Submission #327999

# Submission time Handle Problem Language Result Execution time Memory
327999 2020-11-15T08:31:59 Z vivaan_gupta Solar Storm (NOI20_solarstorm) C++14
62 / 100
2000 ms 76536 KB
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
using ld = long double;
using db = double; 
using str = string; // yay python!
 
using pi = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
 
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>; 
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>; 
using vpd = vector<pd>;
 
#define tcT template<class T
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>; 
tcT, size_t SZ> using AR = array<T,SZ>; 
 
// pairs
#define mp make_pair
#define f first
#define s second
 
// vectors
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() 
#define sor(x) sort(all(x)) 
#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 
 
// loops
#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 ll INF = 1e18; // not too close to LLONG_MAX
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 
 
// helper funcs
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
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
 
tcT> bool ckmin(T& a, const T& b) {
	return b < a ? a = b, 1 : 0; } // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
	return a < b ? a = b, 1 : 0; }
 
#define tcTU tcT, class U
tcTU> 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 = lo+(hi-lo)/2;
		f(mid) ? hi = mid : lo = mid+1; 
	} 
	return lo;
}
tcTU> 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 = lo+(hi-lo+1)/2;
		f(mid) ? lo = mid : hi = mid-1;
	} 
	return lo;
}
tcT> void remDup(vector<T>& v) { // sort and remove duplicates
	sort(all(v)); v.erase(unique(all(v)),end(v)); }
tcTU> void erase(T& t, const U& u) { // don't erase
	auto it = t.find(u); assert(it != end(t));
	t.erase(u); } // element that doesn't exist from (multi)set
 
// INPUT
#define tcTUU tcT, class ...U
tcT> void re(complex<T>& c);
tcTU> void re(pair<T,U>& p);
tcT> void re(vector<T>& v);
tcT, size_t SZ> void re(AR<T,SZ>& a);
 
tcT> 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); }
tcTUU> void re(T& t, U&... u) { re(t); re(u...); }
 
tcT> void re(complex<T>& c) { T a,b; re(a,b); c = {a,b}; }
tcTU> void re(pair<T,U>& p) { re(p.f,p.s); }
tcT> void re(vector<T>& x) { trav(a,x) re(a); }
tcT, size_t SZ> void re(AR<T,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
}
tcT> str ts(complex<T> 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; }
tcTU> str ts(pair<T,U> p);
tcT> 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
}
tcTU> str ts(pair<T,U> p) {
	#ifdef LOCAL
		return "("+ts(p.f)+", "+ts(p.s)+")"; 
	#else
		return ts(p.f)+" "+ts(p.s);
	#endif
}
 
// OUTPUT
tcT> void pr(T x) { cout << ts(x); }
tcTUU> void pr(const T& t, const U&... u) { 
	pr(t); pr(u...); }
void ps() { pr("\n"); } // print w/ spaces
tcTUU> void ps(const T& t, const U&... u) { 
	pr(t); if (sizeof...(u)) pr(" "); ps(u...); }
 
// DEBUG
void DBG() { cerr << "]" << endl; }
tcTUU> void DBG(const T& t, const U&... u) {
	cerr << ts(t); if (sizeof...(u)) cerr << ", ";
	DBG(u...); }
#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() { cin.tie(0)->sync_with_stdio(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
}
#define int ll
const int N = 1e6+5;
int d[N],v[N];
int pref[N];
int val[N];
int le[N],ri[N];
int lef[N],rig[N];
int dist(int i,int j){
	return pref[i] - pref[j];
}
signed main() {
	setIO();	
	int n,s,k;
	re(n,s,k);
	FOR(i,1,n) re(d[i]);
	FOR(i,1,n+1) re(v[i]);
	FOR(i,2,n+1){
		pref[i] = pref[i-1] + d[i-1];
	}
	FOR(i,1,n+1)val[i]=val[i-1]+v[i];
	int ans = -1;
	vl best_pos;
	FOR(i,1,n+1){
		// put a shield at i
		int f = INF;
		int l = 1,r = i;
		while(l <= r){
			int m = (l+r)>>1ll;
			if(dist(i,m) <= k){
				f = min(f, m);
				r = m - 1;
			}
			else l = m+1;
		};
		le[i]=f;
		f = -INF;
		l = i,r = n;
		while(l <= r){
			int m = (l+r)>>1ll;
			if(dist(m,i) <= k){
				f = max(f, m);
				l = m + 1;
			}
			else r = m-1;
		}
		ri[i]=f;
	}
	FOR(i,1,n+1){
		assert(le[i] != INF && ri[i] != -INF);
		// cout << i << " : " << le[i] << " " << ri[i] << endl;

	}
	FOR(i,1,n+1){
		int cur = i;
		int l = cur,r =n;
		int fin = -1;
		while(l <= r){
			int m = (l + r) >> 1ll;
			if(le[m] <= cur){
				fin = max(fin,m);
				l = m+1;
			}
			else r = m-1;
		}
		rig[i] = fin;

