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Submission #223584

# Submission time Handle Problem Language Result Execution time Memory
223584 2020-04-15T14:05:31 Z spacewalker Remittance (JOI19_remittance) C++14
100 / 100
 544 ms 114908 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

// if X, the next number will be
// 2X - peak

vector<ll> canonBinary(vector<ll> &arr) {
	vector<ll> ans = arr;
	for (int i = 0; i < 40; ++i) ans.push_back(0);
	for (int i = 0; i + 1 < ans.size(); ++i) {
		ans[i + 1] += ans[i] / 2;
		ans[i] %= 2;
	}
	return ans;
}

void answer(bool yn) {
	if (yn) printf("Yes\n");
	else printf("No\n");
	exit(0);
}

ll tryDivide(vector<ll> digs, ll n) {
	// Attempts to return digs / (2 ^ n - 1), returns -1 if that is not an integer
	// NUMBERS HERE ARE MOST SIGNIFICANT FIRST
	vector<ll> curRem;
	int curRemDigitSum = 0;
	vector<ll> ans;
	for (int d : digs) {
		if (curRem.empty() && d == 0) {
			ans.push_back(0);
			continue;
		}
		curRem.push_back(d);
		curRemDigitSum += d;
		if (curRem.size() < n || (curRem.size() == n && curRemDigitSum < n)) {
//			printf("zero added\n");
			ans.push_back(0);
		} else {
			ans.push_back(1);
			// update curRem to be curRem - (2 ^ n - 1)
//			printf("DIVIDE INITIATED:\n");
//			for (int x : curRem) printf("%d", x);
//			printf("\n");
			fflush(stdout);
			if (curRem.size() == n) {
				curRem.clear();
				curRemDigitSum = 0;
			} else {
				for (int i = 1; i <= n; ++i) curRem[i] -= 1;
				int recentOne = -1;
				for (int i = 0; i <= n; ++i) {
					if (curRem[i] == 1) recentOne = i;
					else if (curRem[i] == -1) {
						curRem[recentOne] = 0;
						for (int j = recentOne + 1; j <= i; ++j) {
							curRem[j] = 1;
						}
						recentOne = i;
					}
				}
				int fone = -1;
				for (int i = 0; i <= n; ++i) {
					if (curRem[i] == 1) {
						fone = i; break;
					}
				}
				curRemDigitSum = 0;
				if (fone == -1) {
					curRem.clear();
				} else {
					curRem = vector<ll>(begin(curRem) + fone, end(curRem));
					for (int x : curRem) curRemDigitSum += x;
				}
			}
		}
	}
	if (curRemDigitSum == 0) {
		ll numerical = 0;
		for (int x : ans) numerical = 2 * numerical + x;
		return numerical;
	} else return -1;
}

