oj.uz

Submission #253724

# Submission time Handle Problem Language Result Execution time Memory
253724 2020-07-28T15:15:18 Z b00n0rp Triple Jump (JOI19_jumps) C++17
100 / 100
 2661 ms 136520 KB 
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------

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

// -------------------</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[10*MAXN];
int lazy[10*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 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 8 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 9 ms 12160 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 8 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 9 ms 12160 KB Output is correct
11 Correct 1400 ms 33940 KB Output is correct
12 Correct 1299 ms 33696 KB Output is correct
13 Correct 1342 ms 33604 KB Output is correct
14 Correct 1334 ms 33908 KB Output is correct
15 Correct 1366 ms 34168 KB Output is correct
16 Correct 1358 ms 33272 KB Output is correct
17 Correct 1314 ms 33376 KB Output is correct
18 Correct 1297 ms 33400 KB Output is correct
19 Correct 1335 ms 33784 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 374 ms 51520 KB Output is correct
2 Correct 281 ms 43348 KB Output is correct
3 Correct 298 ms 41836 KB Output is correct
4 Correct 387 ms 51520 KB Output is correct
5 Correct 367 ms 51688 KB Output is correct
6 Correct 354 ms 51524 KB Output is correct
7 Correct 350 ms 51520 KB Output is correct
8 Correct 366 ms 51556 KB Output is correct
9 Correct 398 ms 51520 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 8 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 9 ms 12160 KB Output is correct
11 Correct 1400 ms 33940 KB Output is correct
12 Correct 1299 ms 33696 KB Output is correct
13 Correct 1342 ms 33604 KB Output is correct
14 Correct 1334 ms 33908 KB Output is correct
15 Correct 1366 ms 34168 KB Output is correct
16 Correct 1358 ms 33272 KB Output is correct
17 Correct 1314 ms 33376 KB Output is correct
18 Correct 1297 ms 33400 KB Output is correct
19 Correct 1335 ms 33784 KB Output is correct
20 Correct 374 ms 51520 KB Output is correct
21 Correct 281 ms 43348 KB Output is correct
22 Correct 298 ms 41836 KB Output is correct
23 Correct 387 ms 51520 KB Output is correct
24 Correct 367 ms 51688 KB Output is correct
25 Correct 354 ms 51524 KB Output is correct
26 Correct 350 ms 51520 KB Output is correct
27 Correct 366 ms 51556 KB Output is correct
28 Correct 398 ms 51520 KB Output is correct
29 Correct 2530 ms 125152 KB Output is correct
30 Correct 2383 ms 115648 KB Output is correct
31 Correct 2344 ms 111600 KB Output is correct
32 Correct 2496 ms 136196 KB Output is correct
33 Correct 2583 ms 136300 KB Output is correct
34 Correct 2468 ms 133820 KB Output is correct
35 Correct 2557 ms 133604 KB Output is correct
36 Correct 2661 ms 133688 KB Output is correct
37 Correct 2576 ms 135212 KB Output is correct
38 Correct 2324 ms 136348 KB Output is correct
39 Correct 2484 ms 136168 KB Output is correct
40 Correct 2332 ms 132968 KB Output is correct
41 Correct 2253 ms 132252 KB Output is correct
42 Correct 2346 ms 132632 KB Output is correct
43 Correct 2382 ms 134336 KB Output is correct
44 Correct 2351 ms 136288 KB Output is correct
45 Correct 2479 ms 136096 KB Output is correct
46 Correct 2490 ms 133104 KB Output is correct
47 Correct 2467 ms 132724 KB Output is correct
48 Correct 2591 ms 132580 KB Output is correct
49 Correct 2477 ms 134568 KB Output is correct
50 Correct 2502 ms 136272 KB Output is correct
51 Correct 2381 ms 136520 KB Output is correct
52 Correct 2354 ms 133972 KB Output is correct
53 Correct 2316 ms 133520 KB Output is correct
54 Correct 2353 ms 133360 KB Output is correct
55 Correct 2399 ms 135180 KB Output is correct