oj.uz

Submission #272941

# Submission time Handle Problem Language Result Execution time Memory
272941 2020-08-18T21:07:08 Z jc713 Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 119 ms 127480 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;

using ll = long long;
using ld = long double;
using db = double;
using str = string;

using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;

using vi = vector<int>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vpd = vector<pd>;

using indexed_set = tree<pair<int, int>,null_type,less<pair<int, int>>,rb_tree_tag,
	tree_order_statistics_node_update>;

#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() //
#define rsz resize
#define ins insert //
#define ft front() //
#define bk back()
#define pf push_front //
#define pb push_back
#define eb emplace_back //
#define lb lower_bound //
#define ub upper_bound //

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5; //
const int IINF = 1e9;
const ll INF = 1e18; //
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; //
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); //
//
template<class T> bool ckmin(T& a, const T& b) { 
	return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { //
	return a < b ? a = b, 1 : 0; } //
constexpr int pct(int x) { return __builtin_popcount(x); } //
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) //
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
// IGNORE
ll half(ll x) { return fdiv(x,2); }

template<class T, class U> T fstTrue(T lo, T hi, U f) {
	hi ++; assert(lo <= hi); // assuming f is increasing
	while (lo < hi) { // find first index such that f is true 
		T mid = half(lo+hi);
		f(mid) ? hi = mid : lo = mid+1; 
	} 
	return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
	lo --; assert(lo <= hi); // assuming f is decreasing
	while (lo < hi) { // find first index such that f is true 
		T mid = half(lo+hi+1);
		f(mid) ? lo = mid : hi = mid-1;
	} 
	return lo;
}
template<class T> void remDup(vector<T>& v) { 
	sort(all(v)); v.erase(unique(all(v)),end(v)); }
// IGNORE

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);

template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }

template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }

// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) { 
	#ifdef LOCAL
		return b ? "true" : "false"; 
	#else 
		return ts((int)b);
	#endif
}
template<class A> str ts(complex<A> c) { 
	stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
	str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
	res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
	str res = ""; F0R(i,SZ) res += char('0'+b[i]);
	return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
	#ifdef LOCAL
		bool fst = 1; str res = "{";
		for (const auto& x: v) {
			if (!fst) res += ", ";
			fst = 0; res += ts(x);
		}
		res += "}"; return res;
	#else
		bool fst = 1; str res = "";
		for (const auto& x: v) {
			if (!fst) res += " ";
			fst = 0; res += ts(x);
		}
		return res;

	#endif
}
template<class A, class B> str ts(pair<A,B> p) {
	#ifdef LOCAL
		return "("+ts(p.f)+", "+ts(p.s)+")"; 
	#else
		return ts(p.f)+" "+ts(p.s);
	#endif
}

// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
	pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
	pr(h); if (sizeof...(t)) pr(" "); ps(t...); }

// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << ts(h); if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
	#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
	#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
		 << __FUNCTION__  << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
	#define dbg(...) 0
	#define chk(...) 0
#endif

// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(str s = "") {
	unsyncIO();
	// cin.exceptions(cin.failbit); 
	// throws exception when do smth illegal
	// ex. try to read letter into int
	if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}

/*template<class Fun>
class y_combinator_result {
	Fun fun_;
public:
	template<class T>
	explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
 
	template<class ...Args>
	decltype(auto) operator()(Args &&...args) {
		return fun_(std::ref(*this), std::forward<Args>(args)...);
	}
};
 
template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
	return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}*/

