Submission #385226

# Submission time Handle Problem Language Result Execution time Memory
385226 2021-04-03T18:37:35 Z rqi Packing Biscuits (IOI20_biscuits) C++14
100 / 100
22 ms 1388 KB
#include "biscuits.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<ll> vl;

#define sz(x) (int)(x).size()
#define pb push_back

int k;
vl a;
ll x;

ll tpow[64];

bool possible(ll y){
	vl A = a;
	
	for(int i = 0; i <= 59; i++){
		if((y>>i)&1){
			A[i]-=x;
		}
		
		if(A[i] < 0) return 0;
		if(i+1 < 60){
			A[i+1]+=A[i]/2;
		}
	}
	//cout << y << "\n";
	return 1;
}

ll solveCase1(){
	while(sz(a) < 60){
		a.pb(0);
	}
	int ans = 0;
	for(int y = 0; y <= 100000; y++){
		if(possible(y)){
			ans++;
		}
	}
	return ans;
}

ll restr[62];
ll dp[62];

ll getDP(ll v, int bitnum){
	// if(v != 0 && 63- __builtin_clzll(v) > bitnum){
	// 	cout << v << " " << bitnum << "\n";
	// }
	assert(v == 0 || 63- __builtin_clzll(v)  <= bitnum);
	assert(v >= 0);
	if(v == 0){
		return 1;
	}
	if(bitnum == 0){
		if(v == 0){
			return 1;
		}
		else if(v == 1){
			return dp[bitnum];
		}
		assert(false);
	}

	if(v < tpow[bitnum]){
		return getDP(v, bitnum-1);
	}

	if(restr[bitnum] < tpow[bitnum]){
		return getDP(restr[bitnum], bitnum-1);
	}

	return dp[bitnum-1]+getDP(min(v-tpow[bitnum], restr[bitnum]-tpow[bitnum]), bitnum-1);
}

ll count_tastiness(ll _x, vl _a) {
	x = _x;
	a = _a;
	while(sz(a) < 62){
		a.pb(0);
	}

	k = sz(a);

	tpow[0] = 1;
	for(int i = 1; i < 64; i++){
		tpow[i] = tpow[i-1]*2;
	}

	// bool CASE1 = 1;

	// if(CASE1){
	// 	return solveCase1();
	// }

	restr[0] = a[0];
	for(int i = 1; i <= 61; i++){
		restr[i] = restr[i-1]+tpow[i]*a[i];
	}

	for(int i = 0; i <= 61; i++){
		restr[i]/=x;
	}

	if(restr[0] >= 1){
		dp[0] = 2;
	}
	else{
		dp[0] = 1;
	}

	for(int i = 1; i <= 61; i++){
		dp[i] = getDP(tpow[i+1]-1, i);
	}

	//assert(solveCase1() == dp[59]);
	assert(dp[59] == dp[60] && dp[60] == dp[61]);
	return dp[59];
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 492 KB Output is correct
2 Correct 18 ms 876 KB Output is correct
3 Correct 17 ms 1260 KB Output is correct
4 Correct 18 ms 1260 KB Output is correct
5 Correct 19 ms 1260 KB Output is correct
6 Correct 18 ms 1132 KB Output is correct
7 Correct 17 ms 1260 KB Output is correct
8 Correct 17 ms 1132 KB Output is correct
9 Correct 18 ms 1260 KB Output is correct
10 Correct 17 ms 1260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 2 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 2 ms 372 KB Output is correct
37 Correct 11 ms 492 KB Output is correct
38 Correct 18 ms 876 KB Output is correct
39 Correct 17 ms 1260 KB Output is correct
40 Correct 18 ms 1260 KB Output is correct
41 Correct 19 ms 1260 KB Output is correct
42 Correct 18 ms 1132 KB Output is correct
43 Correct 17 ms 1260 KB Output is correct
44 Correct 17 ms 1132 KB Output is correct
45 Correct 18 ms 1260 KB Output is correct
46 Correct 17 ms 1260 KB Output is correct
47 Correct 10 ms 492 KB Output is correct
48 Correct 21 ms 1388 KB Output is correct
49 Correct 12 ms 492 KB Output is correct
50 Correct 22 ms 1260 KB Output is correct
51 Correct 14 ms 1388 KB Output is correct
52 Correct 8 ms 512 KB Output is correct
53 Correct 13 ms 1132 KB Output is correct
54 Correct 20 ms 1260 KB Output is correct
55 Correct 21 ms 1388 KB Output is correct
56 Correct 20 ms 1260 KB Output is correct
57 Correct 20 ms 1260 KB Output is correct