	}
	FOR(i,1,n+1){
		int cur = i;
		int l = 1,r = cur;
		int fin = INF;
		while(l <= r){
			int mid =(l+r)>>1ll;
			if(ri[mid] >= cur){
				fin = min(fin,mid);
				r = mid - 1;
			}
			else l = mid + 1;
		}
		lef[i] = fin;
	}


	FOR(i,1,n+1){
		// start putting here
		int tmp = s;
		int cur = i;
		int L = le[i],R=-1;
		vl put;
		while(tmp > 0){
			put.pb(cur);
			cur = ri[cur] + 1;
			R = max(R,cur-1);
			if(cur>n)break;
			cur=rig[cur];
			tmp--;
			if(cur > n) break;
		}	
		R= min(R,n);
		assert(R != -1);
		if((val[R] - val[L-1]) > ans){
			ans = val[R] - val[L-1];
			best_pos = put;
		}
	}
	ROF(i,1,n+1){
		// start putting here
		int tmp = s;
		int cur = i;
		int L = INF,R=ri[i];
		vl put;
		while(tmp > 0){
			put.pb(cur);
			cur = le[cur] - 1;
			L = min(L,cur+1);
			if(cur < 1) break;
			cur=lef[cur];
			tmp--;
			if(cur < 1) break;
		}	
		L= max(L,1ll);
		assert(L != INF);
		if((val[R] - val[L-1]) > ans){
			ans = val[R] - val[L-1];
			best_pos = put;
		}
	}
	
	assert(ans != -1);
	assert(sz(best_pos) <= s);
	sort(all(best_pos));
	cout << sz(best_pos) << endl;
	trav(x,best_pos) cout << x << " ";
	cout << endl;
	
	// you should actually read the stuff at the bottom
}
  
/* stuff you should look for
	* read the probem 3 more times in case of WA :)
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
	* DON'T GET STUCK ON ONE APPROACH
*/

