Andrew, Plaid Cymru SNP Alliance; Kemi Badenoch's year as Tory leader & Dolgarrog dam disaster

Guests include royal biographer Catherine Mayer; former SNP MP Ian Blackford; political historian Sam Blaxland; international law expert Dr Nada Ali, Dolgarrog Community Council Chair Jackie Ley and reader in physical geography Dr Hywel Griffiths. Reviewing the papers Jennifer Burke, Cabinet Member for Culture, Sport & Parks at Cardiff Council and Auriol Miller who's the Chief Executive of Cynon Taf Community Housing group.

Plaid Cymru's Leanne Wood, Professor John Curtice and Labour's Alun Davies MS analyse the Caerphilly by-election result. Ann Davies MP tells us how coal tips are still not safe, 59 years after the Aberfan disaster. And Lord Peter Hain talks about his new book, Liberation and Corruption: Why Freedom Movements Fail.Sam Bennett and Claire Vaughan review the papers.

Vaughan Roderick with political news, discussions and analysis, plus a review of the Sunday papers.

The former Labour MP and Foreign and Commonwealth Office minister for the Middle East Dr Kim Howells discusses the chances of the on-going peace process in the Middle East delivering for both the Palestinian and Israeli people. Plaid Cymru's leader at Westminster, Liz Saville Roberts MP looks back at her party's conference - the last before next May's Senedd elections. Paris-based commentator Nabila Ramdani assesses the prospects of France's new PM - who is the same as the old one - bringing political stability to the Republic. And the the UK's Independent Anti-Slavery Commissioner, Eleanor Lyons looks back at 10 years of the Modern Slavery ActNeuroscientist Dr Emma Yhnell and Conservative Senedd candidate Adam Robinson review the papers.

Haaretz columnist Gideon Levy and physiotherapist Rachel Moses OBE discuss two years of conflict in Gaza. Children's Commissioner Rocio Cifuentes is asking all the parties to commit to five priorities to improve children's lives in Wales, Darren Millar MS is in Manchester for the Conservatives' UK Conference. Former head of the First Minister's office explains how important EU funding was to Wales and Professor Laura McAllister tells us why there's been such a rise in the number of podcasts on Welsh politics.Colegau Cymru's Rachel Cable and the Vale of Glamorgan's Council Leader Lis Burnett review the papers.

Deputy First Minister Huw Irranca-Davies joins us from Labour's conference in Liverpool. Jane Frankland CEO of Knewstart discusses cyber security. Emma Pinchbeck, CEO of the Climate Change Committee explains what went well and what went badly after the last blast furnace closed in Port Talbot. Mark Serwotka joins us to tell us all about new left-leaning 'Your Party' in Wales and Sir Deian Hopkin remembers the 1968 Caerphilly by-election.Tessa Marshall and Karl Davies review the papers.

Kitty Donaldson, Chief Political Commentator at The i Paper discusses Deputy Prime Minister Angela Rayner's resignation and the reshuffle that followed, newly elected leader of the Greens Zack Polanski has been to Cardiff and talks about his hopes for his party, Fin Wilson from Impact Wales tells us how literacy could be improved in Wales and Caroline Jones joins us from Reform's conference in Birmingham.ERS Director Jess Blair and Cardiff Council Leader Huw Thomas review the Sunday papers.

Vaughan Roderick looks back at highlights from Sunday Supplement over the past few months, including a row over rail funding, the future of Ukraine and Syria, the passing of Pope Francis, and the 'Great Bibles' going on display at the National Library of Wales.Interviews with Ben Lake MP, Ukrainian journalist and refugee Kateryna Gorodnycha, Children's Commissioner Rocio Cifuentes, Syrian doctor Mohammad Alhadj Ali, Delyth Jewell MS and Lord Don Touhig, Professor Elin Haf Gruffydd Jones and the National Library's Timothy Cutts.

Vaughan Roderick presents the highlights of the past few months. Alun Davies MS discusses the effect of welfare changes on his Blaenau Gwent constituents; Shereen Williams and Matt Kilcoyne have different views on the new electoral boundaries' names for the next Senedd election; Peter Kellner and Professor Matt Qvortrup discuss the benefits and drawbacks of referenda; Dr Anne Harrington remembers the bombings of Hiroshima and Nagasaki; and Judith Mackrell talks about sibling artists Gwen and Augustus John.

Vaughan Roderick and his guests, former BBC political editor Betsan Powys and current political correspondents Elliw Gwawr and Cemlyn Davies look ahead at the next Senedd election in May. With 10 months to go they look at the changes to the electoral system, the runners and riders, polling and the issues at stake - answering all the questions you didn't know you wanted answering.