oj.uz

Submission #253732

# Submission time Handle Problem Language Result Execution time Memory
253732 2020-07-28T15:18:31 Z b00n0rp Triple Jump (JOI19_jumps) C++17
100 / 100
 3068 ms 126560 KB 
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------

#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("Ofast,unroll-loops")
/*
*/ 

// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/

#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#define TRACE
 
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 500005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;

// -----------------------</Consts>-----------------------

/*

// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------

template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/

// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO

    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES) \
    cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM) \
        printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n,q;
int a[MAXN],b[MAXN],c[MAXN];
int ans[MAXN];
pair<pii,int> quer[MAXN];

bool cmp(pair<pii,int> x, pair<pii,int> y){
    return x.F.S < y.F.S;
}
vpii v;
vpii trigger[MAXN];

pii seg[4*MAXN];
int lazy[4*MAXN];

void push(int node,int l,int r){
	if(l != r){
		remax(lazy[node*2],lazy[node]);
		remax(lazy[node*2+1],lazy[node]);
	}
	remax(seg[node].S,seg[node].F+lazy[node]);
	lazy[node] = 0;
}

void upd1(int node,int l,int r,int pos,int val){
	push(node,l,r);
	if(l > pos or r < pos) return;
	if(l == r){
		remax(seg[node].F,val);
		return;
	}
	int m = (l+r)/2;
	upd1(2*node,l,m,pos,val);
	upd1(2*node+1,m+1,r,pos,val);
	seg[node].F = max(seg[2*node].F,seg[2*node+1].F);
	seg[node].S = max(seg[2*node].S,seg[2*node+1].S);
	// trace(1,node,l,r,seg[node].F,seg[node].S);
}

void upd2(int node,int l,int r,int x,int y,int val){
	push(node,l,r);
	if(x > r or y < l) return;
	if(l >= x and r <= y){
		remax(lazy[node],val);
		push(node,l,r);
		return;
	}
	int m = (l+r)/2;
	upd2(2*node,l,m,x,y,val);
	upd2(2*node+1,m+1,r,x,y,val);
	seg[node].F = max(seg[2*node].F,seg[2*node+1].F);
	seg[node].S = max(seg[2*node].S,seg[2*node+1].S);
	// trace(2,node,l,r,seg[node].F,seg[node].S);
}

int query(int node,int l,int r,int x,int y){
	push(node,l,r);
	if(x > r or y < l) return 0;
	if(l >= x and r <= y){
		// trace(3,node,l,r,seg[node].F,seg[node].S);
		return seg[node].S;
	}
	int m = (l+r)/2;
	// trace(node,l,r,seg[node].F,seg[node].S);
	return max(query(2*node,l,m,x,y),query(2*node+1,m+1,r,x,y));
} 

void solvethetestcase(){
    cin >> n;
    FOR(i,1,n+1){
        cin >> a[i];
        v.pb({i,i+1});
    }
    cin >> q;
    FOR(i,1,q+1){
        cin >> quer[i].F.F >> quer[i].F.S;
        quer[i].S = i;
    }
    sort(quer+1,quer+1+q,cmp);
    stack<int> s;
    FOR(i,1,n+1){
        while(s.size() and a[s.top()] <= a[i]){
            v.pb({s.top(),i});
            s.pop();
        }
        s.push(i);
    }
    while(s.size()) s.pop();
    FORD(i,n,1){
        while(s.size() and a[s.top()] <= a[i]){
            v.pb({i,s.top()});
            s.pop();
        }
        s.push(i);
    }
    for(auto x:v){
    	if(2*x.S-x.F <= n){
    		trigger[2*x.S-x.F].pb(x);
    	}
    }
    int cur = 1;
    FOR(i,1,q+1){
    	while(cur <= quer[i].F.S){
    		for(auto x:trigger[cur]){
    			upd1(1,1,n,x.F,a[x.F]+a[x.S]);
    		}
    		upd2(1,1,n,1,cur-1,a[cur]);
    		cur++;
    	}
    	ans[quer[i].S] = query(1,1,n,quer[i].F.F,quer[i].F.S);
    	// cout << quer[i].S << " " << ans[quer[i].S]  << endl;
    }
    FOR(i,1,q+1) cout << ans[i] << endl;
}

