) {
LL ans = ;
while(k) {
if(k&) ans = (ans * n) % MOD;
n = (n*n) % MOD;
k >>= ;
}
return ans;
}
void print(int pos1, int pos2, int ty, int tt) {
vector<int>vc;
if(ty == ) {
int t = pos1;
while(t != u) {
if(mp[t].fi == ) {
vc.pb();
t = (t + MOD - ) % MOD;
}
else if(mp[t].fi == ) {
t = (t + ) % MOD;
vc.pb();
}
else if(mp[t].fi == ) {
t = q_pow(t, MOD - ) % MOD;
vc.pb();
}
}
reverse(vc.begin(), vc.end());
vc.pb(tt);
t = pos2;
while(t != v) {
if(mp[t].fi == ) {
vc.pb();
t = (t + MOD - ) % MOD;
}
else if(mp[t].fi == ) {
t = (t + ) % MOD;
vc.pb();
}
else if(mp[t].fi == ) {
t = q_pow(t, MOD - ) % MOD;
vc.pb();
}
}
}
else {
int t = pos2;
while(t != u) {
if(mp[t].fi == ) {
vc.pb();
t = (t + MOD - ) % MOD;
}
else if(mp[t].fi == ) {
t = (t + ) % MOD;
vc.pb();
}
else if(mp[t].fi == ) {
t = q_pow(t, MOD - ) % MOD;
vc.pb();
}
}
reverse(vc.begin(), vc.end());
if(tt != )vc.pb(-tt);
else vc.pb(tt);
t = pos1;
while(t != v) {
if(mp[t].fi == ) {
vc.pb();
t = (t + MOD - ) % MOD;
}
else if(mp[t].fi == ) {
t = (t + ) % MOD;
vc.pb();
}
else if(mp[t].fi == ) {
t = q_pow(t, MOD - ) % MOD;
vc.pb();
}
}
}
//cout << pos1 << " " << pos2 << " " << ty << endl;
printf("%d\n", (int)vc.size());
for (int i = ; i < vc.size(); i++) printf("%d ", vc[i]);
}
int main() {
scanf("%d %d %d", &u, &v, &p);
MOD = p;
queue<pii>q;
if(u == v) return *puts("");
q.push({u, });
q.push({v, });
mp[u] = {u, };
mp[v] = {v, };
while(!q.empty()) {
pii p = q.front();
q.pop();
int a = (p.fi + ) % MOD;
if(mp.find(a) != mp.end() && mp[a].se != p.se) {
print(p.fi, a, p.se, );
break;
}
else if(mp.find(a) == mp.end()){
mp[a] = {, p.se};
q.push({a, p.se});
}
a = (p.fi + MOD - ) % MOD;
if(mp.find(a) != mp.end() && mp[a].se != p.se) {
print(p.fi, a, p.se, );
break;
}
else if(mp.find(a) == mp.end()){
mp[a] = {, p.se};
q.push({a, p.se});
}
a = q_pow(p.fi, MOD - ) % MOD;
if(mp.find(a) != mp.end() && mp[a].se != p.se) {
print(p.fi, a, p.se, );
break;
}
else if(mp.find(a) == mp.end()){
mp[a] = {, p.se};
q.push({a, p.se});
}
}
return ;
}
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