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Submission #932872

# Submission time Handle Problem Language Result Execution time Memory
932872 2024-02-24T10:31:02 Z Wuskevo Binaria (CCO23_day1problem1) C++14
25 / 25
 175 ms 37200 KB 
// Do easier subtasks for ALL problems in IO when stuck for too long
// Don't do nothing, do something, you can do it! :)
// Try a different approach, check every approach if feasible
// Don't overthink, don't panic, clear your mind

#include<bits/stdc++.h>
#define fastcincout ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define fi first
#define se second
#define pri priority_queue
#define str string
#define int long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pu push_back
#define po pop_back
#define all(v) v.begin(), v.end()
#define MOD 1000003

using namespace std;
const int N=1e6+5;
bool debug=0;

int n, k;
int fact[N], inv[N], a[N], b[N];

int mult(int x, int y) {
	return (x*y)%MOD;
}

int pang(int x, int y) {
	if (y == 0) return 1;
	int t = pang(x, y/2);
	t = mult(t, t);
	if (y&1) return mult(t, x);
	return t;
}

void prec() {
	fact[0] = 1;
	inv[0] = 1;
	for (int i=1; i<=N-5; i++) {
		fact[i] = mult(fact[i-1], i);
		inv[i] = pang(fact[i], MOD-2);
	}
}

int C(int M, int R) {
	if (R < 0) return 0; // impossible
	if (R > M) return 0;
	return mult(fact[M], mult(inv[R], inv[M-R]));
}

void solve() {
	prec();
	cin >> n >> k;
	for (int i=1; i<=n; i++) b[i] = -1;
	int m = n - k + 1;
	for (int i=1; i<=m; i++) cin >> a[i];
	int slots = 0, ones = a[1];
	bool posi = 1;
	for (int i=m-1; i>=1; i--) {
		int l = i, r = l+k;
		if (debug) cout << "index: " << i << " -> l: " << l << " r: " << r << "\n"; 
		if (abs(a[i] - a[i+1]) > 1) {
			if (debug) cout << "Impossible difference!" << "\n";
			posi = 0;
			break;
		}
		if ( a[i] > a[i+1] ){
			// we need r to be 0 and l = 1 to decrease the sum
            if ( b[r] == 1 ){
                posi = 0;
                break;
            }
            b[l] = 1;
        } 
		else if ( a[i] < a[i+1] ){
			// we need l to be 0 and r = 1 to increase the sum
            if ( b[r] == 0 ){
                posi = 0;
                break;
            }
            b[l] = 0;
        } 
		else {
            b[l] = b[r];
        }
	}
	
	if (debug) {
		cout << "B: ";
		for (int i=1; i<=n; i++) cout << b[i] << " ";
		cout << "\n";
	}
	
	if (!posi) {
		if (debug) cout << "impossible!\n";
		cout << 0 << "\n";
		return;
	} 
	
	for (int i=1; i<=k; i++) {
		if (b[i] == 1) ones--;
		if (b[i] == -1) slots++; 
	}
	
	if (debug) cout << "Empty slots: " << slots << " ones: " << ones << "\n";
	int ans = C(slots, ones);
	cout << ans << "\n";
}