Compilation message

SolarStorm.cpp: In function 'void setIn(str)':
SolarStorm.cpp:182:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  182 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
      |                     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
SolarStorm.cpp: In function 'void setOut(str)':
SolarStorm.cpp:183:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
  183 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
      |                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 6 ms 1004 KB Output is correct
3 Correct 4 ms 1004 KB Output is correct
4 Correct 3 ms 620 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 3 ms 876 KB Output is correct
7 Correct 3 ms 1004 KB Output is correct
8 Correct 5 ms 1004 KB Output is correct
9 Correct 3 ms 884 KB Output is correct
10 Correct 5 ms 1004 KB Output is correct
11 Correct 4 ms 1004 KB Output is correct
12 Correct 2 ms 620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 298 ms 54124 KB Output is correct
2 Correct 226 ms 34540 KB Output is correct
3 Correct 241 ms 36972 KB Output is correct
4 Correct 218 ms 40300 KB Output is correct
5 Correct 302 ms 47212 KB Output is correct
6 Correct 333 ms 62828 KB Output is correct
7 Correct 243 ms 41580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 6 ms 1004 KB Output is correct
3 Correct 4 ms 1004 KB Output is correct
4 Correct 3 ms 620 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 3 ms 876 KB Output is correct
7 Correct 3 ms 1004 KB Output is correct
8 Correct 5 ms 1004 KB Output is correct
9 Correct 3 ms 884 KB Output is correct
10 Correct 5 ms 1004 KB Output is correct
11 Correct 4 ms 1004 KB Output is correct
12 Correct 2 ms 620 KB Output is correct
13 Correct 298 ms 54124 KB Output is correct
14 Correct 226 ms 34540 KB Output is correct
15 Correct 241 ms 36972 KB Output is correct
16 Correct 218 ms 40300 KB Output is correct
17 Correct 302 ms 47212 KB Output is correct
18 Correct 333 ms 62828 KB Output is correct
19 Correct 243 ms 41580 KB Output is correct
20 Correct 221 ms 34540 KB Output is correct
21 Correct 239 ms 42220 KB Output is correct
22 Correct 296 ms 50028 KB Output is correct
23 Correct 288 ms 51564 KB Output is correct
24 Correct 321 ms 46572 KB Output is correct
25 Correct 372 ms 46572 KB Output is correct
26 Correct 266 ms 34796 KB Output is correct
27 Correct 303 ms 44524 KB Output is correct
28 Correct 312 ms 44268 KB Output is correct
29 Correct 389 ms 57224 KB Output is correct
30 Correct 315 ms 46956 KB Output is correct
31 Correct 272 ms 41472 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 2041 ms 68552 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 6 ms 1004 KB Output is correct
3 Correct 4 ms 1004 KB Output is correct
4 Correct 3 ms 620 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 3 ms 876 KB Output is correct
7 Correct 3 ms 1004 KB Output is correct
8 Correct 5 ms 1004 KB Output is correct
9 Correct 3 ms 884 KB Output is correct
10 Correct 5 ms 1004 KB Output is correct
11 Correct 4 ms 1004 KB Output is correct
12 Correct 2 ms 620 KB Output is correct
13 Correct 5 ms 1004 KB Output is correct
14 Correct 10 ms 876 KB Output is correct
15 Correct 19 ms 876 KB Output is correct
16 Correct 6 ms 748 KB Output is correct
17 Correct 10 ms 876 KB Output is correct
18 Correct 8 ms 1004 KB Output is correct
19 Correct 10 ms 876 KB Output is correct
20 Correct 13 ms 876 KB Output is correct
21 Correct 883 ms 1396 KB Output is correct
22 Correct 138 ms 1252 KB Output is correct
23 Correct 11 ms 1132 KB Output is correct
24 Correct 79 ms 1132 KB Output is correct
25 Correct 295 ms 1132 KB Output is correct
26 Correct 326 ms 1260 KB Output is correct
27 Correct 124 ms 1152 KB Output is correct
28 Correct 163 ms 1004 KB Output is correct
29 Correct 298 ms 1280 KB Output is correct
30 Correct 5 ms 1132 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 6 ms 1004 KB Output is correct
3 Correct 4 ms 1004 KB Output is correct
4 Correct 3 ms 620 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 3 ms 876 KB Output is correct
7 Correct 3 ms 1004 KB Output is correct
8 Correct 5 ms 1004 KB Output is correct
9 Correct 3 ms 884 KB Output is correct
10 Correct 5 ms 1004 KB Output is correct
11 Correct 4 ms 1004 KB Output is correct
12 Correct 2 ms 620 KB Output is correct
13 Correct 298 ms 54124 KB Output is correct
14 Correct 226 ms 34540 KB Output is correct
15 Correct 241 ms 36972 KB Output is correct
16 Correct 218 ms 40300 KB Output is correct
17 Correct 302 ms 47212 KB Output is correct
18 Correct 333 ms 62828 KB Output is correct
19 Correct 243 ms 41580 KB Output is correct
20 Correct 221 ms 34540 KB Output is correct
21 Correct 239 ms 42220 KB Output is correct
22 Correct 296 ms 50028 KB Output is correct
23 Correct 288 ms 51564 KB Output is correct
24 Correct 321 ms 46572 KB Output is correct
25 Correct 372 ms 46572 KB Output is correct
26 Correct 266 ms 34796 KB Output is correct
27 Correct 303 ms 44524 KB Output is correct
28 Correct 312 ms 44268 KB Output is correct
29 Correct 389 ms 57224 KB Output is correct
30 Correct 315 ms 46956 KB Output is correct
31 Correct 272 ms 41472 KB Output is correct
32 Correct 353 ms 55016 KB Output is correct
33 Correct 364 ms 42264 KB Output is correct
34 Correct 1717 ms 57920 KB Output is correct
35 Correct 1342 ms 42348 KB Output is correct
36 Correct 902 ms 45540 KB Output is correct
37 Correct 799 ms 50028 KB Output is correct
38 Correct 1524 ms 75988 KB Output is correct
39 Correct 890 ms 57104 KB Output is correct
40 Correct 1630 ms 76536 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 6 ms 1004 KB Output is correct
3 Correct 4 ms 1004 KB Output is correct
4 Correct 3 ms 620 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 3 ms 876 KB Output is correct
7 Correct 3 ms 1004 KB Output is correct
8 Correct 5 ms 1004 KB Output is correct
9 Correct 3 ms 884 KB Output is correct
10 Correct 5 ms 1004 KB Output is correct
11 Correct 4 ms 1004 KB Output is correct
12 Correct 2 ms 620 KB Output is correct
13 Correct 298 ms 54124 KB Output is correct
14 Correct 226 ms 34540 KB Output is correct
15 Correct 241 ms 36972 KB Output is correct
16 Correct 218 ms 40300 KB Output is correct
17 Correct 302 ms 47212 KB Output is correct
18 Correct 333 ms 62828 KB Output is correct
19 Correct 243 ms 41580 KB Output is correct
20 Correct 221 ms 34540 KB Output is correct
21 Correct 239 ms 42220 KB Output is correct
22 Correct 296 ms 50028 KB Output is correct
23 Correct 288 ms 51564 KB Output is correct
24 Correct 321 ms 46572 KB Output is correct
25 Correct 372 ms 46572 KB Output is correct
26 Correct 266 ms 34796 KB Output is correct
27 Correct 303 ms 44524 KB Output is correct
28 Correct 312 ms 44268 KB Output is correct
29 Correct 389 ms 57224 KB Output is correct
30 Correct 315 ms 46956 KB Output is correct
31 Correct 272 ms 41472 KB Output is correct
32 Execution timed out 2041 ms 68552 KB Time limit exceeded
33 Halted 0 ms 0 KB -