#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define conts continue
#define ff first
#define ss second
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define sz(a) (int)a.size()
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &x, T y){
x = min(x,y);
}
template<typename T>
void amax(T &x, T y){
x = max(x,y);
}
template<typename A,typename B>
string to_string(pair<A,B> p);
string to_string(const string &s){
return "'"+s+"'";
}
string to_string(const char *s){
return to_string((string)s);
}
string to_string(bool b){
return b?"true":"false";
}
template<typename A>
string to_string(A v){
string res = "{";
trav(x,v){
res += to_string(x)+",";
}
if(res.back() == ',') res.pop_back();
res += "}";
return res;
}
template<typename A,typename B>
string to_string(pair<A,B> p){
return "("+to_string(p.ff)+","+to_string(p.ss)+")";
}
#define debug(x) cout << #x << " = "; cout << to_string(x) << endl
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = 1e9 + 5;
const ll inf2 = (ll)1e18 + 5;
void solve(int test_case){
ll n,m; cin >> n >> m;
vector<ll> a(n+5), b(m+5);
rep1(i,n) cin >> a[i], a[i]++;
rep1(i,m) cin >> b[i], b[i]++;
// sort(a.begin()+1,a.begin()+n+1);
// sort(b.begin()+1,b.begin()+m+1);
rep1(i,m){
if(binary_search(a.begin()+1,a.begin()+n+1,b[i])){
b[i] = -1;
}
}
vector<ll> b2(m+5);
ll ptr = 1;
rep1(i,m){
if(b[i] != -1){
b2[ptr++] = b[i];
}
}
b = b2;
m = ptr-1;
vector<array<ll,3>> c;
rep1(i,n) c.pb({a[i],i,1});
rep1(i,m){
if(b[i] != -1){
c.pb({b[i],i,2});
}
}
sort(all(c));
ll siz = sz(c);
vector<char> ans(n+5,'?');
auto ok = [&](ll mid, bool construct){
vector<ll> dp1(m+5,-inf2);
vector<ll> last_set(m+5);
vector<pll> par(siz+5,{-1,-1});
dp1[0] = 0;
ll ind = -1;
ll prev_ok = -1;
ll timer = 1;
pll active_val = {-1,-1};
set<ll> active;
for(auto [x,i,t] : c){
ind++;
ll mxj = 0;
if(t == 1){
pll mx = {-inf2,-1};
ll first_big = lower_bound(b.begin()+1,b.begin()+m+1,a[i]-mid)-b.begin();
{
auto it = active.lower_bound(first_big);
if(it != active.end()){
ll j = *it;
ll val = dp1[j];
if(active_val.ss >= last_set[j]){
val = active_val.ff;
}
mx = {val,j};
}
}
active_val = {a[i]+mid,timer++};
// turn right
if(dp1[0] >= 0){
dp1[0] = a[i]+mid;
last_set[0] = timer++;
}
// turn left
if(mx.ff > dp1[0]){
dp1[0] = mx.ff;
par[ind] = {0,mx.ss};
last_set[0] = timer++;
}
}
else{
if(dp1[0] >= x) conts;
dp1[i] = dp1[0];
active.insert(i);
last_set[i] = timer++;
dp1[0] = -inf2;
last_set[0] = timer++;
par[ind] = {i,0};
mxj = i;
}
}
// cout << endl << endl << endl;
if(construct){
ll j = 0;
rev(ind,siz-1,0){
if(par[ind].ff == j){
ll j2 = par[ind].ss;
if(c[ind][2] == 1){
ll i = c[ind][1];
assert(j == 0 and j2 > j);
ans[i] = 'L';
}
j = j2;
}
else{
if(c[ind][2] == 1){
ll i = c[ind][1];
ans[i] = 'R';
}
}
}
assert(!j);
}
return dp1[0] >= 0;
};
ll lo = 0, hi = inf1;
ll best = -1;
while(lo <= hi){
ll mid = (lo+hi) >> 1;
if(ok(mid,0)){
best = mid;
hi = mid-1;
}
else{
lo = mid+1;
}
}
cout << best << endl;
if(best == -1) return;
ok(best,1);
rep1(i,n) cout << ans[i];
cout << endl;
rep1(i,m){
if(b[i] == -1) conts;
ll x = b[i];
bool good = false;
rep1(j,n){
ll l = -1, r = -1;
if(ans[j] == 'R'){
l = a[j], r = a[j]+best;
}
else{
l = a[j]-best, r = a[j];
}
if(l <= x and x <= r){
good = true;
break;
}
}
if(!good){
assert(0);
}
}
}
int main(){
int t = 1;
// cin >> t;
rep1(i,t){
solve(i);
}
return 0;
}
Compilation message
Main.cpp: In lambda function:
Main.cpp:123:7: warning: variable 'mxj' set but not used [-Wunused-but-set-variable]
123 | ll mxj = 0;
| ^~~
Main.cpp:116:7: warning: unused variable 'prev_ok' [-Wunused-variable]
116 | ll prev_ok = -1;
| ^~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Correct |
| 2 |
Correct |
0 ms |
348 KB |
Correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Correct |
| 2 |
Correct |
402 ms |
10748 KB |
Correct |
| 3 |
Correct |
1 ms |
344 KB |
Correct |
| 4 |
Correct |
494 ms |
12996 KB |
Correct |
| 5 |
Correct |
490 ms |
13032 KB |
Correct |
| 6 |
Correct |
0 ms |
436 KB |
Correct |
| 7 |
Correct |
0 ms |
348 KB |
Correct |
| 8 |
Correct |
72 ms |
2812 KB |
Correct |
| 9 |
Correct |
1 ms |
348 KB |
Correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Correct |
| 2 |
Correct |
279 ms |
11600 KB |
Correct |
| 3 |
Runtime error |
26 ms |
2564 KB |
Execution killed with signal 6 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Correct |
| 2 |
Correct |
0 ms |
348 KB |
Correct |
| 3 |
Correct |
1 ms |
348 KB |
Correct |
| 4 |
Correct |
1 ms |
348 KB |
Correct |
| 5 |
Runtime error |
3 ms |
700 KB |
Execution killed with signal 6 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Correct |
| 2 |
Correct |
885 ms |
11344 KB |
Correct |
| 3 |
Runtime error |
413 ms |
32944 KB |
Execution killed with signal 6 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Correct |
| 2 |
Correct |
0 ms |
348 KB |
Correct |
| 3 |
Correct |
402 ms |
10748 KB |
Correct |
| 4 |
Correct |
1 ms |
344 KB |
Correct |
| 5 |
Correct |
494 ms |
12996 KB |
Correct |
| 6 |
Correct |
490 ms |
13032 KB |
Correct |
| 7 |
Correct |
0 ms |
436 KB |
Correct |
| 8 |
Correct |
0 ms |
348 KB |
Correct |
| 9 |
Correct |
72 ms |
2812 KB |
Correct |
| 10 |
Correct |
1 ms |
348 KB |
Correct |
| 11 |
Correct |
279 ms |
11600 KB |
Correct |
| 12 |
Runtime error |
26 ms |
2564 KB |
Execution killed with signal 6 |
| 13 |
Halted |
0 ms |
0 KB |
- |