int main() {
	int n; scanf("%d", &n);
	vector<ll> before(n), after(n);
	for (int i = 0; i < n; ++i) scanf("%lld %lld", &before[i], &after[i]);
	ll sanity = 0;
	for (int i = 0; i < n; ++i) if (before[i] != after[i]) ++sanity;
	if (sanity == 0) answer(true);
	sanity = 0;
	for (int x : after) sanity += x;
	if (sanity == 0) answer(false);
	vector<ll> beforeConv = canonBinary(before), afterConv = canonBinary(after);
	vector<ll> difference(beforeConv.size(), 0);
	int diffLen = difference.size();
//	for (int i = diffLen - 1; i >= 0; --i) printf("%lld", beforeConv[i]);
//	printf("\n");
//	for (int i = diffLen - 1; i >= 0; --i) printf("%lld", afterConv[i]);
//	printf("\n");
	for (int i = 0; i < diffLen; ++i) difference[i] = beforeConv[i] - afterConv[i];
//	for (int i = diffLen - 1; i >= 0; --i) printf("%lld", difference[i]);
//	printf("\n");
	bool earlyNegativeBreak = false;
	int recentOne = -1;
	for (int i = diffLen - 1; i >= 0; --i) {
		if (difference[i] == 1) recentOne = i;
		else if (difference[i] == -1) {
			if (recentOne == -1) {
				earlyNegativeBreak = true;
				break;
			} else {
				for (int j = i; j < recentOne; ++j) difference[j] = 1;
				difference[recentOne] = 0;
				recentOne = i;
			}
		}
	}
	if (earlyNegativeBreak) {
		answer(false);
	}
//	for (int i = diffLen - 1; i >= 0; --i) printf("%lld", difference[i]);
//	printf("\n");
//	fflush(stdout);
	reverse(begin(difference), end(difference)); // cast from little endian to big endian
	vector<ll> flows(n);
	flows[n-1] = tryDivide(difference, n);
	// flows[n-1] = (A + 2B + 4C + 8D + 16E) / 31
	// flows[n-2] = (E + 2A + 4B + 8C + 16D) / 31
	// 2a - b = A etc etc
	for (int i = n - 2; i >= 0; --i) flows[i] = 2*flows[i+1] - (before[i + 1] - after[i + 1]);
//	for (int i = 0; i < n; ++i) printf("%d flow %lld\n", i, flows[i]);
	for (int i = 0; i < n; ++i) if (flows[i] < 0) answer(false);
	answer(true);
	return 0;

}

Compilation message

remittance.cpp: In function 'std::vector<long long int> canonBinary(std::vector<long long int>&)':
remittance.cpp:12:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i + 1 < ans.size(); ++i) {
                  ~~~~~~^~~~~~~~~~~~
remittance.cpp: In function 'll tryDivide(std::vector<long long int>, ll)':
remittance.cpp:38:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if (curRem.size() < n || (curRem.size() == n && curRemDigitSum < n)) {
       ~~~~~~~~~~~~~~^~~
remittance.cpp:38:43: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if (curRem.size() < n || (curRem.size() == n && curRemDigitSum < n)) {
                             ~~~~~~~~~~~~~~^~~~
remittance.cpp:48:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if (curRem.size() == n) {
        ~~~~~~~~~~~~~~^~~~
remittance.cpp: In function 'int main()':
remittance.cpp:88:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  int n; scanf("%d", &n);
         ~~~~~^~~~~~~~~~
remittance.cpp:90:35: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for (int i = 0; i < n; ++i) scanf("%lld %lld", &before[i], &after[i]);
                              ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 256 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 5 ms 256 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 4 ms 256 KB Output is correct
16 Correct 5 ms 256 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 5 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 5 ms 256 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 256 KB Output is correct
24 Correct 5 ms 256 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 5 ms 256 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 256 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 256 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 5 ms 256 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 4 ms 256 KB Output is correct
16 Correct 5 ms 256 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 5 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 5 ms 256 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 256 KB Output is correct
24 Correct 5 ms 256 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 5 ms 256 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 256 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 256 KB Output is correct
37 Correct 5 ms 256 KB Output is correct
38 Correct 5 ms 256 KB Output is correct
39 Correct 5 ms 256 KB Output is correct
40 Correct 5 ms 256 KB Output is correct
41 Correct 4 ms 256 KB Output is correct
42 Correct 5 ms 384 KB Output is correct
43 Correct 4 ms 384 KB Output is correct
44 Correct 5 ms 384 KB Output is correct
45 Correct 5 ms 384 KB Output is correct
46 Correct 5 ms 256 KB Output is correct
47 Correct 5 ms 384 KB Output is correct
48 Correct 5 ms 256 KB Output is correct
49 Correct 4 ms 256 KB Output is correct
50 Correct 5 ms 256 KB Output is correct
51 Correct 5 ms 384 KB Output is correct
52 Correct 4 ms 256 KB Output is correct
53 Correct 5 ms 384 KB Output is correct
54 Correct 5 ms 256 KB Output is correct
55 Correct 5 ms 384 KB Output is correct
56 Correct 5 ms 256 KB Output is correct
57 Correct 5 ms 384 KB Output is correct
58 Correct 4 ms 256 KB Output is correct
59 Correct 4 ms 256 KB Output is correct
60 Correct 5 ms 288 KB Output is correct
61 Correct 5 ms 256 KB Output is correct
62 Correct 5 ms 256 KB Output is correct

