# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1173603 | CrabCNH | Building 4 (JOI20_building4) | C++20 | 119 ms | 251520 KiB |
#include <bits/stdc++.h>
#define task "BriantheCrab"
#define int long long
#define pii pair <int, int>
#define fi first
#define se second
#define szf sizeof
#define sz(s) (int)((s).size())
using namespace std;
template <class T> void mini (T &t, T f) {if (t > f) t = f;}
template <class T> void maxi (T &t, T f) {if (t < f) t = f;}
const int maxN = 4e3 + 5;
const int inf = 1e18 + 7;
const int mod = 1e9 + 7;
int a[maxN], b[maxN];
int dp[2][maxN / 2][2];
pii trace[maxN][maxN / 2][2];
void solve () {
int n;
cin >> n;
for (int i = 1; i <= 2 * n; i ++) {
cin >> a[i];
}
for (int i = 1; i <= 2 * n; i ++) {
cin >> b[i];
}
for (int i = 1; i <= 2 * n; i ++) {
dp[0][i][0] = dp[1][i][0] = dp[1][i][0] = dp[1][i][1] = 0;
}
memset (trace, -1, szf (trace));
dp[1][0][0] = dp[1][1][1] = 1;
for (int i = 2; i <= 2 * n; i ++) {
int cur = i & 1;
int prev = 1 - cur;
for (int curA = 0; curA <= n; curA ++) {
dp[cur][curA][0] = dp[cur][curA][1] = 0;
if (a[i] >= a[i - 1] && curA - 1 >= 0) {
if (dp[prev][curA - 1][1]) {
dp[cur][curA][1] = 1;
trace[i][curA][1] = {curA - 1, 1};
}
}
if (a[i] >= b[i - 1] && curA - 1 >= 0) {
if (dp[prev][curA - 1][0]) {
dp[cur][curA][1] = 1;
trace[i][curA][1] = {curA - 1, 0};
}
}
if (b[i] >= a[i - 1] && dp[prev][curA][1]) {
dp[cur][curA][0] = 1;
trace[i][curA][0] = {curA, 1};
}
if (b[i] >= b[i - 1] && dp[prev][curA][0]) {
dp[cur][curA][0] = 1;
trace[i][curA][0] = {curA, 0};
}
//cout << i << ' ' << curA << ' ' << dp[cur][curA][0] << ' ' << dp[cur][curA][1] << '\n';
}
}
int nT = (2 * n), aT = n;
bool tT;
//cout << max (dp[(2 * n) & 1][n][0], dp[(2 * n) & 1][n][1]);
if (dp[(2 * n) & 1][n][0] == 1) {
tT = 0;
}
else if (dp[(2 * n) & 1][n][1] == 1){
tT = 1;
}
else {
cout << -1;
return;
}
string res = "";
//cout << trace[nT][aT][tT].fi << '\n';
while (nT >= 1) {
//cout << nT << ' ' << aT << ' ' << tT << '\n';
res += (tT ? "A" : "B");
auto [aTT, tTT] = trace[nT][aT][tT];
nT = nT - 1;
aT = aTT;
tT = tTT;
}
reverse (res.begin (), res.end ());
cout << res;
}
signed main () {
cin.tie (nullptr) -> sync_with_stdio (false);
if (fopen (task".inp", "r")) {
freopen (task".inp", "r", stdin);
freopen (task".out", "w", stdout);
}
int t = 1;
//cin >> t;
while (t --) {
solve ();
}
return 0;
}
// thfdgb
Compilation message (stderr)
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