Submission #489374

# Submission time Handle Problem Language Result Execution time Memory
489374 2021-11-22T18:54:54 Z MilosMilutinovic Split the sequence (APIO14_sequence) C++14
100 / 100
1441 ms 82204 KB
#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,n) for (int i=a;i<n;i++)
#define per(i,a,n) for (int i=n-1;i>=a;i--)
#define pb push_back
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define fi first
#define se second
#define SZ(x) ((int)(x).size())
typedef vector<int> VI;
typedef long long ll;
typedef pair<int,int> PII;
typedef double db;
mt19937 mrand(random_device{}()); 
const ll mod=1000000007;
const ll mod2=998244353;
int rnd(int x) { return mrand() % x;}
ll powmod(ll a,ll b) {ll res=1;a%=mod; assert(b>=0); for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;}
ll gcd(ll a,ll b) { return b?gcd(b,a%b):a;}
// head

const int N=101000;
int n,k,a[N],go[N][201];
ll pf[N],dp[N][2];

void gao(int l,int r,int pl,int pr,int x) {
	if (l>r) return;
	int md=(l+r)>>1;
	ll bst=-1e17;
	int j=0;
	rep(i,pl,min(pr,md)+1) {
		if (bst<dp[i-1][(x&1)^1]+(pf[md]-pf[i-1])*pf[i-1]) {
			bst=dp[i-1][(x&1)^1]+(pf[md]-pf[i-1])*pf[i-1];
			j=i;
		}
	}
	go[md][x]=j;
	dp[md][x&1]=bst;
	gao(l,md-1,pl,j,x);
	gao(md+1,r,j,pr,x);
}

int main() {
	scanf("%d%d",&n,&k);
	k++;
	rep(i,1,n+1) scanf("%d",a+i);
	rep(i,1,n+1) pf[i]=pf[i-1]+a[i],dp[i][0]=-1e17;
	rep(i,1,k+1) gao(i,n,i,n,i);
	printf("%lld\n",dp[n][k&1]);
	VI ans;
	int pos=n;
	while (pos>0) ans.pb(pos),pos=go[pos][k--]-1;
	reverse(all(ans));
	rep(i,0,SZ(ans)-1) printf("%d ",ans[i]); puts("");
}

/*7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:3:20: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
    3 | #define rep(i,a,n) for (int i=a;i<n;i++)
      |                    ^~~
sequence.cpp:55:2: note: in expansion of macro 'rep'
   55 |  rep(i,0,SZ(ans)-1) printf("%d ",ans[i]); puts("");
      |  ^~~
sequence.cpp:55:43: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
   55 |  rep(i,0,SZ(ans)-1) printf("%d ",ans[i]); puts("");
      |                                           ^~~~
sequence.cpp:45:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   45 |  scanf("%d%d",&n,&k);
      |  ~~~~~^~~~~~~~~~~~~~
sequence.cpp:47:20: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   47 |  rep(i,1,n+1) scanf("%d",a+i);
      |               ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 204 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 252 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 332 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 460 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 1132 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 8396 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8388 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 54 ms 8440 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 8396 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 66 ms 8448 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 64 ms 8464 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 56 ms 8400 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 56 ms 8404 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 63 ms 8456 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 76 ms 8456 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 58 ms 81852 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 57 ms 81732 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1077 ms 82204 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 60 ms 82116 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1441 ms 81896 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1020 ms 81904 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 794 ms 82180 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 672 ms 82076 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 839 ms 82048 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1058 ms 82056 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845