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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#354746#7858. Basic Equation Solvingucup-team3215AC ✓28ms3864kbC++203.8kb2024-03-15 22:31:332024-03-20 11:13:10

Judging History

你现在查看的是最新测评结果

  • [2024-03-20 11:13:10]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:28ms
  • 内存:3864kb
  • [2024-03-20 11:12:17]
  • hack成功,自动添加数据
  • (/hack/581)
  • [2024-03-15 22:31:33]
  • 评测
  • 测评结果:100
  • 用时:28ms
  • 内存:3872kb
  • [2024-03-15 22:31:33]
  • 提交

answer

#include <algorithm>
#include <array>
#include <cstdint>
#include <iostream>
#include <vector>

using namespace std;

constexpr int mod = 998244353;

auto& add(auto&& a, auto b) { return a -= (a += b) >= mod? mod: 0; }
auto& mul(auto&& a, auto b) { return a = a * (uint64_t)b % mod; }

struct DSU {
  int p[36];

  DSU() { fill(p, p + 36, -1); }

  int operator()(int v) { return getp(v); }
  bool operator()(int u, int v) { return uni(u, v); }
  bool operator[](array<int, 2> uv) { return getp(uv[0]) == getp(uv[1]); }
  int getp(int v) { return p[v] < 0? v: p[v] = getp(p[v]); }
  bool uni(int u, int v) { return (u = getp(u)) != (v = getp(v))? p[v] = u, 1: 0; }
};

int dp[1 << 11];

int solve(auto& gr, vector<int> val) {
  int n = val.size();
  fill_n(dp, 1 << n, 0);
  vector<int> mgr(n);
  for (auto [a, b]: gr) mgr[b] |= 1 << a;
  dp[0] = 1;
  for (int v = 10; v--; )
  for (int m = 1 << n; m--; ) if (dp[m]) {
    int ava = 0;
    for (int i = 0; i < n; ++i) if (!(m >> i & 1) && !(mgr[i] & ~m) && (!~val[i] || val[i] == v)) ava |= 1 << i;
    for (int t = 0; --t &= ava; ) add(dp[m + t], dp[m]);
  }
  return dp[(1 << n) - 1];
}

vector<vector<array<int, 2>>> compe(36);
vector<vector<int>> compv(36);
vector<vector<int>> compval(36);

int solve(auto& gr, DSU eq) {
  DSU weak;
  for (auto& x: compe) x = {};
  for (auto& x: compv) x = {};
  for (auto& x: compval) x = {};
  for (auto [a, b]: gr) if (min(a, b) > 9) weak(a, b);
  for (auto [a, b]: gr) if (max(a, b) > 9 && min(a, b) <= 9) compv[weak(max(a, b))].push_back(min(a, b));
  for (int i = 10; i < 36; ++i) sort(compv[i].begin(), compv[i].end()), compv[i].erase(unique(compv[i].begin(), compv[i].end()), compv[i].end());
  for (int i = 10; i < 36; ++i) if (eq(i) == i) compv[weak(i)].push_back(i);
  for (int i = 10; i < 36; ++i) if (weak(i) == i) compval[i].assign(compv[i].size(), -1);
  for (int i = 10; i < 36; ++i) for (int j = 0; j < compv[i].size(); ++j) if (compv[i][j] <= 9) compval[i][j] = compv[i][j];
  auto id = [&](int c, int v) {
    auto& loc = compv[c];
    return find(loc.begin(), loc.end(), v) - loc.begin();
  };
  for (auto [a, b]: gr) if (max(a, b) > 9) { int c = weak(max(a, b)); compe[c].push_back({id(c, a), id(c, b)}); }
  int ans = 1;
  for (int i = 10; i < 36; ++i) if (compv[i].size()) {
    mul(ans, solve(compe[i], compval[i]));
  }
  return ans;
}

vector<array<string, 2>> inp;
int ans;

bool isgr(auto& gr, int a, int b) {
  uint64_t vis = 1ull << a;
  for (int ch = 1; ch--; )
  for (auto [x, y]: gr) if ((vis >> x & 1) && !(vis >> y & 1)) ch = 1, vis |= 1ull << y;
  return vis >> b & 1;
}

void solve(auto gr, DSU eq, int i) {
  if (i == inp.size()) return void(add(ans, solve(gr, eq)));
  for (int j = 0; j < inp[i][0].size(); ++j) if (int a = eq(inp[i][0][j]), b = eq(inp[i][1][j]); a != b) {
    if (isgr(gr, b, a)) return;
    if (isgr(gr, a, b)) return solve(gr, eq, i + 1);
    gr.push_back({a, b}), solve(gr, eq, i + 1), gr.pop_back();
    eq(min(a, b), max(a, b));
    for (auto& [a, b]: gr) a = eq(a), b = eq(b);
  }
}