int main(){
	setIO();
	ll N, L;
	cin >> N >> L;
	vpl XT(N);
	F0R(a, N)
		cin >> XT[a].f;
	F0R(a, N)
		cin >> XT[a].s;
	vpl RXT = XT;
	F0R(a, N)
		RXT[a].f = L - RXT[a].f;
	reverse(all(RXT));
	XT.insert(XT.begin(), mp(0, INF));
	RXT.insert(RXT.begin(), mp(0, INF));
	ll dp[N + 1][N + 1][N + 1][2];//num left, num right, num stamps, left/right
	F0R(a, N + 1)
		F0R(b, N + 1)
			F0R(c, N + 1)
				fill(dp[a][b][c], dp[a][b][c] + 2, INF);
	priority_queue<pair<ll, pair<pi, pi>>> Q;
	dp[0][0][0][1] = 0;
	dp[0][0][0][0] = 0;
	int ma = 0;
	F0R(a, N + 1)
		F0R(b, N + 1){
			if(a + b > N)
				break;
			F0R(c, N + 1){
				if(c > a + b)
					break;
				if(a == 0 && b == 0)
					continue;
				if(a){
					if(dp[a - 1][b][c - 1][0] + RXT[a].f - RXT[a - 1].f <= RXT[a].s){
						dp[a][b][c][0] = min(dp[a][b][c][0], dp[a - 1][b][c - 1][0] + RXT[a].f - RXT[a - 1].f);
						if(dp[a - 1][b][c - 1][0] != INF)
							ma = max(ma, c);
					}
					if(dp[a - 1][b][c - 1][1] + RXT[a].f + XT[b].f <= RXT[a].s){
						dp[a][b][c][0] = min(dp[a][b][c][0], dp[a - 1][b][c - 1][1] + RXT[a].f + XT[b].f);
						if(dp[a - 1][b][c - 1][1] != INF)
							ma = max(ma, c);
					}
					if(dp[a - 1][b][c][0] + RXT[a].f - RXT[a - 1].f > RXT[a].s){
						dp[a][b][c][0] = min(dp[a][b][c][0], dp[a - 1][b][c][0] + RXT[a].f - RXT[a - 1].f);
						if(dp[a - 1][b][c][0] != INF)
							ma = max(ma, c);
					}
					if(dp[a - 1][b][c][1] + RXT[a].f + XT[b].f > RXT[a].s){
						dp[a][b][c][0] = min(dp[a][b][c][0], dp[a - 1][b][c][1] + RXT[a].f + XT[b].f);
						if(dp[a - 1][b][c][1] != INF)
							ma = max(ma, c);
					}
				}
				if(b){
					if(dp[a][b - 1][c - 1][0] + RXT[a].f + XT[b].f <= XT[b].s){
						dp[a][b][c][1] = min(dp[a][b][c][1], dp[a][b - 1][c - 1][0] + RXT[a].f + XT[b].f);
						if(dp[a][b - 1][c - 1][0] != INF)
							ma = max(ma, c);
					}
					if(dp[a][b - 1][c - 1][1] + XT[b].f - XT[b - 1].f <= XT[b].s){
						dp[a][b][c][1] = min(dp[a][b][c][1], dp[a][b - 1][c - 1][1] + XT[b].f - XT[b - 1].f);
						if(dp[a][b - 1][c - 1][1] != INF)
							ma = max(ma, c);
					}
					if(dp[a][b - 1][c][0] + RXT[a].f + XT[b].f > XT[b].s){
						dp[a][b][c][1] = min(dp[a][b][c][1], dp[a][b - 1][c][0] + RXT[a].f + XT[b].f);
						if(dp[a][b - 1][c][0] != INF)
							ma = max(ma, c);
					}
					if(dp[a][b - 1][c][1] + XT[b].f - XT[b - 1].f > XT[b].s){
						dp[a][b][c][1] = min(dp[a][b][c][1], dp[a][b - 1][c][1] + XT[b].f - XT[b - 1].f);
						if(dp[a][b - 1][c][1] != INF)
							ma = max(ma, c);
					}
				}
			}
		}
	cout << ma << endl;
}

