This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int MAX_N = 2e5 + 5;
void solve() {
int n, m;
cin >> n >> m;
int s[n+1], f[m], a[n+1];
for(int i=0; i<n; ++i) cin >> s[i];
for(int i=0; i<m; ++i) cin >> f[i];
int cnt = 0;
for(int i=0; i<=n; ++i) {
while(cnt<m && f[cnt] <= s[i]) ++cnt;
a[i] = cnt;
}
s[n] = INT_MAX;
vector<vector<int>>dp(n+1, vector<int>(3, INT_MAX)); // 0 - R, 1 - RL, 2 - RLL
vector<vector<int>>dp2(n+1, vector<int>(3, 0));
if(!a[0]) dp[0][0] = dp[0][1] = dp[0][2] = 0;
else dp[0][1] = dp[0][2] = abs(s[0]-f[0]);
for(int i=1; i<=n; ++i) {
int cnt = dp[i-1][0];
if(a[i]) cnt = max(cnt, abs(s[i-1] - f[a[i]-1]));
if(dp[i][0] >= cnt) dp[i][0] = cnt, dp2[i][0] = 0;
cnt = dp[i-1][1];
if(i >= 2 && a[i] && a[i-1] != a[i]) {
cnt = max(cnt, abs(s[i-2] - f[a[i]-1]));
if(dp[i][0] >= cnt) dp[i][0] = cnt, dp2[i][0] = 1;
} else if(a[i-1] == a[i]) {
if(dp[i][0] >= cnt) dp[i][0] = cnt, dp2[i][0] = 1;
}
cnt = dp[i-1][0];
int pos = upper_bound(f, f+m, s[i-1] + dp[i-1][0]) - f;
if(pos != m) cnt = max(cnt, s[i] - f[pos]);
if(dp[i][1] >= cnt) dp[i][1] = cnt, dp2[i][1] = 0;
cnt = dp[i-1][1];
if(i>=2) {
int pos = upper_bound(f, f+m, s[i-2] + dp[i-1][1]) - f;
pos = max(pos, a[i-1]);
if(pos != m) cnt = max(cnt, abs(s[i] - f[pos]));
}
if(dp[i][2] >= cnt) dp[i][2] = cnt, dp2[i][2] = 1;
}
int ans = dp[n][0];
if(ans == INT_MAX) ans = -1;
cout << ans << endl;
if(ans == -1) return;
string S = "";
int tmp = dp2[n][0];
for(int i=n-1; i>=0; --i) {
if(!tmp) S += 'R';
else S += 'L';
tmp = dp2[i][tmp];
}
reverse(S.begin(), S.end());
cout << S << endl;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
int t = 1;
while(t--) solve();
return 0;
}
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