Three weekends running, hundreds of thousands of mostly young French citizens have taken to the streets over the cost of living and the deteriorating state of schools. The government says 320,000 marched nationwide on Saturday, including 70,000 in Paris. Organisers claim nearly 500,000, with 200,000 in the capital alone. The gap between those numbers is itself a data point about the trust deficit. The protests began with high school students angry about neglected buildings, teacher shortages, and a university admissions system widely seen as rigged against disadvantaged students. Labour unions have since joined, broadening the movement into a general cost-of-living revolt. This is not a single-issue march — it is a coalition of grievances converging on a single target: a government perceived as deaf. Saturday's marches in Paris started peacefully but turned violent near the designated endpoint. Bins and street furniture were set alight. Dozens of masked individuals in black used hammers to pry up paving stones and hurl them at police. At least one incendiary device was thrown. Police responded with tear gas and baton charges. Al Jazeera's Natacha Butler reported her team had to evacuate because the tear gas was too dense to breathe. At least 290 people were arrested nationwide. The government's response has been a mix of security escalation and tentative concession. Some 70,000 police and gendarmes were deployed. Interior Minister Laurent Nunez warned of "very high risk" of disorder, especially after dark on Halloween. A curfew was imposed on unaccompanied minors around the Champs-Elysees, and the main Paris march was relocated to the city's eastern edge after a last-minute court battle. Prime Minister Sebastien Lecornu held meetings with student unions and signalled measures to ease the cost of living — but protesters say the trust is gone. The pattern is now continental. On October 17, protests drew more than 500,000 in France and produced some of the worst rioting in years, with shops in Paris looted. On Saturday, thousands rallied in Germany across more than 30 cities, with Cologne police deploying water cannon. Barcelona police prepared their highest alert level after October 24 rioting led to about 130 arrests, mostly minors. Italian police were on alert after clashes in Milan, Turin, and Bologna. The structural question is not whether the government can contain any single Saturday — 70,000 police can hold a perimeter. The question is what happens when an entire generation concludes that the institutions meant to serve them — schools, universities, the admissions system, the cost-of-living safety net — are not working. The protests are growing, not shrinking. The coalition is broadening, not narrowing. And the contagion across European borders suggests France is the leading edge of a pattern, not an outlier. Lecornu's meetings with student unions are the right instinct executed too late and too tentatively. The protesters are not asking for consultations. They are asking for visible, material change in school infrastructure, teacher numbers, admissions fairness, and living costs. Until the government delivers something concrete enough to restore a minimum of credibility, the next Saturday will look like the last one — or worse.