Submission #22657

#TimeUsernameProblemLanguageResultExecution timeMemory
22657카시코이 (#40)Unifying Values (KRIII5_UV)C++14
2 / 7
500 ms48856 KiB
#include <cstdio>
#include <cstring>
#include <vector>
#include <unordered_map>
#include <algorithm>
using namespace std;

const int MOD = 1000000007;

int n;
long long arr[10004];
long long sum[10004];
long long allsum;

int main() {
	//freopen("input.txt", "r", stdin);
	scanf("%d", &n);
	for (int i = 1; i <= n; ++i) {
		scanf("%lld", &arr[i]);
		sum[i] = sum[i - 1] + arr[i];
	}
	allsum = sum[n];

	unordered_map<long long, vector<int>> posbysum;
	for (int i = 0; i <= n; ++i) {
		posbysum[sum[i]];
		posbysum[sum[i]].push_back(i);
	}

	long long ans = 0;

	if (allsum == 0) {
		int ppcnt = 0;
		long long ss = 0;
		for (int i = 1; i <= n; ++i) {
			ss += arr[i];
			if (ss == 0) {
				++ppcnt;
			}
		}

		ans = 1;
		for (int k = 1; k < ppcnt; ++k) {
			ans = (ans * 2ll) % MOD;
		}
		ans = (ans - 1 + MOD) % MOD;
		printf("%d\n", ans);

		return 0;
	}

	vector<int> cand;
	for (int i = 2; i <= n; ++i) {
		if (allsum % i == 0) {
			cand.push_back(i);
		}
	}

	for (int cnt : cand) {
		long long targetsum = allsum / cnt;

		vector<vector<int>> idxs(n + 1);
		vector<vector<int>> sum1(n + 1), prefix(n + 1);
		idxs[0].push_back(0);
		sum1[0].push_back(1);
		prefix[0].push_back(1);
		for (int k = 1; k <= cnt; ++k) {
			long long ss = targetsum * k;
			idxs[k] = posbysum[ss];
			sum1[k].resize(idxs[k].size(), 0);
			prefix[k].resize(idxs[k].size(), 0);

			int p = 0;
			for (int j = 0; j < idxs[k].size(); ++j) {
				while (p < idxs[k - 1].size() && idxs[k - 1][p] < idxs[k][j]) {
					++p;
				}
				sum1[k][j] = (p == 0) ? 0 : prefix[k - 1][p - 1];
				prefix[k][j] = (j == 0 ? 0 : prefix[k][j - 1]) + sum1[k][j];
				prefix[k][j] %= MOD;
			}
		}

		ans += sum1[cnt].back();
	}
	printf("%d\n", ans % MOD);

	return 0;
}

Compilation message (stderr)

UV.cpp: In function 'int main()':
UV.cpp:47:21: warning: format '%d' expects argument of type 'int', but argument 2 has type 'long long int' [-Wformat=]
   printf("%d\n", ans);
                     ^
UV.cpp:74:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int j = 0; j < idxs[k].size(); ++j) {
                      ^
UV.cpp:75:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while (p < idxs[k - 1].size() && idxs[k - 1][p] < idxs[k][j]) {
              ^
UV.cpp:86:26: warning: format '%d' expects argument of type 'int', but argument 2 has type 'long long int' [-Wformat=]
  printf("%d\n", ans % MOD);
                          ^
UV.cpp:17:17: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
                 ^
UV.cpp:19:25: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld", &arr[i]);
                         ^
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