int main() {
  DSU eq;
  vector<array<int, 2>> gr;
  for (int i = 0; i < 9; ++i) gr.push_back({i + 1, i});
  int n; cin >> n;
  for (int i = 0; i < n; ++i) {
    string s, t, o; cin >> s;
    for (auto c: "=><"s) if (auto i = s.find(c); ~i) o = ""s + c, t = s.substr(0, i), s = s.substr(i + 1);
    if (s.size() < t.size()) s.insert(s.begin(), t.size() - s.size(), '0');
    if (s.size() > t.size()) t.insert(t.begin(), s.size() - t.size(), '0');
    for (auto& c: s) c = c <= '9'? c - '0': c - 'A' + 10;
    for (auto& c: t) c = c <= '9'? c - '0': c - 'A' + 10;
    if (o == ">") swap(s, t);
    if (o == "=") for (int i = 0; i < s.size(); ++i) eq(min(s[i], t[i]), max(s[i], t[i]));
    else inp.push_back({s, t});
  }
  solve(gr, eq, 0);
  cout << ans << '\n';
}


这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3556kb

input:

1
P=NP

output:

766136394

result:

ok single line: '766136394'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

1
2000CNY>3000USD

output:

0

result:

ok single line: '0'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

4
AB>CD
E<A
BC>FF
EF>F1

output:

23645065

result:

ok single line: '23645065'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

2
BC>DD
BD<EA

output:

27271695

result:

ok single line: '27271695'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

3
CE>ED
CC>BA
BB<AC

output:

426829091

result:

ok single line: '426829091'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

10
KG<EI
EJ>DA
EB<IH
EB>JG
KF<CF
JC>FC
IC<BJ
FI>HH
KD>AH
AE>GJ

output:

87744507

result:

ok single line: '87744507'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

10
EK<GM
EL<DC
DH>IH
EF>BL
IM<LL
EH<JA
DJ<AL
GL>MB
DB>FM
AI<HA

output:

665533468

result:

ok single line: '665533468'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

10
OD<FK
FJ>NL
NH>KB
KM>CA
CI>JH
CI<AH
CE>GI
CO<EG
FA>HA
FA<IJ

output:

878923575

result:

ok single line: '878923575'

Test #9:

score: 0
Accepted
time: 28ms
memory: 3616kb

input:

10
YH>UQ
UQ>FD
YZ>MK
FY<GO
YV<QW
UV<VJ
UZ>EB
EQ>LX
VP>ZF
LZ>TS

output:

867624189

result:

ok single line: '867624189'

Test #10:

score: 0
Accepted
time: 20ms
memory: 3820kb

input:

10
YH<UL
UD<FY
FK<MU
MM<GO
GG<QW
QJ<VQ
VZ<EB
EG<LX
LZ<ZP
ZV<TS

output:

57935948

result:

ok single line: '57935948'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

6
EDDC>AB5A
B<C
E9A9B>CACAA
DE2>A0D
DBCDAC>AED3D5
AAA>BB5

output:

169889581

result:

ok single line: '169889581'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3840kb

input:

9
C<B
A>B
FDF2<FBDB
DB>B4
CF>DA
EF4<D1A
B8<A5
B3>BF
FFA<D5B

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 3ms
memory: 3616kb

input:

5
SP6<GCT
J0RFZ<ZZLUX
UDY7<UEVX
C1CQ>FXTG
SOCT07<MEABU8

output:

603602671

result:

ok single line: '603602671'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

7
F>M
G8F<KC5
F06<E8G
H5J<BJE
M8CDE<DIGMC
AE08>EFI7
DM>CI

output:

821791712

result:

ok single line: '821791712'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

10
PS1>O9O
G76>F8S
J<S
SB>Y4
WS<VM
E<N
ZR<CV
G8T>XPJ
J<A
KT<LS

output:

97272892

result:

ok single line: '97272892'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

4
K1TVV0>TOB4QTH
E5U5C9>QGDEGU
Q9LW3SK>LWFRP
DXUQM=V4N4

output:

467745652

result:

ok single line: '467745652'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

5
BC5F<AC3F
FA4<D48306EDD
EFDD>FDABE
CF5C<AFDDB
FAF<C387

output:

808992671

result:

ok single line: '808992671'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1
ABCDEFGHIJKLMNOPQRSTUVWX>BCDEFGHIJKLMNOPQRSTUVWXY

output:

835948861

result:

ok single line: '835948861'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

3
A=A
00109=109
XX=Z

output:

276262510

result:

ok single line: '276262510'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

2
ABCDEFGHIJKL=CDEFGHIJKLMN
OPQRSTUVWXYZ=RSTUVWXYZOPQ

output:

100000

result:

ok single line: '100000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

9
N=A8
TT<QO3G
LS>JV
TSG>U5F
D<A934
FK<HKG
O>S1
GT<BBCX
SG>S

output:

929594610

result:

ok single line: '929594610'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

0

output:

673653469

result:

ok single line: '673653469'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

3
AB<CD
AC<BD
AD<BC

output:

219041723

result:

ok single line: '219041723'

Extra Test:

score: 0
Extra Test Passed