Compilation message

jumps.cpp:24:1: warning: multi-line comment [-Wcomment]
 // typedef tree<int,null_type,less<int>,rb_tree_tag, \
 ^
jumps.cpp:188:5: warning: multi-line comment [-Wcomment]
     // (UNCOMMENT FOR MULTIPLE TEST CASES) \
     ^
jumps.cpp:191:9: warning: multi-line comment [-Wcomment]
         // (UNCOMMENT FOR CODEJAM) \
         ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12160 KB Output is correct
2 Correct 11 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 11 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 11 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12160 KB Output is correct
2 Correct 11 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 11 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 11 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct
11 Correct 1291 ms 35428 KB Output is correct
12 Correct 1351 ms 35064 KB Output is correct
13 Correct 1334 ms 35144 KB Output is correct
14 Correct 1424 ms 35316 KB Output is correct
15 Correct 1416 ms 35320 KB Output is correct
16 Correct 1381 ms 34808 KB Output is correct
17 Correct 1636 ms 34700 KB Output is correct
18 Correct 1471 ms 34864 KB Output is correct
19 Correct 1592 ms 35512 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 388 ms 52860 KB Output is correct
2 Correct 270 ms 44500 KB Output is correct
3 Correct 261 ms 43092 KB Output is correct
4 Correct 345 ms 52672 KB Output is correct
5 Correct 354 ms 52800 KB Output is correct
6 Correct 355 ms 52392 KB Output is correct
7 Correct 371 ms 52416 KB Output is correct
8 Correct 370 ms 52416 KB Output is correct
9 Correct 386 ms 52416 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 12160 KB Output is correct
2 Correct 11 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 11 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 11 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct
11 Correct 1291 ms 35428 KB Output is correct
12 Correct 1351 ms 35064 KB Output is correct
13 Correct 1334 ms 35144 KB Output is correct
14 Correct 1424 ms 35316 KB Output is correct
15 Correct 1416 ms 35320 KB Output is correct
16 Correct 1381 ms 34808 KB Output is correct
17 Correct 1636 ms 34700 KB Output is correct
18 Correct 1471 ms 34864 KB Output is correct
19 Correct 1592 ms 35512 KB Output is correct
20 Correct 388 ms 52860 KB Output is correct
21 Correct 270 ms 44500 KB Output is correct
22 Correct 261 ms 43092 KB Output is correct
23 Correct 345 ms 52672 KB Output is correct
24 Correct 354 ms 52800 KB Output is correct
25 Correct 355 ms 52392 KB Output is correct
26 Correct 371 ms 52416 KB Output is correct
27 Correct 370 ms 52416 KB Output is correct
28 Correct 386 ms 52416 KB Output is correct
29 Correct 2774 ms 126488 KB Output is correct
30 Correct 2557 ms 106492 KB Output is correct
31 Correct 2428 ms 101952 KB Output is correct
32 Correct 2890 ms 126464 KB Output is correct
33 Correct 3068 ms 126560 KB Output is correct
34 Correct 2718 ms 125692 KB Output is correct
35 Correct 2641 ms 125524 KB Output is correct
36 Correct 2622 ms 125568 KB Output is correct
37 Correct 2658 ms 126124 KB Output is correct
38 Correct 2399 ms 126332 KB Output is correct
39 Correct 2388 ms 126212 KB Output is correct
40 Correct 2286 ms 124564 KB Output is correct
41 Correct 2342 ms 124164 KB Output is correct
42 Correct 2270 ms 124124 KB Output is correct
43 Correct 2377 ms 125112 KB Output is correct
44 Correct 2489 ms 125912 KB Output is correct
45 Correct 2370 ms 125924 KB Output is correct
46 Correct 2313 ms 124392 KB Output is correct
47 Correct 2465 ms 124244 KB Output is correct
48 Correct 2417 ms 123820 KB Output is correct
49 Correct 2369 ms 124612 KB Output is correct
50 Correct 2397 ms 125232 KB Output is correct
51 Correct 2403 ms 125152 KB Output is correct
52 Correct 2425 ms 124632 KB Output is correct
53 Correct 2466 ms 124396 KB Output is correct
54 Correct 2479 ms 124272 KB Output is correct
55 Correct 2359 ms 125072 KB Output is correct