signed main() {
	// freopen("Input.in", "r", stdin);
	// freopen("Output.out", "w", stdout);
	// freopen must have the file in the same folder as the code file
	fastcincout;
	int testcases=1;
	// cin >> testcases;
	while(testcases--)
	{
	    solve();
 	}
	return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct
13 Correct 112 ms 19028 KB Output is correct
14 Correct 112 ms 19140 KB Output is correct
15 Correct 115 ms 19028 KB Output is correct
16 Correct 112 ms 19028 KB Output is correct
17 Correct 112 ms 19160 KB Output is correct
18 Correct 114 ms 19148 KB Output is correct
19 Correct 112 ms 19144 KB Output is correct
20 Correct 111 ms 19164 KB Output is correct
21 Correct 111 ms 19144 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct
13 Correct 112 ms 19028 KB Output is correct
14 Correct 112 ms 19140 KB Output is correct
15 Correct 115 ms 19028 KB Output is correct
16 Correct 112 ms 19028 KB Output is correct
17 Correct 112 ms 19160 KB Output is correct
18 Correct 114 ms 19148 KB Output is correct
19 Correct 112 ms 19144 KB Output is correct
20 Correct 111 ms 19164 KB Output is correct
21 Correct 111 ms 19144 KB Output is correct
22 Correct 116 ms 19028 KB Output is correct
23 Correct 112 ms 19024 KB Output is correct
24 Correct 111 ms 19028 KB Output is correct
25 Correct 112 ms 19144 KB Output is correct
26 Correct 111 ms 19140 KB Output is correct
27 Correct 111 ms 19164 KB Output is correct
28 Correct 112 ms 19024 KB Output is correct
29 Correct 112 ms 19156 KB Output is correct
30 Correct 111 ms 19156 KB Output is correct
31 Correct 111 ms 19144 KB Output is correct
32 Correct 113 ms 19164 KB Output is correct
33 Correct 112 ms 19024 KB Output is correct
34 Correct 112 ms 19148 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct
13 Correct 112 ms 19028 KB Output is correct
14 Correct 112 ms 19140 KB Output is correct
15 Correct 115 ms 19028 KB Output is correct
16 Correct 112 ms 19028 KB Output is correct
17 Correct 112 ms 19160 KB Output is correct
18 Correct 114 ms 19148 KB Output is correct
19 Correct 112 ms 19144 KB Output is correct
20 Correct 111 ms 19164 KB Output is correct
21 Correct 111 ms 19144 KB Output is correct
22 Correct 116 ms 19028 KB Output is correct
23 Correct 112 ms 19024 KB Output is correct
24 Correct 111 ms 19028 KB Output is correct
25 Correct 112 ms 19144 KB Output is correct
26 Correct 111 ms 19140 KB Output is correct
27 Correct 111 ms 19164 KB Output is correct
28 Correct 112 ms 19024 KB Output is correct
29 Correct 112 ms 19156 KB Output is correct
30 Correct 111 ms 19156 KB Output is correct
31 Correct 111 ms 19144 KB Output is correct
32 Correct 113 ms 19164 KB Output is correct
33 Correct 112 ms 19024 KB Output is correct
34 Correct 112 ms 19148 KB Output is correct
35 Correct 149 ms 33616 KB Output is correct
36 Correct 157 ms 34252 KB Output is correct
37 Correct 161 ms 34676 KB Output is correct
38 Correct 162 ms 34548 KB Output is correct
39 Correct 152 ms 33764 KB Output is correct
40 Correct 154 ms 34504 KB Output is correct
41 Correct 154 ms 34680 KB Output is correct
42 Correct 163 ms 33684 KB Output is correct
43 Correct 150 ms 33616 KB Output is correct
44 Correct 153 ms 33496 KB Output is correct
45 Correct 147 ms 33620 KB Output is correct
46 Correct 150 ms 33740 KB Output is correct
47 Correct 152 ms 33484 KB Output is correct
48 Correct 155 ms 34660 KB Output is correct
49 Correct 155 ms 34512 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct
13 Correct 112 ms 19028 KB Output is correct
14 Correct 112 ms 19140 KB Output is correct
15 Correct 115 ms 19028 KB Output is correct
16 Correct 112 ms 19028 KB Output is correct
17 Correct 112 ms 19160 KB Output is correct
18 Correct 114 ms 19148 KB Output is correct
19 Correct 112 ms 19144 KB Output is correct
20 Correct 111 ms 19164 KB Output is correct
21 Correct 111 ms 19144 KB Output is correct
22 Correct 116 ms 19028 KB Output is correct
23 Correct 112 ms 19024 KB Output is correct
24 Correct 111 ms 19028 KB Output is correct
25 Correct 112 ms 19144 KB Output is correct
26 Correct 111 ms 19140 KB Output is correct
27 Correct 111 ms 19164 KB Output is correct
28 Correct 112 ms 19024 KB Output is correct
29 Correct 112 ms 19156 KB Output is correct
30 Correct 111 ms 19156 KB Output is correct
31 Correct 111 ms 19144 KB Output is correct
32 Correct 113 ms 19164 KB Output is correct
33 Correct 112 ms 19024 KB Output is correct
