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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#789420 | #9782. NonZero PrefSuf Sums | ucup-team3519# | AC ✓ | 1203ms | 3948kb | C++17 | 3.7kb | 2024-11-27 20:19:18 | 2024-11-27 20:19:21 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define V vector
#define pb push_back
#define fi first
#define se second
#define all0(x) (x).begin(), (x).end()
#define all1(x) (x).begin() + 1, (x).end()
typedef long long LL;
typedef pair<int, int> pi;
mt19937 mrand(chrono::steady_clock().now().time_since_epoch().count());
int mod;
LL MOD(LL x) {
if(x >= mod) return x- mod;
if(x < 0) return x + mod;
return x;
}
LL qpow(LL x, LL k) {
LL ans =1 ;
while(k) {
if(k & 1) ans = x * ans % mod;
k >>= 1;
x = x * x % mod;
}
return ans;
}
int n;
const int N = 101;
int ans[N], hav[N];
LL deal_dp(int t, int sum) {
// cout << "t, sum : " << t << " " << sum << endl;
V<V<LL>> dp(n * 2 + 1, V<LL>(2));
V<V<LL>> n_dp(n * 2 + 1, V<LL>(2));
dp[n][0] = 1;
int lo = 2 - sum;
for(int i = 1; i <= n; i++) {
for(auto &v : n_dp) for(auto &x : v) x = 0;
for(int j = -n; j <= n; j++) {
//
int l = lo + j, r = j + 2;
l = max(-n, l);
//0->0
if(l <= n) n_dp[l + n][0] = MOD(n_dp[l + n][0] + dp[j + n][0]);
if(r <= n) n_dp[r + n][0] = MOD(n_dp[r + n][0] - dp[j + n][0]);
//1->1
if(l <= n) n_dp[l + n][1] = MOD(n_dp[l + n][1] + dp[j + n][1]);
if(r <= n) n_dp[r + n][1] = MOD(n_dp[r + n][1] - dp[j + n][1]);
l = j + -t, r = lo - 1 + j + 1;
l = max(-n, l);
// cout << "i, j, l, r : " << i << " " << j << " " << l << " " << r << endl;
if(l <= r) {
//0->1
if(l <= n) n_dp[l + n][1] = MOD(n_dp[l + n][1] + dp[j + n][0]);
if(r <= n) n_dp[r + n][1] = MOD(n_dp[r + n][1] - dp[j + n][0]);
//1->1
if(l <= n) n_dp[l + n][1] = MOD(n_dp[l + n][1] + dp[j + n][1]);
if(r <= n) n_dp[r + n][1] = MOD(n_dp[r + n][1] - dp[j + n][1]);
}
}
for(int i = 1; i < n_dp.size(); i++) {
n_dp[i][0] = MOD(n_dp[i][0] + n_dp[i - 1][0]);
n_dp[i][1] = MOD(n_dp[i][1] + n_dp[i - 1][1]);
}
swap(dp, n_dp);
// cout << "dp , i : " << i << endl;
// for(int i = -n; i <= n; i++) cout << dp[n + i][0] << " ";
// cout << endl;
// for(int i = -n; i <= n; i++) cout << dp[i + n][1] << " ";
// cout << endl;
}
return dp[sum + n][1];
}
LL cal_t(int t) {
if(hav[t]) return ans[t];
//
for(int sum = 1; sum <= n; sum++) {
ans[t] = MOD(ans[t] + deal_dp(t, sum));
// cout << "t, sum, dp : " << t << " " << sum << " " << deal_dp(t, sum) << endl;
}
hav[t] = 1;
return ans[t];
}
void solve(){
int m; cin >> n >> m;
cin >> mod;
LL ans = 0;
ans = qpow(2 * m + 1, n);
// cout << "ans : " << ans << endl;
for(int x = 1; x <= m; x++) {
ans -= 2 * cal_t(m / x);
}
ans = MOD(ans % mod);
// cout << "ans : " << ans << endl;
int tot = n * m;
V<LL> dp(2 * tot + 1);
auto n_dp = dp;
dp[tot] = 1;
for(int i = 1; i <= n; i++) {
for(auto &x : n_dp) x = 0;
for(int j = -tot; j <= tot; j++) {
if(dp[tot + j] == 0) continue;
for(int k = j - m; k <= j + m; k++) {
n_dp[tot + k] = MOD(n_dp[tot + k] + dp[tot + j]);
}
}
dp = n_dp;
}
ans = MOD(ans - dp[tot]);
// cout << "ans : " << ans << endl;
cout << ans << "\n";
}
int main() {
// ios::sync_with_stdio(0),cin.tie(0);
// int t; cin >> t;
// while(t--)
solve();
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3812kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 181ms
memory: 3744kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3536kb
input:
2 1 998244353
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 183ms
memory: 3696kb
input:
69 42 696969697
output:
378553557
result:
ok single line: '378553557'
Test #5:
score: 0
Accepted
time: 242ms
memory: 3948kb
input:
61 75 677323601
output:
34613998
result:
ok single line: '34613998'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
13 14 670577333
output:
41465431
result:
ok single line: '41465431'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
14 6 987686347
output:
37536510
result:
ok single line: '37536510'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
15 12 196428923
output:
29322522
result:
ok single line: '29322522'
Test #9:
score: 0
Accepted
time: 42ms
memory: 3672kb
input:
68 7 786815587
output:
149281835
result:
ok single line: '149281835'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
3 2 503002109
output:
82
result:
ok single line: '82'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
13 5 756093197
output:
415698676
result:
ok single line: '415698676'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
2 3 646574611
output:
30
result:
ok single line: '30'
Test #13:
score: 0
Accepted
time: 71ms
memory: 3728kb
input:
39 68 120037189