Subtask #3
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 256 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 256 KB Output is correct
5 Correct 5 ms 256 KB Output is correct
6 Correct 5 ms 256 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 256 KB Output is correct
11 Correct 5 ms 256 KB Output is correct
12 Correct 5 ms 256 KB Output is correct
13 Correct 4 ms 256 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 4 ms 256 KB Output is correct
16 Correct 5 ms 256 KB Output is correct
17 Correct 4 ms 256 KB Output is correct
18 Correct 5 ms 256 KB Output is correct
19 Correct 4 ms 256 KB Output is correct
20 Correct 4 ms 256 KB Output is correct
21 Correct 5 ms 256 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 256 KB Output is correct
24 Correct 5 ms 256 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 5 ms 256 KB Output is correct
28 Correct 5 ms 384 KB Output is correct
29 Correct 5 ms 256 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 5 ms 384 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 5 ms 384 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 5 ms 256 KB Output is correct
37 Correct 5 ms 256 KB Output is correct
38 Correct 5 ms 256 KB Output is correct
39 Correct 5 ms 256 KB Output is correct
40 Correct 5 ms 256 KB Output is correct
41 Correct 4 ms 256 KB Output is correct
42 Correct 5 ms 384 KB Output is correct
43 Correct 4 ms 384 KB Output is correct
44 Correct 5 ms 384 KB Output is correct
45 Correct 5 ms 384 KB Output is correct
46 Correct 5 ms 256 KB Output is correct
47 Correct 5 ms 384 KB Output is correct
48 Correct 5 ms 256 KB Output is correct
49 Correct 4 ms 256 KB Output is correct
50 Correct 5 ms 256 KB Output is correct
51 Correct 5 ms 384 KB Output is correct
52 Correct 4 ms 256 KB Output is correct
53 Correct 5 ms 384 KB Output is correct
54 Correct 5 ms 256 KB Output is correct
55 Correct 5 ms 384 KB Output is correct
56 Correct 5 ms 256 KB Output is correct
57 Correct 5 ms 384 KB Output is correct
58 Correct 4 ms 256 KB Output is correct
59 Correct 4 ms 256 KB Output is correct
60 Correct 5 ms 288 KB Output is correct
61 Correct 5 ms 256 KB Output is correct
62 Correct 5 ms 256 KB Output is correct
63 Correct 392 ms 39792 KB Output is correct
64 Correct 247 ms 80612 KB Output is correct
65 Correct 544 ms 113476 KB Output is correct
66 Correct 249 ms 75112 KB Output is correct
67 Correct 279 ms 92264 KB Output is correct
68 Correct 317 ms 89444 KB Output is correct
69 Correct 527 ms 101220 KB Output is correct
70 Correct 242 ms 80612 KB Output is correct
71 Correct 264 ms 81892 KB Output is correct
72 Correct 319 ms 94296 KB Output is correct
73 Correct 516 ms 113776 KB Output is correct
74 Correct 246 ms 80544 KB Output is correct
75 Correct 261 ms 81892 KB Output is correct
76 Correct 327 ms 94692 KB Output is correct
77 Correct 503 ms 113720 KB Output is correct
78 Correct 261 ms 27640 KB Output is correct
79 Correct 268 ms 27644 KB Output is correct
80 Correct 394 ms 105908 KB Output is correct
81 Correct 448 ms 105904 KB Output is correct
82 Correct 165 ms 19960 KB Output is correct
83 Correct 199 ms 43520 KB Output is correct
84 Correct 183 ms 19960 KB Output is correct
85 Correct 509 ms 114908 KB Output is correct
86 Correct 479 ms 114716 KB Output is correct
87 Correct 215 ms 28920 KB Output is correct
88 Correct 381 ms 94440 KB Output is correct