34 Correct 112 ms 19148 KB Output is correct
35 Correct 149 ms 33616 KB Output is correct
36 Correct 157 ms 34252 KB Output is correct
37 Correct 161 ms 34676 KB Output is correct
38 Correct 162 ms 34548 KB Output is correct
39 Correct 152 ms 33764 KB Output is correct
40 Correct 154 ms 34504 KB Output is correct
41 Correct 154 ms 34680 KB Output is correct
42 Correct 163 ms 33684 KB Output is correct
43 Correct 150 ms 33616 KB Output is correct
44 Correct 153 ms 33496 KB Output is correct
45 Correct 147 ms 33620 KB Output is correct
46 Correct 150 ms 33740 KB Output is correct
47 Correct 152 ms 33484 KB Output is correct
48 Correct 155 ms 34660 KB Output is correct
49 Correct 155 ms 34512 KB Output is correct
50 Correct 165 ms 36436 KB Output is correct
51 Correct 166 ms 36452 KB Output is correct
52 Correct 164 ms 36436 KB Output is correct
53 Correct 168 ms 36528 KB Output is correct
54 Correct 164 ms 36560 KB Output is correct
55 Correct 165 ms 36456 KB Output is correct
56 Correct 175 ms 36588 KB Output is correct
57 Correct 160 ms 35444 KB Output is correct
58 Correct 172 ms 36548 KB Output is correct
59 Correct 166 ms 36436 KB Output is correct
60 Correct 162 ms 35544 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 19156 KB Output is correct
2 Correct 111 ms 19148 KB Output is correct
3 Correct 112 ms 19164 KB Output is correct
4 Correct 111 ms 19028 KB Output is correct
5 Correct 112 ms 19120 KB Output is correct
6 Correct 112 ms 19156 KB Output is correct
7 Correct 112 ms 19152 KB Output is correct
8 Correct 112 ms 19144 KB Output is correct
9 Correct 112 ms 19024 KB Output is correct
10 Correct 114 ms 19160 KB Output is correct
11 Correct 112 ms 19536 KB Output is correct
12 Correct 112 ms 19028 KB Output is correct
13 Correct 112 ms 19028 KB Output is correct
14 Correct 112 ms 19140 KB Output is correct
15 Correct 115 ms 19028 KB Output is correct
16 Correct 112 ms 19028 KB Output is correct
17 Correct 112 ms 19160 KB Output is correct
18 Correct 114 ms 19148 KB Output is correct
19 Correct 112 ms 19144 KB Output is correct
20 Correct 111 ms 19164 KB Output is correct
21 Correct 111 ms 19144 KB Output is correct
22 Correct 116 ms 19028 KB Output is correct
23 Correct 112 ms 19024 KB Output is correct
24 Correct 111 ms 19028 KB Output is correct
25 Correct 112 ms 19144 KB Output is correct
26 Correct 111 ms 19140 KB Output is correct
27 Correct 111 ms 19164 KB Output is correct
28 Correct 112 ms 19024 KB Output is correct
29 Correct 112 ms 19156 KB Output is correct
30 Correct 111 ms 19156 KB Output is correct
31 Correct 111 ms 19144 KB Output is correct
32 Correct 113 ms 19164 KB Output is correct
33 Correct 112 ms 19024 KB Output is correct
34 Correct 112 ms 19148 KB Output is correct
35 Correct 149 ms 33616 KB Output is correct
36 Correct 157 ms 34252 KB Output is correct
37 Correct 161 ms 34676 KB Output is correct
38 Correct 162 ms 34548 KB Output is correct
39 Correct 152 ms 33764 KB Output is correct
40 Correct 154 ms 34504 KB Output is correct
41 Correct 154 ms 34680 KB Output is correct
42 Correct 163 ms 33684 KB Output is correct
43 Correct 150 ms 33616 KB Output is correct
44 Correct 153 ms 33496 KB Output is correct
45 Correct 147 ms 33620 KB Output is correct
46 Correct 150 ms 33740 KB Output is correct
47 Correct 152 ms 33484 KB Output is correct
48 Correct 155 ms 34660 KB Output is correct
49 Correct 155 ms 34512 KB Output is correct
50 Correct 165 ms 36436 KB Output is correct
51 Correct 166 ms 36452 KB Output is correct
52 Correct 164 ms 36436 KB Output is correct
53 Correct 168 ms 36528 KB Output is correct
54 Correct 164 ms 36560 KB Output is correct
55 Correct 165 ms 36456 KB Output is correct
56 Correct 175 ms 36588 KB Output is correct
57 Correct 160 ms 35444 KB Output is correct
58 Correct 172 ms 36548 KB Output is correct
59 Correct 166 ms 36436 KB Output is correct
60 Correct 162 ms 35544 KB Output is correct
61 Correct 114 ms 25552 KB Output is correct
62 Correct 113 ms 25556 KB Output is correct
63 Correct 116 ms 26060 KB Output is correct
64 Correct 115 ms 25544 KB Output is correct
65 Correct 146 ms 33108 KB Output is correct
66 Correct 136 ms 31824 KB Output is correct
67 Correct 165 ms 37200 KB Output is correct
68 Correct 123 ms 27864 KB Output is correct
69 Correct 113 ms 25564 KB Output is correct
70 Correct 116 ms 25684 KB Output is correct
71 Correct 113 ms 25424 KB Output is correct