output:
43217507
result:
ok single line: '43217507'
Test #14:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
13 4 423132517
output:
360231790
result:
ok single line: '360231790'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
14 3 309713387
output:
94215386
result:
ok single line: '94215386'
Test #16:
score: 0
Accepted
time: 22ms
memory: 3704kb
input:
24 77 886983941
output:
211636479
result:
ok single line: '211636479'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
3 3 504388063
output:
270
result:
ok single line: '270'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
3 1 936205423
output:
8
result:
ok single line: '8'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
3 3 295983139
output:
270
result:
ok single line: '270'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
10 15 446169107
output:
149884328
result:
ok single line: '149884328'
Test #21:
score: 0
Accepted
time: 15ms
memory: 3540kb
input:
37 18 833753929
output:
592917251
result:
ok single line: '592917251'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
11 3 998773403
output:
860630017
result:
ok single line: '860630017'
Test #23:
score: 0
Accepted
time: 8ms
memory: 3620kb
input:
14 85 688036639
output:
347188409
result:
ok single line: '347188409'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
3 3 844621907
output:
270
result:
ok single line: '270'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
3 4 204335891
output:
620
result:
ok single line: '620'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
7 8 113007667
output:
58946097
result:
ok single line: '58946097'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
4 1 637268377
output:
22
result:
ok single line: '22'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
11 14 391637237
output:
303270280
result:
ok single line: '303270280'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
3 2 208286231
output:
82
result:
ok single line: '82'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
2 11 662696483
output:
462
result:
ok single line: '462'
Test #31:
score: 0
Accepted
time: 9ms
memory: 3620kb
input:
19 55 974135299
output:
887460557
result:
ok single line: '887460557'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
6 8 417027509
output:
23351024
result:
ok single line: '23351024'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
8 13 624006587
output:
353008442
result:
ok single line: '353008442'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
10 10 740294671
output:
79436611
result:
ok single line: '79436611'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
11 10 394088657
output:
161476458
result:
ok single line: '161476458'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
9 27 562853573
output:
135252259
result:
ok single line: '135252259'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
8 3 829129009
output:
5349034
result:
ok single line: '5349034'
Test #38:
score: 0
Accepted
time: 95ms
memory: 3816kb
input:
51 49 924010279
output:
815049368
result:
ok single line: '815049368'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
12 2 308466749
output:
223013998
result:
ok single line: '223013998'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
7 4 567557693
output:
4502296
result:
ok single line: '4502296'
Test #41:
score: 0
Accepted
time: 90ms
memory: 3688kb
input:
36 93 943780729
output:
13599465
result:
ok single line: '13599465'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
2 1 828681127
output:
2
result:
ok single line: '2'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
3 3 534160729
output:
270
result:
ok single line: '270'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
7 12 920925433
output:
453086694
result:
ok single line: '453086694'
Test #45:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
3 2 440546987
output:
82
result:
ok single line: '82'
Test #46:
score: 0
Accepted
time: 122ms
memory: 3676kb
input:
90 9 291269963
output:
72560304
result:
ok single line: '72560304'
Test #47:
score: 0
Accepted
time: 10ms
memory: 3552kb
input:
38 10 867575113
output:
165530481
result:
ok single line: '165530481'
Test #48:
score: 0
Accepted
time: 61ms
memory: 3572kb
input:
48 37 152663531
output:
135425620
result:
ok single line: '135425620'
Test #49:
score: 0
Accepted
time: 2ms
memory: 3616kb
input:
15 15 991731803
output:
102703562
result:
ok single line: '102703562'
Test #50:
score: 0
Accepted
time: 1203ms
memory: 3616kb
input:
100 100 696969697
output:
313377809
result:
ok single line: '313377809'
Extra Test:
score: 0
Extra Test Passed