Submission #601382

#	Time	Username	Problem	Language	Result	Execution time	Memory
601382		GusterGoose27	Vim (BOI13_vim)	C++11	48.06 / 100	323 ms	150972 KiB

vim

#include <bits/stdc++.h>

using namespace std;

const int MAXN = 70000;
const int inf = 1e9;
int n;
int dp[MAXN][1 << 9]; // dont return to i
int dq[MAXN]; // return to i
int elems[MAXN];
int nextocc[MAXN][10];
bool ise[MAXN];
int nextdp[9];
int avail[MAXN+1];

class stree {
public:
	stree *l = nullptr;
	stree *r = nullptr;
	int lp, rp;
	int mne;
	int cont_mask = 0;
	stree(int lv, int rv) {
		lp = lv;
		rp = rv;
		if (lp == rp) {
			if (ise[lp]) mne = lp;
			else mne = n;
			if (elems[lp] < 9) cont_mask = (1 << elems[lp]);
		}
		else {
			int m = (lp+rp)/2;
			l = new stree(lp, m);
			r = new stree(m+1, rp);
			mne = min(l->mne, r->mne);
			cont_mask = l->cont_mask | r->cont_mask;
		}
	}
	int query(int lv, int rv) {
		if (lp > rv || rp < lv) return n;
		if (lp >= lv && rp <= rv) return mne;
		return min(l->query(lv, rv), r->query(lv, rv));
	}
	int get_cont(int lv, int rv) {
		if (lp > rv || rp < lv) return 0;
		if (lp >= lv && rp <= rv) return cont_mask;
		return l->get_cont(lv, rv) | r->get_cont(lv, rv);
	}
};

void make_dp(int i, int pos = 0, int mask = 0, int best = inf) {
	if (pos == 9) {
		int other = inf;
		if ((mask & (1 << elems[i])) == 0) other = 2+dp[i][(1<<9)-1];
		dp[i][mask] = min(other, best);
		return;
	}
	make_dp(i, pos+1, mask+(1<<pos), min(best, nextdp[pos]));
	make_dp(i, pos+1, mask, best);
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n;
	string s; cin >> s;
	int nume = 0;
	for (int i = 0; i < n; i++) {
		int v = s[i]-'a';
		if (v == 4) {
			ise[i] = 1;
			v = 10;
		}
		if (v > 4) v--;
		elems[i] = v;
		nume += ise[i];
	}
	int seen[10];
	for (int i = 0; i < 10; i++) seen[i] = n;
	avail[n] = n;
	for (int i = n-1; i >= 0; i--) {
		for (int j = 0; j < 10; j++) nextocc[i][j] = seen[j];
		seen[elems[i]] = i;
		avail[i] = avail[i+1];
		if (elems[i] < 9) avail[i] = i;
	}
	stree *tree = new stree(0, n-1);
	for (int i = n-1; i >= 0; i--) {
		if (elems[i] == 9) continue;
		if (nextocc[i][9] == n) {
			for (int mask = 0; mask < (1<<9); mask++) {
				dp[i][mask] = 0;
			}
			dq[i] = 0;
			continue;
		}
		dq[i] = inf;
		for (int j = 0; j < 9; j++) {
			int nextpos = nextocc[i][j];
			if (nextpos == n) {
				nextdp[j] = inf;
				continue;
			}
			dq[i] = min(dq[i], dq[nextpos]+nextpos-i+2);
			int le = tree->query(i, nextpos);
			if (le == n) {
				nextdp[j] = 2+dp[nextpos][(1 << 9)-1];
				continue;
			}
			nextdp[j] = 2+nextpos-le;
			if (nextocc[nextpos][9] == n) continue;
			int allow = ((1 << 9)-1)^(tree->get_cont(avail[le]+1, nextpos));
			assert(((allow & (1 << elems[nextpos])) == 0) || (allow == ((1 << 9)-1)));
			nextdp[j] += min(dq[nextpos], dp[nextpos][allow]);
		}
		make_dp(i);
	}
	cout << (nume+dp[0][(1 << 9)-1]) << "\n";
}

• Subtask 1: 43.05555555555556 / 50
• Subtask 2: 5 / 10
• Subtask 3: 0 / 40