Compilation message

ho_t3.cpp: In function 'void setIn(str)':
ho_t3.cpp:188:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  188 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
      |                     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
ho_t3.cpp: In function 'void setOut(str)':
ho_t3.cpp:189:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  189 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 0 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 73 ms 91704 KB Output is correct
19 Correct 36 ms 43264 KB Output is correct
20 Correct 14 ms 16896 KB Output is correct
21 Correct 39 ms 39680 KB Output is correct
22 Correct 47 ms 58624 KB Output is correct
23 Correct 11 ms 13312 KB Output is correct
24 Correct 8 ms 9344 KB Output is correct
25 Correct 11 ms 12928 KB Output is correct
26 Correct 3 ms 3200 KB Output is correct
27 Correct 12 ms 13824 KB Output is correct
28 Correct 8 ms 8320 KB Output is correct
29 Correct 12 ms 14200 KB Output is correct
30 Correct 8 ms 9984 KB Output is correct
31 Correct 11 ms 12928 KB Output is correct
32 Correct 5 ms 4992 KB Output is correct
33 Correct 11 ms 12928 KB Output is correct
34 Correct 3 ms 2944 KB Output is correct
35 Correct 10 ms 12544 KB Output is correct
36 Correct 4 ms 4224 KB Output is correct
37 Correct 12 ms 13824 KB Output is correct
38 Correct 5 ms 5760 KB Output is correct
39 Correct 12 ms 14592 KB Output is correct
40 Correct 6 ms 6656 KB Output is correct
41 Correct 102 ms 125560 KB Output is correct
42 Correct 55 ms 69376 KB Output is correct
43 Correct 99 ms 125560 KB Output is correct
44 Correct 54 ms 68216 KB Output is correct
45 Correct 110 ms 125572 KB Output is correct
46 Correct 56 ms 69376 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 392 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 0 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 73 ms 91704 KB Output is correct
37 Correct 36 ms 43264 KB Output is correct
38 Correct 14 ms 16896 KB Output is correct
39 Correct 39 ms 39680 KB Output is correct
40 Correct 47 ms 58624 KB Output is correct
41 Correct 11 ms 13312 KB Output is correct
42 Correct 8 ms 9344 KB Output is correct
43 Correct 11 ms 12928 KB Output is correct
44 Correct 3 ms 3200 KB Output is correct
45 Correct 12 ms 13824 KB Output is correct
46 Correct 8 ms 8320 KB Output is correct
47 Correct 12 ms 14200 KB Output is correct
48 Correct 8 ms 9984 KB Output is correct
49 Correct 11 ms 12928 KB Output is correct
50 Correct 5 ms 4992 KB Output is correct
51 Correct 11 ms 12928 KB Output is correct
52 Correct 3 ms 2944 KB Output is correct
53 Correct 10 ms 12544 KB Output is correct
54 Correct 4 ms 4224 KB Output is correct
55 Correct 12 ms 13824 KB Output is correct
56 Correct 5 ms 5760 KB Output is correct
57 Correct 12 ms 14592 KB Output is correct
58 Correct 6 ms 6656 KB Output is correct
59 Correct 102 ms 125560 KB Output is correct
60 Correct 55 ms 69376 KB Output is correct
61 Correct 99 ms 125560 KB Output is correct
62 Correct 54 ms 68216 KB Output is correct
63 Correct 110 ms 125572 KB Output is correct
64 Correct 56 ms 69376 KB Output is correct
65 Correct 87 ms 107768 KB Output is correct
66 Correct 77 ms 94840 KB Output is correct
67 Correct 76 ms 88672 KB Output is correct
68 Correct 63 ms 78584 KB Output is correct
69 Correct 85 ms 105976 KB Output is correct
70 Correct 82 ms 99452 KB Output is correct
71 Correct 80 ms 101112 KB Output is correct
72 Correct 95 ms 102776 KB Output is correct
73 Correct 89 ms 91768 KB Output is correct
74 Correct 83 ms 82808 KB Output is correct
75 Correct 92 ms 96248 KB Output is correct
76 Correct 107 ms 118268 KB Output is correct
77 Correct 97 ms 118264 KB Output is correct
78 Correct 76 ms 79992 KB Output is correct
79 Correct 69 ms 84296 KB Output is correct
80 Correct 94 ms 114680 KB Output is correct
81 Correct 76 ms 85736 KB Output is correct
82 Correct 86 ms 93236 KB Output is correct
83 Correct 98 ms 125560 KB Output is correct
84 Correct 89 ms 99608 KB Output is correct
85 Correct 101 ms 112888 KB Output is correct
86 Correct 86 ms 109560 KB Output is correct
87 Correct 87 ms 96248 KB Output is correct
88 Correct 116 ms 127480 KB Output is correct
89 Correct 119 ms 127480 KB Output is correct
90 Correct 88 ms 97912 KB Output is correct
91 Correct 116 ms 127480 KB Output is correct
92 Correct 103 ms 127480 KB Output is correct
93 Correct 103 ms 123896 KB Output is correct